| 引用本文: | 郑明忠,张道农,张小易,樊海锋,袁宇波.基于节点集合的PMU优化配置方法[J].电力系统保护与控制,2017,45(13):138-142.[点击复制] |
| ZHENG Mingzhong,ZHANG Daonong,ZHANG Xiaoyi,FAN Haifeng,YUAN Yubo.PMU optimal placement based on node set[J].Power System Protection and Control,2017,45(13):138-142[点击复制] |
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| 摘要: |
| 同步相量测量单元(PMU)的最优配置要求在全局可观的前提下所配置的PMU最少。0-1线性整数规划在分析求解多目标PMU最优配置有极大的优势。在实际电力系统中存在一定数量的零注入节点。作为虚拟测量数据，虽然有利于PMU最优配置，然而引入到整数规划进行计算时，将使模型非线性化而难以求解。给出了考虑零注入功率节点情况下的条件函数，该函数能够有效保持函数的线性性从而仍能适用于0-1整数规划。当考虑N-1情况下的PMU最优布点时，该方法具有很强的继承能力，有效解决了传统方法无法解决的N-1优化配置问题。最后将该方法应用于IEEE14节点以及IEEE39节点的算例，相对于其他配置方法，减少了PMU配置数量，从而体现了该方法的优越性。 |
| 关键词: PMU 0-1整数规划 节点集合 N-1最优配置 |
| DOI：10.7667/PSPC160873 |
| 投稿时间：2016-06-14修订日期：2016-11-10 |
| 基金项目: |
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| PMU optimal placement based on node set |
| ZHENG Mingzhong,ZHANG Daonong,ZHANG Xiaoyi,FAN Haifeng,YUAN Yubo |
| (Jiangsu Electric Power Company Research Institute, Nanjing 211103, China;North China Power Engineering Co., Ltd., Beijing 100120, China) |
| Abstract: |
| The configuration of phasor measurement units (PMU) requires the least PMUs under the premise of complete network observability. The 0-1 mixed integer programming formulation has a great advantage of solving the multi-objective PMU placement problem. However, there are plenty of zero power injection nodes in power system. It’s conductive to PMU placement being as “free” measurement while still brings the nonlinearity to the optimizing issue. This paper presents a conditional function which considers the condition that the zero power injection nodes are included. It could apply to the 0-1 integer programming formulation while still keeping the linearity. Besides, the method has a strong inheritance when considering the N-1 situation and could solve the N-1 optimal allocation problem when traditional methods not. At last, the method is applied to the IEEE 14 nodes and 39 nodes cases. It reduces the numbers of PMU that is needed, and embodies the superiority of this method when compared with the other methods. |
| Key words: PMU 0-1 integer programming node set N-1 optimal placement |
