WO2020063144A1 - Method and system for evaluating energy delivery capacity in flexible dc electrical grid - Google Patents

Method and system for evaluating energy delivery capacity in flexible dc electrical grid Download PDF

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WO2020063144A1
WO2020063144A1 PCT/CN2019/100210 CN2019100210W WO2020063144A1 WO 2020063144 A1 WO2020063144 A1 WO 2020063144A1 CN 2019100210 W CN2019100210 W CN 2019100210W WO 2020063144 A1 WO2020063144 A1 WO 2020063144A1
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power
power supply
maximum
wind
area
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PCT/CN2019/100210
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French (fr)
Chinese (zh)
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杨晓楠
郎燕生
张印
刘鹏
孙博
罗雅迪
王淼
马晓忱
李理
李静
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中国电力科学研究院有限公司
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/46Controlling of the sharing of output between the generators, converters, or transformers
    • H02J3/466Scheduling the operation of the generators, e.g. connecting or disconnecting generators to meet a given demand
    • H02J3/472For selectively connecting the AC sources in a particular order, e.g. sequential, alternating or subsets of sources
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J5/00Circuit arrangements for transfer of electric power between ac networks and dc networks
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00Energy generation through renewable energy sources
    • Y02E10/70Wind energy
    • Y02E10/76Power conversion electric or electronic aspects

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  • This article belongs to the field of power system automation, for example, it relates to a method and system for evaluating energy delivery capacity of a flexible DC grid.
  • This paper proposes a method and system for assessing the energy delivery capacity of a flexible DC power grid.
  • the research focuses on the power supply capability of a wind-solar pumping combined power supply system connected via a multi-terminal flexible DC power grid.
  • the maximum delivery capacity of the wind and solar pumping operation is obtained.
  • a method for evaluating energy delivery capacity of a flexible DC power grid includes:
  • the constraint conditions and objective function of the power supply area are defined, and an optimized model for combined operation of wind and light extraction is constructed; the optimized model for combined operation of wind and light extraction includes the constraint conditions and objective function of the supply area
  • the power supply area includes: connecting a wind farm, a photovoltaic power station, and a pumped storage power station to each other through a flexible DC line;
  • An interior point method is used to solve the wind-solar pumping operation optimization model to obtain the maximum delivered power of the power supply area.
  • An energy delivery capability evaluation system for a flexible DC grid includes:
  • Area division module configured to divide a pre-established AC / DC hybrid system into a power supply area and a power reception area
  • a building module configured to define a constraint condition and an objective function of the power supply area based on the consumption limit of the power receiving area, and construct an optimization model for combined operation of scenery and light extraction including the constraint condition and the objective function of the power supply area;
  • the power supply area includes: connecting wind farms, photovoltaic power stations and pumped storage power stations to each other through flexible DC lines;
  • the analysis module is configured to solve the model using the interior point method to obtain the maximum delivered power in the power supply area.
  • An electronic device includes:
  • At least one processor At least one processor
  • Memory configured to store at least one program
  • the at least one processor When the at least one program is executed by the at least one processor, the at least one processor implements the method as described above.
  • a computer-readable storage medium stores computer-executable instructions, where the computer-executable instructions are used to perform the method described above.
  • FIG. 1 is a flowchart of a method for evaluating an energy transmission capability of a flexible DC power grid according to an embodiment of the present invention
  • FIG. 2 is a schematic diagram of segmentation provided in an embodiment of the present invention.
  • Fig. 2 (a) is a schematic diagram of the working state of a pumped storage power station
  • Fig. 2 (b) is a graph showing the full power of the wind and wind after segmentation
  • Fig. 2 (c) is the daily maximum power supply of the combined power supply system is less than the output power
  • Figure 2 (d) is a schematic diagram of the situation where the maximum daily power supply of the combined power supply system is greater than the output power
  • FIG. 3 is a schematic diagram of a case of consumption limit provided in an embodiment of the present invention.
  • FIG. 3 (a) is a diagram of the digestion curve
  • FIG. 3 (b) is a schematic diagram of the tracking digestion curve by the segmentation method
  • FIG. 4 is a schematic structural diagram of an electronic device according to an embodiment of the present invention.
  • the combined operation system of wind power, photovoltaic and pumped storage power stations is more concerned with economic operation and based on planning and design.
  • This paper proposes a method and system for evaluating the energy delivery capacity of a flexible DC power grid, which can be effectively used for multi-terminal flexible DC power grids with integrated wind power, photovoltaic, and pumped storage power stations. Through the 24-hour segmented modeling of wind power photovoltaics, the curve of maximum output sum of wind and light in each period is obtained.
  • the flexible DC power grid aggregates the analysis results of the new energy delivery capacity to obtain the output power and maximum delivery power of the wind and solar pumping, which is convenient for subsequent dispatchers to make scheduling plans and make real-time decisions.
  • a method for evaluating the energy delivery capacity of a flexible DC power grid as shown in FIG. 1 includes:
  • S1 divides a pre-established AC / DC hybrid system into a power supply area and a power reception area;
  • S2 uses the interior point method to solve the optimization model of combined operation of wind and solar pumping to obtain the maximum delivered power in the power supply area;
  • the optimization model for combined operation of wind and light pumping includes a constraint condition and an objective function of a power supply area defined based on the consumption limit of the power receiving area.
  • step S1 dividing the pre-established AC / DC hybrid system into a power supply area and a power reception area includes:
  • the AC / DC hybrid system includes: a combined power supply system and an AC / DC system;
  • the AC and DC system is defined as a power receiving area
  • the combined power supply system is defined as a power supply area.
  • the combined power supply system includes: a flexible DC line connecting a wind farm, a photovoltaic power station, and a pumped storage power station to each other.
  • step S2 The consumption limit of the power receiving area in step S2 is modeled in advance by segmenting multiple times in a single day in advance, and the power receiving area corresponding to multiple times obtained through power flow calculation is used to draw the consumption limit of the power receiving area. Nano limit curve. Based on this, step S2 defines the power supply area's constraints and objective function based on the power consumption area's consumption limit.
  • the objective function of the power supply area is the maximum output of the combined power supply system in a single day, and based on the impact of the power supply area.
  • Factor equations add inequality constraints for flexible DC systems, inequality constraints for pumped storage power stations, inequality constraints for actual output from wind farms and photovoltaic power plants, and inequality constraints for the output power of the combined power supply system as constraints for the power supply area;
  • the inequality constraints of the flexible DC system include: DC node voltage constraints, inverter AC-side voltage constraints, modulation ratio constraints, voltage source converter (VSC) thermal capacity constraints, and DC line maximum allowable current constraints;
  • the inequality constraints of pumped storage power stations include: upper and lower storage capacity constraints, storage capacity constraints at the end of sunrise, and power constraints of pumped storage power stations.
  • the influencing factor equations in the power supply area include: the DC network equation, the VSC converter (ie, voltage source converter) equation, and the storage capacity variation equation for pumped storage power stations;
  • P dv and U dv are the node injection power and node voltage of the DC node v
  • N d is the set of DC nodes
  • Y dvk is the v-th and k-th elements of the admittance matrix Y d of the flexible DC network node
  • VSC converter equation is as follows:
  • R is the phase resistance
  • X is the phase inductance
  • U s is the voltage amplitude of the AC side of the VSC converter
  • U c is the voltage amplitude of the valve side
  • ⁇ sc is the voltage between the valve side voltage and the AC side voltage of the VSC converter.
  • P s is the active power injected into the AC side of the VSC converter
  • Q s is the active power injected into the AC side of the VSC converter
  • P c is the active power output from the valve side of the VSC converter
  • P d is the VSC converter Active power injected into the DC line
  • I s is the current flowing from the AC system into the VSC converter transformer (ie, VSC converter transformer)
  • U d is the unipolar voltage on the DC side of the VSC converter
  • M is the modulation degree
  • is the DC voltage Utilization rate
  • the VSC converter transformer is a transformer of the VSC converter.
  • the storage capacity change equation of the pumped storage power station includes:
  • the objective function of the power supply area is determined by the following formula:
  • I the active power transmitted between nodes i and j at time t
  • A is the power supply area
  • B is the power reception area
  • N is the number of sampling points in a day
  • ⁇ t is the sampling time interval
  • f is the maximum of the power supply area. Delivery power.
  • U kd is the d-th DC node voltage
  • k is the number of DC nodes.
  • U nc , M n , and I nc are the AC-side voltage, modulation ratio, and thermal capacity of the c-th VSC converter.
  • Modulation ratio maximum, minimum and thermal capacity upper limit of the c-th VSC converter n is the collection of VSC converters
  • I kv is the maximum allowable current of the v-th flexible DC line
  • Is the rated current of the vth flexible DC line
  • z is the number of flexible DC lines.
  • P h is the active power from the pumped storage power station
  • V t u and V t d are the storage capacity of the upper reservoir and the storage capacity of the lower reservoir at time t , respectively.
  • P omax and P omin are pumped storage power station of the maximum and minimum power output;
  • P imax and P imin pumped storage are first day, the last day the reservoir capacity, [mu] is the coefficient of variation of the maximum capacity were allowed 1 day Maximum and minimum pumping output of the power station.
  • P f and P g are the actual output of the wind farm and the photovoltaic power plant, respectively, and P ′ f and P ′ g are the maximum output of the wind farm and the photovoltaic power plant, respectively.
  • Step S2 using the interior point method to solve the model, and obtaining the maximum delivered power in the power supply area includes:
  • step b) above the difference between the sum of the maximum output of the wind farm and the photovoltaic power station and the dissipation limit of the power receiving area is determined by the following formula:
  • N t is the total number of typical daily sampling points
  • Is the dissipation limit of the power receiving area at time t Represents the maximum output variable of the wind farm at time t
  • step d) equivalently transforming the optimization model of the combined operation of scenery and light extraction according to the time period includes:
  • the interior point method is used to solve the updated combined optimization model of wind and solar pumping operation to obtain the maximum delivered power in the power supply area.
  • the maximum output of the wind farm and the photovoltaic power plant in the wind-solar pumping combined operation optimization model is updated by the following formula:
  • P ′′ f and P ′′ g are the average values of the maximum output of the wind farm and the photovoltaic power plant in a unit time period, respectively;
  • T m is the length of the m-th period;
  • N Tm is the number of sampling points included in the m-th period .
  • the consumption limit curve of the power receiving area is transformed into a stepped curve by the following formula:
  • a and b are sampling point numbers, and m is a period number after segmentation.
  • N T is the number of sampling points m period.
  • P ' h is the active power from the pumped storage power station
  • P s is the maximum delivered power in the power supply area
  • the maximum transmission power on the cross-section between the supply and reception areas should be the smaller of the maximum supply power in the supply area and the maximum dissipation power in the reception area. That is, formula (1):
  • P Smax is the delivery limit of the power supply area
  • P Rmax is the absorption limit of the power reception area
  • the combined power supply system consisting of wind power, photovoltaics, pumped storage power stations and flexible grids is divided into power supply areas, and the rest are divided into power receiving areas.
  • I the active power transmitted between nodes i and j at time t;
  • A is the power supply area, that is, the wind and solar power supply system;
  • B is the power receiving area;
  • N is the number of sampling points in a day;
  • the use of the objective function can make up for the above-mentioned shortcomings of the traditional optimization model.
  • it can avoid pumping a large amount of water at the end of the day to meet the storage capacity requirements, and thus obtain more outbound power.
  • the transmission power curve is more stable.
  • a hybrid AC / DC system with grid-connected wind and solar power through a flexible DC system is researched, and an optimized model is established for the power supply area of the system (wind power-photovoltaic-pumped energy storage through a flexible line connected to each other). Including the following three aspects.
  • P dv and U dv are the node injection power and node voltage of the DC node v
  • N d is the set of DC nodes
  • Y dvk is the v-th row and k-th column elements of the admittance matrix Y d of the DC sub-network node.
  • t represents the time t
  • V u is the storage capacity of the upper reservoir
  • V d is the storage capacity of the lower reservoir
  • Ph is the active power from the pumped storage power station
  • the inequality constraints of the flexible system include: DC node voltage constraints, converter AC side voltage constraints, modulation ratio constraints, VSC thermal capacity constraints, and DC line maximum allowable current constraints, as shown in equation (10):
  • n is the VSC number
  • NC is the set of all VSCs in the system.
  • the pumped storage power station inequality constraint adopts the 2.3 section pumped storage power generation mathematical model: upper and lower storage capacity constraints (formula 11), storage capacity constraints (12) and power constraints (13) at the end of sunrise.
  • P omax and Pomin are the maximum and minimum output when pumping and generating, respectively;
  • P imax and P imin are the maximum and minimum output when pumping and pumping respectively.
  • P ′ f and P ′ g respectively indicate the full power output of the wind farm and photovoltaic power station under the condition of not giving up wind and light, and the output values are obtained from the wind farm and photovoltaic power plant power analysis respectively.
  • the output power of the wind-solar pumping combined operation system at time t Is the consumption limit of the power receiving area at time t, which is calculated by the calculation method of the new energy consumption limit of the power receiving area.
  • the objective function in the optimization model is the amount of power supply
  • the principle is to convert the full power of the wind and light equivalently before and after conversion for a period of time.
  • the power is a constant constant over a period of time.
  • the stepped dashed line in FIG. 2 (b) is the equivalent full-scenery power curve. Taking the cd period as an example, the rectangular area enclosed by the equivalent line segment ab and the horizontal axis cd should be equal to the area of the shaded area.
  • T m is the duration of the m-th segment
  • N Tm is the set of sampling points contained in the m-th segment.
  • the dissipation limit curve of the power receiving area is also changed into a stepped polyline, and the dissipation limit in the segment remains unchanged. Its value is taken as the minimum value of the dissipation limit in the segment, as shown by the thick dashed line in Figure 2 (b). As shown. Change formula (15) to (18).
  • P s is the total output power of the wind-solar pumping combined system. This formula can be used as the basis for 3) back-pushing the actual scheduling scheme of wind and light pumping.
  • the daily maximum power supply of the wind-solar pumping system and the corresponding output power curve are obtained; as shown in Figure 2 (c), where the curve L3 is the output power curve of the joint system.
  • the thin dashed line represents the sum of the full power of the equivalent wind and light, and the thick dashed line represents the dissipation limit after the transformation.
  • the effect of the segmentation method on the optimization model's solution speed mainly depends on the number of segments after segmentation. The smaller the number of periods after segmentation, the fewer the number of optimization variables, and the more obvious the speed-up effect. Then, if the wind-power photovoltaic full-generation curve fluctuates frequently near the absorption limit curve of the power receiving area, it will make the number of periods after segmentation larger, and then the segmentation method can only be shortened by a small amount, or even the optimization solution time.
  • L1 represents the maximum output of the wind and the sun, that is, the full power of the wind and light
  • the above-mentioned segmentation method can be adjusted.
  • model transformation and reduction of the number of independent variables only the equivalent wind and full power curve is used, and the consumption limit curve is no longer transformed.
  • the formula is still used (15) Constrain the outgoing power.
  • it is no longer required to keep the output power constant in the segment, that is, when setting independent variables, a set of output power variables is set for each sampling point, and a set of wind power output variables and a set of photovoltaic output variables are set in each segment.
  • the adjusted segmentation method has a stronger ability to track the consumption curve, but the number of independent variables that can be reduced before adjustment is reduced, so the calculation speed is relatively slow.
  • this application also proposes an energy delivery capability evaluation system for a flexible DC power grid, including:
  • Area division module configured to divide a pre-established AC / DC hybrid system into a power supply area and a power reception area
  • a construction module configured to construct a wind and light pumping combined operation optimization model including defining a constraint condition of a power supply area and an objective function based on the consumption limit of the power reception area;
  • the analysis module is configured to solve the model using the interior point method to obtain the maximum delivered power in the power supply area.
  • this application may be provided as a method, a system, or a computer program product. Therefore, this application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Moreover, this application may take the form of a computer program product implemented on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.
  • computer-usable storage media including, but not limited to, disk storage, CD-ROM, optical storage, etc.
  • These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing device to work in a particular manner such that the instructions stored in the computer-readable memory produce a manufactured article including an instruction device, the instructions
  • the device implements the functions specified in one or more flowcharts and / or one or more blocks of the block diagram.
  • These computer program instructions can also be loaded on a computer or other programmable data processing device, so that a series of steps can be performed on the computer or other programmable device to produce a computer-implemented process, which can be executed on the computer or other programmable device.
  • the instructions provide steps for implementing the functions specified in one or more flowcharts and / or one or more blocks of the block diagrams.
  • FIG. 4 is a schematic diagram of a hardware structure of an electronic device according to an embodiment of the present invention. As shown in FIG. 4, the electronic device includes one or more processors 210 and a memory 220. A processor 210 is taken as an example in FIG. 4.
  • the electronic device may further include an input device 230 and an output device 240.
  • the processor 210, the memory 220, the input device 230, and the output device 240 in the electronic device may be connected through a bus or other manners.
  • the connection through the bus is taken as an example.
  • the memory 220 is a computer-readable storage medium, and may be configured to store software programs, computer-executable programs, and modules.
  • the processor 210 executes various functional applications and data processing by running software programs, instructions, and modules stored in the memory 220 to implement any one of the methods in the above embodiments.
  • the memory 220 may include a storage program area and a storage data area, wherein the storage program area may store an operating system and application programs required for at least one function; the storage data area may store data created according to the use of the electronic device, and the like.
  • the memory may include volatile memory such as Random Access Memory (RAM), and may also include non-volatile memory, such as at least one disk storage device, flash memory device, or other non-transitory solid-state storage device.
  • RAM Random Access Memory
  • the memory 220 may be a non-transitory computer storage medium or a transient computer storage medium.
  • the non-transitory computer storage medium for example, at least one magnetic disk storage device, flash memory device, or other non-volatile solid-state storage device.
  • the memory 220 may optionally include a memory remotely disposed with respect to the processor 210, and these remote memories may be connected to the electronic device through a network. Examples of the above network may include the Internet, an intranet, a local area network, a mobile communication network, and combinations thereof.
  • the input device 230 may be configured to receive inputted numeric or character information and generate key signal inputs related to user settings and function control of the electronic device.
  • the output device 240 may include a display device such as a display screen.
  • This embodiment also provides a computer-readable storage medium storing computer-executable instructions, where the computer-executable instructions are used to execute the foregoing method.
  • All or part of the processes in the method of the above embodiment can be completed by executing related hardware through a computer program.
  • the program can be stored in a non-transitory computer-readable storage medium.
  • the method can include the method described above.
  • the process of the embodiment, wherein the non-transitory computer-readable storage medium may be a magnetic disk, an optical disk, a read-only memory (ROM), or a RAM.
  • This paper relates to a method and system for evaluating the energy delivery capacity of a flexible DC power grid, focusing on how to improve the utilization rate of wind and solar energy through the optimized operation of wind and solar pumping combined operation.
  • the pre-established AC / DC hybrid system is divided into a power supply area and a power receiving area, and the interior point method is used to solve the wind and solar pumping combined operation optimization model to obtain the maximum outbound power supply in the power supply area.
  • the maximum supply of new energy is fed into the outbound end of the flexible grid, so as to evaluate the outbound capacity of the combined operation of wind and solar pumping, which provides a strong basis for subsequent dispatchers to formulate scheduling plans and real-time decisions.
  • the optimization model for combined operation of wind and light extraction includes the constraints and objective functions of the power supply area defined based on the power consumption area's consumption limit; the use of the objective function can make up for the shortcomings of the traditional optimization model iterative flow, which reduces the number of model optimization variables. , Improve the model solving speed. In the case of insufficient scenery resources, it is possible to avoid a large amount of pumping at the end of the day in order to meet the storage capacity requirements, thereby obtaining more outbound power, and at the same time, make the outbound power curve of the combined system more stable.

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Abstract

Provided are a method and a system for evaluating energy delivery capacity in a flexible DC electrical grid, the method comprising: a pre-established AC/DC hybrid system is divided into a power supplying region and a power receiving region; on the basis of the absorption limit of the power receiving region, a limiting condition and a target function of the power supplying region are defined, and an optimization model for combined operation of wind, solar, and pumped-storage hydroelectricity power is created, said optimization model comprising the limiting condition and the target function of the power supplying region; the interior point method is used to solve the optimization model to obtain a maximum delivery power of the power supplying region.

Description

一种柔性直流电网的能源外送能力评估方法及系统Method and system for evaluating energy delivery capability of flexible DC grid
本公开要求在2018年09月30日提交中国专利局、申请号为201811154591.2的中国专利申请的优先权,以上申请的全部内容通过引用结合在本公开中。This disclosure claims the priority of a Chinese patent application filed with the Chinese Patent Office on September 30, 2018, with application number 201811154591.2. The entire contents of the above application are incorporated herein by reference.
技术领域Technical field
本文属于电力系统自动化领域,例如涉及一种柔性直流电网的能源外送能力评估方法及系统。This article belongs to the field of power system automation, for example, it relates to a method and system for evaluating energy delivery capacity of a flexible DC grid.
背景技术Background technique
随着能源结构的调整,新能源的开发规模逐渐加大。世界各地对新能源的应用日益广泛,截止2016年底,中国风电和太阳能并网装机容量分别达到1.47亿千瓦和7800万千瓦。然而传统技术在新能源规模化接入电力系统时面临了许多现实问题。因此,具备快速灵活的可控性、高度的紧凑性及优良的环境适应性的柔性直流输电技术在汇集新能源的并网中得到广泛应用。风电与光伏出力的波动性和间歇性给电力系统的安全稳定运行带来了挑战,利用储能系统与风电场、光伏电厂配合运行是改善风光出力特性,提升能源利用率的有效途径。其中,抽水蓄能以其成本低、容量大、寿命长等优势备受关注,成为最为成熟的储能技术之一。研究风电、光伏、抽水蓄能联合运行系统的供电能力如何,怎样协同调度风光抽出力才能获得联合系统平稳出力,并最大限度利用风光能量,对推进风电、光伏大规模并网有重要意义。With the adjustment of the energy structure, the scale of new energy development has gradually increased. The application of new energy is increasingly widespread all over the world. By the end of 2016, China's wind and solar grid-connected installed capacity reached 147 million kilowatts and 78 million kilowatts, respectively. However, traditional technologies face many practical problems when new energy is connected to power systems on a large scale. Therefore, flexible DC transmission technology with fast and flexible controllability, high compactness, and excellent environmental adaptability is widely used in the grid connection of new energy sources. The fluctuating and intermittent nature of wind power and photovoltaic output has brought challenges to the safe and stable operation of the power system. Using energy storage systems in conjunction with wind farms and photovoltaic power plants is an effective way to improve wind and solar power output characteristics and energy efficiency. Among them, pumped storage has attracted much attention due to its low cost, large capacity, and long life, and has become one of the most mature energy storage technologies. Studying the power supply capacity of the combined operation system of wind power, photovoltaic, and pumped storage, and how to coordinate the dispatch of wind and solar power to obtain a stable output of the combined system, and to maximize the use of wind and solar energy, are of great significance to promote the large-scale integration of wind power and photovoltaics.
现阶段对新能源电站与抽水蓄能联合运行系统的研究主要集中在两个方向:电站容量规划与运行优化调度。其中,对于联合系统运行调度的研究主要集中在提升系统运行的经济性,或是优化联合系统功率输出特性以提升系统稳定性,没有针对系统运行汇集新能源外送能力的分析研究,所提优化调度方法在对跨 区外送新能源、提高清洁能源利用率的效果上缺乏一定说服力。目前针对柔性直流电网汇集风电、光伏、抽蓄发电等新能源最大外送极限缺少相关分析计算的方法。而且相关技术缺少针对风电光伏新能源与抽水蓄能联合运行系统供电能力的研究。At this stage, research on new energy power stations and pumped storage combined operation systems is mainly focused on two directions: power station capacity planning and operation optimization scheduling. Among them, the research on the operation and scheduling of the joint system mainly focuses on improving the economics of system operation, or optimizing the power output characteristics of the joint system to improve the system stability. There is no analysis and research on the system operation to collect new energy delivery capabilities. The dispatching method is not convincing in the effect of sending new energy across regions and improving the utilization of clean energy. At present, there is no relevant analysis and calculation method for the maximum delivery limit of new energy such as wind power, photovoltaics, and pumped storage power generation in flexible DC grids. And the related technology lacks research on the power supply capacity of the combined operation system of wind power photovoltaic new energy and pumped storage.
发明内容Summary of the Invention
本文提出一种柔性直流电网的能源外送能力评估方法及系统,针对经由多端柔性直流电网连接的风光抽联合供电系统的供电能力展开研究,在柔直电网外送端汇入新能源最大供电量,通过风光抽联合运行优化调度提升风光能量利用率,从而得到风光抽联合运行的最大外送能力。This paper proposes a method and system for assessing the energy delivery capacity of a flexible DC power grid. The research focuses on the power supply capability of a wind-solar pumping combined power supply system connected via a multi-terminal flexible DC power grid. Through the optimized operation of the wind and solar pumping operation to improve the utilization ratio of wind and solar energy, the maximum delivery capacity of the wind and solar pumping operation is obtained.
本文采取如下技术方案:This article adopts the following technical solutions:
一种柔性直流电网的能源外送能力评估方法,所述方法包括:A method for evaluating energy delivery capacity of a flexible DC power grid, the method includes:
将预先建立的交直流混合系统划分为供电区域和受电区域;Dividing a pre-established AC / DC hybrid system into a power supply area and a power reception area;
基于所述受电区域的消纳极限,定义所述供电区域的约束条件和目标函数,构建风光抽联合运行优化模型;所述风光抽联合运行优化模型包括所述供电区域的约束条件和目标函数,所述供电区域包括:通过柔性直流线路相互连接风电场、光伏电站和抽水蓄能电站;Based on the consumption limit of the power receiving area, the constraint conditions and objective function of the power supply area are defined, and an optimized model for combined operation of wind and light extraction is constructed; the optimized model for combined operation of wind and light extraction includes the constraint conditions and objective function of the supply area The power supply area includes: connecting a wind farm, a photovoltaic power station, and a pumped storage power station to each other through a flexible DC line;
采用内点法求解所述风光抽联合运行优化模型,获得所述供电区域的最大外送电量。An interior point method is used to solve the wind-solar pumping operation optimization model to obtain the maximum delivered power of the power supply area.
一种柔性直流电网的能源外送能力评估系统,包括:An energy delivery capability evaluation system for a flexible DC grid includes:
区域划分模块,配置为将预先建立的交直流混合系统划分为供电区域和受电区域;Area division module configured to divide a pre-established AC / DC hybrid system into a power supply area and a power reception area;
构建模块,配置为基于所述受电区域的消纳极限,定义所述供电区域的约束 条件和目标函数,构建包括所述供电区域的约束条件和目标函数的风光抽联合运行优化模型;所述供电区域包括:通过柔性直流线路相互连接风电场、光伏电站和抽水蓄能电站;A building module configured to define a constraint condition and an objective function of the power supply area based on the consumption limit of the power receiving area, and construct an optimization model for combined operation of scenery and light extraction including the constraint condition and the objective function of the power supply area; The power supply area includes: connecting wind farms, photovoltaic power stations and pumped storage power stations to each other through flexible DC lines;
分析模块,配置为采用内点法求解模型,获得供电区域最大外送电量。The analysis module is configured to solve the model using the interior point method to obtain the maximum delivered power in the power supply area.
一种电子设备,包括:An electronic device includes:
至少一个处理器;At least one processor;
存储器,设置为存储至少一个程序,Memory, configured to store at least one program,
当所述至少一个程序被所述至少一个处理器执行,使得所述至少一个处理器实现如前所述的方法。When the at least one program is executed by the at least one processor, the at least one processor implements the method as described above.
一种计算机可读存储介质,存储有计算机可执行指令,所述计算机可执行指令用于执行如前所述的方法。A computer-readable storage medium stores computer-executable instructions, where the computer-executable instructions are used to perform the method described above.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1是本发明实施例中提供的柔性直流电网的能源外送能力评估方法流程图;FIG. 1 is a flowchart of a method for evaluating an energy transmission capability of a flexible DC power grid according to an embodiment of the present invention; FIG.
图2是本发明实施例中提供的分段示意图;2 is a schematic diagram of segmentation provided in an embodiment of the present invention;
其中,图2(a)为抽水蓄能电站的工作状态示意图,图2(b)为分段后风光发满功率曲线图,图2(c)为联合供电系统日最大供电量小于外送功率情况示意图,图2(d)为联合供电系统日最大供电量大于外送功率情况示意图;Among them, Fig. 2 (a) is a schematic diagram of the working state of a pumped storage power station, Fig. 2 (b) is a graph showing the full power of the wind and wind after segmentation, and Fig. 2 (c) is the daily maximum power supply of the combined power supply system is less than the output power Schematic diagram, Figure 2 (d) is a schematic diagram of the situation where the maximum daily power supply of the combined power supply system is greater than the output power;
图3是本发明实施例中提供的消纳极限情况案例示意图;FIG. 3 is a schematic diagram of a case of consumption limit provided in an embodiment of the present invention; FIG.
其中,图3(a)为消纳曲线图,图3(b)为分段法跟踪消纳曲线示意图;Among them, FIG. 3 (a) is a diagram of the digestion curve, and FIG. 3 (b) is a schematic diagram of the tracking digestion curve by the segmentation method;
图4为本发明实施例提供的一种电子设备的结构示意图。FIG. 4 is a schematic structural diagram of an electronic device according to an embodiment of the present invention.
具体实施方式detailed description
下面结合说明书附图和实例对本文的内容做进一步的说明。The content of this article will be further described below in conjunction with the drawings and examples of the description.
为了克服相关技术对风电、光伏和抽水蓄能电站联合运行系统多考虑运行的经济性、立足规划设计,没有实时调度层面的输电能力计算方法,缺少经过柔性直流电网汇集供电能力计算方法,没有考虑抽水蓄能的日出日末库容约束、利用传统重复潮流法计算速度较慢等缺点。本文提出一种柔性直流电网的能源外送能力评估方法及系统,能够有效用于含风电、光伏、抽水蓄能电站的多端柔性直流电网汇集外送计算分析。通过对风电光伏进行24小时的分段建模,得到每个时段风光最大出力和的曲线。采用每日发电量最大为目标函数,同时考虑抽水蓄能的日出日末库容约束,建立抽水蓄能电站的数学模型,采用风光抽发电量为自变量,利用改进的连续潮流计算方法计算得到柔性直流电网最大汇集新能源外送能力分析结果,得到风光抽各自的出力功率和最大外送功率,便于后续调度员制定调度计划和实时决策。In order to overcome the related technologies, the combined operation system of wind power, photovoltaic and pumped storage power stations is more concerned with economic operation and based on planning and design. There is no real-time dispatch level calculation method for transmission capacity, and the lack of calculation methods for flexible power grid integrated power supply capacity calculation. The storage capacity constraints of pumped storage at the end of sunrise and the slow calculation speed using the traditional repeated power flow method. This paper proposes a method and system for evaluating the energy delivery capacity of a flexible DC power grid, which can be effectively used for multi-terminal flexible DC power grids with integrated wind power, photovoltaic, and pumped storage power stations. Through the 24-hour segmented modeling of wind power photovoltaics, the curve of maximum output sum of wind and light in each period is obtained. Using the maximum daily power generation as the objective function, and taking into account the storage capacity constraints at the end of sunrise of the pumped storage, a mathematical model of the pumped storage power station is established. The wind and solar power generation is used as the independent variable and calculated by the improved continuous power flow calculation method. The flexible DC power grid aggregates the analysis results of the new energy delivery capacity to obtain the output power and maximum delivery power of the wind and solar pumping, which is convenient for subsequent dispatchers to make scheduling plans and make real-time decisions.
如图1所示的一种柔性直流电网的能源外送能力评估方法,包括:A method for evaluating the energy delivery capacity of a flexible DC power grid as shown in FIG. 1 includes:
S1将预先建立的交直流混合系统划分为供电区域和受电区域;S1 divides a pre-established AC / DC hybrid system into a power supply area and a power reception area;
S2采用内点法求解风光抽联合运行优化模型,获得供电区域最大外送电量;其中,S2 uses the interior point method to solve the optimization model of combined operation of wind and solar pumping to obtain the maximum delivered power in the power supply area;
所述风光抽联合运行优化模型包括基于所述受电区域的消纳极限定义的供电区域的约束条件和目标函数。The optimization model for combined operation of wind and light pumping includes a constraint condition and an objective function of a power supply area defined based on the consumption limit of the power receiving area.
步骤S1中,将预先建立的交直流混合系统划分为供电区域和受电区域包括:In step S1, dividing the pre-established AC / DC hybrid system into a power supply area and a power reception area includes:
将风电场、光伏电站、抽水蓄能电站与柔性直流系统并网,构成交直流混合系统;Integrate wind farms, photovoltaic power plants, pumped storage power plants and flexible DC systems into a grid to form an AC / DC hybrid system;
所述交直流混合系统包括:联合供电系统和交直流系统;The AC / DC hybrid system includes: a combined power supply system and an AC / DC system;
将所述交直流系统定义为受电区域,将所述联合供电系统定义为供电区域;其中,所述联合供电系统包括:通过柔性直流线路相互连接风电场、光伏电站和抽水蓄能电站。The AC and DC system is defined as a power receiving area, and the combined power supply system is defined as a power supply area. The combined power supply system includes: a flexible DC line connecting a wind farm, a photovoltaic power station, and a pumped storage power station to each other.
步骤S2中的受电区域的消纳极限是预先以单日内多个时刻为单位分段建模,并通过潮流计算获得的多个时刻对应的受电区域的消纳极限,以绘制受电区域的消纳极限曲线。在此基础上,步骤S2基于受电区域的消纳极限,定义供电区域的约束条件和目标函数包括:以单日内联合供电系统最大外送电量为供电区域的目标函数,并基于供电区域的影响因素方程添加柔性直流系统不等式约束、抽水蓄能电站不等式约束、风电场与光伏电站实际出力不等式约束和联合供电系统外送功率不等式约束,作为供电区域的约束条件;The consumption limit of the power receiving area in step S2 is modeled in advance by segmenting multiple times in a single day in advance, and the power receiving area corresponding to multiple times obtained through power flow calculation is used to draw the consumption limit of the power receiving area. Nano limit curve. Based on this, step S2 defines the power supply area's constraints and objective function based on the power consumption area's consumption limit. The objective function of the power supply area is the maximum output of the combined power supply system in a single day, and based on the impact of the power supply area. Factor equations add inequality constraints for flexible DC systems, inequality constraints for pumped storage power stations, inequality constraints for actual output from wind farms and photovoltaic power plants, and inequality constraints for the output power of the combined power supply system as constraints for the power supply area;
其中,柔性直流系统不等式约束包括:直流节点电压约束、换流器交流侧电压约束、调制比约束、电压源换流器(Voltage Source Converter,VSC)热容量约束和直流线路最大允许电流约束;Among them, the inequality constraints of the flexible DC system include: DC node voltage constraints, inverter AC-side voltage constraints, modulation ratio constraints, voltage source converter (VSC) thermal capacity constraints, and DC line maximum allowable current constraints;
抽水蓄能电站不等式约束包括:上下库容约束、日出日末库容约束和抽水蓄能电站功率约束。The inequality constraints of pumped storage power stations include: upper and lower storage capacity constraints, storage capacity constraints at the end of sunrise, and power constraints of pumped storage power stations.
供电区域的影响因素方程包括:直流网络方程、VSC换流器(即:电压源换流器)方程和抽水蓄能电站库容变化量方程;其中,The influencing factor equations in the power supply area include: the DC network equation, the VSC converter (ie, voltage source converter) equation, and the storage capacity variation equation for pumped storage power stations;
所述直流网络方程如下式:The DC network equation is as follows:
Figure PCTCN2019100210-appb-000001
Figure PCTCN2019100210-appb-000001
式中,P dv、U dv分别为直流节点v的节点注入功率与节点电压,N d为直流节点集合,Y dvk为柔性直流网络节点导纳矩阵Y d的第v行、k列元素; In the formula, P dv and U dv are the node injection power and node voltage of the DC node v, N d is the set of DC nodes, and Y dvk is the v-th and k-th elements of the admittance matrix Y d of the flexible DC network node;
所述VSC换流器方程如下式:The VSC converter equation is as follows:
P c=P d P c = P d
Figure PCTCN2019100210-appb-000002
Figure PCTCN2019100210-appb-000002
Figure PCTCN2019100210-appb-000003
Figure PCTCN2019100210-appb-000003
Figure PCTCN2019100210-appb-000004
Figure PCTCN2019100210-appb-000004
Figure PCTCN2019100210-appb-000005
Figure PCTCN2019100210-appb-000005
式中,R表示相电阻,X表示相电感,U s为VSC换流器交流侧电压幅值,U c为阀侧电压幅值,δ sc为阀侧电压与VSC换流器交流侧电压的角度差,P s为VSC换流器交流侧注入有功功率,Q s为VSC换流器交流侧注入无功功率,P c为VSC换流器阀侧流出有功功率,P d为VSC换流器注入直流线路的有功功率;I s为交流系统流入VSC换流变压器(即:VSC换流变)的电流,U d为VSC换流器直流侧单极电压,M为调制度,μ为直流电压利用率;所述VSC换流变压器为所述VSC换流器的变压器。 In the formula, R is the phase resistance, X is the phase inductance, U s is the voltage amplitude of the AC side of the VSC converter, U c is the voltage amplitude of the valve side, and δ sc is the voltage between the valve side voltage and the AC side voltage of the VSC converter. Angle difference, P s is the active power injected into the AC side of the VSC converter, Q s is the active power injected into the AC side of the VSC converter, P c is the active power output from the valve side of the VSC converter, and P d is the VSC converter Active power injected into the DC line; I s is the current flowing from the AC system into the VSC converter transformer (ie, VSC converter transformer), U d is the unipolar voltage on the DC side of the VSC converter, M is the modulation degree, and μ is the DC voltage Utilization rate; the VSC converter transformer is a transformer of the VSC converter.
所述抽水蓄能电站库容变化量方程包括:The storage capacity change equation of the pumped storage power station includes:
抽水蓄能电站发电时的上、下水库库容变化方程:Variation equation of the storage capacity of the upper and lower reservoirs when the pumped storage power station is generating power:
Figure PCTCN2019100210-appb-000006
Figure PCTCN2019100210-appb-000006
抽水蓄能电站抽水时的上、下水库库容变化方程:The equation of storage capacity change of the upper and lower reservoirs when pumped by a pumped storage power station:
Figure PCTCN2019100210-appb-000007
Figure PCTCN2019100210-appb-000007
式中,上角标t表示时刻,V u为上水库库容,V d为下水库库容,P h为抽水蓄能电站发出的有功功率,η 1、η 2分别为抽水蓄能电站的发电功率、抽水功率与库容之间的折算系数。 Wherein the superscript t represents time, V u of the reservoir capacity, V d of the reservoir capacity, active power P h as given pumped storage power station, η 1, η 2 respectively generated power of the pumped storage power station Conversion factor between pumping power and storage capacity.
其中,通过下式确定供电区域的目标函数:Among them, the objective function of the power supply area is determined by the following formula:
Figure PCTCN2019100210-appb-000008
Figure PCTCN2019100210-appb-000008
式中,
Figure PCTCN2019100210-appb-000009
为t时刻下节点i、j之间传输的有功功率,A为供电区域,B为受电区域;N为一天中采样点的个数,Δt为采样时间间隔,f为所述供电区域的最大外送电量。
Where
Figure PCTCN2019100210-appb-000009
Is the active power transmitted between nodes i and j at time t, A is the power supply area, B is the power reception area; N is the number of sampling points in a day, Δt is the sampling time interval, and f is the maximum of the power supply area. Delivery power.
通过下式确定所述柔性直流系统不等式约束:The inequality constraint of the flexible DC system is determined by the following formula:
Figure PCTCN2019100210-appb-000010
Figure PCTCN2019100210-appb-000010
式中,U kd为第d个直流节点电压,k为直流节点个数,
Figure PCTCN2019100210-appb-000011
Figure PCTCN2019100210-appb-000012
分别为第d个直流节点电压上、下限,
Figure PCTCN2019100210-appb-000013
Figure PCTCN2019100210-appb-000014
分别为第c个VSC换流器的交流侧电压上、下限,U nc、M n、I nc分别为第c个VSC换流器的交流侧电压、调制比和热容量,
Figure PCTCN2019100210-appb-000015
Figure PCTCN2019100210-appb-000016
分别第c个VSC换流器的调制比最大、最小值和热容量上限,n为VSC换流器合集,I kv为第v条柔性直流线路最大允许电流,
Figure PCTCN2019100210-appb-000017
为第v条柔性直流线路的额定电流,z为柔性直流线路条数。
Where U kd is the d-th DC node voltage, and k is the number of DC nodes.
Figure PCTCN2019100210-appb-000011
with
Figure PCTCN2019100210-appb-000012
The upper and lower limits of the d-th DC node voltage,
Figure PCTCN2019100210-appb-000013
with
Figure PCTCN2019100210-appb-000014
The upper and lower limits of the AC-side voltage of the c-th VSC converter, respectively. U nc , M n , and I nc are the AC-side voltage, modulation ratio, and thermal capacity of the c-th VSC converter.
Figure PCTCN2019100210-appb-000015
with
Figure PCTCN2019100210-appb-000016
Modulation ratio maximum, minimum and thermal capacity upper limit of the c-th VSC converter, n is the collection of VSC converters, I kv is the maximum allowable current of the v-th flexible DC line,
Figure PCTCN2019100210-appb-000017
Is the rated current of the vth flexible DC line, and z is the number of flexible DC lines.
通过下式确定上下库容约束:Determine the upper and lower storage capacity constraints by:
Figure PCTCN2019100210-appb-000018
Figure PCTCN2019100210-appb-000018
通过下式确定日出日末库容约束:Determine the storage capacity constraint at the end of the sunrise by the following formula:
Figure PCTCN2019100210-appb-000019
Figure PCTCN2019100210-appb-000019
通过下式确定功率约束:Determine the power constraint by:
Figure PCTCN2019100210-appb-000020
Figure PCTCN2019100210-appb-000020
式中,P h为抽水蓄能电站发出的有功功率,V t u和V t d分别为t时刻上水库库容和下水库库容,
Figure PCTCN2019100210-appb-000021
Figure PCTCN2019100210-appb-000022
分别为上水库的最大、最小库容,
Figure PCTCN2019100210-appb-000023
Figure PCTCN2019100210-appb-000024
分别为下水库的最大、最小库容,
Figure PCTCN2019100210-appb-000025
Figure PCTCN2019100210-appb-000026
分别为日初、日末上水库库容;
Figure PCTCN2019100210-appb-000027
Figure PCTCN2019100210-appb-000028
分别为日初、日末下水库库容,μ为1天内允许的最大库容变动系数;P omax和P omin分别为抽水蓄能电站的最大、最小发电出力;P imax和P imin分别为抽水蓄能电站的最大、最小抽水出力。
In the formula, P h is the active power from the pumped storage power station, and V t u and V t d are the storage capacity of the upper reservoir and the storage capacity of the lower reservoir at time t , respectively.
Figure PCTCN2019100210-appb-000021
with
Figure PCTCN2019100210-appb-000022
Are the maximum and minimum storage capacity of the upper reservoir,
Figure PCTCN2019100210-appb-000023
with
Figure PCTCN2019100210-appb-000024
The maximum and minimum storage capacity of the lower reservoir, respectively
Figure PCTCN2019100210-appb-000025
with
Figure PCTCN2019100210-appb-000026
The storage capacity of the upper reservoir at the beginning of the day and the end of the day;
Figure PCTCN2019100210-appb-000027
with
Figure PCTCN2019100210-appb-000028
P omax and P omin are pumped storage power station of the maximum and minimum power output;; P imax and P imin pumped storage are first day, the last day the reservoir capacity, [mu] is the coefficient of variation of the maximum capacity were allowed 1 day Maximum and minimum pumping output of the power station.
通过下式确定风电场与光伏电站实际出力不等式约束:Determine the actual output inequality constraints of the wind farm and photovoltaic power plant by the following formula:
0≤P f≤P′ f 0≤P f ≤P ′ f
0≤P g≤P′ g 0≤P g ≤P ′ g
式中,P f和P g分别风电场与光伏电站的实际出力,P′ f和P′ g分别风电场与光伏电站的最大出力。 In the formula, P f and P g are the actual output of the wind farm and the photovoltaic power plant, respectively, and P ′ f and P ′ g are the maximum output of the wind farm and the photovoltaic power plant, respectively.
通过下式确定联合供电系统外送功率不等式约束:Determine the inequality constraint of the output power of the joint power supply system by the following formula:
Figure PCTCN2019100210-appb-000029
Figure PCTCN2019100210-appb-000029
式中,
Figure PCTCN2019100210-appb-000030
为t时刻联合供电系统的外送功率,
Figure PCTCN2019100210-appb-000031
为t时刻受电区域消纳极限。
Where
Figure PCTCN2019100210-appb-000030
The output power of the joint power supply system at time t,
Figure PCTCN2019100210-appb-000031
It is the limit of the power receiving area at time t.
步骤S2,采用内点法求解模型,获得供电区域最大外送电量包括:Step S2, using the interior point method to solve the model, and obtaining the maximum delivered power in the power supply area includes:
a)获取典型日各个采样点对应的风电场与光伏电站的最大出力之和;a) Obtain the sum of the maximum output of the wind farm and the photovoltaic power plant corresponding to each sampling point on a typical day;
b)计算所述风电场与光伏电站的最大出力之和与受电区域的消纳极限的差值;b) calculating the difference between the sum of the maximum output of the wind farm and the photovoltaic power station and the dissipation limit of the power receiving area;
c)若当前采样点对应的差值与下一时刻采样点对应的差值均大于0或者均小于0,则将两个采样点归为同一时间段;c) If the difference corresponding to the current sampling point and the difference corresponding to the sampling point at the next moment are both greater than 0 or less than 0, the two sampling points are classified into the same time period;
d)依据所述时间段,对风光抽联合运行优化模型进行等效变换。d) According to the time period, the equivalent transformation of the optimization model for combined operation of wind and light extraction is performed.
上述步骤b)中,通过下式确定所述风电场与光伏电站的最大出力之和与受电区域的消纳极限的差值:In step b) above, the difference between the sum of the maximum output of the wind farm and the photovoltaic power station and the dissipation limit of the power receiving area is determined by the following formula:
Figure PCTCN2019100210-appb-000032
Figure PCTCN2019100210-appb-000032
式中,N t为典型日采样点总个数,
Figure PCTCN2019100210-appb-000033
为t时刻受电区域的消纳极限,
Figure PCTCN2019100210-appb-000034
表示t时刻风电场的最大出力变量,
Figure PCTCN2019100210-appb-000035
表示t时刻光伏电站的最大出力变量,
Figure PCTCN2019100210-appb-000036
为所述风电场与所述光伏电站的最大出力之和与所述受电区域的消纳极限的差值。
Where N t is the total number of typical daily sampling points,
Figure PCTCN2019100210-appb-000033
Is the dissipation limit of the power receiving area at time t,
Figure PCTCN2019100210-appb-000034
Represents the maximum output variable of the wind farm at time t,
Figure PCTCN2019100210-appb-000035
Represents the maximum output variable of the photovoltaic power plant at time t,
Figure PCTCN2019100210-appb-000036
Is the difference between the sum of the maximum output of the wind farm and the photovoltaic power station and the dissipation limit of the power receiving area.
步骤d)中,依据所述时间段,对风光抽联合运行优化模型进行等效变换包括:In step d), equivalently transforming the optimization model of the combined operation of scenery and light extraction according to the time period includes:
更新所述风光抽联合运行优化模型中风电场与光伏电站的最大出力;Update the maximum output of the wind farm and the photovoltaic power plant in the wind-solar pumping combined operation optimization model;
获取基于单日内各时刻的受电区域的消纳极限绘制的受电区域的消纳极限曲线;根据所述时间段将所述受电区域的消纳极限曲线转化为阶梯形曲线;Obtaining the consumption limit curve of the power receiving area drawn based on the consumption limit of the power receiving area at each moment in a single day; converting the consumption limit curve of the power receiving area into a stepped curve according to the time period;
更新风光抽联合运行优化模型和抽水蓄能电站不等式约束;Update the optimization model of wind-solar pumping combined operation and inequality constraints of pumped storage power stations;
采用内点法求解更新后的风光抽联合运行优化模型,获得供电区域最大外送电量。The interior point method is used to solve the updated combined optimization model of wind and solar pumping operation to obtain the maximum delivered power in the power supply area.
其中,通过下式更新所述风光抽联合运行优化模型中风电场与光伏电站的最大出力:Among them, the maximum output of the wind farm and the photovoltaic power plant in the wind-solar pumping combined operation optimization model is updated by the following formula:
Figure PCTCN2019100210-appb-000037
Figure PCTCN2019100210-appb-000037
式中,P″ f、P″ g分别为单位时间段内,风电场与光伏电站的最大出力平均值;T m为第m段的时长;N Tm为第m时段中包含的采样点个数。 In the formula, P ″ f and P ″ g are the average values of the maximum output of the wind farm and the photovoltaic power plant in a unit time period, respectively; T m is the length of the m-th period; N Tm is the number of sampling points included in the m-th period .
通过下式将所述受电区域的消纳极限曲线转化为阶梯形曲线:The consumption limit curve of the power receiving area is transformed into a stepped curve by the following formula:
Figure PCTCN2019100210-appb-000038
Figure PCTCN2019100210-appb-000038
式中,a、b为采样点编号,m为分段后的时段编号。In the formula, a and b are sampling point numbers, and m is a period number after segmentation.
通过下式更新风光抽联合运行优化模型:Update the optimization model of combined operation of scenery and pumping by the following formula:
Figure PCTCN2019100210-appb-000039
Figure PCTCN2019100210-appb-000039
式中,
Figure PCTCN2019100210-appb-000040
为m时段节点i、j之间传输的有功功率,A表示供电区域,B表示受电区域,N T为m时段的采样点个数。
Where
Figure PCTCN2019100210-appb-000040
M periods between active power transfer node i, j's, A represents the power supply region, B represents a power receiving region, N T is the number of sampling points m period.
通过下式更新抽水蓄能电站不等式约束:Update the inequality constraints of pumped storage power stations by:
Figure PCTCN2019100210-appb-000041
Figure PCTCN2019100210-appb-000041
式中,P' h为抽水蓄能电站发出的有功功率,P s为供电区域的最大外送电量。 In the formula, P ' h is the active power from the pumped storage power station, and P s is the maximum delivered power in the power supply area.
实施例:Example:
对于风光抽联合运行系统,若仅计算一个时间点的断面传输功率极限,只需令抽水蓄能电站在在各种安全约束下尽可能多发电(或少抽水)即可。这样无法体现出抽蓄在时间概念上消峰填谷的作用,也无法全面反映抽蓄工作特性以及它对库容的要求。对于两区域互联系统,供、受电区域间截面上的最大输电功率,应等于供电区域最大供电功率与受电区域最大消纳功率中的较小值。即有式(1):For the wind-solar pumping combined operation system, if only the cross-section transmission power limit of one time point is calculated, it is only necessary to make the pumped storage power station generate as much power (or less pump) as possible under various safety constraints. This cannot reflect the role of pumping in the concept of time to eliminate peaks and fill valleys, nor can it fully reflect the working characteristics of pumping and its requirements for storage capacity. For a two-area interconnected system, the maximum transmission power on the cross-section between the supply and reception areas should be the smaller of the maximum supply power in the supply area and the maximum dissipation power in the reception area. That is, formula (1):
P TTC=min(P Smax,P Rmax)(1) P TTC = min (P Smax , P Rmax ) (1)
式中:P Smax为供电区域外送极限,P Rmax为受电区域消纳极限。 In the formula: P Smax is the delivery limit of the power supply area, and P Rmax is the absorption limit of the power reception area.
基于以上思路,针对风光抽经柔直系统并网的交直流混合系统,提出风光抽联合运行系统最大供电能力计算方法。具体步骤如下。Based on the above ideas, a method for calculating the maximum power supply capacity of a wind-solar pumping combined operation system is proposed for an AC / DC hybrid system where the wind-solar pumping system is connected to the grid. Specific steps are as follows.
1:对混合系统进行分区。将风电、光伏、抽水蓄能电站与柔直电网构成的联合供电系统划分为供电区域,其余部分划分为受电区域。1: Partition the hybrid system. The combined power supply system consisting of wind power, photovoltaics, pumped storage power stations and flexible grids is divided into power supply areas, and the rest are divided into power receiving areas.
2:计算受电区域最大消纳极限。在受电区的负荷分布及其变化曲线已知情 况下,将混合系统中的供电区简化为一个无限大电源,针对变换后的系统建立受电区域消纳极限的数学模型,得到受电区各个时刻的消纳极限。2: Calculate the maximum dissipation limit of the power receiving area. With the load distribution of the power receiving area and its changing curve known, the power supply area in the hybrid system is reduced to an infinite power source. A mathematical model of the power receiving area's absorption limit is established for the transformed system to obtain the power receiving area. Digestion limit at each moment.
3:计算供电区域最大外送电量。综合考虑受电区域消纳极限、风光出力曲线、抽水蓄能库容、VSC约束等因素,以外送电量最大为目标建立优化调度模型,并用内点法求解模型,进而得到一段时间(1天)内风光抽经柔直系统并网的混合系统最大输电量,以及相应调度方案。3: Calculate the maximum outgoing power in the power supply area. Comprehensively consider factors such as the consumption limit of the power receiving area, the wind and power output curve, the pumped storage capacity, and the VSC constraint, and set up an optimal dispatching model with the maximum external power transmission as the goal, and use the interior point method to solve the model to obtain a period of time (1 day). The maximum power output of the hybrid system where the scenery is pumped through the grid system and the corresponding scheduling scheme.
风光抽联合运行优化模型Optimized model for combined operation of scenery and pumping
目标函数:利用抽水蓄能电站削峰填谷的功能,可以实现风光能量的时空转移。因此,在研究风光抽联合运行系统的输电能力时应引入时间段的概念。根据预测所得风光发电功率,为充分利用风、光、蓄(抽水蓄能电站)发电基地的电能能量、突显抽蓄功效输送到远处的负荷中心,以一段时间(1天)内联合供电系统的外送电量最大为目标函数,即式(2)所示:Objective function: Using the function of peak storage and valley filling in pumped storage power stations, the spatiotemporal transfer of wind and solar energy can be realized. Therefore, the time period concept should be introduced when studying the transmission capacity of the wind-solar pumping combined operation system. According to the predicted wind-solar power generation, in order to make full use of the wind, light, and storage (pumped-storage power station) power generation base's electrical energy, highlight the pumping effect and transfer it to a distant load center, and combine the power supply system within a period of time (one day) The maximum delivered power is the objective function, which is shown in equation (2):
Figure PCTCN2019100210-appb-000042
Figure PCTCN2019100210-appb-000042
式中:
Figure PCTCN2019100210-appb-000043
为t时刻下节点i、j之间传输的有功功率;A为供电区,即风光抽联合供电系统;B表示受电区域;N为一天中采样点的个数;Δt为采样时间间隔。
In the formula:
Figure PCTCN2019100210-appb-000043
Is the active power transmitted between nodes i and j at time t; A is the power supply area, that is, the wind and solar power supply system; B is the power receiving area; N is the number of sampling points in a day;
抽水蓄能电站抽水与发电之间存在损耗,抽水越多损失的风光能量与外送电量越多。因此,以联合系统供电量最大为目标函数,其物理含义中便包含两点要求:1、少弃风、少弃光;2、抽水蓄能电站少抽水。且目标函数将全天每个小时的风光抽出力综合到一次优化中,时时考虑库容约束。There is a loss between pumped storage and power generation in a pumped storage power station. The more pumped water loses the more wind and solar energy and the more power it delivers. Therefore, taking the maximum power supply of the joint system as the objective function, its physical meaning contains two requirements: 1. Less wind and light; 2. Pumped storage power station requires less water. And the objective function integrates the scenery extraction power of every hour throughout the day into an optimization, always taking into account the storage capacity constraints.
综上,采用目标函数可弥补传统优化模型的上述缺陷,在风光资源不足的情况下,可避免为满足库容要求在日末大量抽水,进而获得更多的外送电量,同时使联合系统的外送功率曲线更加平稳。In summary, the use of the objective function can make up for the above-mentioned shortcomings of the traditional optimization model. In the case of insufficient scenery resources, it can avoid pumping a large amount of water at the end of the day to meet the storage capacity requirements, and thus obtain more outbound power. The transmission power curve is more stable.
等式约束Equality constraint
针对风光抽经由柔性直流系统并网的交直流混合系统进行研究,对该系统的 供电区域(风电-光伏-抽水蓄能通过柔直线路相互连接形成的联合供电系统)建立优化模型,等式约束包括以下三个方面。A hybrid AC / DC system with grid-connected wind and solar power through a flexible DC system is researched, and an optimized model is established for the power supply area of the system (wind power-photovoltaic-pumped energy storage through a flexible line connected to each other). Including the following three aspects.
(1)直流网络方程如式(3)所示:(1) The DC network equation is shown in equation (3):
Figure PCTCN2019100210-appb-000044
Figure PCTCN2019100210-appb-000044
式中:P dv、U dv分别为直流节点v的节点注入功率与节点电压,N d为直流节点集合,Y dvk为直流子网络节点导纳矩阵Y d的第v行、k列元素。 In the formula: P dv and U dv are the node injection power and node voltage of the DC node v, N d is the set of DC nodes, and Y dvk is the v-th row and k-th column elements of the admittance matrix Y d of the DC sub-network node.
(2)VSC换流器方程为式(4)~(7)所示:(2) The equation of the VSC converter is shown in equations (4) to (7):
P c=P d(4) P c = P d (4)
Figure PCTCN2019100210-appb-000045
Figure PCTCN2019100210-appb-000045
Figure PCTCN2019100210-appb-000046
Figure PCTCN2019100210-appb-000046
Figure PCTCN2019100210-appb-000047
Figure PCTCN2019100210-appb-000047
(3)抽水蓄能电站库容变化量方程(3) Change equation of storage capacity of pumped storage power station
抽水蓄能电站发电时,上、下水库库容变化满足式(8):When the pumped storage power station generates electricity, the storage capacity change of the upper and lower reservoirs satisfies Equation (8):
Figure PCTCN2019100210-appb-000048
Figure PCTCN2019100210-appb-000048
抽水蓄能电站抽水时,上、下水库库容变化满足式(9):When the pumped storage power station is pumping, the storage capacity change of the upper and lower reservoirs satisfies Equation (9):
Figure PCTCN2019100210-appb-000049
Figure PCTCN2019100210-appb-000049
式中:t表示t时刻,V u为上水库库容;V d为下水库库容;P h为抽水蓄能电站发出的有功功率;η 1、η 2分别为抽水蓄能电站的发电功率、抽水功率与库容之间的折算系数,且η 12=0.75。 In the formula: t represents the time t, V u is the storage capacity of the upper reservoir; V d is the storage capacity of the lower reservoir; Ph is the active power from the pumped storage power station; η 1 and η 2 are the power generation and pumping power of the pumped storage power station, respectively. Conversion factor between power and storage capacity, and η 1 / η 2 = 0.75.
不等式约束Inequality constraint
柔直系统不等式约束包括:直流节点电压约束、换流器交流侧电压约束、调制比约束、VSC热容量约束和直流线路最大允许电流约束,即式(10)所示:The inequality constraints of the flexible system include: DC node voltage constraints, converter AC side voltage constraints, modulation ratio constraints, VSC thermal capacity constraints, and DC line maximum allowable current constraints, as shown in equation (10):
Figure PCTCN2019100210-appb-000050
Figure PCTCN2019100210-appb-000050
式中:下标“n”为VSC编号,NC为系统中所有VSC的集合。In the formula: The subscript "n" is the VSC number, and NC is the set of all VSCs in the system.
抽水蓄能电站不等式约束采用2.3节抽水蓄能发电数学模型:上下库容约束(公式11)、日出日末库容约束式(12)与功率约束式(13)。The pumped storage power station inequality constraint adopts the 2.3 section pumped storage power generation mathematical model: upper and lower storage capacity constraints (formula 11), storage capacity constraints (12) and power constraints (13) at the end of sunrise.
Figure PCTCN2019100210-appb-000051
Figure PCTCN2019100210-appb-000051
式中:
Figure PCTCN2019100210-appb-000052
Figure PCTCN2019100210-appb-000053
分别为上水库的最大、最小库容;
Figure PCTCN2019100210-appb-000054
Figure PCTCN2019100210-appb-000055
分别为下水库的最大、最小库容。
In the formula:
Figure PCTCN2019100210-appb-000052
with
Figure PCTCN2019100210-appb-000053
The maximum and minimum storage capacity of the upper reservoir respectively;
Figure PCTCN2019100210-appb-000054
with
Figure PCTCN2019100210-appb-000055
The maximum and minimum storage capacities of Xia Reservoir, respectively.
Figure PCTCN2019100210-appb-000056
Figure PCTCN2019100210-appb-000056
式中:
Figure PCTCN2019100210-appb-000057
Figure PCTCN2019100210-appb-000058
分别为日初、日末上水库库容;
Figure PCTCN2019100210-appb-000059
Figure PCTCN2019100210-appb-000060
分别为日初、日末下水库库容;μ为1天内允许的最大库容变动系数,本文取0.05。
In the formula:
Figure PCTCN2019100210-appb-000057
with
Figure PCTCN2019100210-appb-000058
The storage capacity of the upper reservoir at the beginning of the day and the end of the day;
Figure PCTCN2019100210-appb-000059
with
Figure PCTCN2019100210-appb-000060
The storage capacity of Xia Reservoir at the beginning of the day and the end of the day, respectively; μ is the maximum variation coefficient of storage capacity allowed in one day, and this article takes 0.05.
Figure PCTCN2019100210-appb-000061
Figure PCTCN2019100210-appb-000061
式中:P omax和P omin分别为抽蓄发电时最大最小出力;P imax和P imin分别为抽蓄抽水时最大最小出力。 In the formula: P omax and Pomin are the maximum and minimum output when pumping and generating, respectively; P imax and P imin are the maximum and minimum output when pumping and pumping respectively.
风电、光伏实际出力不等式约束如下式(14)所示:The constraints of the actual inequality of wind power and photovoltaic output are shown in the following formula (14):
Figure PCTCN2019100210-appb-000062
Figure PCTCN2019100210-appb-000062
式中:P′ f和P′ g分别表示不弃风不弃光情况下的风电场与光伏电站满发出力值,该出力值分别由风电场和光伏电站出力分析得到。 In the formula: P ′ f and P ′ g respectively indicate the full power output of the wind farm and photovoltaic power station under the condition of not giving up wind and light, and the output values are obtained from the wind farm and photovoltaic power plant power analysis respectively.
联合系统外送功率约束为式(15):The output power constraint of the joint system is given by (15):
Figure PCTCN2019100210-appb-000063
Figure PCTCN2019100210-appb-000063
式中:
Figure PCTCN2019100210-appb-000064
为t时刻风光抽联合运行系统的外送功率,
Figure PCTCN2019100210-appb-000065
为t时刻受电区域消纳极限,该消纳极限由受电区域新能源消纳极限的计算方法计算得到。
In the formula:
Figure PCTCN2019100210-appb-000064
The output power of the wind-solar pumping combined operation system at time t,
Figure PCTCN2019100210-appb-000065
Is the consumption limit of the power receiving area at time t, which is calculated by the calculation method of the new energy consumption limit of the power receiving area.
分段法求解模型Piecewise method
若以风光抽发电系统日输电量最大为目标函数,一天中各个时段的风、光与抽水蓄能发电功率作为自变量,那么该问题是一个动态优化问题。在一天中若采样间隔为1个小时,则整个动态优化中要求取3×24=72组变量,优化变量数目众多,寻优求解速度缓慢。因此采用分段的方法减少优化变量数目,进而缩短模型求解时间。If the maximum daily power output of the wind-solar pumping system is the objective function, and the wind, light, and pumped storage power generation powers as independent variables at each time of day, then this problem is a dynamic optimization problem. If the sampling interval is one hour in a day, 3 × 24 = 72 sets of variables are required in the entire dynamic optimization. The number of optimization variables is large, and the speed of optimization is slow. Therefore, the segmentation method is adopted to reduce the number of optimization variables, thereby shortening the model solving time.
分段法的具体模型及详细步骤如下:The specific model and detailed steps of the segmentation method are as follows:
1)对典型日的时间分段1) Time segmentation of typical days
为了获得联合系统最大的供电量,希望抽水蓄能电站在风光满发功率之和(P′ f±P′ g)大于受电区域消纳极限(P r)时能尽量多抽水,反之则少抽水多出力,因此可以通过(P′ f±P′ g)与P r的大小关系(如图2(a)所示)大致划分抽水蓄能电站的工作状态,并以此为依据对典型日的时间(图2横轴)进行分段。分段的具体方法如下: In order to obtain the maximum power supply of the combined system, it is hoped that the pumped-storage power station will pump as much as possible when the sum of full wind and solar power (P ′ f ± P ′ g ) is greater than the absorption limit (P r ) of the power receiving area, and vice versa. Pumping produces more power, so the working state of a pumped storage power station can be roughly divided by the relationship between (P ′ f ± P ′ g ) and Pr (as shown in Figure 2 (a)), and based on this, the typical daily Time (horizontal axis in Figure 2). The specific method of segmentation is as follows:
计算典型日各个采样点对应的风光满发之和与受电区域消纳极限的差值ΔPc,为式(16)所示。Calculate the difference ΔPc between the sum of full wind and light corresponding to each sampling point on a typical day and the dissipation limit of the power receiving area, as shown in formula (16).
Figure PCTCN2019100210-appb-000066
Figure PCTCN2019100210-appb-000066
式中:上标t为采样点编号,N t为典型日采样点总个数。 In the formula: superscript t is the number of sampling points, and N t is the total number of typical daily sampling points.
从一天中第一个采样点(t=1)开始,依次判断
Figure PCTCN2019100210-appb-000067
Figure PCTCN2019100210-appb-000068
是否均大于0(或均小于0),若两者同号便将这两个采样点归入同一时段,若不同号便从靠后的一采样点开始进入下一时段,随后令t=t+1,以此类推。采用此方法,可在图2(a)两线L1和L2,L1表示风光最大出力,即风光满发功率,L2表示受电区域消纳极限。交点处对该典型日的时间分段,分段后得到图2(b)所示ab、bc、cd三个时段。
Starting from the first sampling point (t = 1) of the day, judge in order
Figure PCTCN2019100210-appb-000067
versus
Figure PCTCN2019100210-appb-000068
Whether they are both greater than 0 (or less than 0). If the two numbers are the same, the two sampling points are classified into the same period. If the numbers are different, the next sampling period is started from the later sampling point and then t = t is set. +1, and so on. With this method, the two lines L1 and L2 in Figure 2 (a) can be used, where L1 represents the maximum output of the wind and scenery, that is, the full power of the scenery, and L2 represents the absorption limit of the power receiving area. The intersection is time-segmented for this typical day. After segmentation, three periods of ab, bc, and cd are obtained as shown in FIG. 2 (b).
2)模型变换与自变量个数的缩减2) Model transformation and reduction of the number of independent variables
因为优化模型中的对象目标函数是供电量,所以这里以一段时间内变换前与变换后的风光满发电量相等为原则,对风光满发功率曲线进行等效变换,使得变换后的风光满发功率在一段内为一个保持不变的常量。图2(b)中的阶梯型虚线为等效后的风光满发功率曲线,以cd时段为例,等效后线段ab与横轴cd所围成的矩形面积应与阴影区域面积相等。Because the objective function in the optimization model is the amount of power supply, here the principle is to convert the full power of the wind and light equivalently before and after conversion for a period of time. The power is a constant constant over a period of time. The stepped dashed line in FIG. 2 (b) is the equivalent full-scenery power curve. Taking the cd period as an example, the rectangular area enclosed by the equivalent line segment ab and the horizontal axis cd should be equal to the area of the shaded area.
相应的,需要重新设置原优化模型中的风、光出力上限,将公式(14)中的风电、光伏满发功率P′ f和P′ g分别替换为一段中风电、光伏满发值的平均值P″ f、P″ g,即式(17): Correspondingly, it is necessary to reset the upper limit of wind and light output in the original optimization model, and replace the wind power and photovoltaic full power P ′ f and P ′ g in formula (14) with the average of a period of wind power and photovoltaic full power values, respectively. The values P ″ f and P ″ g are as follows:
Figure PCTCN2019100210-appb-000069
Figure PCTCN2019100210-appb-000069
式中:T m为第m段的时长;N Tm为第m段中包含的采样点集合。 In the formula: T m is the duration of the m-th segment; N Tm is the set of sampling points contained in the m-th segment.
同时,将受电区域消纳极限曲线也变为阶梯型折线,段内的消纳极限保持不变,其数值取为该段中消纳极限的最小值,如图2(b)中粗虚线所示。变更公式(15)为(18)。At the same time, the dissipation limit curve of the power receiving area is also changed into a stepped polyline, and the dissipation limit in the segment remains unchanged. Its value is taken as the minimum value of the dissipation limit in the segment, as shown by the thick dashed line in Figure 2 (b). As shown. Change formula (15) to (18).
Figure PCTCN2019100210-appb-000070
式中:a、b为采样点编号;m为分 段后的时段编号。
Figure PCTCN2019100210-appb-000070
In the formula: a and b are the sampling point numbers; m is the period number after segmentation.
经过以上两种等效处理变换,可以认为分段后的每个时段一段内风电、光伏、抽蓄出力均保持不变,那么一段中设置一套风光抽出力变量即可。也就是说,分段后整个优化模型中需求解的优化变量数目将缩减为:“3×时段数”组。相应变更目标函数公式(2)为公式(19)。After the above two equivalent processing transformations, it can be considered that the wind power, photovoltaic, and pumped output power remain unchanged for each period after the segmentation, and then a set of wind and solar output force variables can be set in one segment. In other words, the number of optimization variables of the demand solution in the entire optimization model after the segmentation will be reduced to: "3 x number of periods" group. Correspondingly change the objective function formula (2) to formula (19).
Figure PCTCN2019100210-appb-000071
Figure PCTCN2019100210-appb-000071
为保证分段后计算的最大供电量的可靠性,需要对实际的抽蓄出力进行正确约束。然而,受以上模型变换的影响,自变量中的抽蓄出力P h已偏离实际值。因此,这里在忽略网损的前提下,以尽可能多的使用风光能量为原则,推导出实际抽蓄应发功率P′ h替换原抽蓄功率约束公式(11)、(12)、(13)中的P h,如式(20)所示 In order to ensure the reliability of the calculated maximum power supply after segmentation, it is necessary to properly restrict the actual pumped output. However, by the above transformation model, cramps output from the variable P h has deviated from the actual value. Therefore, on the premise of ignoring the network loss, based on the principle of using as much wind and solar energy as possible, the actual pumped power P ′ h should be derived to replace the original pumped power constraint formulas (11), (12), (13 P h in) , as shown in formula (20)
Figure PCTCN2019100210-appb-000072
Figure PCTCN2019100210-appb-000072
式中:P s为风光抽联合系统外送总功率。该公式可作为3)反推风光抽实际调度方案的依据。 In the formula: P s is the total output power of the wind-solar pumping combined system. This formula can be used as the basis for 3) back-pushing the actual scheduling scheme of wind and light pumping.
采用内点法求解以上变换后的优化模型,得到风光抽联合系统日最大供电量,以及相应的外送功率曲线;如图2(c)所示,其中曲线L3为联合系统外送功率曲线,细虚线表示等效风光发满功率之和,粗虚线代表变换后的消纳极限。Using the interior point method to solve the optimized model after the above transformation, the daily maximum power supply of the wind-solar pumping system and the corresponding output power curve are obtained; as shown in Figure 2 (c), where the curve L3 is the output power curve of the joint system. The thin dashed line represents the sum of the full power of the equivalent wind and light, and the thick dashed line represents the dissipation limit after the transformation.
3)反推风光抽实际出力3) Reverse the scenery to extract the actual output
根据优化求解后得到的联合系统外送功率,反推风、光、抽出力(忽略了网损),给出实际的调度方案(如图2(cd)所示)。According to the output power of the joint system obtained after the optimization, the wind, light, and extraction force are reversed (the network loss is ignored), and the actual scheduling scheme is given (as shown in Figure 2 (cd)).
当风光满发功率小于外送功率时(如图2(cd)中ae、cd两段),令风光满发;当满发功率大于外送功率时(如图2(cd)中eb和bc段),需判断它们的差值是否超过了抽水蓄能电站允许的最大功率,未超过则令风电、光伏满发,超过只得弃风、弃光。综上,图2所示典型日中风电、光伏应沿圆点所在曲线L2出力,该曲线与外送功率曲线L3的差值为抽水蓄能电站实际应发功率,由图2(cd)中阴影部分表示。When the full wind power is less than the outgoing power (as shown by ae and cd in Figure 2 (cd)), make the wind full; when the full power is greater than the outgoing power (see eb and bc in Figure 2 (cd)) Paragraph), it is necessary to determine whether their difference exceeds the maximum power allowed by the pumped storage power station. If it does not exceed, the wind power and photovoltaic power will be fully generated. In summary, the typical day-to-day wind power and photovoltaic power shown in Figure 2 should be output along the curve L2 where the dots are located. The difference between this curve and the output power curve L3 is the actual power output of the pumped storage power station, as shown in Figure 2 (cd). The shaded area indicates.
应用分段法还应注意以下两点:Attention should be paid to the following two points when applying the segmentation method:
(1)分段法对优化模型求解速度的提升效果主要取决于分段后的段数。分段后的时段数量越少,优化变量数目越少,提速效果越明显。那么,如果风电光伏满发曲线在受电区域消纳极限曲线附近波动频繁,将使得分段后时段数目较多,进而使得采用分段法只能少量缩短,甚至无法缩短优化求解所用时间。例如图3所示的受电区域消纳极限案例,图3(a)中L1表示风光最大出力,即风光满发功率,L2表示受电区域消纳极限。若以小时为间隔采样,任意
Figure PCTCN2019100210-appb-000073
Figure PCTCN2019100210-appb-000074
均不同号,分段后得到24时段,仍要求解3×24=72组变量,那么分段法并不能提升该典型日最大供电量计算模型的求解速度。
(1) The effect of the segmentation method on the optimization model's solution speed mainly depends on the number of segments after segmentation. The smaller the number of periods after segmentation, the fewer the number of optimization variables, and the more obvious the speed-up effect. Then, if the wind-power photovoltaic full-generation curve fluctuates frequently near the absorption limit curve of the power receiving area, it will make the number of periods after segmentation larger, and then the segmentation method can only be shortened by a small amount, or even the optimization solution time. For example, in the power receiving area consumption limit case shown in FIG. 3, in FIG. 3 (a), L1 represents the maximum output of the wind and the sun, that is, the full power of the wind and light, and L2 represents the power receiving area. If sampled in hours, any
Figure PCTCN2019100210-appb-000073
versus
Figure PCTCN2019100210-appb-000074
Both have different numbers. After segmentation, 24 periods are obtained. It is still required to solve 3 × 24 = 72 groups of variables. Then the segmentation method cannot improve the solution speed of the typical daily maximum power supply calculation model.
(2)由于公式(18)降低了联合系统日最大供电量上限,即使该典型日中的风光能量足够充裕,也无法再利用到例如图2(b)中带有圆点的阴影区域所示的消纳极限。那么当受电区域消纳极限曲线波动幅值较大时,阴影区域面积扩大(如图3(b)所示),此时分段法计算精度较差,计算结果很可能远小于联合系统实际的最大供电量。(2) Because formula (18) lowers the maximum daily power supply limit of the combined system, even if the wind and solar energy in this typical day is sufficient, it cannot be reused, for example, as shown by the shaded area with dots in Figure 2 (b) The digestion limit. Then, when the amplitude of the fluctuation of the absorption limit curve in the power receiving area is large, the area of the shadow area is enlarged (as shown in Figure 3 (b)). At this time, the calculation accuracy of the segmentation method is poor, and the calculation result is likely to be much smaller than the actual value of the joint system. Maximum power supply.
针对这种情况,可对上述分段法进行调整,在2)模型变换与自变量个数的缩减的过程中,仅等效风光满发功率曲线,不再变换消纳极限曲线,仍采用公式(15)约束外送功率。相应的,不再要求抽蓄出力在段内保持不变,即在设 置自变量时每个采样点设置一组抽蓄出力变量,每段设置一组风电出力自变量与一组光伏出力自变量。调整后的分段方法对消纳曲线的跟踪能力变强,但相对于调整前可缩减的自变量数目变少,所以计算速度也相对较慢。另外,如果风光抽容量在规划阶段配置得当,一般情况下,相对于风光出力的剧烈波动,受电区域消纳极限的变化是较为平缓的。本文不对如图3(b)所示受电区域消纳极端情况进行详细研究。In response to this situation, the above-mentioned segmentation method can be adjusted. In the process of 2) model transformation and reduction of the number of independent variables, only the equivalent wind and full power curve is used, and the consumption limit curve is no longer transformed. The formula is still used (15) Constrain the outgoing power. Correspondingly, it is no longer required to keep the output power constant in the segment, that is, when setting independent variables, a set of output power variables is set for each sampling point, and a set of wind power output variables and a set of photovoltaic output variables are set in each segment. . The adjusted segmentation method has a stronger ability to track the consumption curve, but the number of independent variables that can be reduced before adjustment is reduced, so the calculation speed is relatively slow. In addition, if the wind and solar pumping capacity is properly configured in the planning stage, in general, compared with the drastic fluctuations in wind and solar output, the change in the power consumption area's absorption limit is relatively gentle. This article does not conduct a detailed study on the extreme conditions of the power receiving area as shown in Figure 3 (b).
基于同一发明构思,本申请还提出一种柔性直流电网的能源外送能力评估系统,包括:Based on the same inventive concept, this application also proposes an energy delivery capability evaluation system for a flexible DC power grid, including:
区域划分模块,配置为将预先建立的交直流混合系统划分为供电区域和受电区域;Area division module configured to divide a pre-established AC / DC hybrid system into a power supply area and a power reception area;
构建模块,配置为构建包括基于所述受电区域的消纳极限定义供电区域的约束条件和目标函数的风光抽联合运行优化模型;A construction module configured to construct a wind and light pumping combined operation optimization model including defining a constraint condition of a power supply area and an objective function based on the consumption limit of the power reception area;
分析模块,配置为采用内点法求解模型,获得供电区域最大外送电量。The analysis module is configured to solve the model using the interior point method to obtain the maximum delivered power in the power supply area.
本领域内的技术人员应明白,本申请的实施例可提供为方法、系统、或计算机程序产品。因此,本申请可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本申请可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。Those skilled in the art should understand that the embodiments of the present application may be provided as a method, a system, or a computer program product. Therefore, this application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Moreover, this application may take the form of a computer program product implemented on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.
本申请是参照根据本申请实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流 程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。This application is described with reference to flowcharts and / or block diagrams of methods, devices (systems), and computer program products according to embodiments of the present application. It should be understood that each process and / or block in the flowcharts and / or block diagrams, and combinations of processes and / or blocks in the flowcharts and / or block diagrams can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing device to produce a machine, so that the instructions generated by the processor of the computer or other programmable data processing device are used to generate instructions Means for implementing the functions specified in one or more flowcharts and / or one or more blocks of the block diagrams.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing device to work in a particular manner such that the instructions stored in the computer-readable memory produce a manufactured article including an instruction device, the instructions The device implements the functions specified in one or more flowcharts and / or one or more blocks of the block diagram.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions can also be loaded on a computer or other programmable data processing device, so that a series of steps can be performed on the computer or other programmable device to produce a computer-implemented process, which can be executed on the computer or other programmable device. The instructions provide steps for implementing the functions specified in one or more flowcharts and / or one or more blocks of the block diagrams.
图4是本发明实施例提供的一种电子设备的硬件结构示意图,如图4所示,该电子设备包括:一个或多个处理器210和存储器220。图4中以一个处理器210为例。FIG. 4 is a schematic diagram of a hardware structure of an electronic device according to an embodiment of the present invention. As shown in FIG. 4, the electronic device includes one or more processors 210 and a memory 220. A processor 210 is taken as an example in FIG. 4.
所述电子设备还可以包括:输入装置230和输出装置240。The electronic device may further include an input device 230 and an output device 240.
所述电子设备中的处理器210、存储器220、输入装置230和输出装置240可以通过总线或者其他方式连接,图4中以通过总线连接为例。The processor 210, the memory 220, the input device 230, and the output device 240 in the electronic device may be connected through a bus or other manners. In FIG. 4, the connection through the bus is taken as an example.
存储器220作为一种计算机可读存储介质,可设置为存储软件程序、计算机可执行程序以及模块。处理器210通过运行存储在存储器220中的软件程序、指令以及模块,从而执行多种功能应用以及数据处理,以实现上述实施例中的任意一种方法。The memory 220 is a computer-readable storage medium, and may be configured to store software programs, computer-executable programs, and modules. The processor 210 executes various functional applications and data processing by running software programs, instructions, and modules stored in the memory 220 to implement any one of the methods in the above embodiments.
存储器220可以包括存储程序区和存储数据区,其中,存储程序区可存储操作系统、至少一个功能所需要的应用程序;存储数据区可存储根据电子设备的使用所创建的数据等。此外,存储器可以包括随机存取存储器(Random Access Memory,RAM)等易失性存储器,还可以包括非易失性存储器,例如至少一个磁盘存储器件、闪存器件或者其他非暂态固态存储器件。The memory 220 may include a storage program area and a storage data area, wherein the storage program area may store an operating system and application programs required for at least one function; the storage data area may store data created according to the use of the electronic device, and the like. In addition, the memory may include volatile memory such as Random Access Memory (RAM), and may also include non-volatile memory, such as at least one disk storage device, flash memory device, or other non-transitory solid-state storage device.
存储器220可以是非暂态计算机存储介质或暂态计算机存储介质。该非暂态计算机存储介质,例如至少一个磁盘存储器件、闪存器件、或其他非易失性固态存储器件。在一些实施例中,存储器220可选包括相对于处理器210远程设置的存储器,这些远程存储器可以通过网络连接至电子设备。上述网络的实 例可以包括互联网、企业内部网、局域网、移动通信网及其组合。The memory 220 may be a non-transitory computer storage medium or a transient computer storage medium. The non-transitory computer storage medium, for example, at least one magnetic disk storage device, flash memory device, or other non-volatile solid-state storage device. In some embodiments, the memory 220 may optionally include a memory remotely disposed with respect to the processor 210, and these remote memories may be connected to the electronic device through a network. Examples of the above network may include the Internet, an intranet, a local area network, a mobile communication network, and combinations thereof.
输入装置230可设置为接收输入的数字或字符信息,以及产生与电子设备的用户设置以及功能控制有关的键信号输入。输出装置240可包括显示屏等显示设备。The input device 230 may be configured to receive inputted numeric or character information and generate key signal inputs related to user settings and function control of the electronic device. The output device 240 may include a display device such as a display screen.
本实施例还提供一种计算机可读存储介质,存储有计算机可执行指令,所述计算机可执行指令用于执行上述方法。This embodiment also provides a computer-readable storage medium storing computer-executable instructions, where the computer-executable instructions are used to execute the foregoing method.
上述实施例方法中的全部或部分流程可以通过计算机程序来执行相关的硬件来完成的,该程序可存储于一个非暂态计算机可读存储介质中,该程序在执行时,可包括如上述方法的实施例的流程,其中,该非暂态计算机可读存储介质可以为磁碟、光盘、只读存储记忆体(Read-Only Memory,ROM)或RAM等。All or part of the processes in the method of the above embodiment can be completed by executing related hardware through a computer program. The program can be stored in a non-transitory computer-readable storage medium. When the program is executed, the method can include the method described above. The process of the embodiment, wherein the non-transitory computer-readable storage medium may be a magnetic disk, an optical disk, a read-only memory (ROM), or a RAM.
本文涉及一种柔性直流电网的能源外送能力评估方法及系统,重点考虑如何通过风光抽联合运行优化调度提升风光能量利用率。将预先建立的交直流混合系统划分为供电区域和受电区域,并采用内点法求解风光抽联合运行优化模型,获得供电区域最大外送电量。在柔直电网外送端汇入新能源最大供电量,从而评估风光抽联合运行的外送能力,为后续调度员制定调度计划和实时决策提供有力依据。This paper relates to a method and system for evaluating the energy delivery capacity of a flexible DC power grid, focusing on how to improve the utilization rate of wind and solar energy through the optimized operation of wind and solar pumping combined operation. The pre-established AC / DC hybrid system is divided into a power supply area and a power receiving area, and the interior point method is used to solve the wind and solar pumping combined operation optimization model to obtain the maximum outbound power supply in the power supply area. The maximum supply of new energy is fed into the outbound end of the flexible grid, so as to evaluate the outbound capacity of the combined operation of wind and solar pumping, which provides a strong basis for subsequent dispatchers to formulate scheduling plans and real-time decisions.
其中,风光抽联合运行优化模型包括基于受电区域的消纳极限定义的供电区域的约束条件和目标函数;采用目标函数可弥补传统优化模型迭代潮流导致计算缓慢的缺陷,减少了模型优化变量数目,提升模型求解速度。在风光资源不足的情况下,可避免为满足库容要求在日末大量抽水,进而获得更多的外送电量,同时使联合系统的外送功率曲线更加平稳。Among them, the optimization model for combined operation of wind and light extraction includes the constraints and objective functions of the power supply area defined based on the power consumption area's consumption limit; the use of the objective function can make up for the shortcomings of the traditional optimization model iterative flow, which reduces the number of model optimization variables. , Improve the model solving speed. In the case of insufficient scenery resources, it is possible to avoid a large amount of pumping at the end of the day in order to meet the storage capacity requirements, thereby obtaining more outbound power, and at the same time, make the outbound power curve of the combined system more stable.

Claims (19)

  1. 一种柔性直流电网的能源外送能力评估方法,所述方法包括:A method for evaluating energy delivery capacity of a flexible DC power grid, the method includes:
    将预先建立的交直流混合系统划分为供电区域和受电区域;Dividing a pre-established AC / DC hybrid system into a power supply area and a power reception area;
    基于所述受电区域的消纳极限,定义所述供电区域的约束条件和目标函数,构建风光抽联合运行优化模型;所述风光抽联合运行优化模型包括所述供电区域的约束条件和目标函数,所述供电区域包括:通过柔性直流线路相互连接风电场、光伏电站和抽水蓄能电站;Based on the consumption limit of the power receiving area, the constraint conditions and objective function of the power supply area are defined, and an optimized model for combined operation of wind and light extraction is constructed; the optimized model for combined operation of wind and light extraction includes the constraint conditions and objective function of the supply area The power supply area includes: connecting a wind farm, a photovoltaic power station, and a pumped storage power station to each other through a flexible DC line;
    采用内点法求解所述风光抽联合运行优化模型,获得所述供电区域的最大外送电量。An interior point method is used to solve the wind-solar pumping operation optimization model to obtain the maximum delivered power of the power supply area.
  2. 根据权利要求1所述的方法,其中,所述将预先建立的交直流混合系统划分为供电区域和受电区域包括:The method according to claim 1, wherein the dividing the pre-established AC / DC hybrid system into a power supply area and a power reception area comprises:
    将风电场、光伏电站、抽水蓄能电站与柔性直流系统并网,构成交直流混合系统;Integrate wind farms, photovoltaic power plants, pumped storage power plants and flexible DC systems into a grid to form an AC / DC hybrid system;
    所述交直流混合系统包括:联合供电系统和交直流系统;The AC / DC hybrid system includes: a combined power supply system and an AC / DC system;
    将所述交直流系统定义为受电区域,将所述联合供电系统定义为供电区域。The AC / DC system is defined as a power receiving area, and the combined power supply system is defined as a power supply area.
  3. 根据权利要求1所述的方法,其中,所述基于所述受电区域的消纳极限,定义所述供电区域的约束条件和目标函数包括:The method according to claim 1, wherein the defining a constraint condition and an objective function of the power supply area based on the consumption limit of the power receiving area comprises:
    以单日内所述供电区域最大外送电量为供电区域的目标函数,并基于所述供电区域的影响因素方程添加柔性直流系统不等式约束、抽水蓄能电站不等式约束、风电场与光伏电站实际出力不等式约束和供电区域外送功率不等式约束,作为所述供电区域的约束条件;其中,Take the maximum output power of the power supply area in a single day as the objective function of the power supply area, and add a flexible DC system inequality constraint, a pumped storage power station inequality constraint, a wind farm and a photovoltaic power plant actual output inequality based on the influence factor equation of the power supply area Constraints and constraints on the inequality of the power delivered to the power supply area, as the constraints of the power supply area;
    所述柔性直流系统不等式约束包括:直流节点电压约束、换流器交流侧电压约束、调制比约束、电压源换流器热容量约束和直流线路最大允许电流约束;The flexible DC system inequality constraints include: DC node voltage constraints, converter AC-side voltage constraints, modulation ratio constraints, voltage source converter thermal capacity constraints, and DC line maximum allowable current constraints;
    所述抽水蓄能电站不等式约束包括:上下库容约束、日出日末库容约束和抽 水蓄能电站功率约束。The inequality constraints of the pumped storage power station include: upper and lower storage capacity constraints, end of sunrise storage capacity constraints, and pumped storage power constraints.
  4. 根据权利要求3所述的方法,其中,所述供电区域的影响因素方程包括:直流网络方程、电压源换流器方程和抽水蓄能电站库容变化量方程;其中,The method according to claim 3, wherein the influencing factor equations of the power supply area include: a DC network equation, a voltage source converter equation, and a storage capacity change equation of a pumped storage power station; wherein,
    所述直流网络方程如下式:The DC network equation is as follows:
    Figure PCTCN2019100210-appb-100001
    Figure PCTCN2019100210-appb-100001
    式中,P dv、U dv分别为直流节点v的节点注入功率与节点电压,N d为直流节点集合,Y dvk为柔性直流网络节点导纳矩阵Y d的第v行、k列元素; In the formula, P dv and U dv are the node injection power and node voltage of the DC node v, N d is the set of DC nodes, and Y dvk is the v-th and k-th elements of the admittance matrix Y d of the flexible DC network node;
    所述电压源换流器方程如下式:The voltage source converter equation is as follows:
    P c=P d P c = P d
    Figure PCTCN2019100210-appb-100002
    Figure PCTCN2019100210-appb-100002
    Figure PCTCN2019100210-appb-100003
    Figure PCTCN2019100210-appb-100003
    Figure PCTCN2019100210-appb-100004
    Figure PCTCN2019100210-appb-100004
    Figure PCTCN2019100210-appb-100005
    Figure PCTCN2019100210-appb-100005
    式中,R表示相电阻,X表示相电感,U s为电压源换流器交流侧电压幅值,U c为阀侧电压幅值,δ sc为阀侧电压与电压源换流器交流侧电压的角度差,P s为电压源换流器交流侧注入有功功率,Q s为电压源换流器交流侧注入无功功率,P c为电压源换流器阀侧流出有功功率,P d为电压源换流器注入直流线路的有功功率;I s为交流系统流入电压源换流变压器的电流,U d为电压源换流器直流侧单极电压,M为调制度,μ为直流电压利用率; Where R is the phase resistance, X is the phase inductance, U s is the voltage amplitude of the AC side of the voltage source converter, U c is the voltage amplitude of the valve side, and δ sc is the valve side voltage and the AC side of the voltage source converter The angle of the voltage difference, P s is the injected active power on the AC side of the voltage source converter, Q s is the injected reactive power on the AC side of the voltage source converter, P c is the active power flowing out of the valve side of the voltage source converter, P d Active power injected into the DC line for the voltage source converter; I s is the current flowing from the AC system into the voltage source converter transformer, U d is the unipolar voltage on the DC side of the voltage source converter, M is the modulation degree, and μ is the DC voltage Utilization
    所述抽水蓄能电站库容变化量方程包括:The storage capacity change equation of the pumped storage power station includes:
    抽水蓄能电站发电时的上、下水库库容变化方程:Variation equation of the storage capacity of the upper and lower reservoirs when the pumped storage power station is generating power:
    Figure PCTCN2019100210-appb-100006
    Figure PCTCN2019100210-appb-100006
    抽水蓄能电站抽水时的上、下水库库容变化方程:The equation of storage capacity change of the upper and lower reservoirs when pumped by a pumped storage power station:
    Figure PCTCN2019100210-appb-100007
    Figure PCTCN2019100210-appb-100007
    式中,上角标t表示时刻,V u为上水库库容,V d为下水库库容,P h为抽水蓄能电站发出的有功功率,η 1、η 2分别为抽水蓄能电站的发电功率、抽水功率与库容之间的折算系数。 Wherein the superscript t represents time, V u of the reservoir capacity, V d of the reservoir capacity, active power P h as given pumped storage power station, η 1, η 2 respectively generated power of the pumped storage power station Conversion factor between pumping power and storage capacity.
  5. 根据权利要求4所述的方法,所述方法还包括:通过下式确定所述供电区域的目标函数:The method according to claim 4, further comprising: determining an objective function of the power supply area by the following formula:
    Figure PCTCN2019100210-appb-100008
    Figure PCTCN2019100210-appb-100008
    式中,
    Figure PCTCN2019100210-appb-100009
    为t时刻下节点i、j之间传输的有功功率,A为所述供电区域,B为所述受电区域;N为一天中采样点的个数,Δt为采样时间间隔;f为所述供电区域的最大外送电量。
    Where
    Figure PCTCN2019100210-appb-100009
    Is the active power transmitted between nodes i and j at time t, A is the power supply area, B is the power reception area, N is the number of sampling points in a day, Δt is the sampling time interval, and f is the Maximum outgoing power in the power supply area.
  6. 根据权利要求4所述的方法,所述方法还包括:通过下式确定所述柔性直流系统不等式约束:The method according to claim 4, further comprising: determining the flexible DC system inequality constraint by:
    Figure PCTCN2019100210-appb-100010
    Figure PCTCN2019100210-appb-100010
    式中,U dv为第v个直流节点电压,N d为直流节点个数,
    Figure PCTCN2019100210-appb-100011
    Figure PCTCN2019100210-appb-100012
    分别为第k个直流节点电压上、下限,
    Figure PCTCN2019100210-appb-100013
    Figure PCTCN2019100210-appb-100014
    分别为第i个电压源换流器的交流侧电压上、下限,U ci、I ci分别为第i个电压源换流器的交流侧电压和热容量,M c为电压源换流器的调制比,
    Figure PCTCN2019100210-appb-100015
    分别为电压源换流器的调制比最大、最小值,
    Figure PCTCN2019100210-appb-100016
    为第i个电压源换流器的热容量上限,Nc为电压源换流器合集,I kv'为第v’条柔性直流线路最大允许电流,
    Figure PCTCN2019100210-appb-100017
    为第v’条柔性直流线路的额定电流,k为柔性直流线路条数。
    Where U dv is the v-th DC node voltage and N d is the number of DC nodes.
    Figure PCTCN2019100210-appb-100011
    with
    Figure PCTCN2019100210-appb-100012
    The upper and lower limits of the k-th DC node voltage,
    Figure PCTCN2019100210-appb-100013
    with
    Figure PCTCN2019100210-appb-100014
    The upper and lower limits of the AC-side voltage of the i-th voltage source converter, U ci and I ci are the AC-side voltage and heat capacity of the i-th voltage source converter, and M c is the modulation of the voltage source converter ratio,
    Figure PCTCN2019100210-appb-100015
    The maximum and minimum modulation ratios of the voltage source converter,
    Figure PCTCN2019100210-appb-100016
    Is the upper limit of the thermal capacity of the i-th voltage source converter, Nc is the collection of voltage source converters, and I kv ' is the maximum allowable current of the v' flexible DC line,
    Figure PCTCN2019100210-appb-100017
    Is the rated current of the v 'flexible DC line, and k is the number of flexible DC lines.
  7. 根据权利要求4所述的方法,所述方法还包括:通过下式确定上下库容约束:The method according to claim 4, further comprising: determining the upper and lower storage capacity constraints by:
    Figure PCTCN2019100210-appb-100018
    Figure PCTCN2019100210-appb-100018
    通过下式确定日出日末库容约束:Determine the storage capacity constraint at the end of the sunrise by the following formula:
    Figure PCTCN2019100210-appb-100019
    Figure PCTCN2019100210-appb-100019
    通过下式确定功率约束:Determine the power constraint by:
    Figure PCTCN2019100210-appb-100020
    Figure PCTCN2019100210-appb-100020
    式中,P h为抽水蓄能电站发出的有功功率,V t u和V t d分别为t时刻上水库库容和下水库库容,
    Figure PCTCN2019100210-appb-100021
    Figure PCTCN2019100210-appb-100022
    分别为上水库的最大、最小库容,
    Figure PCTCN2019100210-appb-100023
    Figure PCTCN2019100210-appb-100024
    分别为下水库的最大、最小库容,
    Figure PCTCN2019100210-appb-100025
    Figure PCTCN2019100210-appb-100026
    分别为日初、日末上水库库容;
    Figure PCTCN2019100210-appb-100027
    Figure PCTCN2019100210-appb-100028
    分别为日初、日末下水库库容,μ为1天内允许的最大库容变动系数;P omax和P omin分别为抽水蓄能电站的最大、最小发电出力;P imax和P imin分别为抽水蓄能电站的最大、最小抽水出力。
    In the formula, P h is the active power from the pumped storage power station, and V t u and V t d are the storage capacity of the upper reservoir and the storage capacity of the lower reservoir at time t , respectively.
    Figure PCTCN2019100210-appb-100021
    with
    Figure PCTCN2019100210-appb-100022
    Are the maximum and minimum storage capacity of the upper reservoir,
    Figure PCTCN2019100210-appb-100023
    with
    Figure PCTCN2019100210-appb-100024
    The maximum and minimum storage capacity of the lower reservoir, respectively
    Figure PCTCN2019100210-appb-100025
    with
    Figure PCTCN2019100210-appb-100026
    The storage capacity of the upper reservoir at the beginning of the day and the end of the day;
    Figure PCTCN2019100210-appb-100027
    with
    Figure PCTCN2019100210-appb-100028
    P omax and P omin are pumped storage power station of the maximum and minimum power output;; P imax and P imin pumped storage are first day, the last day the reservoir capacity, [mu] is the coefficient of variation of the maximum capacity were allowed 1 day Maximum and minimum pumping output of the power station.
  8. 根据权利要求4所述的方法,所述方法还包括:通过下式确定风电场与光伏电站实际出力不等式约束:The method according to claim 4, further comprising: determining an actual output inequality constraint of the wind farm and the photovoltaic power plant by the following formula:
    0≤P f≤P′ f 0≤P f ≤P ′ f
    0≤P g≤P′ g 0≤P g ≤P ′ g
    式中,P f和P g分别风电场与光伏电站的实际出力,P′ f和P′ g分别风电场与光伏电站的最大出力。 In the formula, P f and P g are the actual output of the wind farm and the photovoltaic power plant, respectively, and P ′ f and P ′ g are the maximum output of the wind farm and the photovoltaic power plant, respectively.
  9. 根据权利要求4所述的方法,其中,所述方法还包括:通过下式确定联合供电系统外送功率不等式约束:The method according to claim 4, wherein the method further comprises: determining an inequalities constraint on the output power of the joint power supply system by the following formula:
    Figure PCTCN2019100210-appb-100029
    Figure PCTCN2019100210-appb-100029
    式中,
    Figure PCTCN2019100210-appb-100030
    为t时刻联合供电系统的外送功率,
    Figure PCTCN2019100210-appb-100031
    为t时刻受电区域消纳极限。
    Where
    Figure PCTCN2019100210-appb-100030
    The output power of the joint power supply system at time t,
    Figure PCTCN2019100210-appb-100031
    It is the limit of the power receiving area at time t.
  10. 根据权利要求1所述的方法,其中,所述采用内点法求解所述风光抽联合运行优化模型,获得所述供电区域的最大外送电量包括:The method according to claim 1, wherein the solution of the wind-solar pumping combined operation optimization model by using an interior point method to obtain the maximum outbound power of the power supply area comprises:
    获取典型日每个采样点对应的风电场与光伏电站的最大出力之和;Obtain the sum of the maximum output of the wind farm and the photovoltaic power plant corresponding to each sampling point on a typical day;
    计算所述风电场与所述光伏电站的最大出力之和与所述受电区域的消纳极限的差值;Calculating the difference between the sum of the maximum output of the wind farm and the photovoltaic power station and the dissipation limit of the power receiving area;
    基于当前采样点对应的差值与下一时刻采样点对应的差值均大于0或者均小于0的判断结果,将两个采样点归为同一时间段;Based on the judgment result that the difference corresponding to the current sampling point and the difference corresponding to the sampling point at the next moment are both greater than 0 or less than 0, the two sampling points are classified into the same time period;
    依据所述时间段,对所述风光抽联合运行优化模型进行等效变换。According to the time period, an equivalent transformation is performed on the optimization model of the combined operation of scenery and light extraction.
  11. 根据权利要求10所述的方法,所述方法还包括:通过下式确定所述风电场与光伏电站的最大出力之和与所述受电区域的消纳极限的差值:The method according to claim 10, further comprising: determining a difference between a sum of maximum output of the wind farm and a photovoltaic power plant and a dissipation limit of the power receiving area by the following formula:
    Figure PCTCN2019100210-appb-100032
    Figure PCTCN2019100210-appb-100032
    式中,N t为典型日采样点总个数,
    Figure PCTCN2019100210-appb-100033
    为t时刻受电区域的消纳极限,
    Figure PCTCN2019100210-appb-100034
    表示t时刻风电场的最大出力变量,
    Figure PCTCN2019100210-appb-100035
    表示t时刻光伏电站的最大出力变量,
    Figure PCTCN2019100210-appb-100036
    为所述风电场与所述光伏电站的最大出力之和与所述受电区域的消纳极限的差值。
    Where N t is the total number of typical daily sampling points,
    Figure PCTCN2019100210-appb-100033
    Is the dissipation limit of the power receiving area at time t,
    Figure PCTCN2019100210-appb-100034
    Represents the maximum output variable of the wind farm at time t,
    Figure PCTCN2019100210-appb-100035
    Represents the maximum output variable of the photovoltaic power plant at time t,
    Figure PCTCN2019100210-appb-100036
    Is the difference between the sum of the maximum output of the wind farm and the photovoltaic power station and the dissipation limit of the power receiving area.
  12. 根据权利要求10所述的方法,其中,所述依据所述时间段,对所述风光抽联合运行优化模型进行等效变换包括:The method according to claim 10, wherein the equivalently transforming the optimized combination model of scenery and light extraction according to the time period comprises:
    更新所述风光抽联合运行优化模型中风电场与光伏电站的最大出力;Update the maximum output of the wind farm and the photovoltaic power plant in the wind-solar pumping combined operation optimization model;
    获取基于单日内多个时刻的所述受电区域的消纳极限绘制的所述受电区域的消纳极限曲线;根据所述时间段将所述受电区域的消纳极限曲线转化为阶梯形曲 线;Obtain the consumption limit curve of the power receiving area drawn based on the consumption limit of the power receiving area at multiple moments in a single day; convert the consumption limit curve of the power receiving area into a step shape according to the time period curve;
    更新所述风光抽联合运行优化模型和抽水蓄能电站不等式约束,所述约束条件包括所述抽水蓄能电站不等式约束;Update the optimization model of the combined operation of wind and solar power and the inequality constraints of the pumped storage power station, the constraint conditions include the inequality constraints of the pumped storage power station;
    采用内点法求解更新后的风光抽联合运行优化模型,获得所述供电区域的最大外送电量。The updated point-to-point combined operation optimization model is solved by using the interior point method to obtain the maximum delivered power of the power supply area.
  13. 根据权利要求12所述的方法,所述方法还包括:通过下式更新所述风光抽联合运行优化模型中风电场与光伏电站的最大出力:The method according to claim 12, further comprising: updating the maximum output of a wind farm and a photovoltaic power plant in the wind-solar pumping joint operation optimization model by the following formula:
    Figure PCTCN2019100210-appb-100037
    Figure PCTCN2019100210-appb-100037
    式中,P″ f、P″ g分别为单位时间段内,风电场与光伏电站的最大出力平均值;T m为第m段的时长;N Tm为第m时段中包含的采样点个数。 In the formula, P ″ f and P ″ g are the average values of the maximum output of the wind farm and the photovoltaic power plant in a unit time period, respectively; T m is the length of the m-th period; N Tm is the number of sampling points included in the m-th period .
  14. 根据权利要求12所述的方法,所述方法还包括:通过下式将所述受电区域的消纳极限曲线转化为阶梯形曲线:The method according to claim 12, further comprising: converting the consumption limit curve of the power receiving area into a stepped curve by the following formula:
    Figure PCTCN2019100210-appb-100038
    Figure PCTCN2019100210-appb-100038
    式中,a、b为采样点编号,m为分段后的时段编号。In the formula, a and b are sampling point numbers, and m is a period number after segmentation.
  15. 根据权利要求12所述的方法,所述方法还包括:通过下式更新风光抽联合运行优化模型:The method according to claim 12, further comprising: updating an optimization model of joint operation of updating scenery and light extraction through the following formula:
    Figure PCTCN2019100210-appb-100039
    Figure PCTCN2019100210-appb-100039
    式中,
    Figure PCTCN2019100210-appb-100040
    为m时段节点i、j之间传输的有功功率,A表示供电区域,B表示受电区域,N T为m时段的采样点个数。
    Where
    Figure PCTCN2019100210-appb-100040
    M periods between active power transfer node i, j's, A represents the power supply region, B represents a power receiving region, N T is the number of sampling points m period.
  16. 根据权利要求7或12所述的方法,所述方法还包括:通过下式更新抽水蓄能电站不等式约束:The method according to claim 7 or 12, further comprising: updating an inequality constraint of the pumped storage power station by the following formula:
    Figure PCTCN2019100210-appb-100041
    Figure PCTCN2019100210-appb-100041
    式中,P' h为抽水蓄能电站发出的有功功率,P s为供电区域的最大外送电量,P′ f和P′ g分别风电场与光伏电站的最大出力,P imax为抽水蓄能电站的最大抽水出力,P h为抽水蓄能电站发出的有功功率。 Wherein, P 'h is active emitted pumped storage power station, P s is the maximum transmitted power of the external power supply region, P' f and P 'are respectively the maximum wind farm output g of the photovoltaic plant, P imax pumped storage the maximum pumping power plant output, active power P h issued for the pumped storage power station.
  17. 一种柔性直流电网的能源外送能力评估系统,包括:An energy delivery capability evaluation system for a flexible DC grid includes:
    区域划分模块,配置为将预先建立的交直流混合系统划分为供电区域和受电区域;Area division module configured to divide a pre-established AC / DC hybrid system into a power supply area and a power reception area;
    构建模块,配置为基于所述受电区域的消纳极限,定义所述供电区域的约束条件和目标函数,构建包括所述供电区域的约束条件和目标函数的风光抽联合运行优化模型;所述供电区域包括:通过柔性直流线路相互连接风电场、光伏电站和抽水蓄能电站;A building module configured to define a constraint condition and an objective function of the power supply area based on the consumption limit of the power receiving area, and construct an optimization model for combined operation of scenery and light extraction that includes the constraint condition and the objective function of the power supply area; The power supply area includes: connecting wind farms, photovoltaic power stations and pumped storage power stations to each other through flexible DC lines;
    分析模块,配置为采用内点法求解风光抽联合运行优化模型,获得供电区域最大外送电量。The analysis module is configured to use the interior point method to solve the wind-solar pumping combined operation optimization model to obtain the maximum delivered power in the power supply area.
  18. 一种电子设备,包括:An electronic device includes:
    至少一个处理器;At least one processor;
    存储器,设置为存储至少一个程序,Memory, configured to store at least one program,
    当所述至少一个程序被所述至少一个处理器执行,使得所述至少一个处理器实现如权利要求1-16中任一所述的方法。When the at least one program is executed by the at least one processor, the at least one processor implements the method according to any one of claims 1-16.
  19. 一种计算机可读存储介质,存储有计算机可执行指令,所述计算机可执行指令用于执行如权利要求1-16任一所述的方法。A computer-readable storage medium stores computer-executable instructions, where the computer-executable instructions are used to perform the method according to any one of claims 1-16.
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