计及分布式电源接入的配电网重构
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摘要
分布式电源的接入使得配电网重构需要考虑更多的安全因素。基于配电网支路潮流模型,建立以重构周期内网络有功损最低,以满足分布式电源接入下网络运行安全为约束的配电网重构。为有效求解该重构数学模型,利用凸松弛方法将原问题中二次项进行松弛,使之形成混合整数二阶锥规划形式,从而可利用YALMIP商业软件进行高效求解。最后,通过改进的IEEE 33节点测试系统进行仿真分析,并与现有基于粒子群算法及启发式算法的配电网重构方法进行对比,结果表明基于凸优化技术的重构结果不仅能够有效避免算法陷于局部最优,而且稳定性好、计算效率高。
The injections of distributed generation make the distribution network reconfiguration need to consider more security conditions. In this paper,a distribution network reconfiguration with the lowest active power loss in the reconstruction period and the network operation safety as the constraint is established in distribution networks based on the branch flow equations model. In order to solve the proposed mathematical model effectively,the convex relaxation method is used to relax the quadratic terms into mixed integer second-order cone programming form,and then,the proposed mathematical model of network reconfiguration could be solved using YALMIP effectively. Finally,the feasibility and effectiveness of the proposed network reconfiguration is verified via the modified IEEE 33-bus test system,and the simulation results show that the proposed reconfiguration based on convex optimization is better in global optimization ability,algorithm stability and computation efficiency than that based on particle swarm optimization( PSO) and other heuristic algorithms.
The injections of distributed generation make the distribution network reconfiguration need to consider more security conditions. In this paper,a distribution network reconfiguration with the lowest active power loss in the reconstruction period and the network operation safety as the constraint is established in distribution networks based on the branch flow equations model. In order to solve the proposed mathematical model effectively,the convex relaxation method is used to relax the quadratic terms into mixed integer second-order cone programming form,and then,the proposed mathematical model of network reconfiguration could be solved using YALMIP effectively. Finally,the feasibility and effectiveness of the proposed network reconfiguration is verified via the modified IEEE 33-bus test system,and the simulation results show that the proposed reconfiguration based on convex optimization is better in global optimization ability,algorithm stability and computation efficiency than that based on particle swarm optimization( PSO) and other heuristic algorithms.
引文
[1]张涛,史苏怡,徐雪琴.基于二进制量子粒子群算法的含分布式电源配电网重构[J].电力系统保护与控制,2016,44(4):22-28.Zhang Tao,Shi Suyi,Xu Xueqin. Distribution network reconfiguration with distributed generation based on improved quantum binary particle swarm optimization[J]. Power Sytem Protection and Control,2016,44(4):22-28.
[2]杨明耀,周玲,奚露露,等.基于改进生物地理学算法计及可靠性的配电网重构[J].电测与仪表,2015,52(6):1-5.Yang Mingyao,Zhou Ling,Xi Lulu,et al. Distribution network reconfiguration considering the reliability factors based on improved hybrid biogeography algorithm[J]. Electrical Measurements&Instrumentation,2015,52(6):1-5.
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[4]马草原,孙展展,葛森,等.改进二进制粒子群算法在配电网重构中的应用[J].电测与仪表,2016,53(7):84-88.Ma Caoyuan,Sun Zhanzhan,Ge Sen,et al. The application of improved binary particle swarm optimization in distribution network reconfiguration[J]. Electrical Measurements&Instrumentation,2016,53(7):84-88.
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[6]许贤杰,周玲,蒋丹,等.基于人工蜂群算法计及线路故障的配电网网络重构[J].电测与仪表,2014,51(3):33-36.Xu Xianjie,Zhou Ling,Jiang Dan,et al. Distribution network reconfiguration based on artificial bee colony algorithm and line fault[J]. Electrical Measurements&Instrumentation,2014,51(3):33-36.
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[8] Khodr H. M.,Martinez-Crespo J.,Matos M. A.,et al. Distribution systems reconfiguration based on OPF using benders decomposition[J].IEEE Transactions on Power Delivery,2009,24(4):2166-2176.
[9]林川,梁峰,李漫,等.含有分布式电源配电网重构算法的研究[J].电力系统保护与控制,2011,39(5):41-46.
[10]陈梦,吕林,胡琪,等.基于改进和声搜索算法的含分布式电源的配电网重构[J].电测与仪表,2015,52(9):61-65.Chen Meng,Lv Lin,Hu Qi,et al. Distribution network reconfiguration with distributed generation based on improved harmony search algorithm[J]. Electrical Measurements&Instrumentation,2015,52(9):61-65.
[11]孙岩,马大为,魏辉.计及DG的配电网络重构研究[J].电测与仪表,2015,50(7):58-62.Sun Yan,Ma Dawei,Wei Hui. Research on distribution network reconfiguration with DG[J]. Electrical Measurements&Instrumentation,2015,50(7):58-62.
[12]张喆,李庚银,魏军强.考虑分布式电源随机特性的配电网电压质量概率评估[J].中国电机工程学报,2013,33(13):150-156.Zhang Zhe,Li Genyin,Wei Junqiang. Probabilistic evaluation of voltage quality in distribution networks considering the stochastic characteristic of distributed generators[J]. Proceedings of the CSEE,2013,33(13):150-156.
[13]赵俊华,文福拴,薛禹胜,等.计及电动汽车和风电出力不确定性的随机经济调度[J].电力系统自动化,2010,34(20):22-29.Zhao Junhua,Wen Fushuan,Xue Yusheng,et al. Power system stochastic economic dispatch considering uncertain outputs from plug-in electric vehicles and wind generators[J]. Automation of Electric Power Systems,2010,34(20):22-29.
[14]杨强.基于和声搜索算法的含分布式电源配电网重构研究[D].重庆:重庆大学,2016.
[15]Taylor J. A.,Hover F. S.. Convex models of distribution system reconfiguration[J]. IEEE Transactions on Power Systems,2012,27(3):1407-1413.
[16]Zhang D.,Fu Z.,Zhang L.. An improved TS algorithm for loss-minimum reconfiguration in large-scale distribution systems[J]. Electric Power Systems Research,2007,77(5-6):685-694.
[17]Ryo H.,Kazunori H.. Convex optimization-based signal detection for massive overloaded MIMO systems[J]. IEEE Transactions on Wireless Communications,2017,16(11):7080-7091.
[2]杨明耀,周玲,奚露露,等.基于改进生物地理学算法计及可靠性的配电网重构[J].电测与仪表,2015,52(6):1-5.Yang Mingyao,Zhou Ling,Xi Lulu,et al. Distribution network reconfiguration considering the reliability factors based on improved hybrid biogeography algorithm[J]. Electrical Measurements&Instrumentation,2015,52(6):1-5.
[3] Zin AA M,Ferdavani A K,Bin Khairuddin A,et al. Two circular-updating hybrid heuristic methods for minimum-loss reconfiguration of electrical distribution network[J]. IEEE Transactions on Power Systems,2013,28(2):1318-1323.
[4]马草原,孙展展,葛森,等.改进二进制粒子群算法在配电网重构中的应用[J].电测与仪表,2016,53(7):84-88.Ma Caoyuan,Sun Zhanzhan,Ge Sen,et al. The application of improved binary particle swarm optimization in distribution network reconfiguration[J]. Electrical Measurements&Instrumentation,2016,53(7):84-88.
[5]李振坤.配电网重构的混合粒子群算法[J].中国电机工程学报,2008,28(31):35-41.Li Zhenkun. Hybrid particle swarm optimization of distribution network reconfiguration[J]. Proceedings of the CSEE,2008,28(31):35-41.
[6]许贤杰,周玲,蒋丹,等.基于人工蜂群算法计及线路故障的配电网网络重构[J].电测与仪表,2014,51(3):33-36.Xu Xianjie,Zhou Ling,Jiang Dan,et al. Distribution network reconfiguration based on artificial bee colony algorithm and line fault[J]. Electrical Measurements&Instrumentation,2014,51(3):33-36.
[7] Jabr R. A.,Singh R.,Pal B. C.. Minimum loss network reconfiguration using mixed-integer convex programming[J]. IEEE Transactions on Power Systems,2012,27(2):1106-1115.
[8] Khodr H. M.,Martinez-Crespo J.,Matos M. A.,et al. Distribution systems reconfiguration based on OPF using benders decomposition[J].IEEE Transactions on Power Delivery,2009,24(4):2166-2176.
[9]林川,梁峰,李漫,等.含有分布式电源配电网重构算法的研究[J].电力系统保护与控制,2011,39(5):41-46.
[10]陈梦,吕林,胡琪,等.基于改进和声搜索算法的含分布式电源的配电网重构[J].电测与仪表,2015,52(9):61-65.Chen Meng,Lv Lin,Hu Qi,et al. Distribution network reconfiguration with distributed generation based on improved harmony search algorithm[J]. Electrical Measurements&Instrumentation,2015,52(9):61-65.
[11]孙岩,马大为,魏辉.计及DG的配电网络重构研究[J].电测与仪表,2015,50(7):58-62.Sun Yan,Ma Dawei,Wei Hui. Research on distribution network reconfiguration with DG[J]. Electrical Measurements&Instrumentation,2015,50(7):58-62.
[12]张喆,李庚银,魏军强.考虑分布式电源随机特性的配电网电压质量概率评估[J].中国电机工程学报,2013,33(13):150-156.Zhang Zhe,Li Genyin,Wei Junqiang. Probabilistic evaluation of voltage quality in distribution networks considering the stochastic characteristic of distributed generators[J]. Proceedings of the CSEE,2013,33(13):150-156.
[13]赵俊华,文福拴,薛禹胜,等.计及电动汽车和风电出力不确定性的随机经济调度[J].电力系统自动化,2010,34(20):22-29.Zhao Junhua,Wen Fushuan,Xue Yusheng,et al. Power system stochastic economic dispatch considering uncertain outputs from plug-in electric vehicles and wind generators[J]. Automation of Electric Power Systems,2010,34(20):22-29.
[14]杨强.基于和声搜索算法的含分布式电源配电网重构研究[D].重庆:重庆大学,2016.
[15]Taylor J. A.,Hover F. S.. Convex models of distribution system reconfiguration[J]. IEEE Transactions on Power Systems,2012,27(3):1407-1413.
[16]Zhang D.,Fu Z.,Zhang L.. An improved TS algorithm for loss-minimum reconfiguration in large-scale distribution systems[J]. Electric Power Systems Research,2007,77(5-6):685-694.
[17]Ryo H.,Kazunori H.. Convex optimization-based signal detection for massive overloaded MIMO systems[J]. IEEE Transactions on Wireless Communications,2017,16(11):7080-7091.