CN106712009A - Safe operation optimization method for initiative power distribution network based on distributed optical storage - Google Patents

Safe operation optimization method for initiative power distribution network based on distributed optical storage Download PDF

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CN106712009A
CN106712009A CN201710041575.1A CN201710041575A CN106712009A CN 106712009 A CN106712009 A CN 106712009A CN 201710041575 A CN201710041575 A CN 201710041575A CN 106712009 A CN106712009 A CN 106712009A
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林今
郭万方
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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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
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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
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    • 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

本发明提供的一种基于分布式光储的主动配电网安全运行优化方法,包括如下步骤:S1.获取分布式光储的配电网与主网连接节点的节点信息以及配电网参数,并筛选出松弛节点;S2.构建配电网的运行评估模型,并对评估模型进行最优解求取;通过本发明,能够对光伏发电的主动配电网进行系统全面的分析,将配电网的各环节均考虑其中,从而确保分析结果的准确性,而且利于光伏发电产生电能安全稳定的并入电网,而且算法简单。

A method for optimizing the safe operation of an active distribution network based on distributed optical storage provided by the present invention includes the following steps: S1. Acquiring the node information and distribution network parameters of the distribution network and the main network connection node of the distributed optical storage, And screen out the slack nodes; S2. Construct the operation evaluation model of the distribution network, and obtain the optimal solution for the evaluation model; through the present invention, the active distribution network of photovoltaic power generation can be systematically and comprehensively analyzed, and the power distribution All aspects of the grid are considered to ensure the accuracy of the analysis results, and it is conducive to the safe and stable integration of photovoltaic power generation into the grid, and the algorithm is simple.

Description

基于分布式光储的主动配电网安全运行优化方法An optimization method for safe operation of active distribution network based on distributed photovoltaic storage

技术领域technical field

本发明涉及一种电力优化方法,尤其涉及一种基于分布式光储的主动配电网安全运行优化方法。The invention relates to an electric power optimization method, in particular to a method for optimizing the safe operation of an active distribution network based on distributed optical storage.

背景技术Background technique

随着化石能源的枯竭以及化石能源对环境的严重影响,人们迫切需要环保的可再生能源,目前,现有的可再生清洁能源有水能、风能和太阳能,由于太阳能在使用过程中更加清洁,分布也更为广泛,因此,太阳能发电受到越来越多的重视。With the depletion of fossil energy and the serious impact of fossil energy on the environment, people urgently need environmentally friendly renewable energy. At present, the existing renewable clean energy includes water energy, wind energy and solar energy. Since solar energy is cleaner during use, The distribution is also wider, therefore, solar power generation is receiving more and more attention.

太阳能转换为电能一般通过光伏电池(又称光伏电池阵列)进行转化,光伏发电中,包括光伏电池、蓄电池、电子变换器(整流器和逆变器)、电容器以及负载等,由于光伏分布式发电对于环境的要求极高,因此,其输出功率波动大,为了使整个电网系统稳定运行,因此,需要对光伏发电的配电网的运行进行分析,现有技术中,对于光伏发电的配电网分析均是基于某一具体控制目标进行分析的,因此,在分析过程中将控制目标和其他因素相隔离开来,比如,对蓄电池的性能进行分析,那么仅仅是对蓄电池进行分析,而光伏电池、负载等因素则为忽略,因此,造成最终的分析结果不准确,不利于配电网的安全运行。The conversion of solar energy into electrical energy is generally carried out through photovoltaic cells (also known as photovoltaic cell arrays). Photovoltaic power generation includes photovoltaic cells, batteries, electronic converters (rectifiers and inverters), capacitors, and loads. The environmental requirements are extremely high, so its output power fluctuates greatly. In order to ensure the stable operation of the entire power grid system, it is necessary to analyze the operation of the distribution network of photovoltaic power generation. In the prior art, the analysis of the distribution network of photovoltaic power generation They are all analyzed based on a specific control target. Therefore, the control target is isolated from other factors during the analysis process. And other factors are ignored, therefore, the final analysis results are inaccurate, which is not conducive to the safe operation of the distribution network.

因此,需要提出一种新的方法,能够对光伏发电的主动配电网进行系统全面的分析,将配电网的各环节均考虑其中,从而确保分析结果的准确性,而且利于光伏发电产生电能安全稳定的并入电网。Therefore, it is necessary to propose a new method that can systematically and comprehensively analyze the active distribution network of photovoltaic power generation, and consider all aspects of the distribution network, so as to ensure the accuracy of the analysis results and facilitate the generation of electric energy by photovoltaic power generation. Safe and stable integration into the grid.

发明内容Contents of the invention

有鉴于此,本发明的目的是提供一种基于分布式光储的主动配电网安全运行优化方法,能够对光伏发电的主动配电网进行系统全面的分析,将配电网的各环节均考虑其中,从而确保分析结果的准确性,而且利于光伏发电产生电能安全稳定的并入电网。In view of this, the purpose of the present invention is to provide a method for optimizing the safe operation of the active distribution network based on distributed photovoltaic storage, which can systematically and comprehensively analyze the active distribution network of photovoltaic power generation, and integrate all links of the distribution network Taking it into account will ensure the accuracy of the analysis results and facilitate the safe and stable integration of photovoltaic power generation into the grid.

本发明提供的一种基于分布式光储的主动配电网安全运行优化方法,包括如下步骤:A method for optimizing the safe operation of an active distribution network based on distributed optical storage provided by the present invention includes the following steps:

S1.获取分布式光储的配电网与主网连接节点的节点信息以及配电网参数,并筛选出松弛节点;S1. Obtain the node information and distribution network parameters of the distribution network and the main network connection node of the distributed optical storage, and filter out the slack nodes;

S2.构建配电网的运行评估模型,并对评估模型进行最优解求取。S2. Construct the operation evaluation model of the distribution network, and obtain the optimal solution for the evaluation model.

进一步,其特征在于:步骤S1中,配电网参数包括配电网导纳、配电网阻抗、配电网电阻以及配电网电抗,并将各参数形成相应的矩阵,其中,Y表示导纳矩阵,Z为阻抗矩阵且Z=Y-1,R为电阻矩阵且R=real(Z),X为电抗绝阵且X=imag(Z)。Further, it is characterized in that: in step S1, the distribution network parameters include distribution network admittance, distribution network impedance, distribution network resistance and distribution network reactance, and each parameter is formed into a corresponding matrix, wherein Y represents the conductance Nano matrix, Z is impedance matrix and Z=Y −1 , R is resistance matrix and R=real(Z), X is reactance matrix and X=imag(Z).

进一步,步骤S2中,根据如下方法构建电网的运行评估模型:Further, in step S2, the operation evaluation model of the power grid is constructed according to the following method:

S21.构建配电网节点电流注入状态方程:S21. Construct the distribution network node current injection state equation:

其中,Ure和Uim分别为节点电压的实部分量和虚部分量,Ire和Iim分别为节点电流的实部分量和虚部分量,△Ire和△Iim分别为节点电流的变化量的实部分量和虚部分量,E为单位矩阵; in, U re and U im are the real and imaginary components of the node voltage, respectively, I re and I im are the real and imaginary components of the node current, respectively, △I re and △I im are the variation of the node current The real and imaginary components of , E is the identity matrix;

S22.根据电网节点电流注入状态量获取节点注入的有功功率Pi和无功功率QiS22. Obtain the active power P i and reactive power Q i injected by the node according to the grid node current injection state quantity:

其中,Rij为节点i到节点j之间的电阻,Xij为节点i到节点j之间的电抗,N表示配电网的节点个数;Among them, R ij is the resistance between node i and node j, Xij is the reactance between node i and node j, and N represents the number of nodes in the distribution network;

S23.将有功功率Pi和无功功率Qi微分,求得配电网的灵敏度矩阵:S23. Pair active power P i and reactive power Q i to with Differentiate to obtain the sensitivity matrix of the distribution network:

其中,J为配电网的灵敏度矩阵,△Pi和△Qi为节点i的有功功率和无功功率的变化量,i=1,2,…,N; Among them, J is the sensitivity matrix of distribution network, △P i and △Q i are the variation of active power and reactive power of node i, i=1,2,...,N;

S24.对配电网的灵敏度矩阵进行去松弛化处理:由于松弛节点的电压为参考电压,那么松弛节点s有:S24. Perform de-relaxation processing on the sensitivity matrix of the distribution network: since the voltage of the relaxed node is the reference voltage, then the relaxed node s has:

由此,对于节点s:其电压具有如下方程: Thus, for node s: its voltage has the following equation:

根据公式(5)得出如下矩阵:According to the formula (5), the following matrix is obtained:

其中,Z2为公式(5)中不包含松弛节点s的系数矩阵;Among them, Z2 is the coefficient matrix that does not contain the relaxed node s in formula (5);

根据公式(1)和(4)以及矩阵(6)得出配电网中除松弛节点外的电压和电流方程:According to formulas (1) and (4) and matrix (6), the voltage and current equations in the distribution network except for the relaxed nodes are obtained:

其中,J3和J4为雅克比矩阵中与目标变量相关的子矩阵; in, J 3 and J 4 are sub-matrixes relevant to the target variable in the Jacobian matrix;

S25.将获取配电网中的可控设备和不可控设备的功率,并形成可控有功功率矩阵△Pu、可控无功功率矩阵△Qu、不可控有功率矩阵△Pv以及不可控无功功率矩阵△QvS25. The power of the controllable equipment and uncontrollable equipment in the distribution network will be obtained, and the controllable active power matrix △P u , the controllable reactive power matrix △Q u , the uncontrollable active power matrix △P v and the uncontrollable active power matrix △P v will be formed. Control reactive power matrix △Q v :

△Qv=[△QLOAD]; △Q v = [△Q LOAD ];

其中,△PDG为配电网中分布式电源的有功功率变化量,△PBESS为配电网中蓄电池的有功功率变化量,△QCAP为配电网中电容器的无功功率变化量;△QDG为配电网中分布式电源的无功功率变化量,△PLOAD为配电网中负载的有功功率变化量,△PPV为配电网中光伏电池的有功功率变化量,△QLOAD为配电网中负载的无功功率变化量,并根据上述矩阵得到如下矩阵:Among them, △P DG is the active power change of distributed power in distribution network, △P BESS is the active power change of battery in distribution network, △Q CAP is the reactive power change of capacitor in distribution network; △Q DG is the reactive power change of distributed power in the distribution network, △P LOAD is the active power change of the load in the distribution network, △P PV is the active power change of photovoltaic cells in the distribution network, △ Q LOAD is the reactive power variation of the load in the distribution network, and the following matrix is obtained according to the above matrix:

其中,F为由配电网的确定的常数矩阵,△Pin为蓄电池的充电有功功率,△Pout为蓄电池的放电有功功率; Among them, F is a constant matrix determined by the distribution network, △P in is the charging active power of the battery, and △P out is the discharging active power of the battery;

S26.将各参数分为状态变量x1、扰动变量v1以及控制变量u1:S26. Divide each parameter into state variable x 1 , disturbance variable v 1 and control variable u1:

x1=[Ure Uim Ire Iim PDG Pin Pout QCAP QDG EB]Tx 1 =[U re U im I re I im P DG P in P out Q CAP Q DG E B ] T ;

u1=[△PDG △Pin △Pout △QCAP △QDG]Tu 1 =[△P DG △P in △P out △Q CAP △Q DG ] T ;

v1=[△PLOAD △PPV △QLOAD];其中,EB为蓄电池的容量;v 1 =[△P LOAD △P PV △Q LOAD ]; where, E B is the capacity of the storage battery;

此时,评估状态模型为:At this point, the evaluation state model is:

其中: in:

其中: in:

B0为矩阵中与可控设备相关的量组成的矩阵,D0为矩阵中与不可控设备相关的量组成的矩阵;B 0 is the matrix A matrix composed of quantities related to controllable equipment in , D 0 is the matrix A matrix composed of quantities related to uncontrollable equipment in ;

将松弛节点的松弛因数ε加入到评估模型形成最终的评估模型:The relaxation factor ε of the relaxed node is added to the evaluation model to form the final evaluation model:

进一步,步骤S2中,通过cplex函数对状态评估模型求最优解。Further, in step S2, the optimal solution of the state evaluation model is obtained through the cplex function.

本发明的有益效果:通过本发明,能够对光伏发电的主动配电网进行系统全面的分析,将配电网的各环节均考虑其中,从而确保分析结果的准确性,而且利于光伏发电产生电能安全稳定的并入电网,而且算法简单。Beneficial effects of the present invention: through the present invention, the active distribution network of photovoltaic power generation can be systematically and comprehensively analyzed, and all links of the distribution network are taken into consideration, thereby ensuring the accuracy of the analysis results and facilitating the generation of electric energy by photovoltaic power generation Safe and stable integration into the grid, and the algorithm is simple.

附图说明Description of drawings

下面结合附图和实施例对本发明作进一步描述:The present invention will be further described below in conjunction with accompanying drawing and embodiment:

图1为本发明的流程图。Fig. 1 is a flowchart of the present invention.

具体实施方式detailed description

图1为本发明的流程图,如图所示,本发明提供的一种基于分布式光储的主动配电网安全运行优化方法,包括如下步骤:Fig. 1 is a flowchart of the present invention. As shown in the figure, a method for optimizing the safe operation of an active distribution network based on distributed optical storage provided by the present invention includes the following steps:

S1.获取分布式光储的配电网与主网连接节点的节点信息以及配电网参数,并筛选出松弛节点;S1. Obtain the node information and distribution network parameters of the distribution network and the main network connection node of the distributed optical storage, and filter out the slack nodes;

S2.构建配电网的运行评估模型,并对评估模型进行最优解求取;通过本发明,能够对光伏发电的主动配电网进行系统全面的分析,将配电网的各环节均考虑其中,从而确保分析结果的准确性,而且利于光伏发电产生电能安全稳定的并入电网,而且算法简单。S2. Construct the operation evaluation model of the distribution network, and obtain the optimal solution for the evaluation model; through the present invention, the active distribution network of photovoltaic power generation can be systematically and comprehensively analyzed, and all links of the distribution network will be considered Among them, the accuracy of the analysis results is ensured, and it is conducive to the safe and stable integration of the electric energy generated by photovoltaic power generation into the grid, and the algorithm is simple.

本实施例中,其特征在于:步骤S1中,配电网参数包括配电网导纳、配电网阻抗、配电网电阻以及配电网电抗,并将各参数形成相应的矩阵,其中,Y表示导纳矩阵,Z为阻抗矩阵且Z=Y-1,R为电阻矩阵且R=real(Z),X为电抗绝阵且X=imag(Z),电阻R为阻抗Z的实部分量,电抗X为阻抗Z的虚部分量。In this embodiment, it is characterized in that: in step S1, the distribution network parameters include distribution network admittance, distribution network impedance, distribution network resistance and distribution network reactance, and each parameter is formed into a corresponding matrix, wherein, Y represents the admittance matrix, Z is the impedance matrix and Z=Y -1 , R is the resistance matrix and R=real(Z), X is the reactance absolute array and X=imag(Z), and the resistance R is the real part of the impedance Z The reactance X is the imaginary component of the impedance Z.

本实施例中,步骤S2中,根据如下方法构建电网的运行评估模型:In this embodiment, in step S2, the operation evaluation model of the power grid is constructed according to the following method:

S21.构建配电网节点电流注入状态方程:S21. Construct the distribution network node current injection state equation:

其中,Ure和Uim分别为节点电压的实部分量和虚部分量,Ire和Iim分别为节点电流的实部分量和虚部分量,△Ire和△Iim分别为节点电流的变化量的实部分量和虚部分量,E为单位矩阵; in, U re and U im are the real and imaginary components of the node voltage, respectively, I re and I im are the real and imaginary components of the node current, respectively, △I re and △I im are the variation of the node current The real and imaginary components of , E is the identity matrix;

S22.根据电网节点电流注入状态量获取节点注入的有功功率Pi和无功功率QiS22. Obtain the active power P i and reactive power Q i injected by the node according to the grid node current injection state quantity:

其中,Rij为节点i到节点j之间的电阻,Xij为节点i到节点j之间的电抗,N表示配电网的节点个数;Among them, R ij is the resistance between node i and node j, Xij is the reactance between node i and node j, and N represents the number of nodes in the distribution network;

S23.将有功功率Pi和无功功率Qi微分,求得配电网的灵敏度矩阵:S23. Pair active power P i and reactive power Q i to with Differentiate to obtain the sensitivity matrix of the distribution network:

其中,J为配电网的灵敏度矩阵,△Pi和△Qi为节点i的有功功率和无功功率的变化量,i=1,2,…,N; Among them, J is the sensitivity matrix of distribution network, △P i and △Q i are the variation of active power and reactive power of node i, i=1,2,...,N;

S24.对配电网的灵敏度矩阵进行去松弛化处理:由于松弛节点的电压为参考电压,那么松弛节点s有:S24. Perform de-relaxation processing on the sensitivity matrix of the distribution network: since the voltage of the relaxed node is the reference voltage, then the relaxed node s has:

由此,对于节点s:其电压具有如下方程: Thus, for node s: its voltage has the following equation:

根据公式(5)得出如下矩阵:According to the formula (5), the following matrix is obtained:

其中,Z2为公式(5)中不包含松弛节点s的系数矩阵;Among them, Z2 is the coefficient matrix that does not contain the relaxed node s in formula (5);

根据公式(1)和(4)以及矩阵(6)得出配电网中除松弛节点外的电压和电流方程:According to formulas (1) and (4) and matrix (6), the voltage and current equations in the distribution network except for the relaxed nodes are obtained:

其中,J3和J4为雅克比矩阵中与目标变量相关的子矩阵; in, J 3 and J 4 are sub-matrixes relevant to the target variable in the Jacobian matrix;

S25.将获取配电网中的可控设备和不可控设备的功率,并形成可控有功功率矩阵△Pu、可控无功功率矩阵△Qu、不可控有功率矩阵△Pv以及不可控无功功率矩阵△QvS25. The power of the controllable equipment and uncontrollable equipment in the distribution network will be obtained, and the controllable active power matrix △P u , the controllable reactive power matrix △Q u , the uncontrollable active power matrix △P v and the uncontrollable active power matrix △P v will be formed. Control reactive power matrix △Q v :

△Qv=[△QLOAD]; △Q v = [△Q LOAD ];

其中,△PDG为配电网中分布式电源的有功功率变化量,△PBESS为配电网中蓄电池的有功功率变化量,△QCAP为配电网中电容器的无功功率变化量;△QDG为配电网中分布式电源的无功功率变化量,△PLOAD为配电网中负载的有功功率变化量,△PPV为配电网中光伏电池的有功功率变化量,△QLOAD为配电网中负载的无功功率变化量,并根据上述矩阵得到如下矩阵:Among them, △P DG is the active power change of distributed power in distribution network, △P BESS is the active power change of battery in distribution network, △Q CAP is the reactive power change of capacitor in distribution network; △Q DG is the reactive power variation of the distributed power generation in the distribution network, △P LOAD is the active power variation of the load in the distribution network, △P PV is the active power variation of the photovoltaic battery in the distribution network, △ Q LOAD is the reactive power variation of the load in the distribution network, and the following matrix is obtained according to the above matrix:

其中,F为由配电网的确定的常数矩阵,△Pin为蓄电池的充电有功功率,△Pout为蓄电池的放电有功功率; Among them, F is a constant matrix determined by the distribution network, △P in is the charging active power of the battery, and △P out is the discharging active power of the battery;

S26.将各参数分为状态变量x1、扰动变量v1以及控制变量u1S26. Divide each parameter into state variable x 1 , disturbance variable v 1 and control variable u 1 :

x1=[Ure Uim Ire Iim PDG Pin Pout QCAP QDG EB]Tx 1 =[U re U im I re I im P DG P in P out Q CAP Q DG E B ] T ;

u1=[△PDG △Pin △Pout △QCAP △QDG]Tu 1 =[△P DG △P in △P out △Q CAP △Q DG ] T ;

v1=[△PLOAD △PPV △QLOAD];其中,EB为蓄电池的容量;v 1 =[△P LOAD △P PV △Q LOAD ]; where, E B is the capacity of the storage battery;

此时,评估状态模型为:At this point, the evaluation state model is:

其中: in:

其中: in:

B0为矩阵中与可控设备相关的量组成的矩阵,D0为矩阵中与不可控设备相关的量组成的矩阵;B 0 is the matrix A matrix composed of quantities related to controllable equipment in , D 0 is the matrix A matrix composed of quantities related to uncontrollable equipment in ;

将松弛节点的松弛因数ε加入到评估模型形成最终的评估模型:The relaxation factor ε of the relaxed node is added to the evaluation model to form the final evaluation model:

通过cplex函数对最终的状态评估模型求最优解,该函数为现有算法,在此不再赘述;其中,松弛节点为配电网与主网连接的节点,其松弛因数ε由主网和配电网的特性确定,也就是说:基于光伏的配电网与主网的松弛节点的松弛因素在组网时即确定。Find the optimal solution to the final state evaluation model through the cplex function. This function is an existing algorithm and will not be repeated here. Among them, the slack node is the node connected to the distribution network and the main network, and its relaxation factor ε is determined by the main network and The characteristics of the distribution network are determined, that is to say: the slack factors of the slack nodes between the photovoltaic-based distribution network and the main network are determined when the network is formed.

最后说明的是,以上实施例仅用以说明本发明的技术方案而非限制,尽管参照较佳实施例对本发明进行了详细说明,本领域的普通技术人员应当理解,可以对本发明的技术方案进行修改或者等同替换,而不脱离本发明技术方案的宗旨和范围,其均应涵盖在本发明的权利要求范围当中。Finally, it is noted that the above embodiments are only used to illustrate the technical solutions of the present invention without limitation. Although the present invention has been described in detail with reference to the preferred embodiments, those of ordinary skill in the art should understand that the technical solutions of the present invention can be carried out Modifications or equivalent replacements without departing from the spirit and scope of the technical solution of the present invention shall be covered by the claims of the present invention.

Claims (4)

1. A safe operation optimization method for an active power distribution network based on distributed optical storage is characterized by comprising the following steps: the method comprises the following steps:
s1, acquiring node information and power distribution network parameters of a power distribution network and a main network connection node of distributed optical storage, and screening out loose nodes;
and S2, constructing an operation evaluation model of the power distribution network, and performing optimal solution solving on the evaluation model.
2. The distributed light storage based master of claim 1The method for optimizing the safe operation of the power distribution network is characterized by comprising the following steps: in step S1, the parameters of the power distribution network include admittance, impedance, resistance and reactance of the power distribution network, and the parameters form a corresponding matrix, where Y represents an admittance matrix, Z is an impedance matrix, and Z is equal to Y-1R is a resistance matrix and R ═ real (z), X is a reactance matrix and X ═ imag (z).
3. The distributed optical storage based active power distribution network safe operation optimization method according to claim 2, characterized in that: in step S2, an operation evaluation model of the power grid is constructed according to the following method:
s21, constructing a node current injection state equation of the power distribution network:
wherein,
Ureand UimThe real and imaginary components, I, of the node voltage, respectivelyreAnd IimThe real and imaginary components of the node current, △ I respectivelyreAnd △ IimRespectively a real part component and an imaginary part component of the variable quantity of the node current, and E is an identity matrix;
s22, obtaining active power P injected by the node according to the current injection state quantity of the power grid nodeiAnd reactive power Qi
P i = Σ j = 0 N - 1 ( I i r e ( R i j I j r e - X i j I j i m ) + I i i m ( R i j I j i m + X i j I j r e ) ) - - - ( 2 ) ;
Q i = Σ j = 0 N - 1 ( I i r e ( R i j I j i m + X i j I j r e ) - I i i m ( R i j I j r e - X i j I j i m ) ) - - - ( 3 ) ;
Wherein R isijIs the resistance between node i and node j, XijFor electricity between node i and node jN represents the number of nodes of the power distribution network;
s23, converting the active power PiAnd reactive power QiTo pairAnddifferentiating to obtain a sensitivity matrix of the power distribution network:
wherein J is sensitivity matrix of the distribution network, △ PiAnd △ QiIs the amount of change in active and reactive power at node i, i ═ 1,2, …, N;
s24, performing relaxation removing treatment on the sensitivity matrix of the power distribution network: since the voltage at the relaxation node is the reference voltage, the relaxation node s has:
thus, for node s: the voltage has the following equation:
( R s 1 ΔI 1 r e + ... R s s ΔI s r e + ... + R s N ΔI N r e ) - ( X s 1 ΔI 1 i m + ... X s s ΔI s i m + ... + X s N ΔI N i m ) = 0 ( X s 1 ΔI 1 r e + ... X s s ΔI s r e + ... + X s N ΔI N r e ) + ( R s 1 ΔI 1 i m + ... R s s ΔI s i m + ... + R s N ΔI N i m ) = 0 - - - ( 5 ) ;
the following matrix is derived from equation (5):
Z 1 = R s s - X s s X s s R s s , Z 2 = R s 1 ... R s N - X s 1 ... - X s N X s 1 ... X s N R s 1 ... R s N - - - ( 6 ) ;
wherein Z is2Is a coefficient matrix of formula (5) which does not contain a relaxation node s;
and (3) obtaining the voltage and current equations except for the relaxation nodes in the power distribution network according to the formulas (1) and (4) and the matrix (6):
wherein,J3and J4A sub-matrix related to the target variable in the Jacobian matrix is obtained;
s25, acquiring the power of controllable equipment and uncontrollable equipment in the power distribution network, and forming a controllable active power matrix △ PuControllable reactive power matrix △ QuUncontrollable power matrix △ PvAnd an uncontrollable reactive power matrix △ Qv
△Qv=[△QLOAD];
Wherein, △ PDGFor active power variation of distributed power sources in a power distribution network, △ PBESSFor active power variations of accumulators in power distribution networks, △ QCAP△ Q as the reactive power variation of capacitors in the distribution networkDGFor distribution networksReactive power variation of distributed power supply, △ PLOADVariation of active power for loads in an electricity distribution network, △ PPVVariation of active power of photovoltaic cells in distribution networks, △ QLOADObtaining the following matrix according to the matrix for the reactive power variation of the load in the power distribution network:
where F is a constant matrix determined by the distribution network, △ PinActive power for charging batteries, △ PoutActive power for discharging the storage battery;
s26, dividing each parameter into state variables x1V disturbance variable1And a control variable u1
x1=[UreUimIreIimPDGPinPoutQCAPQDGEB]T
u1=[△PDG△Pin△Pout△QCAP△QDG]T
v1=[△PLOAD△PPV△QLOAD](ii) a Wherein E isBIs the capacity of the battery;
at this time, the evaluation state model is:
wherein:
wherein:
B0is a matrixOf quantities related to controllable devices, D0Is a matrixA matrix of quantities related to the uncontrollable devices;
adding the relaxation factors of the relaxation nodes into the assessment model to form a final assessment model:
x 1 ϵ + = A 1 0 0 0 · x 1 ϵ + B 1 0 0 E · u 1 ϵ + D 1 0 · v 1 .
4. the distributed optical storage based active power distribution network safe operation optimization method according to claim 2, characterized in that: in step S2, the optimal solution is obtained for the state estimation model by the cplex function.
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