计及参与单元有序控制的主动配电网供电能力模型
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摘要
为充分发挥主动配电网中清洁能源及多种可控元件的主动协调能力,提高配电网最大供电能力TSC(to?tal supply capacity),提出兼顾主动配电网结构灵活性与参与单元多样性的供电能力双层计算模型。上层模型以网络重构为手段提升系统供电能力;下层模型针对多类型参与单元的不确定性建模,以调节成本为目标挖掘多参与单元有序控制下提升主动配电网供电能力的潜力。其次,为简化模型求解复杂度,利用卡罗需-库恩-塔克KKT(Karush-Kuhn-Tucker)条件将双层模型转化为单层模型,并提出改进的烟花粒子群优化算法计算主动配电网最大供电负荷。最后,以改进的IEEE33节点系统对所提双层模型及算法进行了验证,算例验证了所提模型及算法的正确性和有效性。
To give full play to the initiative coordination capability of clean energy and multiple controllable components in active distribution network and improve the distribution network’total supply capacity(TSC),a bi-level supply capacity model is proposed by taking into account both the flexible structure of active distribution network and the diversity of participating units.The upper model improves the system’s power supply capacity by means of network reconfiguration,while the lower model models on the uncertainty of multitype participating units with the objective of adjusting cost,and digs the potential of improving the power supply capacity of active distribution network with the orderly control of multiple participating units.Next,to reduce the complexity in solving the model,the bi-level model is transformed into a single-level model by means of Karush-Kuhn-Tucker conditions,and an improved fireworks particle swarm optimization(FPSO)algorithm is put forward to compute active distribution network’s total power supply load.At last,an improve IEEE 33-node system is used to verify the proposed bi-level model and the corresponding algorithm,and simulation results show that they are correct and valid.
To give full play to the initiative coordination capability of clean energy and multiple controllable components in active distribution network and improve the distribution network’total supply capacity(TSC),a bi-level supply capacity model is proposed by taking into account both the flexible structure of active distribution network and the diversity of participating units.The upper model improves the system’s power supply capacity by means of network reconfiguration,while the lower model models on the uncertainty of multitype participating units with the objective of adjusting cost,and digs the potential of improving the power supply capacity of active distribution network with the orderly control of multiple participating units.Next,to reduce the complexity in solving the model,the bi-level model is transformed into a single-level model by means of Karush-Kuhn-Tucker conditions,and an improved fireworks particle swarm optimization(FPSO)algorithm is put forward to compute active distribution network’s total power supply load.At last,an improve IEEE 33-node system is used to verify the proposed bi-level model and the corresponding algorithm,and simulation results show that they are correct and valid.
引文
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[5]李雨荣,赵冬梅,吕勃翰(Li Yurong,Zhao Dongmei,LüBohan).含间歇性能源的电网供电能力评估(Evaluation on power supply capability of power grid with intermittent sources)[J].现代电力(Modern Electric Power),2017,34(2):28-35.
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[10]肖峻,刚发运,黄仁乐,等(Xiao Jun,Gang Fayun,Huang Renle,et al).柔性配电网的最大供电能力模型(Total supply capability model for flexible distribution network)[J].电力系统自动化(Automation of Electric Power Systems),2017,41(5):30-38.
[11]李培强,李文英,唐捷,等(Li Peiqiang,Li Wenying,Tang Jie,et al).基于SOC优化的混合储能平抑风电波动方法(Method of hybrid energy storage to smooth the fluctuations for wind power based on state of charge optimization)[J].电力系统及其自动化学报(Proceedings of the CSU-EPSA),2017,29(3):20-27.
[12]龙禹,王小英,周琪,等(Long Yu,Wang Xiaoying,Zhou Qi,et al).考虑最大供电能力指标约束的配电网降损重构(Distribution network reconfiguration for loss reduction considering maximum power supply capability index)[J].电力系统及其自动化学报(Proceedings of the CSU-EP-SA),2017,29(3):131-134.
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[14]杨荣华,刘建华(Yang Ronghua,Liu Jianhua).量子粒子群算法求解整数规划的方法(Solving integer programming based on quantum particle swarm optimization)[J].科学技术与工程(Science Technology and Engineering),2011,11(33):8195-8202.
[15]谭营,郑少秋(Tan Ying,Zheng Shaoqiu).烟花算法研究进展(Recent advances in fireworks algorithm)[J].智能系统学报(CAAI Transactions on Intelligent Systems),2014,9(5):515-528.
[16]Luo F,Wang C,Xiao J,et al.Rapid evaluation method for power supply capability of urban distribution system based on N-1 contingency analysis of main-transformers[J].International Journal of Electrical Power&Energy Systems,2010,32(10):1063-1068.
[17]Fortuny-Amat J,McCarl B.A representation and economic interpretation of a two-level programming problem[J].Journal of the Operational Research Society,1981,32(9):783-792.
[18]张嘉堃,韦钢,朱兰,等(Zhang Jiakun,Wei Gang,Zhu Lan,et al).基于盲数模型的含分布式电源配电网供电能力评估(Blind-number model based power supply capability evaluation of distribution networks with distributed generators)[J].电力系统自动化(Automation of Electric Power Systems),2016,40(8):64-70.
[19]张璨,林振智,文福拴,等(Zhang Can,Lin Zhenzhi,Wen Fushuan,et al).电力系统网络重构的多目标双层优化策略(A muliti-objective bi-level optimization strategy for network reconfiguration of power systems)[J].电力系统自动化(Automation of Electric Power Systems),2014,38(7):29-38.
[20]Zeng Bo,Zhang Jianhua,Yang Xu,et al.Integrated planning for transition to low-carbon distribution system with renewable energy generation and demand response[J].IEEE Trans on Power Systems,2014,29(3):1153-1165.
[21]Zhang Xin,Li Huiling,Luo Hongmei,et al.An evaluation method of maximum urban power supply capability based on dynamic voltage stability margin[C]//IEEE International Conference on Electric Utility Deregulation,Restructuring and Power Technologies.Changsha,China,2015:1400-1404.
[22]高亚静,朱静,程华新,等(Gao Yajing,Zhu Jing,Cheng Huaxin,et al).计及不确定性因素基于多场景的主动配电系统短期供电能力评估(Evaluation on the short-term power supply capacity of active distribution system based on multiple scenarios considering uncertainties)[J].中国电机工程学报(Proceedings of the CSEE),2016,36(22):6076-6085.
[23]卢志刚,陈伟坤,张晓辉,等(Lu Zhigang,Chen Weikun,Zhang Xiaohui,et al).城市电网输配全局最大供电能力分析(Global maximum power supply capability analysis of city power grid)[J].电网技术(Power System Technology),2015,39(6):1623-1630.--------
[2]刘建鹏,高亚静,梁海峰,等(Liu Jianpeng,Gao Yajing,Liang Haifeng,et al).基于负荷预测的城市配电网供电能力计算(Power supply capacity calculation for urban distribution network based on load forecast)[J].华东电力(East China Electric Power),2014,42(5):0873-0877.
[3]肖峻,谷文卓,郭晓丹,等(Xiao Jun,Gu Wenzhuo,Guo Xiaodan,et al).配电系统供电能力模型(A supply capability model for distribution systems)[J].电力系统自动化(Automation of Electric Power Systems),2011,35(24):47-52.
[4]叶莘,韦钢,马雷鹏,等(Ye Shen,Wei Gang,Ma Leipeng,et al).含分布式电源的直流配电网供电能力评估(Power supply capability evaluation of DC distribution network with distributed generators)[J].电力系统自动化(Automation of Electric Power Systems),2017,41(9):58-64.
[5]李雨荣,赵冬梅,吕勃翰(Li Yurong,Zhao Dongmei,LüBohan).含间歇性能源的电网供电能力评估(Evaluation on power supply capability of power grid with intermittent sources)[J].现代电力(Modern Electric Power),2017,34(2):28-35.
[6]国宗,韦钢,李明,等(Guo Zong,Wei Gang,Li Ming,et al).含分布式电源的配电网供电能力评估方法(Assessment of power supply capability for distribution network with distributed generations)[J].现代电力(Modern Electric Power),2015,32(4):56-61.
[7]朱静,高亚静,刘建鹏,等(Zhu Jing,Gao Yajing,Liu Jianpeng,et al).主动配电网供电能力实时评估方法(Real-time evaluation for load capability of active distribution network)[J].中国电力(Electric Power),2015,48(12):96-102.
[8]国宗,韦钢,郭运城,等(Guo Zong,Wei Gang,Guo Yuncheng,et al).面向供电能力提升的配电网储能功率动态优化(Dynamic optimization of energy storage power in distribution network based on power supply capacity)[J].电力系统保护与控制(Power System Protection and Control),2015,43(19):1-8.
[9]肖峻,刘世嵩,李振生,等(Xiao Jun,Liu Shisong,Li Zhensheng,et al).基于潮流计算的配电网最大供电能力模型(Model of total supply capability for distribution network based on power flow calculation)[J].中国电机工程学报(Proceedings of the CSEE),2014,34(31):5516-5524.
[10]肖峻,刚发运,黄仁乐,等(Xiao Jun,Gang Fayun,Huang Renle,et al).柔性配电网的最大供电能力模型(Total supply capability model for flexible distribution network)[J].电力系统自动化(Automation of Electric Power Systems),2017,41(5):30-38.
[11]李培强,李文英,唐捷,等(Li Peiqiang,Li Wenying,Tang Jie,et al).基于SOC优化的混合储能平抑风电波动方法(Method of hybrid energy storage to smooth the fluctuations for wind power based on state of charge optimization)[J].电力系统及其自动化学报(Proceedings of the CSU-EPSA),2017,29(3):20-27.
[12]龙禹,王小英,周琪,等(Long Yu,Wang Xiaoying,Zhou Qi,et al).考虑最大供电能力指标约束的配电网降损重构(Distribution network reconfiguration for loss reduction considering maximum power supply capability index)[J].电力系统及其自动化学报(Proceedings of the CSU-EP-SA),2017,29(3):131-134.
[13]Qi Xianjun,Zhang Liming,Zhang Jingjing,et al.Reliable power supply capability analysis for electric distribution network including distributed generations based on probabilistic reliability[C]//IEEE 7th International Symposium on Power Electronics for Distributed Generation Systems.Vancouver,Canada,2016.
[14]杨荣华,刘建华(Yang Ronghua,Liu Jianhua).量子粒子群算法求解整数规划的方法(Solving integer programming based on quantum particle swarm optimization)[J].科学技术与工程(Science Technology and Engineering),2011,11(33):8195-8202.
[15]谭营,郑少秋(Tan Ying,Zheng Shaoqiu).烟花算法研究进展(Recent advances in fireworks algorithm)[J].智能系统学报(CAAI Transactions on Intelligent Systems),2014,9(5):515-528.
[16]Luo F,Wang C,Xiao J,et al.Rapid evaluation method for power supply capability of urban distribution system based on N-1 contingency analysis of main-transformers[J].International Journal of Electrical Power&Energy Systems,2010,32(10):1063-1068.
[17]Fortuny-Amat J,McCarl B.A representation and economic interpretation of a two-level programming problem[J].Journal of the Operational Research Society,1981,32(9):783-792.
[18]张嘉堃,韦钢,朱兰,等(Zhang Jiakun,Wei Gang,Zhu Lan,et al).基于盲数模型的含分布式电源配电网供电能力评估(Blind-number model based power supply capability evaluation of distribution networks with distributed generators)[J].电力系统自动化(Automation of Electric Power Systems),2016,40(8):64-70.
[19]张璨,林振智,文福拴,等(Zhang Can,Lin Zhenzhi,Wen Fushuan,et al).电力系统网络重构的多目标双层优化策略(A muliti-objective bi-level optimization strategy for network reconfiguration of power systems)[J].电力系统自动化(Automation of Electric Power Systems),2014,38(7):29-38.
[20]Zeng Bo,Zhang Jianhua,Yang Xu,et al.Integrated planning for transition to low-carbon distribution system with renewable energy generation and demand response[J].IEEE Trans on Power Systems,2014,29(3):1153-1165.
[21]Zhang Xin,Li Huiling,Luo Hongmei,et al.An evaluation method of maximum urban power supply capability based on dynamic voltage stability margin[C]//IEEE International Conference on Electric Utility Deregulation,Restructuring and Power Technologies.Changsha,China,2015:1400-1404.
[22]高亚静,朱静,程华新,等(Gao Yajing,Zhu Jing,Cheng Huaxin,et al).计及不确定性因素基于多场景的主动配电系统短期供电能力评估(Evaluation on the short-term power supply capacity of active distribution system based on multiple scenarios considering uncertainties)[J].中国电机工程学报(Proceedings of the CSEE),2016,36(22):6076-6085.
[23]卢志刚,陈伟坤,张晓辉,等(Lu Zhigang,Chen Weikun,Zhang Xiaohui,et al).城市电网输配全局最大供电能力分析(Global maximum power supply capability analysis of city power grid)[J].电网技术(Power System Technology),2015,39(6):1623-1630.--------