A Unified Optimal Placement Method for Multiple Types of Devices in Distribution Networks Considering Reliability Demand
Wang Yi1, Yang Zhifang1, Yu Juan1, Liu Junyong2
1. State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University Chongqing 400044 China; 2. College of Electrical Engineering Sichuan University Chengdu 610065 China
Abstract：With the deepening of power system reform, providing high-quality and customized power supply reliability services to users is one of the important tasks of electricity enterprises in the future. Optimizing the placement of devices in the distribution network is an important foundation to realize an efficient supply of reliability services. However, the existing routing methodologies-based device placement modeling approaches ignore some combination actions of different devices and do not apply to the unified optimal placement problem for multiple types of devices with complex combination action mechanisms. To further improve the flexibility, accuracy, and economy of reliability service supply, this paper proposes a unified optimal placement method for multiple types of devices in distribution networks considering reliability demand. Firstly, based on the analysis of network topology and device action characteristics, the device operation ability indicator matrix is constructed; secondly, based on the proposed matrix, combining the analysis of device combination action mechanism and device action performance, intermediate variables including action situation variables of the single device, the same type device combination, and the multiple types device combination are introduced are introduced and corresponding constraints are constructed to describe the relationship between device placement decision variables and user reliability index variables; thirdly, considering the investment, operation and maintenance cost of the devices and users' differentiated reliability demand, a unified optimal placement model of multiple devices is established, formulated as a mixed integer linear programming problem, including sectional switches, circuit breakers, external tie lines, internal tie lines, tie line switches, backup lines, power switching switches, load control switches, etc. The numerical simulation is developed based on the regional distribution network, which contains 11 substation nodes, 83 load nodes, 166 sectional switch or circuit breaker installation locations, and 50 tie line installation locations. It is assumed that the system contains three types of users A, B, and C, where the reliability level requirements or outage costs are highest for A users and lowest for C users. To verify the effectiveness and necessity of the proposed method, this paper sets up 9 comparison cases in each of the two situations of rigid and flexible reliability demand, according to the types of devices in the joint optimal placement. From case 1 to case 9, the types of devices considered in the joint optimal placement model increase gradually. The following conclusions can be drawn from the simulation analysis: (1) Considering rigid reliability demand, as the types of device increase, the rigid reliability demand of all users can be satisfied, and the total investment, operation and maintenance cost of the devices decreases. (2) Considering flexible reliability demand, as the types of device increase, the total system cost, including the total investment, operation and maintenance cost of the devices, and the outage cost of users, decreases significantly. (3) Considering flexible reliability demand, as the types of devices increase, the average interruption duration of all types of users shows a decreasing trend. The above conclusions indicate that the proposed method can give full play to the characteristics and combined effects of the multiple types of devices, and effectively improve the economy of device allocation and flexibility of reliability service supply.
王怡, 杨知方, 余娟, 刘俊勇. 考虑可靠性需求的配电网多种设备统一优化配置[J]. 电工技术学报, 2023, 38(24): 6727-6743.
Wang Yi, Yang Zhifang, Yu Juan, Liu Junyong. A Unified Optimal Placement Method for Multiple Types of Devices in Distribution Networks Considering Reliability Demand. Transactions of China Electrotechnical Society, 2023, 38(24): 6727-6743.
[1] 张晓萱, 薛松, 杨素, 等. 售电侧市场放开国际经验及其启示[J]. 电力系统自动化, 2016, 40(9): 1-8. Zhang Xiaoxuan, Xue Song, Yang Su, et al.International experience and lessons in power sales side market liberalization[J]. Automation of Electric Power Systems, 2016, 40(9): 1-8. [2] 陈晨, 董晓天, 管文林, 等. 新电改形势下地区供电公司服务模式与售电业务研究[J]. 电气技术, 2017, 18(10): 5-12. Chen Chen, Dong Xiaotian, Guan Wenlin, et al.Research on service mode and sale of electric power supply company under the new electricity reform[J]. Electrical Engineering, 2017, 18(10): 5-12. [3] 刘满君, 程林, 黄道姗, 等. 基于运行可靠性理论的高可靠性供电路径搜索方法[J]. 电工技术学报, 2019, 34(14): 3004-3011. Liu Manjun, Cheng Lin, Huang Daoshan, et al.The high reliability supply path searching method based on the operational reliability theory[J]. Transactions of China Electrotechnical Society, 2019, 34(14): 3004-3011. [4] 麻秀范, 冯晓瑜. 考虑5G网络用电需求及可靠性的变电站双Q规划法[J].电工技术学报, 2023, 38(11): 2962-2976. Ma Xiufan, Feng Xiaoyu.Double Q planning method for substation considering power demand of 5G network and reliability[J]. Transactions of China Electrotechnical Society, 2023, 38(11): 2962-2976. [5] 王毅, 张宁, 康重庆, 等. 电力用户行为模型: 基本概念与研究框架[J]. 电工技术学报, 2019, 34(10): 2056-2068. Wang Yi, Zhang Ning, Kang Chongqing, et al.Electrical consumer behavior model: basic concept and research framework[J]. Transactions of China Electrotechnical Society, 2019, 34(10): 2056-2068. [6] 刘文霞, 富梦迪, 李涵深, 等. 计及信息失效的柔性配电系统集中-分散协调控制策略优化[J]. 电工技术学报, 2021, 36(22): 4749-4759. Liu Wenxia, Fu Mengdi, Li Hanshen, et al.Centralized-decentralized control strategies optimization for flexible distribution network considering cyber failures[J]. Transactions of China Electrotechnical Society, 2021, 36(22): 4749-4759. [7] 陈锐智, 李析鸿, 陈艳波. 适应不同网络架构的配电终端与开关选型选址模型[J]. 电力系统自动化, 2022, 46(11): 151-160. Chen Ruizhi, Li Xihong, Chen Yanbo.Type and site selection model of distribution terminals and switches adaptive to different network architectures[J]. Automation of Electric Power Systems, 2022, 46(11): 151-160. [8] 李博通, 刘涛, 杨昕陆, 等. 故障自清除型直流配电网新型双极短路故障元件识别方法[J]. 电工技术学报, 2022, 37(17): 4423-4434. Li Botong, Liu Tao, Yang Xinlu, et al.New fault element identification method of bipolar short-circuit fault in DC distribution network with fault self-clearing[J]. Transactions of China Electrotechnical Society, 2022, 37(17): 4423-4434. [9] 马钰, 韦钢, 李扬, 等. 考虑孤岛源-荷不确定性的直流配电网可靠性评估[J]. 电工技术学报, 2021, 36(22): 4726-4738. Ma Yu, Wei Gang, Li Yang, et al.Reliability evaluation of DC distribution network considering islanding source-load uncertainty[J]. Transactions of China Electrotechnical Society, 2021, 36(22): 4726-4738. [10] 谢莹华, 王成山. 基于馈线分区的中压配电系统可靠性评估[J]. 中国电机工程学报, 2004, 24(5): 35-39. Xie Yinghua, Wang Chengshan.Reliability evaluation of medium voltage distribution system based on feeder partition method[J]. Proceedings of the CSEE, 2004, 24(5): 35-39. [11] 李卫星, 李志民, 刘迎春. 复杂辐射状配电系统的可靠性评估[J]. 中国电机工程学报, 2003, 23(3): 69-73, 79. Li Weixing, Li Zhimin, Liu Yingchun.Evaluation of complex radial distribution system reliability[J]. Proceedings of the CSEE, 2003, 23(3): 69-73, 79. [12] 史燕琨, 王东, 孙辉, 等. 基于综合费用最低的配电网开关优化配置研究[J]. 中国电机工程学报, 2004, 24(9): 136-141. Shi Yankun, Wang Dong, Sun Hui, et al.Feeder-switches optimal location scheme for comprehensive cost minimization in distribution system[J]. Proceedings of the CSEE, 2004, 24(9): 136-141. [13] 王峻峰, 谢开贵, 周家启. 配电网开关优化配置的改进遗传算法[J]. 电网技术, 2005, 29(19): 57-62. Wang Junfeng, Xie Kaigui, Zhou Jiaqi.Improved genetic algorithm for optimal breaking device configuration in medium voltage distribution networks[J]. Power System Technology, 2005, 29(19): 57-62. [14] 王艳松, 陈国明, 张加胜, 等. 基于小生境遗传算法的配电网开关优化配置[J]. 电工技术学报, 2006, 21(5): 82-86. Wang Yansong, Chen Guoming, Zhang Jiasheng, et al.Optimal switching device placement based on niche genetic algorithm in distribution networks[J]. Transactions of China Electrotechnical Society, 2006, 21(5): 82-86. [15] Moradi A, Fotuhi-Firuzabad M.Optimal switch placement in distribution systems using trinary particle swarm optimization algorithm[J]. IEEE Transactions on Power Delivery, 2008, 23(1): 271-279. [16] de Assis L S, González J F V, Usberti F L, et al. Switch allocation problems in power distribution systems[J]. IEEE Transactions on Power Systems, 2015, 30(1): 246-253. [17] 陈鹏伟, 陶顺, 肖湘宁, 等. 有源配电网供电域与开关优化选址区间模型[J]. 中国电机工程学报, 2018, 38(1): 97-108, 346. Chen Pengwei, Tao Shun, Xiao Xiangning, et al.Supply domain and interval model for switching devices optimal location in active distribution network[J]. Proceedings of the CSEE, 2018, 38(1): 97-108, 346. [18] Silver E A.An overview of heuristic solution methods[J]. Journal of the Operational Research Society, 2004, 55(9): 936-956. [19] Zhang Tianyu, Wang Chengshan, Luo Fengzhang, et al.Optimal design of the sectional switch and tie line for the distribution network based on the fault incidence matrix[J]. IEEE Transactions on Power Systems, 2019, 34(6): 4869-4879. [20] Abiri-Jahromi A, Fotuhi-Firuzabad M, Parvania M, et al.Optimized sectionalizing switch placement strategy in distribution systems[J]. IEEE Transactions on Power Delivery, 2012, 27(1): 362-370. [21] Lei Shunbo, Wang Jianhui, Hou Yunhe.Remote-controlled switch allocation enabling prompt restoration of distribution systems[J]. IEEE Transactions on Power Systems, 2018, 33(3): 3129-3142. [22] Izadi M, Safdarian A.A MIP model for risk constrained switch placement in distribution networks[J]. IEEE Transactions on Smart Grid, 2019, 10(4): 4543-4553. [23] Farajollahi M, Fotuhi-Firuzabad M, Safdarian A.Optimal placement of sectionalizing switch considering switch malfunction probability[J]. IEEE Transactions on Smart Grid, 2019, 10(1): 403-413. [24] Farajollahi M, Fotuhi-Firuzabad M, Safdarian A.Sectionalizing switch placement in distribution networks considering switch failure[J]. IEEE Transactions on Smart Grid, 2019, 10(1): 1080-1082. [25] Farajollahi M, Fotuhi-Firuzabad M, Safdarian A.Simultaneous placement of fault indicator and sectionalizing switch in distribution networks[J]. IEEE Transactions on Smart Grid, 2019, 10(2): 2278-2287. [26] 孙磊, 杨贺钧, 丁明. 配电系统开关优化配置的混合整数线性规划模型[J]. 电力系统自动化, 2018, 42(16): 87-95. Sun Lei, Yang Hejun, Ding Ming.Mixed integer linear programming model of optimal placement for switching devices in distribution system[J]. Automation of Electric Power Systems, 2018, 42(16): 87-95. [27] Li Zihao, Wu Wenchuan, Tai Xue, et al.Optimization model-based reliability assessment for distribution networks considering detailed placement of circuit breakers and switches[J]. IEEE Transactions on Power Systems, 2020, 35(5): 3991-4004. [28] Jooshaki M, Karimi-Arpanahi S, Lehtonen M, et al.An MILP model for optimal placement of sectionalizing switches and Tie lines in distribution networks with complex topologies[J]. IEEE Transactions on Smart Grid, 2021, 12(6): 4740-4751. [29] Wang Chongyu, Pang Kaiyuan, Shahidehpour M, et al.Flexible joint planning of sectionalizing switches and tie lines among distribution feeders[J]. IEEE Transactions on Power Systems, 2022, 37(2): 1577-1590. [30] Wang Y. Complementary information on system parameters[Z/OL]. figshare. Dataset. https://doi.org/10.6084/m9.figshare.19613010v5.
2023, Vol. 38 
