| 引用本文: | 刘宗歧,石道桂,陈启,刘文霞.基于节点状态优化的配电网故障恢复混合整数线性规划方法[J].电力自动化设备,2017,37(1): |
| LIU Zongqi,SHI Daogui,CHEN Qi,LIU Wenxia.MILP approach based on node status optimization for distribution network restoration[J].Electric Power Automation Equipment,2017,37(1): |
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| 摘要: |
| 为准确、快速地获取配电网故障恢复最优策略，提出基于节点状态优化的故障恢复混合整数线性规划方法。首先提出节点状态变量概念及其节点属性和电源属性，在此基础上建立节点状态变量-开关状态变量的线性函数关系，即开关状态线性模型；然后运用恒功率负荷线性化方法，建立基于基尔霍夫定律的电流及电压线性等式，等式中节点电压及支路电流等状态变量受节点状态变量及开关状态变量的约束；最后形成以切负荷及开关操作次数最少为目标的故障配电网最优潮流混合整数线性规划模型，即故障恢复模型。算例仿真验证了所提模型的合理性及有效性。 |
| 关键词: 配电网 节点状态变量 开关状态线性模型 线性化 混合整数线性规划 优化 |
| DOI：10.16081/j.issn.1006-6047.2017.01.009 |
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| MILP approach based on node status optimization for distribution network restoration |
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LIU Zongqi, SHI Daogui, CHEN Qi, LIU Wenxia
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School of Electrical & Electronic Engineering, North China Electric Power University, Beijing 102206, China
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| Abstract: |
| The MILP(Mixed-Integer Linear Programming) based on node status optimization is proposed to accurately and rapidly obtain the optimal distribution network restoration strategy. The concept of node status variable, as well as its node attributes and power source attributes, are presented, based on which, a switch status linear model describing the linear functional relationship between node status variable and switch status variable is established. The linear current and voltage equations based on Kirchhoff’s law are built by the constant power load linearization method, in which, the status variables including node voltage and branch current are restrained by the node status variable and switch status variable. The distribution network res-toration model with the minimum load shedding and switch operation as its objective, i. e. the MILP model of OPF(Optimal Power Flow) for faulty distribution network, is formed. Case simulation verifies the rationality and effectiveness of the proposed model. |
| Key words: distribution network node status variable switch status linear model linearization mixed-integer linear programming optimization |
