CN111416359A - Power distribution network reconstruction method considering weighted power flow entropy - Google Patents
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Abstract
本发明涉及一种考虑加权潮流熵的配电网络重构方法,包括:针对故障后的配电网络进行孤岛划分,以得到区域网络,其中,若存在孤岛,则区域网络为配电网除去孤岛以外的网络,否则整个故障后的配电网即为区域网络;以传统供电指标和潮流熵作为评价指标,构建网络重构优化模型,其中,传统供电指标包括网络损耗和节点电压降,潮流熵用于定量评价线路负载分布的不均匀性;基于CBPSO算法以及构建的网络重构优化模型,对区域网络进行求解,以得到全局最优解,即为重构网络拓扑。与现有技术相比,本发明通过将加权潮流熵作为系统鲁棒性评价指标引入寻优目标函数,能够提升重构网络的鲁棒性、满足重构网络稳定运行的要求。
The invention relates to a power distribution network reconstruction method considering weighted power flow entropy, which includes: dividing an islanded distribution network after a fault to obtain a regional network, wherein, if there is an isolated island, the regional network is the distribution network to remove the isolated island Otherwise, the entire distribution network after the fault is a regional network; the traditional power supply index and power flow entropy are used as evaluation indicators to build a network reconstruction optimization model. The traditional power supply index includes network loss and node voltage drop, power flow entropy It is used to quantitatively evaluate the inhomogeneity of the line load distribution; based on the CBPSO algorithm and the constructed network reconstruction optimization model, the regional network is solved to obtain the global optimal solution, which is the reconstructed network topology. Compared with the prior art, the present invention can improve the robustness of the reconstructed network and meet the requirements of stable operation of the reconstructed network by introducing the weighted power flow entropy as a system robustness evaluation index into the optimization objective function.
Description
技术领域technical field
本发明涉及电力系统配电网重构技术领域,尤其是涉及一种考虑加权潮流熵的配电网络重构方法。The invention relates to the technical field of power system distribution network reconfiguration, in particular to a distribution network reconfiguration method considering weighted power flow entropy.
背景技术Background technique
随着电力系统配电网的发展,网络结构变得更加复杂。当配电网络发生故障后,由于网络中包含大量负荷节点,线路潮流分布的不平衡会导致电网鲁棒性降低。对于在故障恢复过程中的网络重建,主要通过调整线路开关的开断来调整潮流,不但需要降低线路损耗、保证电压质量,而且应该提高线路负载均衡性以降低电网陷入自组织临界状态的概率。With the development of power system distribution network, the network structure has become more complex. When the power distribution network fails, because the network contains a large number of load nodes, the unbalanced power flow distribution of the line will reduce the robustness of the power grid. For the network reconstruction during the fault recovery process, the power flow is mainly adjusted by adjusting the on-off of the line switch, which not only needs to reduce the line loss and ensure the voltage quality, but also should improve the line load balance to reduce the probability of the grid falling into the self-organized critical state.
网络重构方面的研究主要分为动态重构以及静态重构两种,静态重构是假定整个时段负荷恒定不变,仅考虑单一时间断面重构;动态重构则是考虑负荷的时序性变化,对一段时间内的网络拓扑进行动态连续优化,目前针对网络重构的研究主要围绕三方面展开,包括:The research on network reconfiguration is mainly divided into two types: dynamic reconfiguration and static reconfiguration. Static reconfiguration assumes that the load is constant throughout the time period and only considers the reconfiguration of a single time section; dynamic reconfiguration considers the temporal changes of the load. , to dynamically and continuously optimize the network topology over a period of time. At present, the research on network reconstruction mainly focuses on three aspects, including:
(1)DG和储能装置接入配电网引起的孤岛划分问题。(1) The problem of island division caused by the connection of DG and energy storage devices to the distribution network.
(2)网络优化目标函数的选择。(2) The choice of network optimization objective function.
(3)对网络重构算法进行研究。(3) Research on the network reconstruction algorithm.
由于当前配电网中线路负载分布不均衡,导致配电网容易陷入自组织临界状态,而现有的网络重构方法中大多只考虑供电指标,无法有效保证重构后网络的稳定运行。Due to the unbalanced distribution of line loads in the current distribution network, the distribution network is prone to fall into a self-organized critical state. Most of the existing network reconstruction methods only consider the power supply index, which cannot effectively ensure the stable operation of the network after reconstruction.
发明内容SUMMARY 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考虑加权潮流熵的配电网络重构方法,结合孤岛划分,并针对线路负载分布不均衡的特点,基于线路负载率,构建加权潮流熵,结合传统供电指标,以共同作为网络重构的评价指标,从而提升重构网络鲁棒性,保证配电网稳定运行。The purpose of the present invention is to provide a power distribution network reconstruction method considering the weighted power flow entropy in order to overcome the above-mentioned defects of the prior art. Combined with island division, and according to the characteristics of line load distribution unbalanced, based on the line load rate, construct The weighted power flow entropy, combined with the traditional power supply index, is used as the evaluation index of network reconfiguration, thereby improving the robustness of the reconfigured network and ensuring the stable operation of the distribution network.
本发明的目的可以通过以下技术方案来实现:一种考虑加权潮流熵的配电网络重构方法,用于对故障后的配电网进行网络重构,包括以下步骤:The purpose of the present invention can be achieved through the following technical solutions: a method for reconfiguring a power distribution network considering weighted power flow entropy, which is used to reconfigure the distribution network after a fault, including the following steps:
S1、针对故障后的配电网络进行孤岛划分,以得到区域网络,其中,若存在孤岛,则区域网络为配电网除去孤岛以外的网络,否则整个故障后的配电网即为区域网络;S1. Divide the islanded distribution network after the fault to obtain the regional network, wherein, if there is an isolated island, the regional network is the distribution network except the islanded network, otherwise the entire distribution network after the fault is the regional network;
S2、以传统供电指标和潮流熵作为评价指标,构建网络重构优化模型,其中,传统供电指标包括网络损耗和节点电压降,潮流熵用于定量评价线路负载分布的不均匀性;S2. The traditional power supply index and power flow entropy are used as evaluation indicators to construct a network reconfiguration optimization model. The traditional power supply index includes network loss and node voltage drop, and the power flow entropy is used to quantitatively evaluate the inhomogeneity of line load distribution;
S3、基于CBPSO(Chaotic Binary Panicle Swarm Optimization,混沌二进制粒子群优化)算法以及构建的网络重构优化模型,对区域网络进行求解,以得到全局最优解,即为重构网络拓扑。S3. Based on the CBPSO (Chaotic Binary Panicle Swarm Optimization) algorithm and the constructed network reconstruction optimization model, the regional network is solved to obtain the global optimal solution, which is the reconstructed network topology.
进一步地,所述步骤S1具体包括以下步骤:Further, the step S1 specifically includes the following steps:
S11、获取配电网中参与并网的分布式电源容量大小及位置;S11. Obtain the capacity and location of the distributed power supply participating in the grid connection in the distribution network;
S12、若参与并网的分布式电源容量满足负荷节点用电需求,则执行步骤S13,否则判断故障后的配电网中不存在孤岛,以整个故障后的配电网作为区域网络,之后执行步骤S2;S12. If the capacity of the distributed power supply participating in the grid connection meets the power demand of the load node, step S13 is performed; otherwise, it is judged that there is no island in the distribution network after the failure, and the entire distribution network after the failure is used as the regional network, and then execute step S2;
S13、根据分布式电源输出功率大小搜寻孤岛区域,由该分布式电源为孤岛节点负荷供电,将故障后的配电网除去孤岛,得到区域网络,之后执行步骤S2。S13 , searching for the island area according to the output power of the distributed power source, and supplying power to the island node load by the distributed power source, removing the island after the failure of the distribution network to obtain an area network, and then performing step S2 .
进一步地,所述步骤S12中分布式电源容量满足负荷节点用电需求的条件具体为:Further, in the step S12, the conditions for the capacity of the distributed power source to meet the electricity demand of the load node are specifically:
其中,Si为节点i的负荷,ΔSj为线路功率损耗,SDG为分布式电源容量,g为孤岛区域最大容纳负荷节点数。Among them, S i is the load of node i, ΔS j is the line power loss, SD DG is the capacity of the distributed power supply, and g is the maximum number of load-bearing nodes in the island area.
进一步地,所述步骤S2具体包括以下步骤:Further, the step S2 specifically includes the following steps:
S21、结合网络损耗、节点电压降以及潮流熵,建立多目标优化函数,其中,网络损耗具体为有功网损,节点电压降具体为最小节点电压偏差,潮流熵具体为加权潮流熵;S21, establishing a multi-objective optimization function by combining network loss, node voltage drop and power flow entropy, wherein the network loss is specifically the active network loss, the node voltage drop is specifically the minimum node voltage deviation, and the power flow entropy is specifically the weighted power flow entropy;
S22、设置约束条件,该约束条件包含网络潮流约束、电压约束、线路功率约束以及拓扑约束。S22. Set constraints, where the constraints include network power flow constraints, voltage constraints, line power constraints, and topology constraints.
进一步地,所述步骤S21中多目标优化函数具体为:Further, the multi-objective optimization function in the step S21 is specifically:
minf={minf1,minf2,minf3}minf={minf 1 , minf 2 , minf 3 }
f=ω1·f1+ω2·f2+ω3·f3 f=ω 1 ·f 1 +ω 2 ·f 2 +ω 3 ·f 3
ω1+ω2+ω3=1ω 1 +ω 2 +ω 3 =1
其中,f为目标函数的优化值,f1为有功网损,f2为最小节点电压偏差,f3为加权潮流熵,ω1、ω2、ω3分别为f1、f2、f3的权重。Among them, f is the optimized value of the objective function, f 1 is the active network loss, f 2 is the minimum node voltage deviation, f 3 is the weighted power flow entropy, ω 1 , ω 2 , ω 3 are f 1 , f 2 , f 3 respectively the weight of.
进一步地,所述步骤S21中有功网损具体为:Further, the active network loss in the step S21 is specifically:
其中,Rij为节点i与节点j之间的线路电阻,Pij、Qij分别为流经线路ij的有功和无功功率,PDGi和QDGi分别为节点i的分布式电源DG的有功输出和无功输出,若对应节点没有分布式电源DG,则PDGi=0、QDGi=0,Ui为节点i的电压,M为线路总数,N为节点总集合;Among them, R ij is the line resistance between node i and node j, P ij and Q ij are the active and reactive power flowing through line ij, respectively, P DGi and Q DGi are the active power of the distributed power source DG at node i, respectively Output and reactive power output, if the corresponding node has no distributed power supply DG, then P DGi =0, Q DGi =0, U i is the voltage of node i, M is the total number of lines, and N is the total set of nodes;
所述最小节点电压偏差具体为:The minimum node voltage deviation is specifically:
其中,Umin为最小节点电压,Ue为节点额定电压;Among them, U min is the minimum node voltage, U e is the node rated voltage;
所述加权潮流熵具体为:The weighted power flow entropy is specifically:
其中,w为潮流熵权重,Pl为线路l的实际有功潮流值,Pmax为所有线路的最大有功潮流值,Pmin为所有线路的最小有功潮流值,m为状态分类数量;Among them, w is the power flow entropy weight, P l is the actual active power flow value of line l, P max is the maximum active power flow value of all lines, P min is the minimum active power flow value of all lines, and m is the number of state classifications;
P(Xa)为出现第a类状态所占的概率,即线路负载率处于任意一个功率等差区间的概率:P(X a ) is the probability of the occurrence of the a-th state, that is, the probability that the line load rate is in any power equal difference interval:
ηl∈[Dk,Dk+1],k<Kη l ∈[D k , D k+1 ], k<K
D=[D0,D1,…,DK]D=[D 0 , D 1 , ..., D K ]
式中,ηl为线路l的负载率,D为根据线路运行功率极限要求形成的连续等差区间,K为功率等差区间的总个数。In the formula, η l is the load rate of line l, D is the continuous equal difference interval formed according to the line operating power limit requirements, and K is the total number of power equal difference intervals.
进一步地,所述步骤S22中网络潮流约束具体为:Further, the network power flow constraint in the step S22 is specifically:
其中,ΔPi和ΔQi分别为节点i的有功、无功损耗,Pi和Qi分别为节点i注入的有功、无功功率,Ui,Uj分别为节点i,j的电压值,Gij、Bij、θij分别为节点i与j之间支路的电导、电纳、电压相角差;Among them, ΔP i and ΔQ i are the active and reactive power losses of node i, respectively, P i and Q i are the active and reactive power injected by node i, respectively, U i , U j are the voltage values of nodes i and j, respectively, G ij , B ij , and θ ij are the conductance, susceptance, and voltage phase angle differences of the branch between nodes i and j, respectively;
电压约束具体为:The voltage constraints are specifically:
Ui.min≤Ui≤Ui.max U i.min ≤U i ≤U i.max
其中,Ui.min和Ui.max分别为节点i的电压上、下限;Among them, U i.min and U i.max are the upper and lower voltage limits of node i, respectively;
线路功率约束具体为:The line power constraints are specifically:
Sl≤1.5×Sl.max S l ≤1.5×S l.max
其中,Sl为线路i的功率,Sl.max为线路i允许的最大功率;Among them, S l is the power of line i, and S l.max is the maximum power allowed by line i;
拓扑约束具体为:The topological constraints are specifically:
其中,Kq,r为支路开关(q,r)的开关状态,即以q为首节点、r为尾节点的支路开关状态,开关闭合时Kq,r=1,开关断开时Kq,r=0,Nn为拓扑中节点总数,Nf为拓扑中根节点个数,Ng为拓扑中孤岛节点个数,B为拓扑中支路集合,R为除根节点和孤岛节点之外的节点集合,N为节点总集合,F为根节点集合,G为孤岛节点集合;Among them, K q,r is the switch state of the branch switch (q, r), that is, the branch switch state with q as the head node and r as the tail node, K q,r =1 when the switch is closed, and K when the switch is open q,r = 0, N n is the total number of nodes in the topology, N f is the number of root nodes in the topology, N g is the number of island nodes in the topology, B is the set of branches in the topology, R is the root node and island nodes except for The set of nodes, N is the total set of nodes, F is the set of root nodes, and G is the set of island nodes;
拓扑约束中:In topological constraints:
Kq,r=1即要求以r为尾节点的单个支路需是闭合的,K q,r = 1 means that a single branch with r as the tail node must be closed,
即要求所有支路均是闭合的。 That is, all branches are required to be closed.
进一步地,所述步骤S3具体包括以下步骤:Further, the step S3 specifically includes the following steps:
S31、对区域网络节点参数进行初始化,并设置CBPSO算法的全局参数,以初始化粒子群位置和速度;S31, initialize the parameters of the regional network nodes, and set the global parameters of the CBPSO algorithm to initialize the position and speed of the particle swarm;
S32、基于网络重构优化模型,结合CBPSO算法的编码规则,更新粒子位置和速度;S32, based on the network reconstruction optimization model, combined with the coding rules of the CBPSO algorithm, update the particle position and speed;
S33、判断更新后的粒子是否符合拓扑约束,若判断为是,则执行步骤S34,否则返回步骤S32,其中,一个粒子对应于一个网络拓扑,该网络拓扑由不同支路开关状态数据组成;S33, judging whether the updated particle complies with the topology constraint, if it is judged to be yes, then execute step S34, otherwise return to step S32, wherein, one particle corresponds to a network topology, and the network topology is composed of different branch switch state data;
S34、计算粒子群适应度,更新各粒子最优适应度和全局最优适应度,其中,适应度对应于目标函数优化值,最优适应度对应于最小的目标函数优化值;S34. Calculate the fitness of the particle swarm, and update the optimal fitness of each particle and the global optimal fitness, where the fitness corresponds to the optimal value of the objective function, and the optimal fitness corresponds to the minimum optimal value of the objective function;
S35、判断求解过程是否满足收敛条件,若满足则输出最优粒子,即为重构网络拓扑,若不满足,则返回步骤S32。S35: Determine whether the solution process satisfies the convergence condition, and if so, output the optimal particle, which is to reconstruct the network topology, and if not, return to step S32.
进一步地,所述步骤S31中CBPSO算法的全局参数包括最大迭代次数、学习因子、种群数目以及混沌映射参数。Further, the global parameters of the CBPSO algorithm in the step S31 include the maximum number of iterations, the learning factor, the number of populations and the chaotic mapping parameters.
进一步地,所述步骤S35具体包括以下步骤:Further, the step S35 specifically includes the following steps:
S351、判断当前迭代次数是否达到设置的最大迭代次数,若判断为是,则输出最优粒子,否则执行步骤S352;S351. Determine whether the current number of iterations reaches the set maximum number of iterations, and if the determination is yes, output the optimal particle, otherwise, perform step S352;
S352、判断当前求解得到的全局最优适应度是否满足收敛精度要求,若判断为是,则输出最优粒子,否则返回步骤S32。S352: Determine whether the global optimal fitness obtained by the current solution satisfies the convergence accuracy requirement, and if the determination is yes, output the optimal particle, otherwise return to step S32.
与现有技术相比,本发明具有以下优点:Compared with the prior art, the present invention has the following advantages:
一、本发明针对当前配电网中线路负载分布不均衡而易于陷入自组织临界状态的问题,提出以潮流熵作为评价指标、兼顾网络损耗与节点电压降的多目标优化模型,结合孤岛划分、通过构建更加合理的网络拓扑结构,在电网重构过程中,能够尽可能多地恢复因故障而受到影响的负荷,优先恢复重要性更高的负荷,从而有效提升重构网络的鲁棒性,保证重构网络的运行稳定性。1. The present invention proposes a multi-objective optimization model that takes the power flow entropy as the evaluation index and takes into account the network loss and node voltage drop, and combines the island division, By constructing a more reasonable network topology, in the process of power grid reconstruction, as many loads affected by faults can be restored as possible, and more important loads can be restored first, thereby effectively improving the robustness of the reconstructed network. Guarantee the operational stability of the reconstructed network.
二、本发明考虑故障后的配电网中存在某些潮流分布不均匀的支路故障,即线路负载率不一致性,为避免潮流熵计算偏大,本发明采用加权潮流熵的方式,能够有效区分负载线路的轻重程度,从而提高潮流熵值计算的准确度,进一步保证重构网络的运行稳定性。2. The present invention considers that there are some branch faults with uneven power flow distribution in the distribution network after the fault, that is, the line load rate is inconsistent. In order to avoid the calculation of the power flow entropy being too large, the present invention adopts the method of weighted power flow entropy, which can effectively Distinguish the severity of load lines, thereby improving the accuracy of power flow entropy calculation and further ensuring the operational stability of the reconstructed network.
附图说明Description of drawings
图1为本发明的方法流程示意图;Fig. 1 is the method flow schematic diagram of the present invention;
图2为区域网络求解过程示意图;Fig. 2 is a schematic diagram of the area network solution process;
图3为实施例中37支路原始网络结构图;Fig. 3 is the original network structure diagram of 37 branches in the embodiment;
图4为实施例中31节点接入分布式电源DG的重构网络结构图;4 is a structural diagram of a reconstructed network in which 31 nodes are connected to a distributed power source DG in an embodiment;
图5为实施例中包含一个孤岛的重构网络结构图;Fig. 5 is the reconstruction network structure diagram that comprises an island in the embodiment;
图6为图5对应的孤岛示意图;6 is a schematic diagram of an isolated island corresponding to FIG. 5;
图7为实施例中包含两个孤岛的重构网络结构图;7 is a structural diagram of a reconstructed network comprising two isolated islands in an embodiment;
图8为图7对应的孤岛示意图;8 is a schematic diagram of an isolated island corresponding to FIG. 7;
图9为网络重构前后的最小节点电压对比示意图。FIG. 9 is a schematic diagram showing the comparison of minimum node voltages before and after network reconfiguration.
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。The present invention will be described in detail below with reference to the accompanying drawings and specific embodiments.
实施例Example
如图1所示,一种考虑加权潮流熵的配电网络重构方法,包括以下步骤:As shown in Figure 1, a distribution network reconstruction method considering weighted power flow entropy includes the following steps:
S1、针对故障后的配电网络进行孤岛划分,以得到区域网络,其中,若存在孤岛,则区域网络为配电网除去孤岛以外的网络,否则整个故障后的配电网即为区域网络;S1. Divide the islanded distribution network after the fault to obtain the regional network, wherein, if there is an isolated island, the regional network is the distribution network except the islanded network, otherwise the entire distribution network after the fault is the regional network;
S2、以传统供电指标和潮流熵作为评价指标,构建网络重构优化模型,其中,传统供电指标包括网络损耗和节点电压降,潮流熵用于定量评价线路负载分布的不均匀性;S2. The traditional power supply index and power flow entropy are used as evaluation indicators to construct a network reconfiguration optimization model. The traditional power supply index includes network loss and node voltage drop, and the power flow entropy is used to quantitatively evaluate the inhomogeneity of line load distribution;
S3、基于CBPSO算法以及构建的网络重构优化模型,对区域网络进行求解,以得到全局最优解,即为重构网络拓扑。S3. Based on the CBPSO algorithm and the constructed network reconstruction optimization model, the regional network is solved to obtain a global optimal solution, which is to reconstruct the network topology.
基于求解得到的重构网络拓扑,以控制故障后配电网各支路的开关状态,完成网络重构。Based on the reconstructed network topology obtained by the solution, the switch state of each branch of the distribution network after the fault is controlled to complete the network reconstruction.
具体的,将上述方法应用于实际,主要包括以下步骤:Specifically, applying the above method to practice mainly includes the following steps:
步骤1,对故障后的配电网进行孤岛划分,并建立包含网络损耗与节点电压降、以潮流熵作为鲁棒性评价指标的优化模型;Step 1: Islanding the distribution network after the fault, and establishing an optimization model including network loss and node voltage drop, with power flow entropy as the robustness evaluation index;
步骤1.1,根据并网的DG容量大小和位置进行孤岛划分:Step 1.1, divide the island according to the capacity and location of the grid-connected DG:
(1)当DG容量较小,正常工作时输出功率不足以满足负荷节点发电需求时,只抵消相应负荷,而不形成孤岛;(1) When the DG capacity is small and the output power is not enough to meet the power generation demand of the load node during normal operation, only the corresponding load is offset without forming an island;
(2)当DG容量较大,正常工作输出功率能够满足负荷节点用电需求,因此在前端线路停电时,可由DG作电源为该节点负荷供电,即:(2) When the DG capacity is large, the normal output power can meet the power demand of the load node. Therefore, when the front-end line is powered off, the DG can be used as the power source to supply power to the node load, namely:
其中,Si为节点i的负荷,ΔSj为线路功率损耗,SDG为分布式电源容量,g为孤岛区域最大容纳负荷节点数;Among them, S i is the load of node i, ΔS j is the line power loss, SD DG is the capacity of the distributed power supply, and g is the maximum number of load-bearing nodes in the island area;
步骤1.2,建立综合考虑网络网损、节点电压偏差以及潮流熵的多目标优化方案:配电网重构过程中,保证尽可能多地恢复因故障而受到影响的负荷,优先恢复重要性更高的负荷,Step 1.2, establish a multi-objective optimization scheme that comprehensively considers network network loss, node voltage deviation and power flow entropy: in the process of distribution network reconstruction, ensure that as many loads affected by the fault are restored as possible, and priority restoration is more important. load,
多目标优化函数:Multi-objective optimization function:
minf={minf1,minf2,minf3}minf={minf 1 , minf 2 , minf 3 }
式中,f为目标函数的优化值,采用权重法将多目标函数转化为单目标函数,即有:In the formula, f is the optimized value of the objective function, and the weight method is used to convert the multi-objective function into a single-objective function, namely:
f=ω1·f1+ω2·f2+ω3·f3 f=ω 1 ·f 1 +ω 2 ·f 2 +ω 3 ·f 3
式中,ω1、ω2、ω3分别为各分目标f1、f2、f3的权重,必须满足ω1+ω2+ω3=1,本实施例中,ω1=0.5,ω2=0.1,ω3=0.4;In the formula, ω 1 , ω 2 , and ω 3 are the weights of each sub-objective f 1 , f 2 , and f 3 respectively, which must satisfy ω 1 +ω 2 +ω 3 =1. In this embodiment, ω 1 =0.5, ω 2 =0.1, ω 3 =0.4;
各分目标具体为:The sub-goals are:
1)有功网损1) Active network loss
若网络中接有DG,但DG容量不足以满足负荷用电需求时:If DG is connected to the network, but the DG capacity is not enough to meet the power demand of the load:
其中,Rij为节点i与节点j之间的线路电阻,Pij、Qij分别为流经线路ij的有功和无功功率,PDGi和QDGi分别为节点i的分布式电源DG的有功输出和无功输出,若对应节点没有分布式电源DG,则PDGi=0、QDGi=0,Ui为节点i的电压,M为线路总数,N为节点总集合;Among them, R ij is the line resistance between node i and node j, P ij and Q ij are the active and reactive power flowing through line ij, respectively, P DGi and Q DGi are the active power of the distributed power source DG at node i, respectively Output and reactive power output, if the corresponding node has no distributed power supply DG, then P DGi =0, Q DGi =0, U i is the voltage of node i, M is the total number of lines, and N is the total set of nodes;
2)最小节点电压降2) Minimum node voltage drop
其中,Umin为最小节点电压,Ue为节点额定电压;Among them, U min is the minimum node voltage, U e is the node rated voltage;
3)加权潮流熵3) Weighted power flow entropy
熵作为一种状态标量,用来衡量空间中所存在的大量微观粒子运动的混乱程度和无序状态,电力系统潮流熵被用来定量评价网络线路负载分布的不均匀性,As a state scalar, entropy is used to measure the chaotic degree and disorder state of the motion of a large number of microscopic particles in space. Power flow entropy is used to quantitatively evaluate the inhomogeneity of network line load distribution.
设线路l的最大负载容量为实际运行中线路潮流值为则线路的负载率ηl为:Let the maximum load capacity of line l be In actual operation, the line power flow value is Then the load rate η l of the line is:
式中,M为线路条数;In the formula, M is the number of lines;
根据线路运行功率极限要求形成连续等差区间D=[D0,D1,...,K],DK可以根据网络的实际运行要求设定,网络重构过程中,线路负载超出区间的方案不予考虑,因此定义线路l的负载率处于区间ηl∈[Dk,Dk+1],k<K的概率为P(Xa),则潮流熵定义如下:A continuous equidistant interval D=[D 0 , D 1 ,..., K ] is formed according to the line operating power limit requirements, and D K can be set according to the actual operation requirements of the network. During the network reconstruction process, the line load exceeds the interval. The scheme is not considered, so it is defined that the load rate of line l is in the interval η l ∈ [D k , D k+1 ], and the probability of k<K is P(X a ), then the power flow entropy is defined as follows:
式中,C为常数,m为状态分类数量,P(Xa)为出现第a类状态所占的概率,In the formula, C is a constant, m is the number of state classifications, P(X a ) is the probability of the occurrence of the a-th state,
潮流熵越大,系统线路负载率的不一致性越高,过于分散的线路负载率会使系统受到小扰动进入自组织临界状态的概率加大,从而对系统的鲁棒性造成影响。而当线路负载率集中于同一区间时,线路的潮流熵为0,此时线路潮流分布最为有序,当系统发生扰动时不易发生连锁故障,由于某些潮流偏重或偏轻的支路故障后均会致使潮流熵偏大,显然后者不能正确反映出潮流熵的物理特性,而利用加权潮流熵可以有效区分负载线路的轻重程度,提高潮流熵值计算的准确度,潮流熵权重计算公式如下:The larger the power flow entropy is, the higher the inconsistency of the system line load rate is. The excessively scattered line load rate will increase the probability of the system entering a self-organized critical state by small disturbances, thus affecting the robustness of the system. When the line load rate is concentrated in the same interval, the power flow entropy of the line is 0. At this time, the power flow distribution of the line is the most orderly. When the system is disturbed, cascading failures are not easy to occur. Both will cause the power flow entropy to be too large. Obviously, the latter cannot correctly reflect the physical characteristics of the power flow entropy. The weighted power flow entropy can effectively distinguish the severity of the load line and improve the accuracy of the power flow entropy value calculation. The calculation formula of the power flow entropy weight is as follows :
式中,w为潮流熵权重,Pl为线路l的实际有功潮流值,Pmax为所有线路的最大有功潮流值,Pmin为所有线路的最小有功潮流值;In the formula, w is the power flow entropy weight, P l is the actual active power flow value of line l, P max is the maximum active power flow value of all lines, and P min is the minimum active power flow value of all lines;
因此加权潮流熵计算如下:Therefore, the weighted power flow entropy is calculated as follows:
步骤1.3,增设网络潮流约束条件Step 1.3, add network power flow constraints
重构过程中必须满足网络潮流约束:The network power flow constraints must be satisfied during the reconstruction process:
电压约束:Ui.min≤Ui≤Ui.max Voltage constraint: U i.min ≤U i ≤U i.max
线路功率约束:Sl≤1.5×Sl.max Line power constraint: S l ≤1.5×S l.max
拓扑约束:Topological constraints:
式中,ΔPi和ΔQi分别为节点i的有功、无功损耗,Pi和Qi分别为节点i注入的有功、无功功率,Ui,Uj分别为节点i,j的电压值,Gij、Bij、θij分别为节点i与j之间支路的电导、电纳、电压相角差;Sl为节点l的负荷,Sl.max为节点l的运行功率最大值,Kq,r为支路开关(q,r)的开关状态,开关闭合时Kq,r=1,开关断开时Kq,r=0,Nn为拓扑中节点总数,Nf为拓扑中根节点个数,Ng为拓扑中孤岛节点个数,B为拓扑中支路集合,R为除根节点和孤岛节点之外的节点集合,N为节点总集合,F为根节点集合,G为孤岛节点集合。In the formula, ΔP i and ΔQ i are the active and reactive power losses of node i, respectively, P i and Q i are the active and reactive power injected by node i, respectively, U i , U j are the voltage values of nodes i and j, respectively , G ij , B ij , and θ ij are the conductance, susceptance, and voltage phase angle difference of the branch between nodes i and j, respectively; S l is the load of node l, and S l.max is the maximum operating power of node l , K q,r is the switching state of the branch switch (q, r), K q,r =1 when the switch is closed, K q,r =0 when the switch is open, N n is the total number of nodes in the topology, N f is The number of root nodes in the topology, N g is the number of island nodes in the topology, B is the set of branches in the topology, R is the set of nodes except the root node and the island node, N is the total set of nodes, F is the set of root nodes, G A collection of island nodes.
步骤2,采用混沌二进制粒子群算法进行寻优,如图2所示,包括:
步骤2.1,初始配电网节点参数,设置混沌二进制粒子群算法全局参数,初始化粒子群位置和速度;Step 2.1, initialize the distribution network node parameters, set the global parameters of the chaotic binary particle swarm algorithm, and initialize the particle swarm position and speed;
步骤2.2,根据编码规则,更新粒子群位置、速度;Step 2.2, according to the coding rules, update the particle swarm position and velocity;
步骤2.3,判断各粒子是否符合网络拓扑要求,一个粒子具体是一个包含各支路开关状态的网络拓扑,一个网络拓扑由多个支路开关状态组成;Step 2.3, judging whether each particle meets the network topology requirements, a particle is specifically a network topology including the switch states of each branch, and a network topology is composed of a plurality of branch switch states;
步骤2.4,计算粒子群适应度,更新各粒子最优适应度和全局最优适应度;Step 2.4, calculate the particle swarm fitness, update the optimal fitness of each particle and the global optimal fitness;
步骤2.5,判断是否满足收敛条件;Step 2.5, judge whether the convergence condition is met;
步骤2.6,输出最优粒子群构成。Step 2.6, output the optimal particle swarm composition.
本实施例采用本发明提出的方法对比分析了分布式电源DG分布位置以及节点是否形成孤岛等不同情况下的网络重构结果,以为配电网的实际运行和DG的配置提供新思路。In this embodiment, the method proposed in the present invention is used to compare and analyze the network reconfiguration results in different situations such as the distribution location of the distributed power DG and whether the node forms an island, so as to provide a new idea for the actual operation of the distribution network and the configuration of the DG.
本实施例采用IEEE 33标准测试系统作为算例,如图3所示,该网络包括37条支路(32条常规支路,5条联络开关支路),33个节点。This embodiment uses the
网络基准电压为12.66KV,总负荷为3715+j2300KVA,混沌二进制粒子群算法初始参数:最大迭代次数100,学习因子c1=c2=2,种群数目50,粒子速度Vi n∈[-4,4],混沌映射参数:Y1=0.5,μ=3.99。The network reference voltage is 12.66KV, the total load is 3715+j2300KVA, the initial parameters of the chaotic binary particle swarm algorithm: the maximum number of iterations is 100, the learning factor c 1 =c 2 =2, the population number is 50, and the particle velocity V i n ∈[-4 , 4], chaotic mapping parameters: Y 1 =0.5, μ=3.99.
假设加入网络的DG系统包括光伏发电以及风力发电,且都配置了足够的储能装置可独立带负荷稳定运行,假设重构发生时,DG系统的平均输出功率为500kVA。含有DG的配电网主要通过孤岛运行方式在故障时保障部分负荷的连续供电,提高供电可靠性。但是若当DG容量较小,输出功率不足以承担节点负荷时,则不形成孤岛。而当DG容量较大时,正常工作输出功率满足负荷节点用电需求,可以视作孤岛负荷供电的电源。It is assumed that the DG system added to the network includes photovoltaic power generation and wind power generation, and both are equipped with enough energy storage devices to operate stably with independent load. It is assumed that the average output power of the DG system is 500kVA when the reconstruction occurs. The distribution network containing DG mainly guarantees the continuous power supply of part of the load in the event of a fault through the island operation mode, and improves the reliability of the power supply. However, if the DG capacity is small and the output power is not enough to bear the load of the node, the island will not be formed. When the DG capacity is large, the normal output power can meet the power demand of the load node, which can be regarded as the power supply for the island load.
除了不含DG的网络重构外,本实施例主要分以下几种情况进行分析:Except for the network reconfiguration without DG, this embodiment mainly analyzes the following situations:
1)只有一个分布式电源系统。假设DG安装在31节点,但不形成孤岛,网络重构后,如图4、图9和表1所示。1) There is only one distributed power system. Assuming that the DG is installed in 31 nodes, but does not form an island, after the network is reconfigured, as shown in Figure 4, Figure 9 and Table 1.
2)若DG容量满足负荷节点31正常用电需求时,31节点可单独形成孤岛,并由DG输出功率提供用电。类似地,若DG发电还可满足与节点31相连的其它节点的负荷需求时,优先恢复重要性较高的负荷节点,如节点30,形成孤岛区域;剔除该孤岛区域后,剩余支路进行电网重构,结果如图5、图6、图9和表1所示。2) If the DG capacity meets the normal power demand of the
3)有两个分布式电源系统DG1和DG2。若DG1、DG2分别接在25和31节点,可根据DG输出情况和负荷重要程度形成新的孤岛区域。剩余支路进行电网重构,结果见图7、图8、图9和表1所示。3) There are two distributed power systems DG1 and DG2. If DG1 and DG2 are connected to
表1Table 1
从表1可以看出,即使在不包含DG的情况下进行网络重构,也可以使得网络损耗和潮流熵明显下降,同时最小节点电压显著上升。在31节点加入DG但不形成孤岛,潮流熵略有升高,即潮流分布均匀性略差,但电压降减小,网络损耗更低;It can be seen from Table 1 that even if the network is reconfigured without DG, the network loss and power flow entropy can be significantly reduced, while the minimum node voltage can be significantly increased. When DG is added at
当DG及其连接节点附近支路形成由DG供电的孤岛时,导致部分线路供电长度增加,因此最小节点电压降低明显,这种情况下可以选择在长线路中、末端继续安装DG;When the DG and its branches near the connecting node form an island powered by the DG, the power supply length of some lines increases, so the minimum node voltage decreases significantly. In this case, you can choose to continue to install the DG in the long line and at the end;
当在系统多节点加入DG时,网络损耗降低明显,但线路潮流熵可能出现上升,这是由于DG的安装位置不尽合理造成的,这时可以进行DG安装位置的调整或者增加DG安装点,以优化网络潮流熵。When adding DG to multiple nodes in the system, the network loss is significantly reduced, but the line power flow entropy may increase. This is caused by the unreasonable installation position of the DG. At this time, the DG installation position can be adjusted or the DG installation point can be added. To optimize the network power flow entropy.
此外,本实施例还在没有DG的情况下,分别采用BPSO((Discrete BinaryParticle Swarm Optimization,二进制粒子群优化)算法和CBPSO算法进行区域网络求解,两种算法的求解过程对比结果如表2所示,从表2结果可知,两种算法重构结果基本相同,但是CBPSO算法的平均收敛次数明显减小,即全局搜索能力更强,体现了该算法的有效性,这也保证了本发明方法的可靠性。In addition, in this embodiment without DG, the BPSO (Discrete Binary Particle Swarm Optimization, binary particle swarm optimization) algorithm and the CBPSO algorithm are respectively used to solve the area network. The comparison results of the two algorithms are shown in Table 2. , from the results in Table 2, it can be seen that the reconstruction results of the two algorithms are basically the same, but the average convergence times of the CBPSO algorithm is significantly reduced, that is, the global search ability is stronger, which reflects the effectiveness of the algorithm, which also ensures the method of the present invention. reliability.
表2Table 2
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