Abstract Based on electric-traffic coupling units to link active distribution network and traffic system, a two-stage robust planning model of active distribution network containing the site selection decision of electric vehicle charging stations was proposed in view of the uncertainty of loads, distributed generation and electric vehicle charging demands. The first stage was used to optimize investment decisions on the basis of considering the feasibility of the second stage, which not only included the location of charging stations, the upgrading and extension of distribution lines, but also the investment of distributed generation, static reactive power compensator, on-load tap changer and energy storage. The operational layer was considered in the second stage, which was used for identification and feasibility detection of uncertain parameters. For the two-stage optimization problem in the form of min-max-min presented by the model, a two-stage solving method combining column and constraint generation with Benders decomposition was adopted to solve it. Finally, a coupling network consisting of improved 33-node distribution system and 25-node traffic system is simulated to verify the effectiveness of the proposed model and algorithm.
Kong Shunfei,Hu Zhijian,Xie Shiwei等. Two-Stage Robust Planning Model and Its Solution Algorithm of Active Distribution Network Containing Electric Vehicle Charging Stations[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 1093-1105.
[1] 范士雄, 蒲天骄, 刘广一, 等. 主动配电网中分布式发电系统接入技术及其进展[J]. 电工技术学报, 2016, 31(增刊2): 92-101. Fan Shixiong, Pu Tianjiao, Liu Guangyi, et al.Technologies and its trends of grid integration of distributed generation in active distribution network[J]. Transactions of China Electrotechnical Society, 2016, 31(S2): 92-101. [2] 曾鸣, 彭丽霖, 王丽华, 等. 主动配电网下分布式能源系统双层双阶段调度优化模型[J]. 电力自动化设备, 2016, 36(6): 108-115. Zeng Ming, Peng Lilin, Wang Lihua, et al.Two-stage dual-level dispatch optimization model of distributed energy system in active distribution network[J]. Electric Power Automation Equipment, 2016, 36(6): 108-115. [3] 刘柏良, 黄学良, 李军, 等. 含分布式电源及电动汽车充电站的配电网多目标规划研究[J]. 电网技术, 2015, 39(2): 450-456. Liu Boliang, Huang Xueliang, Li Jun, et al.Multi-objective planning of distribution network containing distributed generation and electric vehicle charging stations[J]. Power System Technology, 2015, 39(2): 450-456. [4] 管志成, 丁晓群, 张木银, 等. 考虑时序特性含电动汽车配电网分布式电源优化配置[J]. 电力系统保护与控制, 2017, 45(18): 24-31. Guan Zhicheng, Ding Xiaoqun, Zhang Muyin, et al.Optimal allocation of distributed generation of distributed network containing electric vehicle considering timing characteristics[J]. Power System Protection and Control, 2017, 45(18): 24-31. [5] 麻秀范, 王皓, 李颖, 等. 基于变权Voronoi图和混合粒子群算法的电动汽车充电站规划[J]. 电工技术学报, 2017, 32(19): 160-169. Ma Xiufan,Wang Hao,Li Ying,et al.Optimal planning of charging stations for electric vehicle based on weight-changed Voronoi diagram and hybrid particle swarm optimization algorithm[J]. Transactions of China Electrotechnical Society, 2017, 32(19): 160-169. [6] 葛少云, 朱林伟, 刘洪, 等. 基于动态交通仿真的高速公路电动汽车充电站规划[J]. 电工技术学报, 2018, 33(13): 2991-3001. Ge Shaoyun, Zhu Linwei, Liu Hong, et al.Optimal deployment of electric vehicle charging stations on the highway based on dynamic traffic simulation[J]. Transactions of China Electrotechnical Society, 2018, 33(13): 2991-3001. [7] 葛少云, 张有为, 刘洪, 等. 考虑网架动态重构的主动配电网双层扩展规划[J]. 电网技术, 2018, 42(5): 1526-1536. Ge Shaoyun, Zhang Youwei, Liu Hong, et al.Bi-layer expansion programming method for active distribution network considering dynamic grid reconfiguration[J]. Power System Technology, 2018, 42(5): 1526-1536. [8] 贾清泉, 赵美超, 孙玲玲, 等. 主动配电网中计及时序性与相关性的分布式光伏并网规划[J]. 中国电机工程学报, 2018, 38(6): 1719-1728, 1908. Jia Qingquan, Zhao Meichao, Sun Lingling, et al.Planning for grid-connection of distributed PVs considering the sequential feature and correlation in active distribution network[J]. Proceedings of the CSEE, 2018, 38(6): 1719-1728, 1908. [9] 谢仕炜, 胡志坚, 王珏莹, 等. 基于不确定随机网络理论的主动配电网多目标规划模型及其求解方法[J]. 电工技术学报, 2019, 34(5): 1038-1054. Xie Shiwei, Hu Zhijian, Wang Jueying, et al.A multi-objective planning model of active distribution network based on uncertain random network theory and its solution algorithm[J]. Transactions of China Electrotechnical Society, 2019, 34(5): 1038-1054. [10] 张旭升, 李瑞生, 黄利军, 等. 基于分层储能的主动配电网需求响应控制策略研究及实现[J]. 电力系统保护与控制, 2017, 45(15): 40-49. Zhang Xusheng, Li Ruisheng, Huang Lijun, et al.Research and application on demand response based on hierarchical power storage[J]. Power System Protection and Control, 2017, 45(15): 40-49. [11] 李燕, 胡志坚, 仉梦林, 等. 基于不确定网络理论计及经济性与可靠性的主动配电网规划[J]. 电力系统自动化, 2019, 43(16): 68-82. Li Yan, Hu Zhijian, Zhang Menglin, et al.Active distribution network planning considering economy and reliability based on uncertain network theory[J]. Automation of Electric Power Systems, 2019, 43(16): 68-82. [12] 马丽叶, 王玉翠, 王楚通. 主动配电网中计及网络重构的分布式电源鲁棒规划[J]. 电力系统自动化, 2018, 42(11): 94-101. Ma Liye, Wang Yucui, Wang Chutong.Robust planning of distributed generators in active distribution network considering network reconfiguration[J]. Automation of Electric Power Systems, 2018, 42(11): 94-101. [13] 刘佳, 徐谦, 程浩忠, 等. 计及主动配电网转供能力的可再生电源双层优化规划[J]. 电工技术学报, 2017, 32(9): 179-188. Liu Jia, Xu Qian, Cheng Haozhong, et al.Bi-level optimal renewable energy sources planning considering active distribution network power transfer capability[J]. Transactions of China Electrotechnical Society, 2017, 32(9): 179-188. [14] 夏鹏, 刘文颖, 蔡万通, 等. 基于风电离散化概率序列的机会约束规划优化调度方法[J]. 电工技术学报, 2018, 33(21): 5069-5079. Xia Peng, Liu Wenying, Cai Wantong, et al.Optimal scheduling method of chance constrained programming based on discrete wind power probability sequences[J]. Transactions of China Electrotechnical Society, 2018, 33(21): 5069-5079. [15] 仉梦林, 胡志坚, 李燕, 等. 基于可行性检测的考虑风电和需求响应的机组组合鲁棒优化方法[J]. 中国电机工程学报, 2018, 38(11): 3184-3194. Zhang Menglin, Hu Zhijian, Li Yan, et al.A robust optimization method for unit commitment considering wind power and demand response based on feasibility testing[J]. Proceedings of the CSEE, 2018, 38(11): 3184-3194. [16] Ding Tao, Liu Shiyu, Yuan Wei, et al.A two-stage robust reactive power optimization considering uncertain wind power integration in active distribution networks[J]. IEEE Transactions on Sustainable Energy, 2016, 7(1): 301-311. [17] Amjady N, Attarha A, Dehghan S, et al.Adaptive robust expansion planning for a distribution network with DERs[J]. IEEE Transactions on Power Systems, 2018, 33(2): 1698-1715. [18] 高红均, 刘俊勇, 魏震波, 等. 主动配电网分层鲁棒规划模型及其求解方法[J]. 中国电机工程学报, 2017, 37(5): 1389-1400. Gao Hongjun, Liu Junyong, Wei Zhenbo, et al.A bi-level robust planning model of active distribution network and its solution method[J]. Proceedings of the CSEE, 2017, 37(5): 1389-1400. [19] 谭欣欣. 基于鲁棒优化的电动汽车充电站选址决策研究[D]. 北京: 北京理工大学, 2016. [20] Wei Dachuan.An optimized floyd algorithm for the shortest path problem[J]. Journal of Networks, 2010, 5(12): 1496-1504. [21] 田园园, 廖清芬, 刘涤尘, 等. 面向综合能源供给侧改革的城市配网规划方法[J]. 电网技术, 2016, 40(10): 2924-2934. Tian Yuanyuan, Liao Qingfen, Liu Dichen, et al.Planning of urban distribution network considering the integrated energy supply-side reform[J]. Power System Technology, 2016, 40(10): 2924-2934. [22] 高红均, 刘俊勇. 考虑不同类型DG和负荷建模的主动配电网协同规划[J]. 中国电机工程学报, 2016, 36(18): 4911-4922, 5115. Gao Hongjun, Liu Junyong.Coordinated planning considering different types of DG and load in active distribution network[J]. Proceedings of the CSEE, 2016, 36(18): 4911-4922, 5115. [23] Xie Shiwei, Hu Zhijian, Zhou Daming, et al.Multi-objective active distribution networks expansion planning by scenario-based stochastic programming considering uncertain and random weight of network[J]. Applied Energy, 2018, 219: 207-225. [24] Dehghan S, Amjady N, Kazemi A.Two-stage robust generation expansion planning: a mixed integer linear programming model[J]. IEEE Transactions on Power Systems, 2014, 29(2): 584-597. [25] Ruiz C, Conejo A J.Robust transmission expansion planning[J]. European Journal of Operational Research, 2015, 242(2): 390-401. [26] Duran M A, Grossmann I E.An outer-approximation algorithm for a class of mixed-integer nonlinear programs[J]. Mathematical Programming, 1986, 36(3): 307-339.
2020, Vol. 35 
