基于混合整数线性规划的配电网自愈优化方
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摘要
为了实现配电网故障情况下的恢复重构,并使之经济、可靠运行,提出了一种智能配电网的自愈优化策略。该策略以开关状态和分布式电源功率为控制变量,建立基于基尔霍夫定律的电压、电流模型,模型中状态变量受物理条件的约束,使用多种方法将约束线性化。将负荷恢复优先级策略加入目标函数,而不是仅根据需求恢复负荷。将该方法作为一个混合整数线性规划(MILP)问题,通过数学方法求解,保证了解的全局最优性。将该策略应用在IEEE16和33节点系统中进行仿真分析,仿真结果验证了所提模型的合理性及有效性。
In order to realize the recovery and reconstruction under the condition of distribution network failure and make it operate economically and reliably,a self-he aling optimization strategy is proposed for intelligent distribution network.By using the switching state and distributed power supply as control variables,the voltage and current models based on Kirchhoff's law are established.The state variables in the model are constrained by physical conditions.The constraints are linearized using various methods.The load recovery priority policy is added to the target function instead of restoring the load only as needed.The method is used as a mixed integer linear programming problem and solved by mathematical methods to ensure the global optimality of the understanding.This strategy is verified by the application of IEEE 16 and 33 node systems.The simulation results show the rationality and effectiveness of the proposed model.
In order to realize the recovery and reconstruction under the condition of distribution network failure and make it operate economically and reliably,a self-he aling optimization strategy is proposed for intelligent distribution network.By using the switching state and distributed power supply as control variables,the voltage and current models based on Kirchhoff's law are established.The state variables in the model are constrained by physical conditions.The constraints are linearized using various methods.The load recovery priority policy is added to the target function instead of restoring the load only as needed.The method is used as a mixed integer linear programming problem and solved by mathematical methods to ensure the global optimality of the understanding.This strategy is verified by the application of IEEE 16 and 33 node systems.The simulation results show the rationality and effectiveness of the proposed model.
引文
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[14]ZHU J Z.Optimal reconfiguration of electrical distribution network using the refined genetic algorithm[J].Electric Power Systems Research,2002,62(1):37-42.
[15]SEDIGHIZADEH M,ESMAILI M,ESMAEILI M.Application of the hybrid big bang-big crunch algorithm to optimal reconfiguration and distributed generation power allocation in distribution systems[J].Energy,2014,76:920-930.
[16]MIRHOSEINI S H,HOSSEINI S M,GHANBARI M,et al.A new improved adaptive imperialist competitive algorithm to solve the reconfiguration problem of distribution systems for loss reduction and voltage profile improvement[J].International Journal of Electrical Power&Energy Systems,2014,55:128-143.
[17]徐丙垠.2017年国际供电会议学术动态——配电网故障保护与自愈控制[J].供用电,2017,34(10),50-54.XU Bingyin.Report on CIRED 2017:fault protection and self-healing control of distribution networks[J].Distribution&Utilization,2017,34(11),50-54.
[18]林祺蓉,王俏俏.基于状态量比较法的配电网自愈控制技术研究[J].电子设计工程,2017,25(11),126-128.LIN Qirong,WANG Xiaoxiao.Research on the application of the method of state quantity comparison in the self healing control of distribution network[J].Electronic Design Engineering,2017,25(11),126-128.
[19]秦红霞,谭志海.智能配电网自愈控制系统技术研究与设计[J].电力系统保护与控制,2014,42(22),134-139.QIN Hongxia,TAN Zhihai.Study and design of smart distribution grid self-healing control system technology[J].Power System Protection and Control,2014,42(22),134-139.
[2]臧天磊,钟佳辰,何正友,等.基于启发式规则与熵权理论的配电网故障恢复[J].电网技术,2012,36(5):251-257.ZANG Tianlei,ZHONG Jiachen,HE Zhengyou,et al.Service restoration of distribution network based on heuristic rules and entropy weight[J].Power System Technology,201 2,36(5):251-257.
[3]余健明,吴海峰,杨文宇.基于改进多种群遗传算法的配电网规划[J].电网技术,2005,29(7):36-40.YU Jianming.WU Haifeng,YANG Wenyu.An improved poly-population genetic algorithm based power distribution network planning[J].Power System Technology,2005,29(7):36-40.
[4]刘茜.基于免疫算法和模糊评价的配电网自愈策略研究[D].北京:华北电力大学,2012.
[5]孟志强,覃仕樾,蔡航.基于变异粒子群优化-禁忌搜索混合算法的配电网状态估计[J].电力系统及其自动化学报,2017,29(11),99-104.MENG Zhiqiang,QIN Shiyue,CAI Hang.Distribution state estimation based on mutation particle swarm optimization-tabu search[J].Proceedings of the CSUEPSA,2017,29(11),99-104.
[6]张浩,和敬涵,薄志谦,等.基于动态规划算法的故障恢复重构[J].电工技术学报,2011,26(12):162-167.ZHANG Hao,HE Jinghan,BO Zhiqian,et al.Service restoration based on dynamic programming[J].Transactions of China Elec-trotechnical Society,201 1,26(12):162-167.
[7]刘一兵,吴文传,张伯明,等.基于混合整数二阶锥规划的主动配电网有功-无功协调多时段优化运行[J].中国电机工程学报,2014,27(14):75-83.LIU Yibing,WU Wenchuan,ZHANG Boming,et al.Amixed integer second-order cone programming based active and reactive power coordinated multi-period optimization for active distribution network[J].Proceedings of the CSEE,2014,27(14):75-83.
[8]王威,韩学山,王勇,等.一种减少生成树数量的配电网最优重构算法[J].中国电机工程学报,2008,28(16):34-38.WANG Wei,HAN Xueshan,WANG Yong,et al.A Distribution network optimal reconfiguration algorithm of reducing the number of spinning trees[J].Proceedings of the CSEE,2008,28(16):34-38.
[9]MCCORMICK G P.Computability of global solutions to factorable nonconvex programs:part I-convex underestimating problems[J].Mathematical Programming,1976,10,(1),147-175.
[10]SU C T,LEE C S.Network reconfiguration of distribution systems using improved mixed-integer hybrid differential evolution[J].IEEE Transaction on Power Delivery,2003,1 8(3):1022-1027.
[11]张海波,张晓云,陶文伟.基于广度优先搜索的配电网故障恢复算法[J].电网技术,2010,34(7):103-108.ZHANG Haibo,ZHANG Xiaoyun,TAO Wenwei.A breadth-first search based service restoration algorithm for distribution network[J].Power System Technology,2010,34(7):103-108.
[12]宋建立.含分布式电源的配电网重构与故障恢复[D].长沙:湖南大学,2015.
[13]吕蓬,潘志.运筹学·数学规划篇[M].北京:清华大学出版社/北京交通大学出版社,2011:9.
[14]ZHU J Z.Optimal reconfiguration of electrical distribution network using the refined genetic algorithm[J].Electric Power Systems Research,2002,62(1):37-42.
[15]SEDIGHIZADEH M,ESMAILI M,ESMAEILI M.Application of the hybrid big bang-big crunch algorithm to optimal reconfiguration and distributed generation power allocation in distribution systems[J].Energy,2014,76:920-930.
[16]MIRHOSEINI S H,HOSSEINI S M,GHANBARI M,et al.A new improved adaptive imperialist competitive algorithm to solve the reconfiguration problem of distribution systems for loss reduction and voltage profile improvement[J].International Journal of Electrical Power&Energy Systems,2014,55:128-143.
[17]徐丙垠.2017年国际供电会议学术动态——配电网故障保护与自愈控制[J].供用电,2017,34(10),50-54.XU Bingyin.Report on CIRED 2017:fault protection and self-healing control of distribution networks[J].Distribution&Utilization,2017,34(11),50-54.
[18]林祺蓉,王俏俏.基于状态量比较法的配电网自愈控制技术研究[J].电子设计工程,2017,25(11),126-128.LIN Qirong,WANG Xiaoxiao.Research on the application of the method of state quantity comparison in the self healing control of distribution network[J].Electronic Design Engineering,2017,25(11),126-128.
[19]秦红霞,谭志海.智能配电网自愈控制系统技术研究与设计[J].电力系统保护与控制,2014,42(22),134-139.QIN Hongxia,TAN Zhihai.Study and design of smart distribution grid self-healing control system technology[J].Power System Protection and Control,2014,42(22),134-139.