WO2021077753A1 - Comprehensive control method and system that ensure voltage safety in power recovery stage of multiple feed-in dc system - Google Patents
Comprehensive control method and system that ensure voltage safety in power recovery stage of multiple feed-in dc system Download PDFInfo
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- WO2021077753A1 WO2021077753A1 PCT/CN2020/094106 CN2020094106W WO2021077753A1 WO 2021077753 A1 WO2021077753 A1 WO 2021077753A1 CN 2020094106 W CN2020094106 W CN 2020094106W WO 2021077753 A1 WO2021077753 A1 WO 2021077753A1
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/12—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
- H02J3/16—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by adjustment of reactive power
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J4/00—Circuit arrangements for mains or distribution networks not specified as ac or dc
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- Y—GENERAL 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
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/30—Reactive power compensation
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- Y—GENERAL 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
- Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
- Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
- Y04S10/00—Systems supporting electrical power generation, transmission or distribution
- Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
- Y04S10/52—Outage or fault management, e.g. fault detection or location
Definitions
- the invention relates to the technical field of DC system power recovery, and in particular to a comprehensive control method and system for ensuring voltage safety in a multi-feed DC system power recovery stage.
- the electrical coupling is enhanced, and its operating mechanism is more complicated.
- domestic and foreign power grids have little experience in the recovery operation of multi-infeed DC systems after a blackout.
- the AC system is restored first, and the DC system is restored last.
- the DC system has the advantages of large transmission capacity and fast power adjustment. If the recovery capacity of the DC system can be fully utilized in the system recovery process, the recovery speed of the system will be greatly accelerated. Therefore, the rapid and safe recovery plan for the multi-feed DC system Research has important practical significance.
- the present invention proposes a comprehensive control method and system for ensuring voltage safety during the power recovery stage of the multi-infeed DC system, which can ensure the power recovery stage of the multi-infeed DC system. Voltage safety and improve recovery efficiency.
- the comprehensive control method for ensuring voltage safety during the power recovery phase of the multi-infeed DC system includes:
- an optimization model for the DC active power recovery is established with the deviation of all node voltages in the safe range as the constraint, and the model is solved to obtain the DC system's performance at each time step under the premise of voltage safety.
- the optimal recovery amount of active power is the optimal recovery amount of active power
- an optimization model for the increased investment of the reactive power compensation device with the goal of the minimum square sum of the node voltage deviation is established, and the model is solved to obtain the completion of the DC power recovery at each time step After the optimal increase of the reactive power compensation device, the node voltage deviation caused by the DC power recovery is minimized.
- a comprehensive control system that guarantees voltage safety during the power recovery phase of the multi-infeed DC system including:
- a device used to establish a reactive power compensation device increase investment optimization model aiming at the minimum square sum of the node voltage deviation according to the sensitivity matrix of the reactive power emitted by the reactive power compensation device according to the node voltage; After the completion of the one-time DC power recovery, the optimal increase of each reactive power compensation device is a device that minimizes the node voltage deviation caused by the DC power recovery.
- a terminal device which includes a processor and a computer-readable storage medium, the processor is used to implement each instruction; the computer-readable storage medium is used to store a plurality of instructions, the instructions are suitable for being loaded by the processor and executing the above-mentioned multi-feed A comprehensive control method to ensure voltage safety during the power recovery phase of the DC system.
- a computer-readable storage medium stores a plurality of instructions, and the instructions are suitable for being loaded by a processor of a terminal device and executing the above-mentioned comprehensive control method for ensuring voltage safety during the power recovery phase of a multi-feed DC system.
- the method of the present invention can solve the problem of AC voltage drop caused by the power recovery of the DC system; in each time step of the recovery, the method optimizes the recovery amount of the active power of the DC system, and improves the recovery efficiency under the premise of ensuring the safety of the system voltage , And then optimize the increased investment of the reactive power compensation device to minimize the voltage deviation of each node caused by the recovery of DC power, and to keep the system voltage constant.
- Fig. 1 is a flow chart of a comprehensive control method for ensuring voltage safety during the power recovery phase of a multi-feed DC system in the first embodiment of the present invention
- Figure 2 is an iterative flow chart of the method in the first embodiment of the present invention.
- Figure 3 is a structural diagram of the power system in the first embodiment of the present invention.
- Fig. 4 is a curve of node voltage change in the DC power recovery phase using the integrated control method of the present invention
- Fig. 5 is a curve of node voltage change in the DC power recovery stage without the integrated control method of the present invention.
- the reactive power level of the system during the power recovery process of the multi-infeed DC system is the main factor that affects the node voltage. Therefore, the variables that determine the node voltage are: the reactive power absorbed by the DC inverter and the reactive power generated by the reactive compensation device.
- the reactive power absorbed by the DC system is directly related to the active power recovered by the DC system. Therefore, reasonable regulation of the power recovery of each DC system at each time step can ensure the safety of the node voltage and improve the recovery speed; DC power recovery at each time step After completion, a certain voltage deviation will inevitably be caused, and the voltage deviation caused by the recovery of the DC power can be minimized through a reasonable increase in the reactive power compensation equipment in the system, and the voltage can be kept constant.
- the multi-infeed DC system has mutual influences between the DC systems. How to accurately account for the interaction between the DC systems is of great significance to reliably guarantee the voltage safety of the multi-infeed DC system power recovery process.
- a comprehensive control method for ensuring voltage safety during the power recovery phase of a multi-feed DC system is disclosed. As shown in Figures 1 and 2, the method is carried out in multiple time steps. The steps include the following steps:
- the power flow equation of the AC and DC system is composed of the power flow equation of the AC system and the operation equation of the DC system.
- the form of the power flow equation of the AC system is:
- P G,i and Q G,i are the active power and reactive power sent by the AC generator set to node i;
- P L,i and Q L,i are the active power and reactive power consumed by the load of node i;
- P a,i and Q a,i are the active power and reactive power injected into the AC node i, and the calculation form is:
- U i and U j are the voltages of nodes i and j
- G ij , ⁇ ij and B ij are the conductance, power angle difference, and susceptance between nodes i and j, respectively.
- P d,i is the active power injected by the DC system fed into node i
- Q d,i is the reactive power injected by the DC system fed into node i
- ⁇ i is the power angle of node i.
- the operating equation of the DC system quantitatively expresses the relationship between the active power and reactive power of the DC output and the voltage amplitude and phase angle of the commutation bus.
- the power flow equation of the AC and DC system can be obtained.
- the form of the power flow equation of the AC/DC system is as follows:
- step (2) the sensitivity matrix of the node voltage to the active power of DC transmission and the sensitivity matrix of the node voltage to the reactive power emitted by the reactive power compensation device are obtained through the power flow equation of the AC and DC system.
- the reactive power absorbed by the DC system needs to be represented by the active power transmitted by the DC system according to the power factor of the DC inverter, and then substituted into the node voltage.
- the power sensitivity matrix sort the available node voltage sensitivity matrix to the DC transmission active power.
- the reactive power emitted by the reactive power compensation device is the reactive power injected by the node, and the sensitivity matrix of the node voltage to the reactive power injected into the node is the sensitivity matrix of the node voltage to the reactive power emitted by the reactive power compensation device.
- J P ⁇ , J PU , J Q ⁇ and J QU are the corresponding block matrices of the Jacobian matrix respectively. Only consider the relationship between reactive power and voltage amplitude, so that the AC/DC system power flow Jacobian matrix is transformed into a dimensionality reduction matrix:
- the sensitivity matrix of node voltage to reactive power Is the sensitivity matrix of node voltage to reactive power.
- the sensitivity equation of node voltage to DC transmission active power can be obtained as:
- I the power factor angle of the DC system inverter fed into node i
- I the sensitivity matrix of the node voltage to the DC transmission active power
- ⁇ P d the recovery amount of the DC power.
- the sensitivity equation of node voltage to reactive power emitted by reactive power compensation device can be obtained as:
- ⁇ Q c is the increased reactive power of the reactive power compensation device.
- step (3) the establishment process of the DC transmission active power recovery optimization model constrained by the node voltage deviation within the safe range is as follows:
- the decision variable is ⁇ P d,i , that is, the amount of active power recovery of each DC system at each time step.
- the optimization goal is to maximize the amount of DC power recovery per time step:
- the equation constraint is the sensitivity equation of the node voltage to the active power of DC transmission:
- the inequality constraints are the DC power upper limit constraint and the node voltage safety range constraint:
- P dmax,i is the upper limit of DC transmission power
- U N,i is the rated voltage of node i
- 0.9U N,i is the safe lower limit of node voltage.
- the DC transmission active power recovery optimization model constrained by the node voltage deviation within the safe range can be solved by the linear programming function of CPLEX, and the maximum value of each DC system at each time step is obtained on the premise that the node voltage is within the safe range. Excellent recovery power.
- the calculation results are sent to the controllers of each DC system for DC active power recovery control.
- step (4) the establishment process of the optimization model of the increased investment of the reactive power compensation device with the goal of the minimum square sum of the node voltage deviation value is as follows:
- the decision variable is ⁇ Q C,i , that is, the increased investment of each node reactive power compensation device after the completion of the DC power recovery at each time step.
- the optimization goal is to minimize the sum of squared deviations of the node voltage:
- the equation constraint is the sensitivity equation of the node voltage to the reactive power emitted by the reactive power compensation device:
- the inequality constraint is the upper limit constraint on the capacity of the reactive power compensation device: Q C,i + ⁇ Q C,i ⁇ Q Cmax,i .
- Q Cmax,i is the upper limit of the capacity of the reactive power compensation device.
- the optimization model of the increased investment of the reactive power compensation device with the goal of the minimum square sum of the node voltage deviation value can be solved by the linear programming function of CPLEX, and the maximum value of the reactive power compensation device after the completion of the DC power recovery at each time step is obtained.
- Optimal increase in investment volume minimizes the node voltage deviation caused by DC power recovery.
- the calculation result is sent to the reactive power compensation equipment controller of each substation for reactive power compensation control.
- the 4-DC fed 39-node system shown in FIG. 3 is taken as an example to further illustrate the specific implementation process of the present invention.
- the specific implementation process of this example includes:
- the node 16 is set as the central node of the system in the embodiment, and after each operation, the voltage of the node 16 is calculated by the power flow calculation software to reflect the overall voltage level of the system.
- FIG. 4 records the voltage change of the node 16 in the power recovery process of the multi-feed DC system using the integrated control method of the present invention. As shown in Figure 4, the node voltage drop caused by the DC power recovery at each time step is within a safe range. After the reactive power compensation control, the node voltage returns to a level close to the rated voltage. The entire multi-feed DC system power recovery process Voltage safety is guaranteed, and the total time for DC power recovery is 20 minutes.
- Fig. 5 records the voltage change of the node 16 in the power recovery process of the multi-feed DC system without the integrated control method of the present invention. Each DC system recovers 10% of the power at each time step, and the reactive power compensation control is not performed in time.
- Figure 5 shows that because the comprehensive control method to ensure voltage safety is not adopted, as the power of the multi-infeed DC system is restored, the system voltage level is severely reduced, which seriously threatens the safety of the system; in addition, the total time for DC power restoration is 40 Minutes, which is greater than the total time required for DC power recovery using the integrated control method of the present invention. This reflects that the present invention has important guiding significance for improving the safety and efficiency of the recovery of the multi-infeed DC system.
- a comprehensive control system for ensuring voltage safety during the power recovery phase of a multi-feed DC system including:
- a device used to establish a reactive power compensation device increase investment optimization model aiming at the minimum square sum of the node voltage deviation according to the sensitivity matrix of the reactive power emitted by the reactive power compensation device according to the node voltage; After the completion of the one-time DC power recovery, the optimal increase of each reactive power compensation device is a device that minimizes the node voltage deviation caused by the DC power recovery.
- a terminal device which includes a processor and a computer-readable storage medium, where the processor is used to implement instructions; the computer-readable storage medium is used to store multiple instructions, and the instructions are suitable for The processor loads and executes the integrated control method for ensuring voltage safety during the power recovery phase of the multi-feed DC system described in the first embodiment.
- a computer-readable storage medium in which a plurality of instructions are stored, and the instructions are suitable for being loaded by a processor of a terminal device and executing the multi-feed DC system described in the first embodiment.
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Abstract
Disclosed are a comprehensive control method and system that ensure voltage safety in a power recovery stage of a multiple feed-in DC system, the method comprising: linearizing a power flow equation of an AC-DC system to obtain a sensitivity matrix of a node voltage with respect to DC transmission active power and reactive power emitted by a reactive compensation device. A DC power recovery optimization model is created with the node voltage deviation within a safe range as a constraint, and the model is solved to obtain an optimal power recovery amount at every time step for each DC system with voltage safety as a precondition; a reactive compensation device increase optimization model is created with a goal of minimal node voltage deviation, and the model is solved to obtain an optimal increase amount for each reactive compensation device after the DC power recovery is completed at every time step, so that the node voltage deviation caused by the DC power recovery is minimized. The present invention may provide online guidance for power recovery control of a multiple feed-in DC system, so as to fully ensure the voltage safety and recovery efficiency of the recovery process.
Description
本发明涉及直流系统功率恢复技术领域,尤其涉及一种多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法及系统。The invention relates to the technical field of DC system power recovery, and in particular to a comprehensive control method and system for ensuring voltage safety in a multi-feed DC system power recovery stage.
本部分的陈述仅仅是提供了与本发明相关的背景技术信息,不必然构成在先技术。The statements in this section merely provide background information related to the present invention, and do not necessarily constitute prior art.
由于多馈入直流系统中直流落点密集,电气耦合增强,其运行机理更加复杂。目前国内外电网应对多馈入直流系统大停电后的恢复操作的经验很少,一般为先恢复交流系统,最后恢复直流系统。然而直流系统有输送容量大、功率调节快的优势,在系统恢复过程中若能充分利用直流系统的恢复能力,将大大加快系统的恢复速度,因此针对多馈入直流系统的快速安全恢复方案的研究具有重要实际意义。Due to the dense DC drop points in the multi-feed DC system, the electrical coupling is enhanced, and its operating mechanism is more complicated. At present, domestic and foreign power grids have little experience in the recovery operation of multi-infeed DC systems after a blackout. Generally, the AC system is restored first, and the DC system is restored last. However, the DC system has the advantages of large transmission capacity and fast power adjustment. If the recovery capacity of the DC system can be fully utilized in the system recovery process, the recovery speed of the system will be greatly accelerated. Therefore, the rapid and safe recovery plan for the multi-feed DC system Research has important practical significance.
直流系统参与恢复需要满足一定的安全约束。目前对直流系统启动阶段的安全控制研究已经较为完善,能够解决直流系统启动的安全性。但针对直流系统启动后的功率恢复阶段的安全控制方案较为缺失。直流系统正常运行时就要消耗大量的无功,随着直流系统输送有功功率的增加,直流系统消耗的无功功率成比例地增加。因此在多馈入直流的功率恢复阶段,因系统无功功率不足而导致的交流电压降低问题十分显著。因此有必要关注多馈入直流系统功率恢复过程的电压安全性,给出保证电压安全性的综合恢复控制方案。Participation in the recovery of the DC system needs to meet certain safety constraints. At present, the safety control research on the start-up phase of the DC system has been relatively complete, which can solve the safety of the start-up of the DC system. However, the safety control scheme for the power recovery stage after the start of the DC system is relatively lacking. The DC system consumes a large amount of reactive power during normal operation. As the active power delivered by the DC system increases, the reactive power consumed by the DC system increases proportionally. Therefore, in the power recovery stage of multi-infeed DC, the problem of AC voltage drop caused by insufficient reactive power of the system is very significant. Therefore, it is necessary to pay attention to the voltage safety of the power recovery process of the multi-infeed DC system, and provide a comprehensive recovery control scheme to ensure the voltage safety.
发明内容Summary of the invention
为了解决多馈入直流系统功率恢复造成交流电压降低的问题,本发明提出了多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法及系统,可以保证多馈入直流系统功率恢复阶段的电压安全性并提高恢复效率。In order to solve the problem of AC voltage drop caused by the power recovery of the multi-infeed DC system, the present invention proposes a comprehensive control method and system for ensuring voltage safety during the power recovery stage of the multi-infeed DC system, which can ensure the power recovery stage of the multi-infeed DC system. Voltage safety and improve recovery efficiency.
在一些实施方式中,采用如下技术方案:In some embodiments, the following technical solutions are adopted:
多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法,包括:The comprehensive control method for ensuring voltage safety during the power recovery phase of the multi-infeed DC system includes:
根据每一时步的初始状态,建立交直流系统的潮流方程;According to the initial state of each time step, establish the power flow equation of the AC/DC system;
获得节点电压关于直流系统输送有功功率的灵敏度矩阵,以及节点电压关于无功补偿装置发出无功功率的灵敏度矩阵;Obtain the sensitivity matrix of the node voltage with respect to the active power delivered by the DC system, and the sensitivity matrix of the node voltage with respect to the reactive power emitted by the reactive power compensation device;
根据节点电压关于直流输送有功功率的灵敏度矩阵,建立以所有节点电压偏差量在安全范围内为约束的直流有功功率恢复优化模型,求解该模型得到每一时步在电压安全前提下的各直流系统的有功功率最优恢复量;According to the sensitivity matrix of the node voltage with respect to the DC transmission active power, an optimization model for the DC active power recovery is established with the deviation of all node voltages in the safe range as the constraint, and the model is solved to obtain the DC system's performance at each time step under the premise of voltage safety. The optimal recovery amount of active power;
根据节点电压关于无功补偿装置发出无功功率的灵敏度矩阵,建立以节点电压偏差量的平方和最小为目标的无功补偿装置增投量优化模型,求解该模型得到每一时步直流功率恢复完成后各无功补偿装置的最优增投量,使直流功率恢复造成的节点电压偏差降到最小。According to the sensitivity matrix of the node voltage with respect to the reactive power emitted by the reactive power compensation device, an optimization model for the increased investment of the reactive power compensation device with the goal of the minimum square sum of the node voltage deviation is established, and the model is solved to obtain the completion of the DC power recovery at each time step After the optimal increase of the reactive power compensation device, the node voltage deviation caused by the DC power recovery is minimized.
在另一些实施方式中,采用如下技术方案:In other embodiments, the following technical solutions are adopted:
多馈入直流系统功率恢复阶段保证电压安全性的综合控制系统,包括:A comprehensive control system that guarantees voltage safety during the power recovery phase of the multi-infeed DC system, including:
用于根据每一时步的初始状态,建立交直流系统的潮流方程的装置;A device used to establish the power flow equation of the AC/DC system according to the initial state of each time step;
用于获得节点电压关于直流系统输送有功功率的灵敏度矩阵的装置,以及用于节点电压关于无功补偿装置发出无功功率的灵敏度矩阵的装置;A device for obtaining the sensitivity matrix of the node voltage with respect to the active power delivered by the DC system, and a device for the sensitivity matrix of the node voltage with respect to the reactive power emitted by the reactive power compensation device;
用于根据节点电压关于直流输送有功功率的灵敏度矩阵,建立以所有节点电压偏差量在安全范围内为约束的直流有功功率恢复优化模型的装置;用于求 解该模型得到每一时步在电压安全前提下的各直流系统的有功功率最优恢复量的装置;A device used to establish a DC active power recovery optimization model with all node voltage deviations within a safe range based on the sensitivity matrix of the node voltage with respect to the DC transmission active power; used to solve the model to obtain the voltage safety premise at each time step The device for the optimal recovery amount of active power of each DC system below;
用于根据节点电压关于无功补偿装置发出无功功率的灵敏度矩阵,建立以节点电压偏差量的平方和最小为目标的无功补偿装置增投量优化模型的装置;用于求解该模型得到每一时步直流功率恢复完成后各无功补偿装置的最优增投量,使直流功率恢复造成的节点电压偏差降到最小的装置。A device used to establish a reactive power compensation device increase investment optimization model aiming at the minimum square sum of the node voltage deviation according to the sensitivity matrix of the reactive power emitted by the reactive power compensation device according to the node voltage; After the completion of the one-time DC power recovery, the optimal increase of each reactive power compensation device is a device that minimizes the node voltage deviation caused by the DC power recovery.
在另一些实施方式中,采用如下技术方案:In other embodiments, the following technical solutions are adopted:
一种终端设备,其包括处理器和计算机可读存储介质,处理器用于实现各指令;计算机可读存储介质用于存储多条指令,所述指令适于由处理器加载并执行上述的多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法。A terminal device, which includes a processor and a computer-readable storage medium, the processor is used to implement each instruction; the computer-readable storage medium is used to store a plurality of instructions, the instructions are suitable for being loaded by the processor and executing the above-mentioned multi-feed A comprehensive control method to ensure voltage safety during the power recovery phase of the DC system.
在另一些实施方式中,采用如下技术方案:In other embodiments, the following technical solutions are adopted:
一种计算机可读存储介质,其中存储有多条指令,所述指令适于由终端设备的处理器加载并执行上述的多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法。A computer-readable storage medium stores a plurality of instructions, and the instructions are suitable for being loaded by a processor of a terminal device and executing the above-mentioned comprehensive control method for ensuring voltage safety during the power recovery phase of a multi-feed DC system.
与现有技术相比,本发明的有益效果是:Compared with the prior art, the beneficial effects of the present invention are:
本发明方法能够解决直流系统功率恢复造成交流电压下降的问题;在恢复的每一个时步内,该方法对直流系统有功功率的恢复量进行优化,在保证系统电压安全性的前提下提高恢复效率,然后对无功补偿装置的增投量进行优化以最小化直流功率恢复引起的各节点的电压偏差量,保持系统电压的恒定。The method of the present invention can solve the problem of AC voltage drop caused by the power recovery of the DC system; in each time step of the recovery, the method optimizes the recovery amount of the active power of the DC system, and improves the recovery efficiency under the premise of ensuring the safety of the system voltage , And then optimize the increased investment of the reactive power compensation device to minimize the voltage deviation of each node caused by the recovery of DC power, and to keep the system voltage constant.
图1是本发明实施例一中多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法流程图;Fig. 1 is a flow chart of a comprehensive control method for ensuring voltage safety during the power recovery phase of a multi-feed DC system in the first embodiment of the present invention;
图2是本发明实施例一中的方法迭代流程图;Figure 2 is an iterative flow chart of the method in the first embodiment of the present invention;
图3是本发明实施例一中电力系统结构图;Figure 3 is a structural diagram of the power system in the first embodiment of the present invention;
图4为采用本发明的综合控制方法的直流功率恢复阶段的节点电压变化曲线;Fig. 4 is a curve of node voltage change in the DC power recovery phase using the integrated control method of the present invention;
图5为未采用本发明的综合控制方法的直流功率恢复阶段的节点电压变化曲线。Fig. 5 is a curve of node voltage change in the DC power recovery stage without the integrated control method of the present invention.
应该指出,以下详细说明都是例示性的,旨在对本申请提供进一步的说明。除非另有指明,本发明使用的所有技术和科学术语具有与本申请所属技术领域的普通技术人员通常理解的相同含义。It should be pointed out that the following detailed descriptions are all illustrative and are intended to provide further explanations for the application. Unless otherwise specified, all technical and scientific terms used in the present invention have the same meaning as commonly understood by those of ordinary skill in the technical field to which the present application belongs.
需要注意的是,这里所使用的术语仅是为了描述具体实施方式,而非意图限制根据本申请的示例性实施方式。如在这里所使用的,除非上下文另外明确指出,否则单数形式也意图包括复数形式,此外,还应当理解的是,当在本说明书中使用术语“包含”和/或“包括”时,其指明存在特征、步骤、操作、器件、组件和/或它们的组合。It should be noted that the terms used here are only for describing specific embodiments, and are not intended to limit the exemplary embodiments according to the present application. As used herein, unless the context clearly indicates otherwise, the singular form is also intended to include the plural form. In addition, it should also be understood that when the terms "comprising" and/or "including" are used in this specification, they indicate There are features, steps, operations, devices, components, and/or combinations thereof.
实施例一Example one
多馈入直流系统功率恢复过程中系统的无功水平为影响节点电压的主要因素。因此决定节点电压的变量为:直流逆变器吸收的无功功率和无功补偿装置发出的无功功率功率。而直流系统吸收的无功功率与直流系统恢复的有功功率直接相关,所以通过对每一时步各直流系统功率恢复量的合理调控可以保证节点的电压安全并提高恢复速度;每一时步直流功率恢复完成后必然会造成一定的电压偏差,通过合理增投系统中的无功补偿设备能够最小化直流功率恢复引 起的电压偏差,保持电压的恒定。此外,多馈入直流系统存在直流系统间的相互影响,如何准确计及直流系统间的相互作用,对可靠保证多馈入直流系统功率恢复过程的电压安全性具有重要意义。The reactive power level of the system during the power recovery process of the multi-infeed DC system is the main factor that affects the node voltage. Therefore, the variables that determine the node voltage are: the reactive power absorbed by the DC inverter and the reactive power generated by the reactive compensation device. The reactive power absorbed by the DC system is directly related to the active power recovered by the DC system. Therefore, reasonable regulation of the power recovery of each DC system at each time step can ensure the safety of the node voltage and improve the recovery speed; DC power recovery at each time step After completion, a certain voltage deviation will inevitably be caused, and the voltage deviation caused by the recovery of the DC power can be minimized through a reasonable increase in the reactive power compensation equipment in the system, and the voltage can be kept constant. In addition, the multi-infeed DC system has mutual influences between the DC systems. How to accurately account for the interaction between the DC systems is of great significance to reliably guarantee the voltage safety of the multi-infeed DC system power recovery process.
在一个或多个实施例中,公开了一种多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法,如图1和图2所示,该方法分多个时步进行,每一时步包括以下步骤:In one or more embodiments, a comprehensive control method for ensuring voltage safety during the power recovery phase of a multi-feed DC system is disclosed. As shown in Figures 1 and 2, the method is carried out in multiple time steps. The steps include the following steps:
(1)根据每一时步的初始状态,建立交直流系统的潮流方程;(1) According to the initial state of each time step, establish the power flow equation of the AC and DC system;
(2)获得节点电压关于直流系统输送有功功率的灵敏度矩阵,以及节点电压关于无功补偿装置发出无功功率的灵敏度矩阵;(2) Obtain the sensitivity matrix of the node voltage with respect to the active power delivered by the DC system, and the sensitivity matrix of the node voltage with respect to the reactive power emitted by the reactive power compensation device;
(3)根据节点电压关于直流输送有功功率的灵敏度矩阵,建立以所有节点电压偏差量在安全范围内为约束的直流有功功率恢复优化模型,求解该模型得到每一时步在电压安全前提下的各直流系统的有功功率最优恢复量;(3) According to the sensitivity matrix of the node voltage with respect to the DC transmission active power, establish a DC active power recovery optimization model with all node voltage deviations in the safe range as the constraint, and solve the model to obtain the various values at each time step under the premise of voltage safety. The optimal recovery amount of active power of the DC system;
(4)根据节点电压关于无功补偿装置发出无功功率的灵敏度矩阵,建立以节点电压偏差量的平方和最小为目标的无功补偿装置增投量优化模型,求解该模型得到每一时步直流功率恢复完成后各无功补偿装置的最优增投量,使直流功率恢复造成的节点电压偏差降到最小。(4) According to the sensitivity matrix of the reactive power emitted by the reactive power compensation device based on the node voltage, an optimization model for the increased investment of the reactive power compensation device with the goal of the minimum square sum of the node voltage deviation is established, and the model is solved to obtain the DC at each time step. After the power recovery is completed, the optimal increase of the reactive power compensation devices minimizes the node voltage deviation caused by the DC power recovery.
其中,步骤(1)中,交直流系统的潮流方程由交流系统潮流方程和直流系统运行方程组成。交流系统潮流方程的形式为:Among them, in step (1), the power flow equation of the AC and DC system is composed of the power flow equation of the AC system and the operation equation of the DC system. The form of the power flow equation of the AC system is:
P
G,i-P
L,i-P
a,i=0
P G,i -P L,i -P a,i =0
Q
G,i-Q
L,i-Q
a,i=0
Q G,i -Q L,i -Q a,i =0
其中,P
G,i、Q
G,i为交流发电机组向节点i发出的有功功率和无功功率;P
L,i、Q
L,i为节点i的负荷消耗的有功功率和无功功率;P
a,i、Q
a,i为注入交流节点i的有功功 率和无功功率,其计算形式为:
Among them, P G,i and Q G,i are the active power and reactive power sent by the AC generator set to node i; P L,i and Q L,i are the active power and reactive power consumed by the load of node i; P a,i and Q a,i are the active power and reactive power injected into the AC node i, and the calculation form is:
其中,U
i、U
j为节点i、j的电压,G
ij、δ
ij、B
ij分别为节点i、j之间的电导、功角差、电纳。
Among them, U i and U j are the voltages of nodes i and j, and G ij , δ ij and B ij are the conductance, power angle difference, and susceptance between nodes i and j, respectively.
直流系统的运行方程形式如下:The operating equation form of the DC system is as follows:
根据直流系统在不同控制方式下的控制方程,可得到直流系统在确定的控制参数下的运行方程。According to the control equations of the DC system under different control modes, the operating equations of the DC system under certain control parameters can be obtained.
P
d,i=f(U
i,δ
i)
P d,i =f(U i ,δ i )
其中,P
d,i为馈入节点i的直流系统注入的有功功率,Q
d,i为馈入节点i的直流系统注入的无功功率;
为馈入节点i的直流系统逆变器的功率因数角;δ
i为节点i的功角。
Among them, P d,i is the active power injected by the DC system fed into node i, and Q d,i is the reactive power injected by the DC system fed into node i; Is the power factor angle of the DC system inverter fed into node i; δ i is the power angle of node i.
直流系统的运行方程定量表达了直流输出的有功功率和无功功率与换流母线的电压幅值和相角的关系。The operating equation of the DC system quantitatively expresses the relationship between the active power and reactive power of the DC output and the voltage amplitude and phase angle of the commutation bus.
在换流母线处运用功率平衡方程,可得到交直流系统的潮流方程。交直流系统潮流方程的形式如下:Using the power balance equation at the converter bus, the power flow equation of the AC and DC system can be obtained. The form of the power flow equation of the AC/DC system is as follows:
P
G,i+P
d,i-P
L,i-P
a,i=0
P G,i +P d,i -P L,i -P a,i =0
Q
G,i+Q
d,i-Q
L,i-Q
a,i=0
Q G,i +Q d,i -Q L,i -Q a,i = 0
步骤(2)中,通过交直流系统潮流方程获得节点电压对直流输送有功功率的灵敏度矩阵和节点电压对无功补偿装置发出无功功率的灵敏度矩阵。In step (2), the sensitivity matrix of the node voltage to the active power of DC transmission and the sensitivity matrix of the node voltage to the reactive power emitted by the reactive power compensation device are obtained through the power flow equation of the AC and DC system.
为计算节点电压关于直流输送有功功率的灵敏度矩阵,需要根据直流逆变器的功率因数将直流系统吸收的无功功率用直流系统输送的有功功率进行表示,然后代入到节点电压关于节点注入无功功率的灵敏度矩阵中,整理可得节点电压对直流输送有功功率的灵敏度矩阵。In order to calculate the sensitivity matrix of the node voltage with respect to the active power of the DC transmission, the reactive power absorbed by the DC system needs to be represented by the active power transmitted by the DC system according to the power factor of the DC inverter, and then substituted into the node voltage. In the power sensitivity matrix, sort the available node voltage sensitivity matrix to the DC transmission active power.
无功补偿装置发出的无功即为节点注入的无功,从而节点电压对节点注入无功的灵敏度矩阵即为节点电压对无功补偿装置发出无功的灵敏度矩阵。The reactive power emitted by the reactive power compensation device is the reactive power injected by the node, and the sensitivity matrix of the node voltage to the reactive power injected into the node is the sensitivity matrix of the node voltage to the reactive power emitted by the reactive power compensation device.
首先利用交直流潮流方程对各节点电压的幅值和相角求偏导获得交直流系统的潮流雅克比矩阵,形式如下:First, use the AC/DC power flow equation to obtain the partial derivative of the voltage amplitude and phase angle of each node to obtain the power flow Jacobian matrix of the AC/DC system. The form is as follows:
式中,J
Pδ、J
PU、J
Qδ和J
QU分别为雅克比矩阵的相应分块矩阵。只考虑无功功率与电压幅值的作用关系,从而将交直流系统潮流雅克比矩阵化为降维矩阵:
In the formula, J Pδ , J PU , J Qδ and J QU are the corresponding block matrices of the Jacobian matrix respectively. Only consider the relationship between reactive power and voltage amplitude, so that the AC/DC system power flow Jacobian matrix is transformed into a dimensionality reduction matrix:
ΔQ=J
QUΔU;
ΔQ=J QU ΔU;
对上式求逆可得节点电压对无功功率的灵敏度方程为:Reverse the above formula to get the sensitivity equation of node voltage to reactive power:
其中,
为节点电压对无功功率的灵敏度矩阵。通过节点电压对无功功率的灵敏度矩阵可得节点电压对直流输送有功功率的灵敏度方程为:
among them, Is the sensitivity matrix of node voltage to reactive power. Through the sensitivity matrix of node voltage to reactive power, the sensitivity equation of node voltage to DC transmission active power can be obtained as:
式中,
为馈入节点i的直流系统逆变器的功率因数角;
为节点电压对直流输送有功功率的灵敏度矩阵;ΔP
d为直流功率的恢复量。
Where Is the power factor angle of the DC system inverter fed into node i; Is the sensitivity matrix of the node voltage to the DC transmission active power; ΔP d is the recovery amount of the DC power.
通过节点电压对无功功率的灵敏度矩阵可得节点电压对无功补偿装置发出无功功率的灵敏度方程为:Through the sensitivity matrix of node voltage to reactive power, the sensitivity equation of node voltage to reactive power emitted by reactive power compensation device can be obtained as:
式中,ΔQ
c为无功补偿装置的无功增发量。
In the formula, ΔQ c is the increased reactive power of the reactive power compensation device.
步骤(3)中,以节点电压偏差在安全范围内为约束的直流输送有功功率恢复优化模型的建立过程如下:In step (3), the establishment process of the DC transmission active power recovery optimization model constrained by the node voltage deviation within the safe range is as follows:
决策变量为ΔP
d,i,即各直流系统每一时步的有功功率恢复量。
The decision variable is ΔP d,i , that is, the amount of active power recovery of each DC system at each time step.
优化目标为每时步直流功率恢复量最大:The optimization goal is to maximize the amount of DC power recovery per time step:
等式约束为节点电压对直流输送有功功率的灵敏度方程:The equation constraint is the sensitivity equation of the node voltage to the active power of DC transmission:
不等式约束为直流功率上限约束和节点电压安全范围约束:The inequality constraints are the DC power upper limit constraint and the node voltage safety range constraint:
P
d,i+ΔP
d,i≤P
dmax,i
P d,i +ΔP d,i ≤P dmax,i
U
i+ΔU
i>0.9U
N
U i +ΔU i >0.9U N
式中,P
dmax,i为直流输送功率的上限;U
N,i为节点i的额定电压,0.9U
N,i为节点电压的安全下限。
In the formula, P dmax,i is the upper limit of DC transmission power; U N,i is the rated voltage of node i, and 0.9U N,i is the safe lower limit of node voltage.
进一步的,以节点电压偏差在安全范围内为约束的直流输送有功功率恢复优化模型可通过CPLEX的线性规划功能进行求解,得到以节点电压在安全范围内为前提的每一时步的各直流系统最优恢复功率。将计算结果下发到各直流系统的控制器进行直流有功功率的恢复控制。Furthermore, the DC transmission active power recovery optimization model constrained by the node voltage deviation within the safe range can be solved by the linear programming function of CPLEX, and the maximum value of each DC system at each time step is obtained on the premise that the node voltage is within the safe range. Excellent recovery power. The calculation results are sent to the controllers of each DC system for DC active power recovery control.
步骤(4)中,以节点电压偏差值的平方和最小为目标的无功补偿装置增投量的优化模型的建立过程如下:In step (4), the establishment process of the optimization model of the increased investment of the reactive power compensation device with the goal of the minimum square sum of the node voltage deviation value is as follows:
决策变量为ΔQ
C,i,即每一时步直流功率恢复完成后每个节点无功补偿装置的增投量。
The decision variable is ΔQ C,i , that is, the increased investment of each node reactive power compensation device after the completion of the DC power recovery at each time step.
优化目标为节点电压的偏差值平方和最小:
The optimization goal is to minimize the sum of squared deviations of the node voltage:
等式约束为节点电压对无功补偿装置发出无功功率的灵敏度方程:
The equation constraint is the sensitivity equation of the node voltage to the reactive power emitted by the reactive power compensation device:
不等式约束为无功补偿装置的容量上限约束:Q
C,i+ΔQ
C,i≤Q
Cmax,i。
The inequality constraint is the upper limit constraint on the capacity of the reactive power compensation device: Q C,i +ΔQ C,i ≤Q Cmax,i .
式中,Q
Cmax,i为无功补偿装置的容量上限。
In the formula, Q Cmax,i is the upper limit of the capacity of the reactive power compensation device.
进一步的,以节点电压偏差值的平方和最小为目标的无功补偿装置增投量的优化模型可通过CPLEX的线性规划功能进行求解,得到每一时步直流功率恢复完成后无功补偿装置的最优增投量,使直流功率恢复造成的节点电压偏差降到最小。将计算结果下发到各变电站的无功补偿设备控制器,进行无功补偿控制。Further, the optimization model of the increased investment of the reactive power compensation device with the goal of the minimum square sum of the node voltage deviation value can be solved by the linear programming function of CPLEX, and the maximum value of the reactive power compensation device after the completion of the DC power recovery at each time step is obtained. Optimal increase in investment volume minimizes the node voltage deviation caused by DC power recovery. The calculation result is sent to the reactive power compensation equipment controller of each substation for reactive power compensation control.
本实施例以图3所示的4直流馈入39节点系统为例,对本发明的具体实现过程进行进一步说明。In this embodiment, the 4-DC fed 39-node system shown in FIG. 3 is taken as an example to further illustrate the specific implementation process of the present invention.
本实施例电力系统的形成方法为在IEEE-39节点标准电力系统上进行改进,将节点35、36、37和38的发电机组修改为馈入的直流系统;图3中的虚线表示还未恢复的线路或母线;设各直流系统在功率恢复阶段的初始功率为10%的额定功率,在t=0时刻开始恢复,时步长度为5min。本实例具体实现过程包括:The formation method of the power system in this embodiment is to improve on the IEEE-39 node standard power system, and modify the generator sets at nodes 35, 36, 37, and 38 to feed-in DC systems; the dotted line in Figure 3 indicates that it has not been restored It is assumed that the initial power of each DC system in the power recovery phase is 10% of the rated power, and the recovery starts at t=0, and the time step length is 5min. The specific implementation process of this example includes:
(1)获取每一时步初始的电网信息,包括节点电压、负荷功率、发电机功率、直流控制参数、直流输送功率和无功补偿装置投入量,形成交直流系统潮流方程。(1) Obtain the initial power grid information at each time step, including node voltage, load power, generator power, DC control parameters, DC transmission power and reactive power compensation device input to form the AC and DC system power flow equation.
(2)对交直流系统潮流方程求偏导得到潮流雅克比矩阵,提取反映节点电压对无功功率影响的分块矩阵进行求逆运算得到节点电压关于无功功率的灵敏度矩阵,进一步得到节点电压关于直流输送有功功率的灵敏度矩阵和节 点电压关于无功补偿装置发出无功功率的灵敏度矩阵。(2) Obtain the partial derivative of the power flow equation of the AC and DC system to obtain the power flow Jacobian matrix, extract the block matrix reflecting the influence of the node voltage on the reactive power, and perform the inverse operation to obtain the sensitivity matrix of the node voltage with respect to the reactive power, and further obtain the node voltage The sensitivity matrix of the active power of DC transmission and the sensitivity matrix of the node voltage of the reactive power emitted by the reactive power compensation device.
(3)利用节点电压关于直流输送有功功率的灵敏度矩阵建立直流功率恢复优化模型,采用CPLEX对模型进行求解,得到满足电压安全的前提下的各直流系统最优功率恢复量,下发到各直流换流站控制器按优化结果执行功率恢复控制。(3) Use the sensitivity matrix of the node voltage with respect to the active power of the DC transmission to establish a DC power recovery optimization model, and use CPLEX to solve the model to obtain the optimal power recovery amount of each DC system under the premise of voltage safety, and send it to each DC The converter station controller executes power recovery control according to the optimized results.
(4)利用节点电压关于无功补偿装置发出有功功率的灵敏度矩阵建立无功补偿装置增投量优化模型,采用CPLEX对模型进行求解,得到使直流功率恢复导致的电压偏差量最小的无功补偿装置最优增投方案,下发到各变电站无功补偿控制器按优化结果执行无功补偿控制。(4) Use the sensitivity matrix of the node voltage with respect to the active power emitted by the reactive power compensation device to establish an optimization model for the increased investment of the reactive power compensation device, and use CPLEX to solve the model to obtain the reactive power compensation that minimizes the voltage deviation caused by the DC power recovery The optimal increase investment plan of the device is issued to the reactive power compensation controller of each substation to execute the reactive power compensation control according to the optimized result.
若4条直流系统功率未全部恢复,则进入下一时步的优化控制;若4条直流功率全部恢复,则多馈入直流系统功率恢复阶段结束。If all 4 DC system powers are not restored, then enter the next time step of optimal control; if all 4 DC powers are restored, the multi-feed DC system power recovery phase ends.
将节点16设为实施例系统的中枢节点,每一步操作后利用潮流计算软件计算节点16的电压反映系统的总体电压水平。图4记录了采用本发明的综合控制方法的多馈入直流系统功率恢复过程的节点16的电压变化。如图4所示,每一时步直流功率恢复造成的节点电压下降都在安全范围内,经过无功补偿控制后节点电压又恢复到接近额定电压的水平,整个多馈入直流系统功率恢复过程的电压安全性得到了保证,直流功率恢复总耗时为20分钟。图5记录了未采用本发明的综合控制方法的多馈入直流系统功率恢复过程的节点16的电压变化,每一时步各直流系统都恢复10%的功率,未及时进行无功补偿控制。The node 16 is set as the central node of the system in the embodiment, and after each operation, the voltage of the node 16 is calculated by the power flow calculation software to reflect the overall voltage level of the system. FIG. 4 records the voltage change of the node 16 in the power recovery process of the multi-feed DC system using the integrated control method of the present invention. As shown in Figure 4, the node voltage drop caused by the DC power recovery at each time step is within a safe range. After the reactive power compensation control, the node voltage returns to a level close to the rated voltage. The entire multi-feed DC system power recovery process Voltage safety is guaranteed, and the total time for DC power recovery is 20 minutes. Fig. 5 records the voltage change of the node 16 in the power recovery process of the multi-feed DC system without the integrated control method of the present invention. Each DC system recovers 10% of the power at each time step, and the reactive power compensation control is not performed in time.
图5显示,由于未采用保证电压安全性的综合控制方法,随着多馈入直流系统功率的恢复,系统电压水平严重下降,严重威胁了系统的运行安全; 此外直流功率恢复总耗时为40分钟,大于采用本发明的综合控制方法的直流功率恢复总耗时。由此体现了本发明对提高多馈入直流系统参与恢复的安全性和高效性有重要指导意义。Figure 5 shows that because the comprehensive control method to ensure voltage safety is not adopted, as the power of the multi-infeed DC system is restored, the system voltage level is severely reduced, which seriously threatens the safety of the system; in addition, the total time for DC power restoration is 40 Minutes, which is greater than the total time required for DC power recovery using the integrated control method of the present invention. This reflects that the present invention has important guiding significance for improving the safety and efficiency of the recovery of the multi-infeed DC system.
实施例二Example two
在一个或多个实施方式中,公开了一种多馈入直流系统功率恢复阶段保证电压安全性的综合控制系统,包括:In one or more embodiments, a comprehensive control system for ensuring voltage safety during the power recovery phase of a multi-feed DC system is disclosed, including:
用于根据每一时步的初始状态,建立交直流系统的潮流方程的装置;A device used to establish the power flow equation of the AC/DC system according to the initial state of each time step;
用于获得节点电压关于直流系统输送有功功率的灵敏度矩阵的装置,以及用于节点电压关于无功补偿装置发出无功功率的灵敏度矩阵的装置;A device for obtaining the sensitivity matrix of the node voltage with respect to the active power delivered by the DC system, and a device for the sensitivity matrix of the node voltage with respect to the reactive power emitted by the reactive power compensation device;
用于根据节点电压关于直流输送有功功率的灵敏度矩阵,建立以所有节点电压偏差量在安全范围内为约束的直流有功功率恢复优化模型的装置;用于求解该模型得到每一时步在电压安全前提下的各直流系统的有功功率最优恢复量的装置;A device used to establish a DC active power recovery optimization model with all node voltage deviations within a safe range based on the sensitivity matrix of the node voltage with respect to the DC transmission active power; used to solve the model to obtain the voltage safety premise at each time step The device for the optimal recovery amount of active power of each DC system below;
用于根据节点电压关于无功补偿装置发出无功功率的灵敏度矩阵,建立以节点电压偏差量的平方和最小为目标的无功补偿装置增投量优化模型的装置;用于求解该模型得到每一时步直流功率恢复完成后各无功补偿装置的最优增投量,使直流功率恢复造成的节点电压偏差降到最小的装置。A device used to establish a reactive power compensation device increase investment optimization model aiming at the minimum square sum of the node voltage deviation according to the sensitivity matrix of the reactive power emitted by the reactive power compensation device according to the node voltage; After the completion of the one-time DC power recovery, the optimal increase of each reactive power compensation device is a device that minimizes the node voltage deviation caused by the DC power recovery.
在另一些实施方式中,公开了一种终端设备,其包括处理器和计算机可读存储介质,处理器用于实现各指令;计算机可读存储介质用于存储多条指令,所述指令适于由处理器加载并执行实施例一中所述的多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法。In other embodiments, a terminal device is disclosed, which includes a processor and a computer-readable storage medium, where the processor is used to implement instructions; the computer-readable storage medium is used to store multiple instructions, and the instructions are suitable for The processor loads and executes the integrated control method for ensuring voltage safety during the power recovery phase of the multi-feed DC system described in the first embodiment.
在另一些实施方式中,公开了一种计算机可读存储介质,其中存储有多条 指令,所述指令适于由终端设备的处理器加载并执行实施例一中所述的多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法。In other embodiments, a computer-readable storage medium is disclosed, in which a plurality of instructions are stored, and the instructions are suitable for being loaded by a processor of a terminal device and executing the multi-feed DC system described in the first embodiment. A comprehensive control method to ensure voltage safety during the power recovery phase.
上述虽然结合附图对本发明的具体实施方式进行了描述,但并非对本发明保护范围的限制,所属领域技术人员应该明白,在本发明的技术方案的基础上,本领域技术人员不需要付出创造性劳动即可做出的各种修改或变形仍在本发明的保护范围以内。Although the specific embodiments of the present invention are described above in conjunction with the accompanying drawings, they do not limit the scope of protection of the present invention. Those skilled in the art should understand that on the basis of the technical solutions of the present invention, those skilled in the art do not need to make creative efforts. Various modifications or variations that can be made are still within the protection scope of the present invention.
Claims (10)
- 多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法,其特征在于,包括:The comprehensive control method for ensuring voltage safety during the power recovery phase of the multi-infeed DC system is characterized in that it includes:根据每一时步的初始状态,建立交直流系统的潮流方程;According to the initial state of each time step, establish the power flow equation of the AC/DC system;获得节点电压关于直流系统输送有功功率的灵敏度矩阵,以及节点电压关于无功补偿装置发出无功功率的灵敏度矩阵;Obtain the sensitivity matrix of the node voltage with respect to the active power delivered by the DC system, and the sensitivity matrix of the node voltage with respect to the reactive power emitted by the reactive power compensation device;根据节点电压关于直流输送有功功率的灵敏度矩阵,建立以所有节点电压偏差量在安全范围内为约束的直流有功功率恢复优化模型,求解该模型得到每一时步在电压安全前提下的各直流系统的有功功率最优恢复量;According to the sensitivity matrix of the node voltage with respect to the DC transmission active power, an optimization model for the DC active power recovery is established with the deviation of all node voltages in the safe range as the constraint, and the model is solved to obtain the DC system's performance at each time step under the premise of voltage safety. The optimal recovery amount of active power;根据节点电压关于无功补偿装置发出无功功率的灵敏度矩阵,建立以节点电压偏差量的平方和最小为目标的无功补偿装置增投量优化模型,求解该模型得到每一时步直流功率恢复完成后各无功补偿装置的最优增投量,使直流功率恢复造成的节点电压偏差降到最小。According to the sensitivity matrix of the node voltage with respect to the reactive power emitted by the reactive power compensation device, an optimization model for the increased investment of the reactive power compensation device with the goal of the minimum square sum of the node voltage deviation is established, and the model is solved to obtain the completion of the DC power recovery at each time step After the optimal increase of the reactive power compensation device, the node voltage deviation caused by the DC power recovery is minimized.
- 如权利要求1所述的多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法,其特征在于,建立交直流系统的潮流方程的过程具体为:The comprehensive control method for ensuring voltage safety during the power recovery phase of the multi-infeed DC system according to claim 1, wherein the process of establishing the power flow equation of the AC and DC system is specifically:根据交流发电机组向节点i发出的有功功率和无功功率从、节点i的负荷消耗的有功功率合无功功率以及注入交流节点i的有功功率合无功功率之间的关系,建立交流系统潮流方程;According to the relationship between the active power and reactive power sent by the AC generator set to node i, the active power and reactive power consumed by the load of node i, and the active power and reactive power injected into the AC node i, establish the AC system flow equation;根据直流输出的有功功率和无功功率分别与换流母线的电压幅值和相角之间的关系,建立直流系统的运行方程;According to the relationship between the active power and reactive power of the DC output and the voltage amplitude and phase angle of the commutation bus, the operating equation of the DC system is established;在换流母线处根据交流系统潮流方程与直流系统的运行方程建立功率平衡方程,得到交直流系统的潮流方程。At the converter bus, the power balance equation is established according to the power flow equation of the AC system and the operating equation of the DC system, and the power flow equation of the AC and DC system is obtained.
- 如权利要求1所述的多馈入直流系统功率恢复阶段保证电压安全性的综 合控制方法,其特征在于,获得节点电压关于直流系统输送有功功率的灵敏度矩阵,具体为:The comprehensive control method for ensuring voltage safety during the power recovery phase of the multi-infeed DC system according to claim 1, wherein the obtaining a sensitivity matrix of the node voltage with respect to the active power delivered by the DC system is specifically:利用交直流潮流方程对各节点电压的幅值和相角求偏导获得交直流系统的潮流雅克比矩阵;提取雅克比矩阵中反映节点电压幅值对节点注入无功功率影响的分块矩阵进行求逆运算得到节点电压关于节点注入无功的灵敏度矩阵;Use the AC/DC power flow equation to obtain the partial derivative of the voltage amplitude and phase angle of each node to obtain the power flow Jacobian matrix of the AC/DC system; extract the block matrix reflecting the influence of the node voltage amplitude on the reactive power injected into the node from the Jacobian matrix Inverse operation obtains the sensitivity matrix of node voltage with respect to node injection reactive power;根据直流逆变器的功率因数将直流系统吸收的无功功率用直流系统输送的有功功率进行表示,然后代入到节点电压关于节点注入无功功率的灵敏度矩阵中,得到节点电压关于直流系统输送有功功率的灵敏度矩阵。According to the power factor of the DC inverter, the reactive power absorbed by the DC system is represented by the active power delivered by the DC system, and then substituted into the sensitivity matrix of the node voltage with respect to the reactive power injected by the node to obtain the node voltage with respect to the active power delivered by the DC system Power sensitivity matrix.
- 如权利要求1所述的多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法,其特征在于,获得节点电压关于无功补偿装置发出无功功率的灵敏度矩阵,具体为:The comprehensive control method for ensuring voltage safety during the power recovery phase of the multi-infeed DC system according to claim 1, wherein obtaining the sensitivity matrix of the node voltage with respect to the reactive power emitted by the reactive power compensation device is specifically:利用交直流潮流方程对各节点电压的幅值和相角求偏导获得交直流系统的潮流雅克比矩阵;提取雅克比矩阵中反映节点电压幅值对节点注入无功功率影响的分块矩阵进行求逆运算得到节点电压关于节点注入无功的灵敏度矩阵,即为节点电压关于无功补偿装置发出无功功率的灵敏度矩阵。Use the AC/DC power flow equation to obtain the partial derivative of the voltage amplitude and phase angle of each node to obtain the power flow Jacobian matrix of the AC/DC system; extract the block matrix reflecting the influence of the node voltage amplitude on the reactive power injected into the node from the Jacobian matrix The inversion operation obtains the sensitivity matrix of the node voltage with respect to the reactive power injected into the node, that is, the sensitivity matrix of the node voltage with respect to the reactive power emitted by the reactive power compensation device.
- 如权利要求1所述的多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法,其特征在于,建立以所有节点电压偏差量在安全范围内为约束的直流有功功率恢复优化模型,具体为:The comprehensive control method for ensuring voltage safety during the power recovery phase of the multi-infeed DC system according to claim 1, characterized in that an optimization model for DC active power recovery is established with the voltage deviations of all nodes within a safe range as a constraint, specifically for:以各直流系统每一时步的功率恢复量为决策变量;以每个时步的直流有功功率恢复量最大为优化目标;以节点电压关于直流输送有功功率的灵敏度方程为等式约束;以各节点的电压偏差量在安全范围内的约束以及直流系统功率恢复上限约束作为不等式约束,建立直流有功功率恢复优化模型。Take the power recovery amount of each time step of each DC system as the decision variable; take the maximum DC active power recovery amount of each time step as the optimization goal; take the sensitivity equation of the node voltage with respect to the DC transmission active power as the equation constraint; take each node The constraint that the voltage deviation is within the safe range and the upper limit constraint of the DC system power recovery are used as inequality constraints, and the DC active power recovery optimization model is established.
- 如权利要求1所述的多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法,其特征在于,建立以节点电压偏差量的平方和最小为目标的无功补偿装置增投量优化模型,具体为:The integrated control method for ensuring voltage safety during the power recovery phase of the multi-infeed DC system as claimed in claim 1, characterized in that an optimization model for the increased investment of the reactive power compensation device with the goal of the minimum square sum of the node voltage deviations is established ,Specifically:以每一时步直流功率恢复完成后无功补偿装置的增投量为决策变量;以直流功率恢复造成的节点电压偏差量的平方和最小为优化目标;以节点电压关于无功补偿装置发出无功功率的灵敏度方程为等式约束;以无功补偿装置发出无功功率的上限为不等式约束,建立无功补偿装置增投量优化模型。Regarding the increased investment of the reactive power compensation device after the completion of the DC power recovery at each time step as the decision variable; taking the minimum square sum of the node voltage deviation caused by the DC power recovery as the optimization objective; taking the node voltage to generate reactive power with respect to the reactive power compensation device The power sensitivity equation is an equation constraint; the upper limit of the reactive power emitted by the reactive power compensation device is an inequality constraint, and an optimization model for the increased investment of the reactive power compensation device is established.
- 如权利要求1所述的多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法,其特征在于,所述有功功率恢复优化模型和无功补偿装置增投量优化模型的求解均采用CPLEX的线性规划功能进行求解。The comprehensive control method for ensuring voltage safety during the power recovery phase of the multi-infeed DC system according to claim 1, wherein the active power recovery optimization model and the reactive power compensation device increase investment optimization model are solved by CPLEX The linear programming function is used to solve the problem.
- 多馈入直流系统功率恢复阶段保证电压安全性的综合控制系统,其特征在于,包括:The integrated control system for ensuring voltage safety during the power recovery phase of the multi-infeed DC system is characterized in that it includes:用于根据每一时步的初始状态,建立交直流系统的潮流方程的装置;A device used to establish the power flow equation of the AC/DC system according to the initial state of each time step;用于获得节点电压关于直流系统输送有功功率的灵敏度矩阵的装置,以及用于节点电压关于无功补偿装置发出无功功率的灵敏度矩阵的装置;A device for obtaining the sensitivity matrix of the node voltage with respect to the active power delivered by the DC system, and a device for the sensitivity matrix of the node voltage with respect to the reactive power emitted by the reactive power compensation device;用于根据节点电压关于直流输送有功功率的灵敏度矩阵,建立以所有节点电压偏差量在安全范围内为约束的直流有功功率恢复优化模型的装置;用于求解该模型得到每一时步在电压安全前提下的各直流系统的有功功率最优恢复量的装置;A device used to establish a DC active power recovery optimization model with all node voltage deviations within a safe range based on the sensitivity matrix of the node voltage with respect to the DC transmission active power; used to solve the model to obtain the voltage safety premise at each time step The device for the optimal recovery amount of active power of each DC system below;用于根据节点电压关于无功补偿装置发出无功功率的灵敏度矩阵,建立以节点电压偏差量的平方和最小为目标的无功补偿装置增投量优化模型的装置;用于求解该模型得到每一时步直流功率恢复完成后各无功补偿装置的最优增投 量,使直流功率恢复造成的节点电压偏差降到最小的装置。A device used to establish a reactive power compensation device increase investment optimization model aiming at the minimum square sum of the node voltage deviation according to the sensitivity matrix of the reactive power emitted by the reactive power compensation device according to the node voltage; The optimal increase in the investment of each reactive power compensation device after the completion of the one-time DC power recovery is a device that minimizes the node voltage deviation caused by the DC power recovery.
- 一种终端设备,其包括处理器和计算机可读存储介质,处理器用于实现各指令;计算机可读存储介质用于存储多条指令,其特征在于,所述指令适于由处理器加载并执行权利要求1-7任一项所述的多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法。A terminal device comprising a processor and a computer-readable storage medium, the processor is used to implement each instruction; the computer-readable storage medium is used to store a plurality of instructions, characterized in that the instructions are suitable for being loaded and executed by the processor The comprehensive control method for ensuring voltage safety during the power recovery phase of the multi-feed DC system according to any one of claims 1-7.
- 一种计算机可读存储介质,其中存储有多条指令,其特征在于,所述指令适于由终端设备的处理器加载并执行权利要求1-7任一项所述的多馈入直流系统功率恢复阶段保证电压安全性的综合控制方法。A computer-readable storage medium, wherein a plurality of instructions are stored, wherein the instructions are adapted to be loaded by a processor of a terminal device and execute the multi-infeed DC system power according to any one of claims 1-7 A comprehensive control method to ensure voltage safety during the recovery phase.
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