CN115712999A - Power transmission network flexible planning method and device considering static and transient stable economic operation - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及输电网柔性规划技术领域,尤其是涉及一种考虑静暂态稳定经济运行的输电网柔性规划方法及设备。The invention relates to the technical field of transmission network flexible planning, in particular to a transmission network flexible planning method and equipment considering static transient stable economic operation.
背景技术Background technique
柔性是描述电力系统灵活可调能力,柔性规划是应对电力系统中各种确定和不确定因素的规划,目标是寻求灵活性更强、适应性更好的规划方案。输电网柔性规划是电力系统安全性和经济性的重要基础,可以节省大量的投资成本,对于网源规划发展而言,它可以实现电网和可再生能源建设真正意义上的经济、清洁和安全、可靠。近些年来,由于大规模可再生电源的接入,输电网愈发灵动、变化多端,柔性规划可以确保电网应对多场景的适应性和经济安全运行,避免可再生能源出力波动性、供需能力不平衡等问题。然而输电网柔性规划需要应对更高的安全性要求。传统的电网规划以建设运行成本最小为目标,在规划方案获取后再进行静暂态安全稳定的后校验。随着大规模新能源接入电网,系统惯量持续下降,灵活性调节资源减少,动态无功调节能力不足,静暂态安全稳定性下降,可能造成机组连锁脱网甚至大停电事故。有必要在电网规划过程中,就考虑可再生能源带来的不确定性,充分发挥深度调峰机组等柔性资源的作用,保证优化出来的规划方案能够直接满足静暂态安全需求。Flexibility refers to the flexible and adjustable ability of the power system. Flexible planning is the planning to deal with various definite and uncertain factors in the power system. The goal is to seek a planning scheme with greater flexibility and better adaptability. The flexible planning of the transmission network is an important basis for the safety and economy of the power system, which can save a lot of investment costs. For the development of network source planning, it can realize the economical, clean and safe construction of power grids and renewable energy. reliable. In recent years, due to the access of large-scale renewable power sources, the transmission network has become more flexible and changeable. Flexible planning can ensure the adaptability of the power grid to multiple scenarios and economically safe operation, and avoid the fluctuation of renewable energy output and weak supply and demand capabilities. issues of balance. However, the flexible planning of the transmission network needs to deal with higher security requirements. Traditional power grid planning aims to minimize construction and operation costs, and post-verification of static transient security and stability is performed after the planning scheme is obtained. With large-scale new energy connected to the power grid, the inertia of the system continues to decline, flexible adjustment resources are reduced, dynamic reactive power adjustment capabilities are insufficient, and static transient safety and stability decline, which may cause unit chain off-grid or even major blackouts. It is necessary to consider the uncertainty brought by renewable energy during the grid planning process, give full play to the role of flexible resources such as deep peak-shaving units, and ensure that the optimized planning scheme can directly meet the static and transient security requirements.
通过对现有文献进行检索,目前对于考虑静暂态安全的输电网柔性规划研究尚处于起步阶段。By searching the existing literature, the research on flexible planning of transmission network considering static transient safety is still in its infancy.
发明内容Contents of the invention
本发明的目的就是为了克服上述现有技术存在的缺陷而提供一种可靠性高、提高电网稳定性的考虑静暂态稳定经济运行的输电网柔性规划方法及设备。The object of the present invention is to provide a transmission network flexible planning method and equipment with high reliability and improved grid stability considering static transient stable economic operation in order to overcome the above-mentioned defects in the prior art.
本发明的目的可以通过以下技术方案来实现:The purpose of the present invention can be achieved through the following technical solutions:
一种考虑静暂态稳定经济运行的输电网柔性规划方法,包括以下步骤:A method for flexible planning of a transmission network considering static-transient stable economic operation, comprising the following steps:
获取待规划输电网的基础数据;Obtain the basic data of the transmission network to be planned;
基于所述基础数据构建以投资和运行成本最小为目标函数的输电网柔性规划模型,该输电网柔性规划模型中考虑柔性资源机组灵活性改造后的深度调峰特性,并基于N-1静态安全约束和暂态安全约束构建约束条件;Based on the basic data, a transmission network flexible planning model with minimum investment and operating costs as the objective function is constructed. In this transmission network flexible planning model, the deep peak-shaving characteristics of flexible resource units after flexible transformation are considered, and based on N-1 static security Constraints and transient safety constraints construct constraints;
对所述输电网柔性规划模型进行求解,获得最优规划方案;Solving the flexible planning model of the transmission network to obtain an optimal planning solution;
其中,所述N-1静态安全约束限定在由N-1故障不确定集确定的海量场景下的切负荷量,所述暂态安全约束利用暂态稳定裕度与机械功率之间的准线性关系获得。Wherein, the N-1 static safety constraints limit the amount of load shedding in massive scenarios determined by the N-1 fault uncertainty set, and the transient safety constraints use the quasi-linearity between the transient stability margin and the mechanical power relationship gained.
进一步地,所述输电网柔性规划模型为双层优化模型,上层目标函数为电网建设投资成本最小,下层目标函数为最严重暂态稳定故障集下的运行成本最小。Further, the flexible planning model of the transmission network is a two-layer optimization model, the upper objective function is to minimize the investment cost of power grid construction, and the lower objective function is to minimize the operating cost under the most severe transient stability fault set.
进一步地,所述N-1静态安全约束和暂态安全约束通过鲁棒优化方法嵌入至所述输电网柔性规划模型中。Further, the N-1 static security constraints and transient security constraints are embedded into the flexible planning model of the transmission network through a robust optimization method.
进一步地,所述N-1静态安全约束表示在由N-1故障不确定集确定的海量场景下不存在切负荷。Further, the N-1 static security constraint indicates that there is no load shedding in the massive scenarios determined by the N-1 fault uncertainty set.
进一步地,所述暂态安全约束的建立具体为:Further, the establishment of the transient security constraints is specifically:
基于拓展等面积准则,利用暂态稳定裕度与机械功率之间的准线性关系,以割平面方程近似代替微分代数方程,构建故障场景ξ的暂态稳定割约束,即为所述暂态安全约束。Based on the extended equal-area criterion, using the quasi-linear relationship between the transient stability margin and the mechanical power, the cut plane equation is used to approximate the differential algebraic equation, and the transient stability cut constraint of the fault scenario ξ is constructed, which is the transient safety constraint.
进一步地,所述输电网柔性规划模型的约束条件还包括节点功率平衡约束、已建线路潮流约束、待建线路潮流约束、已建线路容量约束、待选线路容量约束、火电出力约束、风电出力约束、切负荷约束、弃风约束、机组爬坡约束和投资决策约束。Further, the constraints of the transmission network flexible planning model also include node power balance constraints, power flow constraints of existing lines, power flow constraints of lines to be built, capacity constraints of existing lines, capacity constraints of lines to be selected, thermal power output constraints, and wind power output constraints. constraints, load shedding constraints, wind curtailment constraints, unit ramp constraints and investment decision constraints.
进一步地,所述基础数据包括电源数据、负荷数据、输电网结构数据、暂态数据和深度调峰数据。Further, the basic data includes power supply data, load data, transmission network structure data, transient data and deep peak shaving data.
进一步地,所述基础数据以matpower格式呈现。Further, the basic data is presented in matpower format.
进一步地,采用主-子问题结构的求解思路对所述输电网柔性规划模型进行求解,其中,主问题为含有暂态稳定割约束的输电网规划问题,子问题为一系列时域仿真,在子问题中形成稳定割约束反馈至主问题,主问题中的稳定割约束动态累加,迭代求解主-子问题以获得最优规划方案。Furthermore, the flexible planning model of the transmission network is solved using the main-sub-problem structure solution idea, wherein the main problem is the transmission network planning problem with transient stability cut constraints, and the sub-problems are a series of time-domain simulations. The stable cut constraints formed in the subproblems are fed back to the main problem, and the stable cut constraints in the main problem are dynamically accumulated, and the main-subproblems are iteratively solved to obtain the optimal planning solution.
本发明还提供一种电子设备,包括:The present invention also provides an electronic device, comprising:
一个或多个处理器;one or more processors;
存储器;和memory; and
被存储在存储器中的一个或多个程序,所述一个或多个程序包括用于执行如上所述考虑静暂态稳定经济运行的输电网柔性规划方法的指令。One or more programs stored in the memory, the one or more programs including instructions for executing the transmission network flexible planning method considering static transient stable economic operation as described above.
与现有技术相比,本发明具有以下有益效果:Compared with the prior art, the present invention has the following beneficial effects:
(1)本发明在输电网规划模型中考虑了柔性资源机组灵活性改造,从而充分发挥机组深度调峰能力,提高电网可靠稳定性,虽然增加了机组的运行成本,但减少了投资成本和弃能成本,最终总成本也有所减少,经济性更好。(1) In the transmission network planning model, the present invention considers the flexibility transformation of flexible resource units, so as to give full play to the deep peak-shaving capability of the units and improve the reliability and stability of the power grid. Although the operating costs of the units are increased, the investment costs and disposal costs are reduced. energy cost, the final total cost is also reduced, and the economy is better.
(2)本发明考虑了N-1静态安全约束和以暂态稳定割表征的暂态安全约束,提出的规划方法能够均衡安全稳定与经济运行。(2) The present invention considers the N-1 static security constraints and the transient security constraints represented by the transient stability cut, and the proposed planning method can balance security, stability and economical operation.
(3)采用Benders分解技术和PSAT时域仿真迭代对规划模型高效求解,所得规划方案经济性好、满足静态和暂态安全、风光新能源消纳比例高。(3) Using Benders decomposition technology and PSAT time-domain simulation iteration to solve the planning model efficiently, the obtained planning scheme has good economy, meets static and transient safety, and has a high proportion of wind and new energy consumption.
附图说明Description of drawings
图1为本发明的流程示意图;Fig. 1 is a schematic flow sheet of the present invention;
图2为本发明模型求解思路示意图;Fig. 2 is a schematic diagram of the solution thinking of the model of the present invention;
图3为实施例中采用的输电网测试系统的结构示意图。Fig. 3 is a schematic structural diagram of the transmission network testing system used in the embodiment.
具体实施方式Detailed ways
下面结合附图和具体实施例对本发明进行详细说明。本实施例以本发明技术方案为前提进行实施,给出了详细的实施方式和具体的操作过程,但本发明的保护范围不限于下述的实施例。The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments. This embodiment is carried out on the premise of the technical solution of the present invention, and detailed implementation and specific operation process are given, but the protection scope of the present invention is not limited to the following embodiments.
如图1所示,本发明提供一种考虑静暂态稳定经济运行的输电网柔性规划方法,包括以下步骤:As shown in Figure 1, the present invention provides a method for flexible planning of transmission network considering static-transient stable economic operation, including the following steps:
步骤S1、获取待规划输电网的基础数据,包括电源数据、负荷数据、输电网结构数据、暂态数据和深度调峰数据等。Step S1. Obtain the basic data of the transmission network to be planned, including power source data, load data, transmission network structure data, transient data, and deep peak shaving data.
在具体实施方式中,电源数据包括机组(含新能源机组)容量、最小最大出力限额、机组状态、接入电压等级等参数。负荷数据是指各节点负荷大小。输电网结构数据包括输电网拓扑结构、交直流落点、容量参数、输电线路长度、型号、阻抗、强迫停运率等参数,以及输电线路规划待选集。上述可以matpower格式呈现,便于编程时调用数据计算。In a specific embodiment, the power supply data includes parameters such as unit (including new energy unit) capacity, minimum and maximum output limits, unit status, and access voltage level. The load data refers to the load size of each node. Transmission network structure data includes transmission network topology, AC and DC drop points, capacity parameters, transmission line length, model, impedance, forced outage rate and other parameters, as well as transmission line planning to be selected. The above can be presented in matpower format, which is convenient for calling data calculation during programming.
步骤S2、基于所述基础数据构建以投资和运行成本最小为目标函数的输电网柔性规划模型,该输电网柔性规划模型中考虑柔性资源机组灵活性改造后的深度调峰特性,并基于N-1静态安全约束和暂态安全约束构建约束条件。Step S2. Based on the basic data, a transmission network flexible planning model with the minimum investment and operating costs as the objective function is constructed. In this transmission network flexible planning model, the deep peak-shaving characteristics of flexible resource units after flexible transformation are considered, and based on N- 1 Static security constraints and transient security constraints construct constraints.
该步骤中,输电网柔性规划模型的构建同时考虑了静态安全、暂态安全与经济目标,保证了规划方案的可靠稳定性。In this step, the construction of the flexible planning model of the transmission network takes into account the static security, transient security and economic objectives at the same time, ensuring the reliability and stability of the planning scheme.
(1)柔性资源机组灵活性改造(1) Flexibility transformation of flexible resource units
燃煤发电机组从最小稳定出力来看,未改造的燃煤机组最小稳定出力通常为50%的额定容量,最新运行经验表明大多数60万千瓦及其以下机组的最小稳定出力在不增加任何改造投入的情况下,可压至额定容量的40%左右;通过热电解耦、低压稳燃等技术改造,煤电机组的最小稳定出力可以降至20%-30%的额定容量。通过灵活性改造后的深度调峰机组,是电网规划中的柔性资源,能够调节出力以提供更多的上、下调灵活性。但是灵活性改造需要大量投资,例如100万千瓦的纯凝机组改造至40%的费用大概为2000万元、改造至30%的费用大概为2500万元、改造至20%的费用大概为3400万元,需要均衡投资与能够提升的调节能力。From the perspective of the minimum stable output of coal-fired generating units, the minimum stable output of unreformed coal-fired units is usually 50% of the rated capacity, and the latest operating experience shows that the minimum stable output of most 600,000-kilowatt and below units does not require any modification When put into operation, it can be compressed to about 40% of the rated capacity; through technical transformations such as thermoelectric decoupling and low-voltage stable combustion, the minimum stable output of coal-fired power units can be reduced to 20%-30% of the rated capacity. The deep peak-shaving unit after the flexibility transformation is a flexible resource in the grid planning, which can adjust the output to provide more flexibility in up and down regulation. However, the transformation of flexibility requires a lot of investment. For example, the cost of transforming a 1 million-kilowatt pure condensing unit to 40% is about 20 million yuan, the cost of transforming to 30% is about 25 million yuan, and the cost of transforming to 20% is about 34 million yuan. Yuan requires balanced investment and improved adjustment capabilities.
灵活性改造子模块中,假设yg为煤电机组g是否灵活性改造的决策变量,CGI,g是煤电机组g的单位灵活性改造成本,其灵活性改造总成本如式(1),其在常规调峰阶段成本为fcoal如式(2),在深度调峰阶段成本为fcoal+fabr如式(3),灵活性改造后机组供应上、下调灵活性的大小和分别如式(4)和(5)。In the flexibility transformation sub-module, assume that y g is the decision variable of whether the coal-fired power unit g is flexible or not, and C GI,g is the unit flexibility transformation cost of the coal-fired power unit g, and the total cost of the flexibility transformation is shown in formula (1) , the cost in the conventional peak shaving stage is f coal as shown in formula (2), and the cost in the deep peak shaving stage is f coal +f abr as in formula (3). and Respectively as formula (4) and (5).
Cre=CGI,gyg (1)C re =C GI,g y g (1)
fcoal=ai(Pg(t))2+biPg(t)+ci (2)f coal =a i (P g (t)) 2 +b i P g (t)+c i (2)
fabr=βSunit,i/(2Nf(Pg(t))) (3)f abr =βS unit,i /(2N f (P g (t))) (3)
式中,ai、bi、ci是煤电机组传统二次函数形式燃料成本的参数;β是机组深度运行影响系数;Sunit,i是购机成本;Nf(*)是与机组出力有关的转子循环次数函数;Rg,up和Rg,down分别为机组上、下调节功率的速率;和Pg(t)分别为机组的最大输出功率、最小输出功率及t时刻的输出功率,其中是灵活性改造决策变量yg的函数。In the formula, a i , b i , and c i are the parameters of fuel cost in the traditional quadratic function form of coal-fired power units; β is the influence coefficient of unit deep operation; S unit,i is the purchase cost; N f (*) is Rotor cycle number function related to output; R g, up and R g, down are the rate of up and down adjustment power of the unit respectively; and P g (t) are the maximum output power, the minimum output power, and the output power at time t of the unit, respectively, where is a function of the flexibility transformation decision variable yg .
(2)静态场景构造(2) Static scene construction
按《电力系统安全稳定导则》中的N-1原则,正常运行方式下的电力系统中任一元件断开,电力系统应能保持稳定运行和正常供电,其他元件不过负荷。在可再生能源并网后,系统呈现多样化运行场景。由于场景数量骤增,在峰值负荷下满足静态安全的规划方案在其他场景下可能不满足静态安全。因此,面向可再生能源并网的电力系统,需要构建并确保规划方案在海量场景下的静态安全。According to the N-1 principle in the "Guidelines for Safety and Stability of Power Systems", if any component of the power system is disconnected under normal operation mode, the power system should be able to maintain stable operation and normal power supply, and other components should not be overloaded. After renewable energy is connected to the grid, the system presents a variety of operating scenarios. Due to the sudden increase in the number of scenarios, a planning scheme that satisfies static security under peak load may not satisfy static security in other scenarios. Therefore, the power system for renewable energy grid integration needs to build and ensure the static security of the planning scheme in massive scenarios.
静态场景构造子模块中,N-1故障不确定集构建如式(6),静态安全即在式(6)海量场景下的不存在切负荷,切负荷量ri等于0。In the static scene construction sub-module, the N-1 fault uncertainty set is constructed as formula (6). Static safety means that there is no load shedding in the massive scene of formula (6), and the load shedding amount r i is equal to 0.
式中,nl为已建线路数量,nx待选线路数量,ng发电机数量,w已建线路状态变量,y为待选线路状态变量,z为发电机状态变量。In the formula, n l is the number of built lines, n x the number of lines to be selected, n g is the number of generators, w is the state variable of the built line, y is the state variable of the line to be selected, and z is the state variable of the generator.
(3)暂态安全稳定(3) Transient safety and stability
目前一般采用后校验方法来判断输电网规划方案的暂态稳定性。然而,后校验方法具有一定局限性,只能判别所得规划方案是否稳定,而无法直接体现在规划模型中。本发明采用经典二阶模型描述发电机的暂态过程,基于拓展等面积准则(EEAC),电力系统暂态安全稳定采用微分代数方程式(7)-(10)At present, the post-verification method is generally used to judge the transient stability of the transmission network planning scheme. However, the post-verification method has certain limitations. It can only judge whether the obtained planning scheme is stable, but cannot be directly reflected in the planning model. The present invention uses the classical second-order model to describe the transient process of the generator, and based on the Extended Equal Area Criterion (EEAC), the transient safety and stability of the power system adopts differential algebraic equations (7)-(10)
上式主要包括暂态过程中的发电机转子运动方程、电磁功率方程以及基于EEAC的暂态稳定裕度约束。式中,δi、ωi、Pm,i、Pe,i分别为发电机i的功角、转速、机械功率、电磁功率,都为时变量;Pm和Pe分别为OMIB的机械功率和电磁功率;是故障ξ下发电机i的电磁功率,初值与机械功率相等,由稳态解Pg,j确定;与是故障ξ下的收缩至发电机节点的导纳矩阵,其大小受规划决策xl影响;η(ξ)为故障ξ下的暂态稳定裕度,Ω为预想故障集合。The above formula mainly includes the generator rotor motion equation, electromagnetic power equation and EEAC-based transient stability margin constraints in the transient process. In the formula, δ i , ω i , P m,i , P e,i are the power angle, rotational speed, mechanical power, and electromagnetic power of generator i respectively, all of which are time variables; P m and P e are the mechanical power and electromagnetic power; is the electromagnetic power of generator i under fault ξ, the initial value and mechanical power are equal, determined by the steady-state solution P g,j ; and is the admittance matrix contracted to the generator node under the fault ξ, and its size is affected by the planning decision x l ; η(ξ) is the transient stability margin under the fault ξ, and Ω is the expected fault set.
大扰动发生后,发电机的机械功率与电磁功率产生差额。功率差额使得部分发电机开始加速,而部分发电机开始减速。功率差额是导致暂态稳定破坏的直接原因。机械功率变化可表示为临界机群机械功率变化和非临界机群机械功率变化的加权和,如式(11)所示。After a large disturbance occurs, there will be a difference between the mechanical power and the electromagnetic power of the generator. The difference in power causes some generators to start speeding up and some generators to start slowing down. The power difference is the direct cause of transient stability failure. mechanical power change can be expressed as critical fleet mechanical power change and non-critical fleet mechanical power variation The weighted sum of , as shown in formula (11).
其中,in,
根据功率平衡,有:According to the power balance, there are:
从而,联立式(11)和式(14)可推导得到:Thus, the simultaneous formula (11) and formula (14) can be derived as follows:
由式(15)可知,增大OMIB机械功率即增大临界机群机械功率减小非临界机群机械功率利用暂态稳定裕度与机械功率之间的准线性关系,可求当前故障场景ξ的暂态稳定裕度η(ξ)对OMIB机械功率的灵敏度:It can be seen from formula (15) that increasing the mechanical power of OMIB increase the critical mechanical power of the fleet Reduce the mechanical power of non-critical fleet Using the quasi-linear relationship between the transient stability margin and the mechanical power, the transient stability margin η (ξ) of the current fault scenario ξ can be calculated for the OMIB mechanical power The sensitivity of:
OMIB机械功率需要满足:OMIB mechanical power needs to meet:
式中,为主问题传递给子问题的发电机出力,在时域仿真中为发电机的机械功率,Pm,i为新一轮迭代中待决策的发电机出力,η(ξ)为不稳定场景ξ的暂态稳定裕度。式(17)作为故障场景ξ的暂态稳定割约束。In the formula, The output of the generator passed from the main problem to the sub-problem is the mechanical power of the generator in the time domain simulation, P m,i is the output of the generator to be decided in the new iteration, η (ξ) is the unstable scene ξ transient stability margin. Equation (17) is used as the transient stability cut constraint of fault scenario ξ.
暂态稳定割约束的物理含义是在保持功率平衡的情况下限制临界机群的机械功率,从而减小故障中OMIB的加速面积,提高暂态稳定裕度。暂态稳定割约束的内涵是以割平面方程近似代替微分代数方程,形成线性化约束,进而在主问题中划定新的可行域,使得规划方案满足暂态稳定约束。The physical meaning of the transient stability cut constraint is to limit the mechanical power of the critical cluster while maintaining the power balance, thereby reducing the acceleration area of the OMIB in the fault and improving the transient stability margin. The connotation of the transient stability cut constraint is to replace the differential algebraic equation approximately by the cut plane equation to form a linearization constraint, and then delineate a new feasible region in the main problem, so that the planning scheme meets the transient stability constraint.
(4)模型构建(4) Model construction
结合静态安全稳定和暂态安全稳定,同时考虑经济运行需求,建立输电网柔性规划模型。模型目标函数为投资成本与运行成本之和最小,为双层优化结构,如式(18)和式(19)所示。其中投资成本包括电网建设投资成本、深度调峰机组的灵活性改造成本、运行成本包括燃料成本、切负荷成本和弃能费用。上层目标如式(18),在满足下层约束的前提下,使电网建设投资成本最小;下层模型如式(19),目标函数为最严重暂态稳定故障集Φ下的运行成本最小。Combining static security and stability and transient security and stability, and considering economic operation requirements, a flexible planning model of transmission network is established. The objective function of the model is the minimum sum of investment cost and operating cost, and it is a two-layer optimization structure, as shown in formula (18) and formula (19). Among them, the investment cost includes the investment cost of power grid construction, the flexibility transformation cost of deep peak-shaving units, and the operating cost includes fuel cost, load shedding cost and energy abandonment cost. The upper-level objective is shown in Equation (18). Under the premise of satisfying the lower-level constraints, the investment cost of power grid construction is minimized; the lower-level model is shown in Equation (19), and the objective function is to minimize the operating cost under the most severe transient stability fault set Φ.
式中,xe,yg,分别为待建电网线路e、待灵活性机组改造的深度调峰机组g的投资决策变量;EC是待建的线路集合;CEI,e是待建线路E的投资建设成本;GG是待灵活性机组改造的深度调峰机组集合;CGI,g是待建机组g的投资建设成本;Φ是故障场景集合;是节点集合;G(i)是节点i处的机组集合;GW(i)是节点i处的风电场集合;Cr,i是节点i的切负荷惩罚成本;ri是节点i的切负荷;Cw,k是节点i处的风电场k的弃风惩罚成本;swk是节点i处的风电场k的弃风。In the formula, x e , y g , are respectively the investment decision variables of the power grid line e to be built and the deep peak-shaving unit g to be transformed by flexible units; E C is the set of lines to be built; C EI,e is the line to be built The investment and construction cost of E; G G is the set of deep peak-shaving units to be transformed by flexible units; C GI,g is the investment and construction cost of the unit g to be built; Φ is the set of failure scenarios; is the set of nodes; G(i) is the set of generating units at node i; GW(i) is the set of wind farms at node i; C r,i is the penalty cost of load shedding of node i; r i is the load shedding of node i ; C w,k is the curtailment penalty cost of wind farm k at node i; sw k is the curtailment cost of wind farm k at node i.
规划模型的约束条件为:The constraints of the planning model are:
节点功率平衡约束:Node power balance constraints:
已建线路潮流:Built line flow:
fl,t=bl,t(θstart(l),t-θend(l),t),l∈Ee (21)f l,t =b l,t (θ start(l),t -θ end(l),t ),l∈Ee (21)
待建线路潮流:Line trend to be built:
|fl,t-bl,t(θstart(l),t-θend(l),t)|≤M(1-xe),l∈Ec (22)|f l,t -b l,t (θ start(l),t -θ end(l),t )|≤M(1-x e ),l∈Ec (22)
已建线路容量约束:Built line capacity constraints:
待选线路容量约束:Candidate line capacity constraints:
火电出力约束:Thermal power output constraints:
风电出力约束:Wind power output constraints:
切负荷约束:Load Shedding Constraints:
弃风约束:Curtailment Constraints:
机组爬坡约束:Crew climbing constraints:
投资决策约束:Investment decision constraints:
xe∈{0,1},yg∈{0,1} (30)x e ∈ {0,1}, y g ∈ {0,1} (30)
故障场景集:Set of failure scenarios:
暂态稳定裕度约束:Transient Stability Margin Constraints:
式中,Pg,j,t为机组i的有功出力;为风电机组的预测最大出力;fl,t为线路l的潮流;γfr(i)和γto(i)分别为以节点i为首端和末端的线路集合;θstart(l),t和θend(l),t分别为线路l首端节点和末端节点的相角;bl,t为系统导纳矩阵;M为一个极大数;和分别为机组i的有功出力最小、最大值,注意到最小值与机组是否参与灵活性改造有关;δg,up、δg,down分别为机组上下爬坡率。模型中符号带有下标t的均是与时间有关的时序值。In the formula, P g, j, t is the active output of unit i; is the predicted maximum output of the wind turbine; f l, t is the power flow of line l; γ fr(i) and γ to(i) are the set of lines with node i as the head and end respectively; θ start(l), t and θ end(l), t are the phase angles of the head end node and the end node of the line l respectively; b l, t is the system admittance matrix; M is a very large number; and are the minimum and maximum values of the active output of unit i, respectively. Note that the minimum value is related to whether the unit participates in the flexibility transformation; δ g,up and δ g,down are the up and down ramp rates of the unit respectively. The symbols with the subscript t in the model are time-series values related to time.
步骤S3、对所述输电网柔性规划模型进行求解,获得最优规划方案,及规划方案的相应投资运行成本、电力电量等技术指标。Step S3, solving the flexible planning model of the transmission network to obtain an optimal planning scheme, and technical indicators such as corresponding investment and operation costs and electric power quantities of the planning scheme.
考虑静暂态安全稳定与经济运行的输电网柔性规划模型包含主问题和子问题。采用了主-子问题结构的求解思路。主问题为输电网规划问题,子问题为一系列时域仿真。主-子问题求解的关键在于:在子问题中基于EEAC理论形成稳定割约束反馈至主问题。主问题中的稳定割约束动态累加,迭代求解主-子问题以获得最优规划方案。主问题是含有暂态稳定割约束的输电网规划问题,暂态稳定割约束由子问题中稳定裕度为负的失稳场景生成。由于暂态稳定割约束是线性约束,主问题可表示为MILP问题,即可通过Benders分解技术或者求解器Gurobi、Cplex求解。子问题进行时域仿真,由PSAT完成。模型求解思路如图2所示。The flexible planning model of transmission network considering static transient security, stability and economic operation includes main problems and sub-problems. The main-subproblem structure is adopted to solve the problem. The main problem is the transmission network planning problem, and the sub-problems are a series of time-domain simulations. The key to solving the main-subproblem lies in: forming stable cut constraints based on the EEAC theory in the subproblem and feeding back to the main problem. The stable cut constraints in the main problem are dynamically accumulated, and the main-sub-problem is iteratively solved to obtain the optimal planning solution. The main problem is a transmission network planning problem with a transient stability cut constraint, which is generated by an unstable scenario with a negative stability margin in the subproblems. Since the transient stability cut constraint is a linear constraint, the main problem can be expressed as a MILP problem, which can be solved by Benders decomposition technique or solver Gurobi and Cplex. The subproblems are simulated in time domain, which is done by PSAT. The idea of solving the model is shown in Figure 2.
实现如上述方法的一种考虑静暂态安全稳定与经济运行的输电网柔性规划系统,可包括以下7大模块:(1)数据模块:用于存储电源数据、暂态数据、输电网数据、深度调峰数据等;(2)输入模块:从数据模块中获取所需数据;(3)静态安全稳定模型构造模块:包括机组灵活性改造子模块和静态场景构造子模块,考虑柔性资源机组灵活性改造后的深度调峰特性,构建N-1故障下的静态安全稳定模型;(4)暂态安全稳定模型构造模块:利用暂态稳定裕度与机械功率之间的准线性关系,构建暂态稳定割平面方程;(5)考虑静暂态安全稳定与经济运行的输电网柔性规划模型构造模块:同时考虑静态安全、暂态安全与经济目标,构建输电网柔性规划模型;(6)求解模块:用于规划模型求解,将模型分解为柔性规划主问题和故障仿真子问题,实现有效求解;(7)输出模块:输出规划方案。A transmission network flexible planning system that considers static-transient security, stability and economical operation to achieve the above method can include the following seven modules: (1) Data module: used to store power data, transient data, transmission network data, In-depth peak shaving data, etc.; (2) Input module: obtain the required data from the data module; (3) Static security and stability model construction module: includes unit flexibility transformation sub-module and static scene construction sub-module, considering flexible resource unit flexibility (4) Construction module of transient safety and stability model: use the quasi-linear relationship between transient stability margin and mechanical power to construct a transient safety and stability model State-stable cutting plane equation; (5) Construction module of flexible planning model of transmission network considering static-transient safety and stability and economic operation: considering static safety, transient safety and economic objectives at the same time, constructing a flexible planning model of transmission network; (6) Solving Module: used to solve the planning model, decomposing the model into flexible planning main problems and fault simulation sub-problems to achieve effective solutions; (7) output module: output planning solutions.
上述功能方法以软件功能单元的形式实现并作为独立的产品销售或使用时,可以存储在一个计算机可读取存储介质中。基于这样的理解,本发明的技术方案本质上或者说对现有技术做出贡献的部分或者该技术方案的部分可以以软件产品的形式体现出来,该计算机软件产品存储在一个存储介质中,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)执行本发明各个实施例所述方法的全部或部分步骤。而前述的存储介质包括:U盘、移动硬盘、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM,Random Access Memory)、磁碟或者光盘等各种可以存储程序代码的介质。When the above functional methods are realized in the form of software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the essence of the technical solution of the present invention or the part that contributes to the prior art or the part of the technical solution can be embodied in the form of a software product, and the computer software product is stored in a storage medium, including Several instructions are used to make a computer device (which may be a personal computer, a server, or a network device, etc.) execute all or part of the steps of the methods described in various embodiments of the present invention. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), magnetic disk or optical disk and other media that can store program codes. .
实施例Example
规划目标年为2030年,具备高比例可再生能源装机。算例中火电机组装机容量:328600MW,风光装机容量:294300MW,节点数:38个,机组爬坡速度:650MW/h,132台发电机,102条已有线路,88条待建线路,8个典型日,概率等分为0.125,切负荷惩罚成本:1.7万元/MWh,总负荷:217100MW,线路投资等年值:93.7万元/km,线路投资寿命:25年(630万元/km),弃风惩罚成本:0.05万元/MWh,弃光惩罚成本:0.085万元/MHh,正常调峰最小出力:50%,深度调峰最小出力:35%。The planning target year is 2030, with a high proportion of renewable energy installed capacity. In the calculation example, thermal power installed capacity: 328600MW, wind and solar installed capacity: 294300MW, number of nodes: 38, unit climbing speed: 650MW/h, 132 generators, 102 existing lines, 88 lines to be built, 8 On a typical day, the probability is divided into 0.125, load shedding penalty cost: 17,000 yuan/MWh, total load: 217,100 MW, annual value of line investment: 937,000 yuan/km, line investment life: 25 years (6.3 million yuan/km) , Wind abandonment penalty cost: 0.05 million yuan/MWh, light abandonment penalty cost: 0.085 million yuan/MHh, minimum output for normal peak regulation: 50%, minimum output for deep peak regulation: 35%.
图3所示为一个含高比例可再生能源的输电网系统。故障类型选择了对系统暂态稳定影响最严重的三相短路故障,作为电网暂态安全研究的预想故障集,根据《电力系统安全稳定计算技术规范》DLT 1234-2013,故障切除时间设定为0.1s,仿真总时长3s,仿真步长0.005s,故障起始时刻1s,故障清除时刻1.1s,故障清除时间0.1s。相关程序均在MATLAB调用商用求解器Gurobi的Yalmip对模型加以求解。算例的测试结果如表1和表2所示。Figure 3 shows a transmission grid system with a high proportion of renewable energy. The fault type selects the three-phase short-circuit fault that has the most serious impact on the transient stability of the system as the expected fault set for the transient safety research of the power grid. According to the "Technical Specifications for Power System Safety and Stability Calculation" DLT 1234-2013, the fault removal time is set as 0.1s, the total simulation time is 3s, the simulation step is 0.005s, the fault start time is 1s, the fault clearing time is 1.1s, and the fault clearing time is 0.1s. The relevant programs call the commercial solver Gurobi's Yalmip in MATLAB to solve the model. The test results of the example are shown in Table 1 and Table 2.
表1是否考虑柔性资源机组灵活性改造的规划方案对比Table 1. Comparison of planning schemes for flexible transformation of units with flexible resources
表1中对是否考虑柔性资源机组灵活性改造的不同方案进行比较,由表1可知,考虑柔性资源机组灵活性改造后,机组具有深度调峰能力,新能源发电量占比会提高,深度调峰的成本增加,所以年运行成本有所增加,但投资成本和弃能成本有所减少,最终总成本有所减少。火电机组具备深度调峰的能力,各个时刻的出力值有显著降低,新能源消纳比例提升。Table 1 compares different schemes whether considering the flexible transformation of flexible resource units. It can be seen from Table 1 that after considering the flexible transformation of flexible resource units, the units have deep peak-shaving capabilities, and the proportion of new energy power generation will increase. The cost of the peak increases, so the annual operating cost increases, but the investment cost and energy curtailment cost decrease, and finally the total cost decreases. The thermal power unit has the ability of deep peak regulation, the output value at each moment has been significantly reduced, and the proportion of new energy consumption has been increased.
表2是否考虑暂态稳定的规划方案对比Table 2 Comparison of planning schemes considering transient stability
表2中对是否考虑暂态约束的不同方案进行比较,由表2可知,考虑内嵌暂态约束后,投建线路增加,所以投资成本增加,但弃能成本和机组运行成本均减少,新能源发电量占比提高,总成本降低,线路增加后提高了系统的新能源消纳能力。Table 2 compares the different schemes with or without considering the transient constraints. It can be seen from Table 2 that after considering the embedded transient constraints, the investment and construction lines increase, so the investment cost increases, but the energy abandonment cost and unit operating cost are both reduced. The proportion of energy generation is increased, the total cost is reduced, and the new energy consumption capacity of the system is improved after the increase of lines.
以上详细描述了本发明的较佳具体实施例。应当理解,本领域的普通技术人员无需创造性劳动就可以根据本发明的构思作出诸多修改和变化。因此,凡本技术领域中技术人员依本发明的构思在现有技术的基础上通过逻辑分析、推理或者有限的实验可以得到的技术方案,皆应在由权利要求书所确定的保护范围内。The preferred specific embodiments of the present invention have been described in detail above. It should be understood that those skilled in the art can make many modifications and changes according to the concept of the present invention without creative efforts. Therefore, all technical solutions that can be obtained by those skilled in the art based on the concept of the present invention through logical analysis, reasoning or limited experiments on the basis of the prior art shall be within the scope of protection defined by the claims.
本领域内的技术人员应明白,本发明的实施例可提供为方法、系统、或计算机程序产品。因此,本发明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,本发明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。本发明实施例中的方案可以采用各种计算机语言实现,例如,面向对象的程序设计语言Java和直译式脚本语言JavaScript等。Those skilled in the art should understand that the embodiments of the present invention may be provided as methods, systems, or computer program products. Accordingly, the present invention can take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein. The solutions in the embodiments of the present invention can be realized by using various computer languages, for example, the object-oriented programming language Java and the literal translation scripting language JavaScript.
本发明是参照根据本发明实施例的方法、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。The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It should be understood that each procedure and/or block in the flowchart and/or block diagram, and a combination of procedures and/or blocks in the flowchart and/or block diagram can be realized by computer program instructions. These computer program instructions may be provided to a general purpose computer, special purpose computer, embedded processor, or processor of other programmable data processing equipment to produce a machine such that the instructions executed by the processor of the computer or other programmable data processing equipment produce a An apparatus for realizing the functions specified in one or more procedures of the flowchart and/or one or more blocks of the block diagram.
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 apparatus to operate in a specific manner, such that the instructions stored in the computer-readable memory produce an article of manufacture comprising instruction means, the instructions The device realizes the function specified in one or more procedures of the flowchart 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 onto a computer or other programmable data processing device, causing a series of operational steps to be performed on the computer or other programmable device to produce a computer-implemented process, thereby The instructions provide steps for implementing the functions specified in the flow chart or blocks of the flowchart and/or the block or blocks of the block diagrams.
尽管已描述了本发明的优选实施例,但本领域内的技术人员一旦得知了基本创造性概念,则可对这些实施例作出另外的变更和修改。所以,所附权利要求意欲解释为包括优选实施例以及落入本发明范围的所有变更和修改。While preferred embodiments of the invention have been described, additional changes and modifications to these embodiments can be made by those skilled in the art once the basic inventive concept is appreciated. Therefore, it is intended that the appended claims be construed to cover the preferred embodiment as well as all changes and modifications which fall within the scope of the invention.
显然,本领域的技术人员可以对本发明进行各种改动和变型而不脱离本发明的精神和范围。这样,倘若本发明的这些修改和变型属于本发明权利要求及其等同技术的范围之内,则本发明也意图包含这些改动和变型在内。Obviously, those skilled in the art can make various changes and modifications to the present invention without departing from the spirit and scope of the present invention. Thus, if these modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalent technologies, the present invention also intends to include these modifications and variations.
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