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基于图论的电力系统PMU布点优化算法
作者姓名:隋佳音  林富洪  王瑞闯
作者单位:华北电力大学,电气与电子工程学院;华北电力大学,电气与电子工程学院;华北电力大学,电气与电子工程学院
摘    要:基于最小支配集理论和电力系统线性量测模型,提出了可观测节点集合、WAMS可观测矩阵两个概念以及一种新的节点可观测性计算规则。以保证系统的完全可观测性和以系统图的最小支配集为搜索范围构成约束条件, 以电力系统状态完全可观测和相量测量装置(PMU)配置数目最小为目标,形成了PMU配置优化问题。并应用禁忌搜索(TS)方法求解该问题,保证了全局寻优。最后采用 IEEE 14、30、57 、118节点系统和新英格兰 39 节点系统对该方法进行了验证,仿真结果表明该方法的有效性和可行性。

关 键 词:最小支配集  图论  禁忌搜索  最优配置  相量测量单元

Optimal PMU Placement Algorithm in Power System Based on Graph Theory
Authors:SUI Jia-yin  LIN Fu-hong and WANG Rui-chuang
Affiliation:Dept. of Electrical and Electronic Engineering, North China Electric Power University;Dept. of Electrical and Electronic Engineering, North China Electric Power University;Dept. of Electrical and Electronic Engineering, North China Electric Power University
Abstract:Observable node set, two concepts of observable set and observable matrix of WAMS, and a new rule to compute the state of observable node are put forward in this paper based on the minimum dominating set theory and linear measurement model of power system. The optimal PMU placement problem is formulated as guaranteeing full network observables, using the minimum dominating sets of the power system graph as search space and having minimum number of PMU. And TS method is proposed to solve the combinatorial optimization problem. The effectiveness of proposed algorithm is verified by the stimulation results of IEEE 14-bus, IEEE 30-bus, IEEE 118-bus system and New England 39-bus system respectively. The simulation results indicate the optimal algorithm is effective and feasible.
Keywords:minimum dominating set  graph theory  tabu search (TS)  optimal placement  phasor measurement unit (PMU)
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