叶清泉,吴明启,吴旭光,陈伟,高天乐,项基
YE Qingquan,WU Mingqi,WU Xuguang,CHEN Wei,GAO Tianle,XIANG Ji

• 1:国网浙江省电力有限公司平阳县供电公司
• 2:浙江大学工程师学院
• 3:平阳县昌泰电力实业有限公司
• 4:浙江大学电气工程学院

摘要(Abstract)：

针对传统集中式最优潮流算法扩展性差的问题，提出一种适用于求解大规模分布式电源接入的直流系统最优潮流的完全分布式算法。首先，利用凸松弛方法将非凸的直流系统最优潮流模型转化为二阶锥规划模型；然后，基于ADMM（交替方向乘子法）建立求解该模型的分布式算法，再去除算法中的一致性变量，从而将其改进成为直流系统最优潮流的完全分布式算法；最后，在改进的IEEE 13节点和118节点系统算例上进行的仿真验证表明，该算法无需中央协调单元协同各区域的边界一致性信息，通过各区域的并行优化、相邻区域间少量边界节点信息的交换，即可得出辐射式以及环网拓扑的直流系统最优潮流问题的全局最优解。
To address the scalability limitations of traditional centralized optimal power flow algorithms, a fully distributed algorithm for solving optimal power flow in DC systems with large-scale distributed energy sources is proposed. Firstly, the non-convex optimal power flow model of DC systems is transformed into a second-order cone programming(SOCP) model using convex relaxation methods. Subsequently, a distributed algorithm based on the alternating direction method of multipliers(ADMM) is established to solve this model. The algorithm is then transformed by eliminating consensus variables into an improved fully distributed algorithm for optimal power flow in DC systems. Finally, in simulation tests on enhanced IEEE 13-node and 118-node systems, the algorithm proved capable of achieving a globally optimal solution for optimal power flow in radial and ring DC systems. Notably, this was accomplished without the necessity of a central coordinating unit to synchronize boundary consistency information across regions. Instead, the algorithm relies on parallel optimization within each region and the exchange of minimal boundary node information between adjacent regions.

关键词(KeyWords)： 最优潮流;分布式优化;凸松弛;二阶锥规划;交替方向乘子法
optimal power flow;distributed optimization;convex relaxation;SOCP;ADMM

Abstract:

Keywords:

基金项目(Foundation): 国网浙江省电力公司集体企业科技项目（2021-YF-PYCT-02）

作者(Author): 叶清泉,吴明启,吴旭光,陈伟,高天乐,项基
YE Qingquan,WU Mingqi,WU Xuguang,CHEN Wei,GAO Tianle,XIANG Ji

DOI: 10.19585/j.zjdl.202402002

参考文献(References)：

• [1]舒印彪，陈国平，贺静波，等.构建以新能源为主体的新型电力系统框架研究[J].中国工程科学，2021,23(6):61-69.SHU Yinbiao,CHEN Guoping,HE Jingbo,et al.Building a new electric power system based on new energy sources[J].Strategic Study of CAE,2021,23(6):61-69.
• [2]刘建伟，李学斌，刘晓鸥.有源配电网中分布式电源接入与储能配置[J].发电技术，2022,43(3):476-484.LIU Jianwei,LI Xuebin,LIU Xiaoou. Distributed Power Access and Energy Storage Configuration in Active Distribution Network[J].Power Generation Technology,2022,43(3):476-484.
• [3]初壮，孙健浩，赵蕾，等.考虑风光与负荷时序特性的主动配电网分布式电源优化配置[J].电力建设，2022,43(11):53-62.CHU Zhuang,SUN Jianhao,ZHAO Lei,et al. Optimal configuration of distributed power generation in active distribution network considering the characteristics of wind power and load time series[J]. Electric Power Construction,2022,43(11):53-62.
• [4]杨晓辉，杨爽，徐正宏，等.计及灵活配电单元的分布式电源优化配置方法[J].电力工程技术，2023,42(1):19-25.YANG Xiaohui,YANG Shuang,XU Zhenghong,et al.Optimal configuration method of distributed generation considering flexible distribution unit[J].Electric Power Engineering Technology,2023,42(1):19-25.
• [5]熊雄，季宇，李蕊，等.直流配用电系统关键技术及应用示范综述[J].中国电机工程学报，2018,38(23):6802-6813.XIONG Xiong,JI Yu,LI Rui,et al.An overview of key technology and demonstration application of DC distribution and consumption system[J]. Proceedings of the CSEE,2018,38(23):6802-6813.
• [6]KWON M,CHOI S.Control scheme for autonomous and smooth mode switching of bidirectional DC-DC converters in a DC microgrid[J].IEEE Transactions on Power Electronics,2018,33(8):7094-7104.
• [7]王珍意，黄文杰，赵川，等.含分布式电源的中压柔性直流配电网研究[J].电力科学与技术学报，2020,35(1):102-108.WANG Zhenyi,HUANG Wenjie,ZHAO Chuan,et al.Research on flexible medium voltage DC distribution network with distributed generation[J]. Journal of Electric Power Science and Technology,2020,35(1):102-108.
• [8]王星海，李鑫，王世坤，等.考虑分布式电源接入的配电网多目标优化重构方法研究[J].山东电力技术，2023,50(11):60-67.WANG Xinghai,LI Xin,WANG Shikun,et al.Research on multi-objective optimization and reconfiguration method of distribution network considering distributed generation access[J]. Shandong Electric Power,2023,50(11):60-67.
• [9]FRANK S,REBENNACK S.An introduction to optimal power flow:theory,formulation,and examples[J]. IIE Transactions,2016,48(12):1172-1197.
• [10]王玥娇，郭俊山，王辉，等.基于分布式电源出力独立随机性的配电网随机潮流算法[J].山东电力技术，2023,50(2):1-6.WANG Yuejiao,GUO Junshan,WANG Hui,et al.Probabilistic load flow algorithm of distribution network considering correlation characteristic of multi-type DGs[J].Shandong Electric Power,2023,50(2):1-6.
• [11]林哲，胡泽春，宋永华.最优潮流问题的凸松弛技术综述[J].中国电机工程学报，2019,39(13):3717-3728.LIN Zhe,HU Zechun,SONG Yonghua. Convex relaxation for optimal power flow problem:a recent review[J].Proceedings of the CSEE,2019,39(13):3717-3728.
• [12]刘先正，温家良，潘艳，等.采用改进粒子群算法的直流电网最优潮流控制[J].电网技术，2017,41(3):715-720.LIU Xianzheng,WEN Jialiang,PAN Yan,et al.OPF control of DC-grid using improved PSO algorithm[J].Power System Technology,2017,41(3):715-720.
• [13]POURBABAK H,ALSAFASFEH Q,SU W C. A distributed consensus-based algorithm for optimal power flow in DC distribution grids[J].IEEE Transactions on Power Systems,2020,35(5):3506-3515.
• [14]DEKA D, BACKHUS S,CHERTKOV M. Estimating distribution grid topologies:a graphical learning based approach[C]//2016 Power Systems Computation Conference(PSCC). June 20-24,2016. Genoa,Italy:IEEE,2016:1-7.
• [15]CHAI R Z,ZHANG B H,DOU J M,et al.Unified power flow algorithm based on the NR method for hybrid AC/DC grids incorporating VSCs[J]. IEEE Transactions on Power Systems,2016,31(6):4310-4318.
• [16]梁海峰，林嘉麟，李鹏.含分布式能源直流配电网的优化调度[J].中国电力，2016,49(3):123-127.LIANG Haifeng,LIN Jialin,LI Peng.Optimal dispatch of DC distribution network with distributed energy resources[J].Electric Power,2016,49(3):123-127.
• [17]江磊，专祥涛.分时电价下直流微网优化运行和容量配置研究[J].电力科学与技术学报，2019,34(1):80-87.JIANG Lei,ZHUAN Xiangtao. Study on optimal operation and capacity configuration of DC microgrid under time-of-use electricity price[J].Journal of Electric Power Science and Technology,2019,34(1):80-87.
• [18]权然，金国彬，陈庆，等.源网荷储互动的直流配电网优化调度[J].电力系统及其自动化学报，2021,33(2):41-50.QUAN Ran,JIN Guobin,CHEN Qing,et al.Optimal dispatching of DC distribution network based on source-gridload-storage interactions[J]. Proceedings of the CSUEPSA,2021,33(2):41-50.
• [19]GAN L W,LI N,TOPCU U,et al.Exact convex relaxation of optimal power flow in radial networks[J].IEEE Transactions on Automatic Control,2015,60(1):72-87.
• [20]李相俊，盛兴，闫士杰，等.基于交替方向乘子法的超大规模储能系统分布式协同优化[J].电网技术，2020,44(5):1681-1688.LI Xiangjun,SHENG Xing,YAN Shijie,et al.Distributed cooperative optimization for ultra-large-scale storage system based on alternating direction multiplier method[J].Power System Technology,2020,44(5):1681-1688.
• [21]AMINI S,PASQUALETTI F,MOHSENIAN-RAD H.Dynamic load altering attacks against power system stability:attack models and protection schemes[J].IEEE Transactions on Smart Grid,2018,9(4):2862-2872.
• [22]王洁，吴江，黄越辉，等.采用分布式算法的多区域电网风-光-储容量优化配置[J].西安交通大学学报，2023,57(1):15-24.WANG Jie,WU Jiang,HUANG Yuehui,et al.Optimal allocation of wind-photovoltaic-storage capacity in multiarea power grid based on distributed algorithm[J].Journal of Xi’an Jiaotong University,2023,57(1):15-24.
• [23]YANG T,YI X L,WU J F,et al.A survey of distributed optimization[J]. Annual Reviews in Control,2019,47:278-305.
• [24]潘晓杰，徐友平，解治军，等.堆栈式集成学习驱动的电力系统暂态稳定预防控制优化方法[J].发电技术，2023,44(6):865-874.PAN Xiaojie,XU Youping,XIE Zhijun,et al.Power System Transient Stability Preventive Control Optimization Method Driven by Stacking Ensemble Learning[J].Power Generation Technology,2023,44(6):865-874.
• [25]田浩，蒋哲，马琳琳，等.提升电网受电能力的多直流低压限流控制器参数优化方法[J].山东电力技术，2023,50(7):30-36.TIAN Hao,JIANG Zhe,MA Linlin,et al. Optimization method of multi-DC VDCOL parameters for improving the power receiving capacity of regional power grid[J].Shandong Electric Power,2023,50(7):30-36.
• [26]陈思磊，刘家欣，薛中正，等.基于MOSFET的直流电子辅助断路器设计及开断性能优化方法研究[J].高压电器，2023,59(9):234-241.CHENSilei,LIU Jiaxin,XUEZhongzheng,et al. Design of MOSFET. based DC Electronic Auxiliary Circuit Breaker and Its Optimization Method of Breaking Performance[J]. High Voltage Apparatus,2023,59(9):234-241.
• [27]YINGVIVATANAPONG C,LEE W J,LIU E. Multiarea power generation dispatch in competitive markets[J].IEEE Transactions on Power Systems,2008,23(1):196-203.
• [28]DI FAZIO A R,RISI C,RUSSO M,et al. Distributed voltage optimization based on the auxiliary problem principle in active distribution systems[C]//2020 55th International Universities Power Engineering Conference(UPEC). September 1-4,2020. Turin,Italy:IEEE,2020.1-6.
• [29]董密，张心露，杨建，等.孤岛模式下多源直流微电网经济运行的协调优化控制策略[J].电工电能新技术，2019,38(5):51-58.DONG Mi,ZHANG Xinlu,YANG Jian,et al. Coordinated optimization control strategy for economic operation of multi-source DC microgrid in island mode[J].Advanced Technology of Electrical Engineering and Energy,2019,38(5):51-58.
• [30]韩禹歆，陈来军，王召健，等.基于自适应步长ADMM的直流配电网分布式最优潮流[J].电工技术学报，2017,32(11):26-37.HAN Yuxin,CHEN Laijun,WANG Zhaojian,et al.Distributed optimal power flow in direct current distribution network based on alternative direction method of multipliers with dynamic step size[J].Transactions of China Electrotechnical Society,2017,32(11):26-37.
• [31]李国庆，惠鑫欣，孙福军，等.基于ADMM的含风电场系统分布式DC-OPF计算[J].太阳能学报，2019,40(8):2178-2186.LI Guoqing,HUI Xinxin,SUN Fujun,et al.Calculation of distributed dc optimal power flow with wind power integrated system based on ADMM[J].Acta Energiae Solaris Sinica,2019,40(8):2178-2186.
• [32]GAN L W,LOW S H.Optimal power flow in direct current networks[J].IEEE Transactions on Power Systems,2014,29(6):2892-2904.
• [33]BOYD S. Distributed optimization and statistical learning via the alternating direction method of multipliers[J].Foundations and Trends in Machine Learning,2010,3(1):1-122.
• [34]BABAEINEJADSAROOKOLAEE S, BIRCHFIELD A,CHRISTIE R D,et al. The power grid library for benchmarking ac optimal power flow algorithms[EB/OL]. arXiv,2021[2022-09-15]. https：//arxiv. org/abs/1908.02788v2.