主动配电网分布式鲁棒优化调度方法
|
摘要
分布式电源渗透率的增长使配电网运行的不确定性增大,加上分布式电源与配电网往往归属于不同利益主体,集中式的确定性优化调度方法已不能满足主动配电网的实际运行需求。考虑可再生能源出力的不确定性,建立了主动配电网分布式鲁棒优化调度模型。首先将配电网潮流方程进行简化以获得节点电压和注入功率之间的近似线性关系,进而推导出节点电压安全和线路电流安全约束的近似线性表达式;接着通过对偶优化理论将鲁棒优化调度模型转化为不含不确定变量的二次规划模型;然后将二次规划模型分拆成配电网侧和可控资源侧的优化子问题,采用交替方向乘子法对各子问题进行分布式优化求解。最后以修改的IEEE 33节点系统为例,验证了该方法的正确性和有效性。
With increasing penetration of distributed generators, uncertainty of distribution network operation increases. Moreover, distributed generators and distribution network often belong to different stakeholders. The centralized deterministic optimal dispatch method can no longer meet the actual operational requirements of active distribution network(ADN). Considering the uncertainty of renewable energy output, a distributed robust optimal dispatch model for ADN is established. Firstly, the AC power flow equation is linearized,so the approximate linear relationship between node voltage and injection power is obtained, and the approximate linear expression of node voltage security and line current security constraint is derived. Secondly, by using dual optimization theory, the robust optimal dispatch model is transformed into a quadratic programming model without uncertain variables.Then, the quadratic programming model is separated into sub-optimal problems of the distribution network side and the controllable resource side, and the sub-optimal problems are solved in a distributed way using alternate directional multiplier method. Finally, with the case study of modified IEEE33-bus system, correctness and effectiveness of the proposed method are verified.
With increasing penetration of distributed generators, uncertainty of distribution network operation increases. Moreover, distributed generators and distribution network often belong to different stakeholders. The centralized deterministic optimal dispatch method can no longer meet the actual operational requirements of active distribution network(ADN). Considering the uncertainty of renewable energy output, a distributed robust optimal dispatch model for ADN is established. Firstly, the AC power flow equation is linearized,so the approximate linear relationship between node voltage and injection power is obtained, and the approximate linear expression of node voltage security and line current security constraint is derived. Secondly, by using dual optimization theory, the robust optimal dispatch model is transformed into a quadratic programming model without uncertain variables.Then, the quadratic programming model is separated into sub-optimal problems of the distribution network side and the controllable resource side, and the sub-optimal problems are solved in a distributed way using alternate directional multiplier method. Finally, with the case study of modified IEEE33-bus system, correctness and effectiveness of the proposed method are verified.
引文
[1]Hidalgo R,Abbey C,Joos G.A review of active distribution networks enabling technologies[C]//IEEE PES General Meeting.Minneapolis,MN,USA:IEEE,2010.
[2]蒲天骄,刘威,陈乃仕,等.基于一致性算法的主动配电网分布è??式优化调度[J].中国电机工程学报,2017,37(6):1579-1590.Pu Tianjiao,Liu Wei,Chen Naishi,et al.Distributed optimal dispatching of active distribution network based on consensus algorithm[J].Proceedings of the CSEE,2017,37(6):1579-1590(in Chinese).
[3]谢俊,陈凯旋,岳东,等.基于多智能体系统一致性算法的电力系统分布式经济调度策略[J].电力自动化设备,2016,36(2):112-117.Xie Jun,Chen Kaixuan,Yue Dong,et al.Distributed economic dispatch based on consensus algorithm of multi agent system for power system[J].Electric Power Automation Equipment,2016,36(2):112-117(in Chinese).
[4]李佩杰,陆镛,白晓清,等.基于交替方向乘子法的动态经济调度分散式优化[J].中国电机工程学报,2015,35(10):2428-2435.Li Peijie,Lu Yong,Bai Xiaoqing,et al.Decentralized optimization for dynamic economic dispatch based on alternating direction method of multipliers[J].Proceedings of the CSEE,2015,35(10):2428-2435(in Chinese).
[5]董雷,龚成尧,陈乃仕,等.基于交替方向乘子法的主动配电网分布式多目标优化调度[J].电力建设,2017,38(4):41-49.Dong Lei,Gong Chengyao,Chen Naishi,et al.Multi-objective distributed optimal dispatch of active distribution network based on alternating direction method of multipliers[J].Electric Power Construction,2017,38(4):41-49(in Chinese).
[6]欧阳聪,刘明波,林舜江,等.采用同步型交替方向乘子法的微电网分散式动态经济调度算法[J].电工技术学报,2017,32(5):134-142.Ouyang Cong,Liu Mingbo,Lin Shunjiang,et al.Decentralized dynamic economic dispatch algorithm of microgrids using synchronous alternating direction method of multipliers[J].Transactions of China Electrotechnical Society,2017,32(5):134-142(in Chinese).
[7]Zheng Weiye,Wu Wenchuan,Zhang Boming,et al.Fully distributed multi-area economic dispatch for active distribution networks considering network loss[J].IET Generation,Transmission&Distribution,2015,9(12):1341-1351.
[8]谢敏,吉祥,柯少佳,等.基于目标级联分析法的多微网主动配电系统自治优化经济调度[J].中国电机工程学报,2017,37(17):4911-4921.Xie Min,Ji Xiang,Ke Shaojia,et al.Autonomous optimized economic dispatch of active distribution power system with multimicrogrids based on analytical target cascading theory[J].Proceedings of the CSEE,2017,37(17):4911-4921(in Chinese).
[9]Bolognani S,Zampieri S.On the existence and linear approximation of the power flow solution in power distribution networks[J].IEEETransactions on Power Systems,2016,31(1):163-172.
[10]Bolognani S,Zampieri S.A distributed control strategy for reactive power compensation in smart microgrids[J].IEEE Transactions on Automatic Control,2013,58(11):2818-2833.
[11]Guggilam S S,Dall’Anese E,Chen Y C,et al.Scalable optimization methods for distribution networks with high PV integration[J].IEEETransactions on Smart Grid,2016,7(4):2061-2070.
[12]刘一欣,郭力,王成山.微电网两阶段鲁棒优化经济调度方法[J].中国电机工程学报,2018,38(14):4013-4022.Liu Yixin,Guo Li,Wang Chengshan.Economic dispatch of microgrid based on two stage robust optimization[J].Proceedings of the CSEE,2018,38(14):4013-4022(in Chinese).
[13]袁亚湘,孙文瑜.最优化理论与方法[M].北京:科学出版社,1997.
[14]曹益奇,白晓清,王婷婷,等.计及分布式电源随机出力的三相配电网可调鲁棒无功优化[J].电网技术,2018,42(4):1217-1225.Cao Yiqi,Bai Xiaoqing,Wang Tingting,et al.Adjustable robust reactive power optimization considering random distributed power integration in three-phase distribution network[J].Power System Technology,2018,42(4):1217-1225(in Chinese).
[15]Soyster A L.Convex programming with set-inclusive constraints and applications to inexact liner programming[J].Operations Research,1973,21(5):1154-1157.
[16]彭春华,谢鹏,詹骥文,等.基于改进细菌觅食算法的微网鲁棒经济调度[J].电网技术,2014,38(9):2392-2398.Peng Chunhua,Xie Peng,Zhan Jiwen,et al.Robust economic dispatch of microgrid using improved bacterial foraging algorithm[J].Power System Technology,2014,38(9):2392-2398(in Chinese).
[2]蒲天骄,刘威,陈乃仕,等.基于一致性算法的主动配电网分布è??式优化调度[J].中国电机工程学报,2017,37(6):1579-1590.Pu Tianjiao,Liu Wei,Chen Naishi,et al.Distributed optimal dispatching of active distribution network based on consensus algorithm[J].Proceedings of the CSEE,2017,37(6):1579-1590(in Chinese).
[3]谢俊,陈凯旋,岳东,等.基于多智能体系统一致性算法的电力系统分布式经济调度策略[J].电力自动化设备,2016,36(2):112-117.Xie Jun,Chen Kaixuan,Yue Dong,et al.Distributed economic dispatch based on consensus algorithm of multi agent system for power system[J].Electric Power Automation Equipment,2016,36(2):112-117(in Chinese).
[4]李佩杰,陆镛,白晓清,等.基于交替方向乘子法的动态经济调度分散式优化[J].中国电机工程学报,2015,35(10):2428-2435.Li Peijie,Lu Yong,Bai Xiaoqing,et al.Decentralized optimization for dynamic economic dispatch based on alternating direction method of multipliers[J].Proceedings of the CSEE,2015,35(10):2428-2435(in Chinese).
[5]董雷,龚成尧,陈乃仕,等.基于交替方向乘子法的主动配电网分布式多目标优化调度[J].电力建设,2017,38(4):41-49.Dong Lei,Gong Chengyao,Chen Naishi,et al.Multi-objective distributed optimal dispatch of active distribution network based on alternating direction method of multipliers[J].Electric Power Construction,2017,38(4):41-49(in Chinese).
[6]欧阳聪,刘明波,林舜江,等.采用同步型交替方向乘子法的微电网分散式动态经济调度算法[J].电工技术学报,2017,32(5):134-142.Ouyang Cong,Liu Mingbo,Lin Shunjiang,et al.Decentralized dynamic economic dispatch algorithm of microgrids using synchronous alternating direction method of multipliers[J].Transactions of China Electrotechnical Society,2017,32(5):134-142(in Chinese).
[7]Zheng Weiye,Wu Wenchuan,Zhang Boming,et al.Fully distributed multi-area economic dispatch for active distribution networks considering network loss[J].IET Generation,Transmission&Distribution,2015,9(12):1341-1351.
[8]谢敏,吉祥,柯少佳,等.基于目标级联分析法的多微网主动配电系统自治优化经济调度[J].中国电机工程学报,2017,37(17):4911-4921.Xie Min,Ji Xiang,Ke Shaojia,et al.Autonomous optimized economic dispatch of active distribution power system with multimicrogrids based on analytical target cascading theory[J].Proceedings of the CSEE,2017,37(17):4911-4921(in Chinese).
[9]Bolognani S,Zampieri S.On the existence and linear approximation of the power flow solution in power distribution networks[J].IEEETransactions on Power Systems,2016,31(1):163-172.
[10]Bolognani S,Zampieri S.A distributed control strategy for reactive power compensation in smart microgrids[J].IEEE Transactions on Automatic Control,2013,58(11):2818-2833.
[11]Guggilam S S,Dall’Anese E,Chen Y C,et al.Scalable optimization methods for distribution networks with high PV integration[J].IEEETransactions on Smart Grid,2016,7(4):2061-2070.
[12]刘一欣,郭力,王成山.微电网两阶段鲁棒优化经济调度方法[J].中国电机工程学报,2018,38(14):4013-4022.Liu Yixin,Guo Li,Wang Chengshan.Economic dispatch of microgrid based on two stage robust optimization[J].Proceedings of the CSEE,2018,38(14):4013-4022(in Chinese).
[13]袁亚湘,孙文瑜.最优化理论与方法[M].北京:科学出版社,1997.
[14]曹益奇,白晓清,王婷婷,等.计及分布式电源随机出力的三相配电网可调鲁棒无功优化[J].电网技术,2018,42(4):1217-1225.Cao Yiqi,Bai Xiaoqing,Wang Tingting,et al.Adjustable robust reactive power optimization considering random distributed power integration in three-phase distribution network[J].Power System Technology,2018,42(4):1217-1225(in Chinese).
[15]Soyster A L.Convex programming with set-inclusive constraints and applications to inexact liner programming[J].Operations Research,1973,21(5):1154-1157.
[16]彭春华,谢鹏,詹骥文,等.基于改进细菌觅食算法的微网鲁棒经济调度[J].电网技术,2014,38(9):2392-2398.Peng Chunhua,Xie Peng,Zhan Jiwen,et al.Robust economic dispatch of microgrid using improved bacterial foraging algorithm[J].Power System Technology,2014,38(9):2392-2398(in Chinese).