CN104037776B - The electric network reactive-load capacity collocation method of random inertial factor particle swarm optimization algorithm - Google Patents

The electric network reactive-load capacity collocation method of random inertial factor particle swarm optimization algorithm Download PDF

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CN104037776B
CN104037776B CN201410267481.2A CN201410267481A CN104037776B CN 104037776 B CN104037776 B CN 104037776B CN 201410267481 A CN201410267481 A CN 201410267481A CN 104037776 B CN104037776 B CN 104037776B
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CN104037776A (en
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熊浩清
王红印
马世英
宋墩文
张毅明
孙建华
刘道伟
陈军
孙冉
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
State Grid Henan Electric Power Co Ltd
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China Electric Power Research Institute Co Ltd CEPRI
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    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/30Reactive power compensation
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/70Smart grids as climate change mitigation technology in the energy generation sector
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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    • Y04SSYSTEMS 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
    • Y04S10/00Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications

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Abstract

本发明提供一种随机惯性因子粒子群优化算法的电网无功容量配置方法,该方法包括以下步骤:I、实时获取WAMS系统的系统参数,设定粒子的边界条件;II、初始化种群,确定所述粒子的适应值;III、划分迭代阶段;IV、更新所述粒子的速度和位置;V、判断迭代次数是否到全局搜索阶段最大迭代次数;VI、判断迭代次数是否到初级解稳定阶段最大迭代次数;VII、判断迭代次数是否到迭代上限;VIII、跌代到最大次数,输出在线无功容量配置方案。与标准算法和自适应变异算法相比,本发明的方法提高了优化的精度,在保证收敛速度的同时,结合无功优化的实际情况,实现了前期全局搜索能力、后其局部搜索精度的提高,最终得到全局最优解。

The invention provides a method for configuring reactive power capacity of a power grid based on a random inertial factor particle swarm optimization algorithm. The method comprises the following steps: 1. obtaining system parameters of the WAMS system in real time, and setting the boundary conditions of the particles; 2. initializing the population, determining the The fitness value of the particle; III, dividing the iteration stage; IV, updating the speed and position of the particle; V, judging whether the number of iterations reaches the maximum iteration number of the global search stage; VI, judging whether the number of iterations reaches the maximum iteration number of the primary solution stabilization stage number of times; VII, judging whether the number of iterations reaches the upper limit of iterations; VIII, downgrading to the maximum number of times, and outputting an online reactive capacity configuration scheme. Compared with the standard algorithm and the self-adaptive mutation algorithm, the method of the present invention improves the precision of optimization, while ensuring the convergence speed, combined with the actual situation of reactive power optimization, it realizes the improvement of the global search ability in the early stage and the local search precision later , and finally get the global optimal solution.

Description

随机惯性因子粒子群优化算法的电网无功容量配置方法Power Grid Reactive Capacity Allocation Method Based on Random Inertia Factor Particle Swarm Optimization Algorithm

技术领域technical field

本发明涉及一种电网智能调度支持系统电网运行状态评估与预警领域的方法,具体涉及一种随机惯性因子粒子群优化算法的电网无功容量配置方法。The invention relates to a method in the field of power grid operation state evaluation and early warning of a power grid intelligent dispatching support system, in particular to a power grid reactive capacity configuration method based on a random inertia factor particle swarm optimization algorithm.

背景技术Background technique

随着社会、经济及电力工业的快速发展,电网逐渐发展成大规模、远距离、特高压交直流互联及新能源接入比例加大等形式,增加了电网运行的不确定性。而受端电网主要以负荷集中地区为中心,通过周边联络线与远距离广义发端电源相连,进而实现电能的供需平衡。由于能源和负荷中心区域分布的不匹配,以及考虑环境等因素制约,受端系统内部电源支撑不足,大量电能需要从远方进行远距离传输,受端系统规模迅猛增大且其复杂度越趋复杂。With the rapid development of society, economy and power industry, the power grid has gradually developed into a large-scale, long-distance, UHV AC-DC interconnection and an increased proportion of new energy access, which increases the uncertainty of power grid operation. The receiving-end power grid is mainly centered on the load-concentrated area, and is connected to the long-distance generalized originating power supply through the surrounding tie-lines, so as to achieve the balance between supply and demand of electric energy. Due to the mismatch between the distribution of energy and the load center area, as well as the consideration of factors such as the environment, the internal power supply support of the receiving end system is insufficient, and a large amount of electric energy needs to be transmitted from a long distance. The scale of the receiving end system is rapidly increasing and its complexity is becoming more and more complicated. .

20世纪80年代以来,国际上多个大型电力系统相继发生多起电压持续偏低、电压崩溃事件,造成巨大的经济损失和社会影响,使电压稳定逐渐成为国际电工学界关注的焦点,对运行环境下的受端电网电压稳定在线监控提出了更高的要求。目前,用于电力系统静态电压稳定和动态电压稳定仿真的数值算法比较成熟,引起仿真结果与真实系统不吻合的原因主要是系统中元件模型与参数的不准确。另外,基于数学建模和仿真的分析方法,受电网模型、参数以及数值计算等因素的制约,在应用规模、速度及可靠性等方面很难适应电压稳定在线实时评估的要求。Since the 1980s, many large-scale power systems in the world have successively experienced multiple incidents of continuous low voltage and voltage collapse, causing huge economic losses and social impacts, making voltage stability gradually become the focus of international electrotechnical circles. The on-line monitoring of the voltage stability of the receiving end power grid has put forward higher requirements. At present, the numerical algorithms used for static voltage stability and dynamic voltage stability simulation of power system are relatively mature. The reason why the simulation results do not match the real system is mainly due to the inaccuracy of the component models and parameters in the system. In addition, analysis methods based on mathematical modeling and simulation are restricted by grid models, parameters, and numerical calculations, making it difficult to meet the requirements of online real-time evaluation of voltage stability in terms of application scale, speed, and reliability.

交流电网无功配置是提高系统性能的重要实时电压控制管理技术。一般情况下,输电网无功补偿手段可分为两大类,即发电厂无功功率输出调节和变电站电容器电压支撑。这两者的组合对输电网中无功功率的传输及网络节点电压的数值有着显著影响,对其的优化属于多目标组合寻优问题。AC grid reactive power allocation is an important real-time voltage control management technology to improve system performance. In general, the reactive power compensation methods of the transmission network can be divided into two categories, namely, the reactive power output regulation of the power plant and the capacitor voltage support of the substation. The combination of the two has a significant impact on the transmission of reactive power in the transmission network and the value of the network node voltage, and its optimization is a multi-objective combination optimization problem.

在基于网损最小化的无功容量优化配置问题中,试图同时在一系列给定的条件之下,最优化地设置控制变量的值。这些控制变量包括发电机无功的输入、变压器变比、并联电容/抗器的无功输出等。近年来许多文献对其进行了建模研究,并采用演化算法对其进行求解,诸如遗传算法、蚁群算法和禁忌搜索法等。In the optimal configuration problem of reactive power capacity based on network loss minimization, it is attempted to optimally set the value of control variables under a series of given conditions at the same time. These control variables include generator reactive power input, transformer ratio, reactive power output of shunt capacitor/reactor, etc. In recent years, many literatures have carried out modeling research on it, and used evolutionary algorithms to solve it, such as genetic algorithm, ant colony algorithm and tabu search method.

粒子群优化算法是智能算法中的一种。粒子群算法由于建模简易、收敛性快等优点,在无功功率容量优化配置寻优问题求解领域得到了充分的发展。Particle swarm optimization algorithm is a kind of intelligent algorithm. Due to the advantages of simple modeling and fast convergence, the particle swarm optimization algorithm has been fully developed in the field of reactive power capacity optimization configuration optimization problems.

由于粒子群优化算法具有收敛速度快、容易实现且需要参数少等优点,已有不少文献就无功容量优化问题,提出了改进的PSO算法。然而,当PSO应用于高维复杂问题时,容易出现过早收敛且造成局部最优等问题,导致了该算法不能保证收敛到全局最优。出现这种情况的主要原因是早期收敛速度快,到了后期没有得到有效约束使得算法脱离极小点。Since the particle swarm optimization algorithm has the advantages of fast convergence speed, easy implementation and less parameters required, many literatures have proposed an improved PSO algorithm for reactive power capacity optimization. However, when PSO is applied to high-dimensional complex problems, it is prone to problems such as premature convergence and local optimum, which leads to the fact that the algorithm cannot guarantee to converge to the global optimum. The main reason for this situation is that the convergence speed is fast in the early stage, and in the later stage, no effective constraints are obtained to make the algorithm break away from the minimum point.

发明内容Contents of the invention

为了克服上述现有技术的缺陷,本发明提供了一种随机惯性因子粒子群优化算法的电网无功容量配置方法。In order to overcome the above-mentioned defects in the prior art, the present invention provides a method for configuring reactive power capacity of a power grid based on a random inertia factor particle swarm optimization algorithm.

为了实现上述发明目的,本发明采取如下技术方案:In order to realize the above-mentioned purpose of the invention, the present invention takes the following technical solutions:

一种随机惯性因子粒子群优化算法的电网无功容量配置方法,其改进之处在于:所述方法包括以下步骤:A method for configuring reactive power capacity of a power grid based on a stochastic inertial factor particle swarm optimization algorithm, the improvement of which is that the method includes the following steps:

I、实时获取WAMS系统的系统参数,设定粒子的边界条件;I. Obtain the system parameters of the WAMS system in real time, and set the boundary conditions of the particles;

II、初始化种群,建立电网的无功优化模型,确定所述粒子的适应值;II. Initialize the population, establish a reactive power optimization model of the power grid, and determine the fitness value of the particles;

III、划分迭代阶段;III. Divide iteration stages;

IV、更新所述粒子的速度和位置;IV. Updating the velocity and position of the particles;

V、判断迭代次数是否到全局搜索阶段最大迭代次数;V, judge whether the number of iterations reaches the maximum number of iterations in the global search stage;

VI、判断迭代次数是否到初级解稳定阶段最大迭代次数;VI. Determine whether the number of iterations has reached the maximum number of iterations in the primary solution stabilization stage;

VII、判断迭代次数是否到迭代上限;VII, judging whether the number of iterations reaches the upper limit of iterations;

VIII、跌代到最大次数,输出在线无功容量配置方案。VIII. When downgrading to the maximum number of times, output the online reactive capacity configuration scheme.

进一步的,所述步骤I的所述系统参数包括所述电网系统的PMU测量值和所述EMS数据;Further, the system parameters in the step 1 include the PMU measurement value and the EMS data of the power grid system;

所述PMU测量值包括母线电流、母线电压、有功功率和无功功率;The PMU measured value includes bus current, bus voltage, active power and reactive power;

所述EMS数据包括母线电压、母线电压流、有功功率和无功功率;The EMS data includes bus voltage, bus voltage flow, active power and reactive power;

所述粒子的边界为基于所述电网系统的状态局势的估计结果及当前调度运行规定的实时各点电压上下限值,设定的对应算法的解空间范围;The boundary of the particle is the solution space range of the corresponding algorithm set based on the estimated result of the state situation of the power grid system and the real-time upper and lower voltage limits of each point specified by the current scheduling operation;

进一步的,所述步骤II包括以下步骤:Further, said step II includes the following steps:

S201、获取配电网系统的节点信息和支路信息,设置控制变量的个数及各控制变量的取值范围以及初始种群的群体规模;S201. Obtain node information and branch information of the distribution network system, set the number of control variables, the value range of each control variable, and the group size of the initial population;

对所述初始种群进行初始化并设置初始参数,获得初始粒子群;Initializing the initial population and setting initial parameters to obtain an initial particle population;

初始化获得所述初始种群是指在粒子取值范围内对所述初始种群中的粒子随机选择粒子的初始速度和初始位置,所述初始参数包括最大迭代次数和适应阈值;Initializing and obtaining the initial population refers to randomly selecting the initial velocity and initial position of the particles in the initial population within the particle value range, and the initial parameters include a maximum number of iterations and an adaptation threshold;

S202、选取输电网络有功功率损耗为目标函数,如下式确定无功优化的数学模型:S202. Select the active power loss of the transmission network as the objective function, and determine the mathematical model of reactive power optimization as follows:

式中,k=(i,j),i∈NB,NB为所有母线节点集合,j∈Ni,Ni为与母线节点i相关联的节点集合;为输电网络有功功率损耗;gk为支路k的导纳;vi,vj分别母线节点i和j的电压幅值;θij为负荷母线i和j的角度差;In the formula, k=(i,j), i∈N B , N B is the set of all bus nodes, j∈N i , N i is the set of nodes associated with bus node i; is the active power loss of the transmission network; g k is the admittance of branch k; v i , v j are the voltage amplitudes of bus nodes i and j respectively; θ ij is the angle difference between load bus i and j;

S202、如下式确定等式约束条件:S202. Determine the equality constraints as follows:

式中,Pgi节点i的发电机有功功率注入;Pdi为节点i的负荷有功功率;gij、Bij分别为节点i、j之间的电导和电纳;Qgi是节点i的发电机无功功率注入;Qdi为节点i的负荷无功功率;vi,vj分别母线节点i和j的电压幅值;θij为负荷母线i和j的角度差。In the formula, P gi is the generator active power injection of node i; P di is the load active power of node i; g ij and B ij are the conductance and susceptance between nodes i and j respectively; Q gi is the power generation of node i machine reactive power injection; Q di is the load reactive power of node i; v i , v j are the voltage amplitudes of bus nodes i and j respectively; θ ij is the angle difference between load bus i and j.

进一步的,所述步骤III包括以下步骤:Further, said step III includes the following steps:

S301、初始迭代次数为1,根据迭代次数将迭代分为全局搜索阶段、初级解稳定阶段和高精度解稳定阶段;如下式(1)对惯性因子w进行调节:S301, the initial number of iterations is 1, and according to the number of iterations, the iteration is divided into a global search stage, a primary solution stabilization stage, and a high-precision solution stabilization stage; the inertia factor w is adjusted by the following formula (1):

式中,wmax位于初始迭代,wmin位于迭代时期的末端,iter为当前迭代数,itermax为最大迭代次数,In the formula, w max is located at the initial iteration, w min is located at the end of the iteration period, iter is the current iteration number, and iter max is the maximum iteration number,

S302、如下式(2)、(3)、)(4)分别确定不同迭代阶段的惯性因子w和加速因子c1、c2S302. Determine the inertia factor w and acceleration factors c 1 and c 2 at different iteration stages according to the following formulas (2), (3), and) (4):

式中,kM为全局搜索阶段最大迭代次数,kN为初级解稳定阶段最大迭代次数,kMAX为高精度解稳定阶段最大迭代次数。In the formula, k M is the maximum number of iterations in the global search stage, k N is the maximum number of iterations in the stage of primary solution stabilization, and k MAX is the maximum number of iterations in the stage of high-precision solution stabilization.

进一步的,所述步骤IV中,如下式(5)、(6)分别更新所述粒子的速度vi k+1和位置xi k +1Further, in the step IV, the velocity v i k+1 and the position x i k +1 of the particle are updated respectively as follows:

式中,vi k+1为第i个粒子在第k+1代时候的速度矢量;w为粒子的惯性因子;vi k为第i个粒子在第k代时候的速度矢量;c1,c2为加速系数;r1,r2的范围为[0,1]之间随机产生的数字;为基于粒子群迭代历史上的第i个粒子的最佳位置,gbesti为G种群粒子全局最优位置;xi k+1为第k+1代时候的第i个粒子的位置;xi k为第k代时候的第i个粒子的位置;χ为罚因子;In the formula, v i k+1 is the velocity vector of the i-th particle at generation k+1; w is the inertia factor of the particle; v i k is the velocity vector of the i-th particle at generation k; c 1 , c 2 is the acceleration coefficient; the range of r 1 and r 2 is a randomly generated number between [0,1]; is the best position of the i-th particle based on the particle swarm iteration history, g besti is the global optimal position of the G population particle; x i k+1 is the position of the i-th particle at the k+1th generation; x i k is the position of the i-th particle in the k-th generation; χ is the penalty factor;

判断所述粒子控制变量是否超过所述粒子的边界条件,若超过则重新取值。It is judged whether the particle control variable exceeds the boundary condition of the particle, and if so, the value is reset.

进一步的,所述步骤V中,若判断迭代次数未超过全局搜索阶段最大迭代次数,则修正惯性因子w和加速因子c1、c2,迭代第k+1词迭代值;Further, in the step V, if it is judged that the number of iterations does not exceed the maximum number of iterations in the global search stage, the inertia factor w and the acceleration factors c 1 and c 2 are corrected, and the iteration value of the k+1th word is iterated;

所述步骤VI中,若判断迭代次数未超过初级解稳定阶段最大迭代次数,则修正惯性因子w和加速因子c1、c2,迭代第k+1词迭代值;In the step VI, if it is judged that the number of iterations does not exceed the maximum number of iterations in the primary solution stabilization stage, the inertia factor w and the acceleration factors c 1 and c 2 are corrected, and the iteration value of the k+1 word is iterated;

所述步骤VII中,若判断迭代次数未超过迭代上限,则修正惯性因子w和加速因子c1、c2,迭代第k+1词迭代值。In the step VII, if it is judged that the number of iterations does not exceed the upper limit of iterations, the inertia factor w and the acceleration factors c 1 and c 2 are corrected, and the iteration value of the k+1th word is iterated.

进一步的,所述步骤VIII包括:Further, said step VIII includes:

若粒子的当前粒子状态优于迭代过程中的历史个体极值,则以此状态更新历史个体极值若邻域粒子中有粒子的当前状态粒子优于迭代过程中的邻域历史极值,则以此状态更新邻域历史最优gbestIf the current particle state of the particle is better than the historical individual extremum in the iterative process, update the historical individual extremum with this state If there are particles in the neighborhood whose current state particles are better than the neighborhood history extremum in the iterative process, update the neighborhood history optimal g best with this state;

根据所述WAMS测量的节点电压给出电网电压水平,确定无功容量配置方案。The grid voltage level is given according to the node voltage measured by the WAMS, and the reactive capacity configuration scheme is determined.

与现有技术相比,本发明的有益效果在于:Compared with prior art, the beneficial effect of the present invention is:

1、本发明的方法充分利用EMS系统的基础电网模型、参数及运行断面信息,结合WAMS系统的高精度高密度采集数据,实现了在线静态电压支撑能力评估。1. The method of the present invention makes full use of the basic power grid model, parameters and operating section information of the EMS system, combined with the high-precision and high-density collection data of the WAMS system, and realizes the online static voltage support capability evaluation.

2、本发明的方法是将搜索空间划分为若干子空间,在各子空间进行POS算法寻优;通过分析惯性因子作用机理的基础上,在各个子区域中设计了一个根据种群多样性和进化代数自适应调节的惯性因子计算方法,通过变换搜索步长,提高了算法的局部搜索能力。2. The method of the present invention is to divide the search space into several subspaces, and carry out POS algorithm optimization in each subspace; on the basis of analyzing the mechanism of action of inertial factors, in each subarea, a system is designed according to population diversity and evolution Algebraic self-adaptive adjustment inertia factor calculation method improves the local search ability of the algorithm by changing the search step size.

3、与标准算法和自适应变异算法相比,本发明的方法提高了优化的精度,在保证收敛速度的同时,结合无功优化的实际情况,实现了前期全局搜索能力、后其局部搜索精度的提高,最终得到全局最优解。3. Compared with the standard algorithm and the self-adaptive mutation algorithm, the method of the present invention improves the precision of optimization. While ensuring the convergence speed, combined with the actual situation of reactive power optimization, it realizes the global search ability in the early stage and the local search accuracy in the later stage. Finally, the global optimal solution is obtained.

4、本发明的方法算法基于WAMS系统的系统参数能够实现系统运行条件变化时的动态自适应。4. The method and algorithm of the present invention can realize dynamic self-adaptation when system operating conditions change based on the system parameters of the WAMS system.

附图说明Description of drawings

图1为本发明提供的随机惯性因子粒子群优化算法的电网无功容量配置方法流程图。Fig. 1 is a flowchart of a method for configuring reactive power capacity of a power grid based on a random inertial factor particle swarm optimization algorithm provided by the present invention.

具体实施方式detailed description

下面结合附图对本发明作进一步说明。The present invention will be further described below in conjunction with accompanying drawing.

以所要进行优化的电力系统的有功损耗(即网损)为适应度函数,以找到系统最小网损为目的;采用随机惯性因子粒子群优化算法的求解潮流,各支路网损叠加求取全系统网损。求得的全局最优解为系统最小网损,对应的最优粒子即为发电机电压、变压器分接头档位、并联电容器组投切组数等控制变量参数。Taking the active power loss (i.e. network loss) of the power system to be optimized as the fitness function, the purpose is to find the minimum network loss of the system; the random inertia factor particle swarm optimization algorithm is used to solve the power flow, and the network loss of each branch is superimposed to obtain the total System network loss. The obtained global optimal solution is the minimum network loss of the system, and the corresponding optimal particles are control variable parameters such as generator voltage, transformer tap position, and number of shunt capacitor bank switching groups.

如图1所示,图1为本发明提供的随机惯性因子粒子群优化算法的电网无功容量配置方法流程图;该方法包括以下步骤:As shown in Fig. 1, Fig. 1 is the flow chart of the grid reactive capacity configuration method of the stochastic inertial factor particle swarm optimization algorithm provided by the present invention; the method comprises the following steps:

步骤一、实时获取WAMS系统的系统参数,设定粒子的边界条件;Step 1. Obtain the system parameters of the WAMS system in real time, and set the boundary conditions of the particles;

步骤二、初始化种群,确定所述粒子的适应值;Step 2, initialize the population, and determine the fitness value of the particles;

步骤三、划分迭代阶段;Step 3: Divide iteration phases;

步骤四、更新所述粒子的速度和位置;Step 4, updating the velocity and position of the particles;

步骤五、判断迭代次数是否到全局搜索阶段最大迭代次数;Step 5, judging whether the number of iterations reaches the maximum number of iterations in the global search phase;

步骤六、判断迭代次数是否到初级解稳定阶段最大迭代次数;Step 6, judging whether the number of iterations reaches the maximum number of iterations in the stable stage of the primary solution;

步骤七、判断迭代次数是否到迭代上限;Step 7, judging whether the number of iterations reaches the upper limit of iterations;

步骤八、跌代到最大次数,输出在线无功容量配置方案。Step 8: Downgrade to the maximum number of times, and output the online reactive capacity configuration scheme.

步骤一,实时获取WAMS系统的系统参数,设定粒子的边界条件。Step 1: Obtain the system parameters of the WAMS system in real time, and set the boundary conditions of the particles.

所述系统参数包括所述电网系统的PMU测量值和所述EMS数据;The system parameters include PMU measurements of the power grid system and the EMS data;

所述PMU测量值包括母线电流、母线电压、有功功率和无功功率;The PMU measured value includes bus current, bus voltage, active power and reactive power;

所述EMS数据包括母线电压、母线电流、有功功率和无功功率;The EMS data includes bus voltage, bus current, active power and reactive power;

所述粒子的边界为基于所述电网系统的状态局势的估计结果及当前调度运行规定的实时各点电压上下限值,设定的对应算法的解空间范围;The boundary of the particle is the solution space range of the corresponding algorithm set based on the estimated result of the state situation of the power grid system and the real-time upper and lower voltage limits of each point specified by the current scheduling operation;

实施例一中,从WAMS系统实时获得系统参数进行容量配置,包括目标系统的500kV系统PMU测量值(例如500kV母线电流、母线电压、有功和无功功率)及220kV系统的EMS数据(例如220kV母线电压、母线电流、有功和无功功率)形成当前系统的状态估计结果,并基于以上形成的电网系统的状态估计结果及当前调度运行规定的实时各点电压上下限值(该电压上下限值人工设定,例如,目前由上级调度部门拟定某一个节点的随时间轴变化的电压上下限曲线),设定对应算法中的解空间范围,即,粒子的边界条件。In Embodiment 1, system parameters are obtained in real time from the WAMS system for capacity configuration, including the target system's 500kV system PMU measurement values (such as 500kV bus current, bus voltage, active and reactive power) and 220kV system EMS data (such as 220kV bus Voltage, bus current, active power and reactive power) form the state estimation result of the current system, and based on the state estimation result of the power grid system formed above and the real-time upper and lower voltage limits of each point specified in the current dispatching operation (the upper and lower limits of the voltage are artificial Setting, for example, currently the upper-level dispatching department draws up the upper and lower limit curves of the voltage of a certain node with the time axis), and sets the solution space range in the corresponding algorithm, that is, the boundary conditions of the particles.

所述状态估计结果指在给定SCADA数据和PMU数据的情况下,通过估计算法,计算出的某一时刻电网各个节点的电压幅值、相角,进而得出各个之路的有功功率及无功功率。The state estimation result refers to the voltage amplitude and phase angle of each node of the power grid at a certain moment calculated by the estimation algorithm in the case of given SCADA data and PMU data, and then the active power and reactive power of each road are obtained. work power.

由于粒子群众粒子的数量与求取的计算速度成反比,与计算精度成正比,因此依据电网运行当前的局势风险程度设定粒子群数量。Since the number of particle swarm particles is inversely proportional to the calculated calculation speed and directly proportional to the calculation accuracy, the number of particle swarms is set according to the current risk level of the power grid operation.

粒子群边界条件受到电网实际运行规定,如1天24小时的不同时刻、一个季度对于电压点都有专门的电压值带宽曲线的对某一点的电压浮动区域有规定。算法最后搜索到的最优解必须是对应时刻带宽曲线之内的解。Particle swarm boundary conditions are regulated by the actual operation of the power grid. For example, there are special voltage value bandwidth curves for voltage points at different times of 24 hours a day and a season, and there are regulations for the voltage floating area of a certain point. The optimal solution searched by the algorithm at the end must be the solution within the bandwidth curve at the corresponding time.

粒子群数量是随着电网时间的变化而进行动态设定,例如,上午9点钟为早高峰期间,电网负荷波动较大,此时追求速度大于追求精度,因此粒子群数量设定较少,以便快速求取出容量配置解。而到晚上12点至凌晨5点,系统负荷普遍较低,此时负荷变化不大,精度要求更大,因此所设定的粒子群种群数量就会相对较高。目前设定值具体到数量可以采用经验设定的方法。The number of particle swarms is dynamically set as the grid time changes. For example, during the morning peak period at 9 o'clock in the morning, the grid load fluctuates greatly. At this time, the pursuit of speed is greater than the pursuit of accuracy, so the number of particle swarms is set less. In order to quickly find out the capacity allocation solution. From 12:00 pm to 5:00 am, the system load is generally low. At this time, the load does not change much, and the accuracy requirement is greater, so the set particle swarm population number will be relatively high. At present, the set value is specific to the quantity, and the method of empirical setting can be used.

步骤二、初始化种群,确定所述粒子的适应值。包括以下步骤:Step 2: Initialize the population and determine the fitness value of the particles. Include the following steps:

S201、获取配电网系统的节点信息和支路信息,设置控制变量的个数及各控制变量的取值范围以及初始种群的群体规模;S201. Obtain node information and branch information of the distribution network system, set the number of control variables, the value range of each control variable, and the group size of the initial population;

对所述初始种群进行初始化并设置初始参数,获得初始粒子群;Initializing the initial population and setting initial parameters to obtain an initial particle population;

所述初始化是指在粒子取值范围内对所述初始种群中的粒子随机选择粒子的初始速度和初始位置,所述初始参数包括最大迭代次数和适应阈值;The initialization refers to the initial velocity and the initial position of the particles in the initial population randomly selected within the value range of the particles, and the initial parameters include the maximum number of iterations and the adaptation threshold;

S202、如下式确定无功优化的目标函数:S202. Determine the objective function of reactive power optimization as follows:

式中,k=(i,j),i∈NB,NB为所有母线节点集合,j∈Ni,Ni为与母线节点i相关联的节点集合;为输电网络有功功率损耗;gk为支路k的导纳;vi,vj分别母线节点i和j的电压幅值;θij为负荷母线i和j的角度差;In the formula, k=(i,j), i∈N B , N B is the set of all bus nodes, j∈N i , N i is the set of nodes associated with bus node i; is the active power loss of the transmission network; g k is the admittance of branch k; v i , v j are the voltage amplitudes of bus nodes i and j respectively; θ ij is the angle difference between load bus i and j;

所述输电网络有功功率损耗根据WAMS系统实时获得系统参数确定,本实施例中参数包括目标系统的500kV系统PMU测量值(例如500kV母线电压、电流、有功和无功功率)及220kV系统的EMS数据(例如220kV母线电压、母线电流、有功和无功功率),根据上述测量值确定有功功率损耗。The active power loss of the transmission network is determined according to the system parameters obtained in real time by the WAMS system. In this embodiment, the parameters include the PMU measurement values of the 500kV system of the target system (such as 500kV bus voltage, current, active and reactive power) and the EMS data of the 220kV system (eg 220kV bus voltage, bus current, active and reactive power), and determine the active power loss based on the above measured values.

S202、如下式确定等式约束条件:S202. Determine the equality constraints as follows:

有功功率平衡约束 Active Power Balance Constraints

即无功功率平衡约束 i.e. reactive power balance constraint

式中,Pgi节点i的发电机有功功率注入;Pdi为节点i的负荷有功功率;gij、Bij分别为节点i、j之间的电导和电纳;Qgi是节点i的发电机无功功率注入;Qdi为节点i的负荷无功功率;vi,vj分别母线节点i和j的电压幅值;θij为负荷母线i和j的角度差。In the formula, P gi is the generator active power injection of node i; P di is the load active power of node i; g ij and B ij are the conductance and susceptance between nodes i and j respectively; Q gi is the power generation of node i machine reactive power injection; Q di is the load reactive power of node i; v i , v j are the voltage amplitudes of bus nodes i and j respectively; θ ij is the angle difference between load bus i and j.

步骤三、划分迭代阶段。包括以下步骤:Step 3: Divide iteration phases. Include the following steps:

初始迭代次数为1,根据迭代次数将迭代分为全局搜索阶段、初级解稳定阶段和高精度解稳定阶段;如下式(1)对惯性因子w进行调节:The initial number of iterations is 1, and according to the number of iterations, the iterations are divided into the global search stage, the primary solution stabilization stage, and the high-precision solution stabilization stage; the following formula (1) adjusts the inertia factor w:

式中,wmax位于初始迭代,wmin位于迭代时期的末端,iter为当前迭代数,itermax为最大迭代次数,In the formula, w max is located at the initial iteration, w min is located at the end of the iteration period, iter is the current iteration number, and iter max is the maximum iteration number,

如下式(2)、(3)、)(4)分别确定不同迭代阶段的惯性因子w和加速因子c1、c2Determine the inertia factor w and acceleration factors c 1 and c 2 at different iteration stages as follows (2), (3) and (4):

式中,kM为全局搜索阶段最大迭代次数,kN为初级解稳定阶段最大迭代次数,kMAX为高精度解稳定阶段最大迭代次数。In the formula, k M is the maximum number of iterations in the global search stage, k N is the maximum number of iterations in the stage of primary solution stabilization, and k MAX is the maximum number of iterations in the stage of high-precision solution stabilization.

步骤四,更新所述粒子的速度和位置。Step 4, update the velocity and position of the particle.

更新所述粒子的速度和位置包括以下步骤:Updating the velocity and position of the particles includes the following steps:

如下式(5)、(6)分别对所述粒子的速度vi k+1和位置xi k+1做如下更新:The following equations (5) and (6) respectively update the velocity v i k+1 and position x i k+1 of the particle as follows:

式中,vi k+1为第i个粒子在第k+1代时候的速度矢量;w为粒子的惯性因子;vi k为第i个粒子在第k代时候的速度矢量;c1,c2为正常数,范围为[0,2.5];r1,r2的范围为[0,1]之间随机产生的数字;为基于粒子群迭代历史上的第i个粒子的最佳位置;gbesti为G种群粒子全局最优位置;xi k+1为第k+1代时候的第i个粒子的位置;xi k为第k代时候的第i个粒子的位置;χ为罚因子,用来确保收敛;In the formula, v i k+1 is the velocity vector of the i-th particle at generation k+1; w is the inertia factor of the particle; v i k is the velocity vector of the i-th particle at generation k; c 1 , c 2 is a normal number with a range of [0,2.5]; the range of r 1 and r 2 is a randomly generated number between [0,1]; is the best position of the i-th particle based on the particle swarm iteration history; g besti is the global optimal position of the G population particle; x i k+1 is the position of the i-th particle at the k+1th generation; x i k is the position of the i-th particle at the kth generation; χ is a penalty factor to ensure convergence;

判断所述粒子控制变量是否超过步骤一种设定的所述粒子边界条件,若超过则重新取值。Judging whether the particle control variable exceeds the particle boundary condition set in step 1, and re-accepting the value if exceeding.

步骤五中,若判断迭代次数未超过全局搜索阶段最大迭代次数,则修正惯性因子w和加速因子c1、c2,迭代第k+1词迭代值;In step 5, if it is judged that the number of iterations does not exceed the maximum number of iterations in the global search stage, the inertia factor w and acceleration factors c 1 and c 2 are corrected, and the iteration value of the k+1th word is iterated;

步骤六中,若判断迭代次数未超过初级解稳定阶段最大迭代次数,则修正惯性因子w和加速因子c1、c2,迭代第k+1词迭代值;In step six, if it is judged that the number of iterations does not exceed the maximum number of iterations in the primary solution stabilization stage, the inertia factor w and the acceleration factors c 1 and c 2 are corrected, and the iteration value of the k+1 word is iterated;

步骤七中,若判断迭代次数未超过迭代上限,则修正惯性因子w和加速因子c1、c2,迭代第k+1词迭代值。In step 7, if it is judged that the number of iterations does not exceed the upper limit of iterations, the inertia factor w and the acceleration factors c 1 and c 2 are corrected, and the iteration value of the k+1th word is iterated.

步骤八、跌代到最大次数,输出在线无功容量配置方案。Step 8: Downgrade to the maximum number of times, and output the online reactive capacity configuration scheme.

若粒子的当前粒子状态优于迭代过程中的历史个体极值,则以此状态更新历史个体极值若邻域粒子中有粒子的当前状态粒子优于迭代过程中的邻域历史极值,则以此状态更新邻域历史最优gbestIf the current particle state of the particle is better than the historical individual extremum in the iterative process, update the historical individual extremum with this state If there are particles in the neighborhood whose current state particles are better than the neighborhood history extremum in the iterative process, update the neighborhood history optimal g best with this state;

根据所述WAMS测量的节点电压给出电网电压水平,确定无功容量配置方案。The grid voltage level is given according to the node voltage measured by the WAMS, and the reactive capacity configuration scheme is determined.

最后应当说明的是:以上实施例仅用以说明本发明的技术方案而非对其限制,尽管参照上述实施例对本发明进行了详细的说明,所属领域的普通技术人员应当理解:依然可以对本发明的具体实施方式进行修改或者等同替换,而未脱离本发明精神和范围的任何修改或者等同替换,其均应涵盖在本发明的权利要求范围当中。Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit them. Although the present invention has been described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: the present invention can still be Any modification or equivalent replacement that does not depart from the spirit and scope of the present invention shall be covered by the scope of the claims of the present invention.

Claims (6)

1. the electric network reactive-load capacity collocation method of a random inertial factor particle swarm optimization algorithm, it is characterised in that: described side Method comprises the following steps:
The systematic parameter of I, in real time acquisition WAMS system, sets the boundary condition of particle;
II, initialization population, set up the idle work optimization model of electrical network, determine the adaptive value of described particle;
III, division iteration phase;
IV, the speed updating described particle and position;
V, judge whether iterations arrives global search stage maximum iteration time;
VI, judge whether iterations arrives and primary solve stabilization sub stage maximum iteration time;
VII, judge whether iterations arrives high precision solution stabilization sub stage maximum iteration time;
VIII, iterate to each iteration phase maximum iteration time, export online reactive capability allocation plan;
In described step V, if judging, iterations not less than global search stage maximum iteration time, then revises inertial factor w With accelerated factor c1、c2,+1 iterative value of iteration kth;
In described step VI, if judge iterations not less than primary solution stabilization sub stage maximum iteration time, then revise inertia because of Sub-w and accelerated factor c1、c2,+1 iterative value of iteration kth;
In described step VII, if judging, iterations not less than high precision solution stabilization sub stage maximum iteration time, then revises inertia Factor w and accelerated factor c1、c2,+1 iterative value of iteration kth.
2. the method for claim 1, it is characterised in that: the described systematic parameter of described step I includes network system PMU measured value and EMS data;
Described PMU measured value includes bus current, busbar voltage, active power and reactive power;
Described EMS data include busbar voltage, bus current, active power and reactive power;
The boundary condition of described particle is state estimation result based on described network system and the reality of current scheduling operating provisions Time each point voltage upper lower limit value, the solution space scope of the corresponding algorithm of setting;
3. the method for claim 1, it is characterised in that: described step II comprises the following steps:
S201, obtain the nodal information of distribution network system and branch road information, the number of control variable and each control variable are set Span and the population size of initial population;
Described initial population is initialized and initial parameter is set, it is thus achieved that primary group;
Initialize the described primary group of acquisition to refer in particle span, the particle in described initial population be selected at random Selecting initial velocity and the initial position of particle, described initial parameter includes maximum iteration time and adaptive value;
S202, to choose power transmission network active power loss be object function, as following formula determines the mathematical model of idle work optimization:
min Σ k ∈ N E P k l o s s = Σ k ∈ N E g k ( v i 2 + v j 2 - 2 v i v j cosθ i j )
In formula, and k=(i, j), i ∈ NB, NBFor all bus nodes set, j ∈ Ni, NiFor the node being associated with bus nodes i Set;For power transmission network active power loss;gkAdmittance for branch road k;vi,vjIt is respectively bus nodes i and the electricity of j Pressure amplitude value;θijDifferential seat angle for load bus i and j;
S203, determine equality constraint such as following formula:
With
In formula, PgiThe generator active power of node i injects;PdiLoad active power for node i;gij、BijIt is respectively node Conductance between i, j and susceptance;QgiIt it is the generator reactive power injection of node i;QdiReactive load power for node i;vi, vjBus nodes i and the voltage magnitude of j respectively;θijDifferential seat angle for load bus i and j.
4. the method for claim 1, it is characterised in that: described step III comprises the following steps:
S301, primary iteration number of times are 1, according to iterations iteration is divided into the global search stage, primary solve the stabilization sub stage and The high precision solution stabilization sub stage;As inertial factor w is adjusted by following formula (1):
w = w m a x - w m a x - w min iter m a x × i t e r - - - ( 1 )
In formula, wmaxIt is positioned at primary iteration, wminBeing positioned at the end in iteration period, iter is current iteration number, itermaxFor maximum Iterations,
S302, determine inertial factor w and accelerated factor c of different iteration phase respectively such as following formula (2), (3), (4)1、c2:
c 1 = 2.1 , 1 &le; i t e r < k M 1.05 , k M &le; i t e r < k N 0.525 , k N &le; i t e r < k m a x - - - ( 2 )
c 2 = 2.0 , 1 &le; i t e r < k M 1 , k M &le; i t e r < k N 0.5 , k N &le; i t e r < k m a x - - - ( 3 )
w = 2.1 , 1 &le; i t e r < k M 1.05 , k M &le; i t e r < k N 0.525 , k N &le; i t e r < K M A X - - - ( 4 )
In formula, kMFor global search stage maximum iteration time, kNFor primary solution stabilization sub stage maximum iteration time, kMAXFor high-precision Degree solves stabilization sub stage maximum iteration time.
5. the method for claim 1, it is characterised in that: in described step IV, as described in following formula (5), (6) update respectively The speed v of particlei k+1With position xi k+1:
v i k + 1 = w &times; v i k + c 1 &times; r 1 &times; ( P b e s t i - x i k ) + c 2 &times; r 2 &times; ( g b e s t i - x i k ) - - - ( 5 )
x i k + 1 = x i k + &chi; &times; v i k + 1 - - - ( 6 )
In formula, vi k+1For the i-th particle velocity when+1 generation of kth;W is the inertial factor of particle;vi kFor i-th grain Son kth for time velocity;c1,c2For accelerated factor;r1,r2In the range of the numeral randomly generated between [0,1];For optimum position based on population iteration historical i-th particle, gbestiFor G population particle global optimum position; xi k+1Position for i-th particle when+1 generation of kth;xi kFor kth for time the position of i-th particle;X for punishment because of Son;
Judge whether particle control variable exceedes the boundary condition of described particle, if exceeding, value again.
6. method as claimed in claim 5, it is characterised in that: described step VIII includes:
If the history individuality extreme value that the current particle state of particle is better than in iterative process, then with this state more new historical individuality pole Value pbest;If neighborhood particle having the neighborhood history extreme value that the current particle state of particle is better than in iterative process, then with this shape State updates neighborhood history optimal value gbest
Provide voltage level of power grid according to the node voltage that described WAMS measures, determine reactive capability allocation plan.
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