Optimization of Transmission Network Structure Based on Explicit Linear Modeling of Short Circuit Current Constraints
Li Shaoyan1, Ren Yipei1, Gu Xueping1, Cao Xin2, Yang Xiaodong2
1. School of Electrical & Electronic Engineering North China Electric Power University Baoding 071003 China; 2. Hebei Power Dispatch and Communication Center Shijiazhuang 050021 China
Abstract：With the expansion of power grid, the problem of short-circuit current (SCC) in power system has become more and more serious in recent years. Compared with other methods of limiting SCC, transmission switching is more flexible and economical. Based on the physical meaning of node self-impedance, a new idea is proposed to represent the explicit linear relationship between line switching states and SCC constraints by constructing an “adjoint network” in this paper. The “adjoint network” has a similar topology with the original power grid, but the parameters are different. Further, an explicit linear modeling method of SCC constraints is proposed, and a mixed integer linear programming (MILP) model for transmission topology optimization is established. Both of the N-1 security constraints and the SCC constraints are considered in the established MILP model. In view of the difficulty of solving large-scale system problems, a variety of constraint set reduction strategies and methods are also studied, which can effectively reduce the scale of decision space and improve the computational efficiency of the model. Finally, the modified IEEE 30-bus system and IEEE 118-bus system are taken as examples to verify the effectiveness of the proposed model and method.
李少岩, 任乙沛, 顾雪平, 曹欣, 杨晓东. 基于短路电流约束显式线性建模的输电网结构优化[J]. 电工技术学报, 2020, 35(15): 3292-3302.
Li Shaoyan, Ren Yipei, Gu Xueping, Cao Xin, Yang Xiaodong. Optimization of Transmission Network Structure Based on Explicit Linear Modeling of Short Circuit Current Constraints. Transactions of China Electrotechnical Society, 2020, 35(15): 3292-3302.
[1] 陈庆国, 诸葛祥丽, 刘贺千, 等. 采用纳米改性纸板的换流变压器出线装置电场分布[J]. 电机与控制学报, 2016, 20(1): 29-34. Chen Qingguo, Zhuge Xiangli, Liu Heqian, et al.Electric field distribution of converter transformer barrier system using nano modified pressboard[J]. Electric Machines and Control, 2016, 20(1): 29-34. [2] 刘凯, 陈红坤, 林军, 等. 故障限流器在电力系统中应用研究现状[J]. 电力系统保护与控制, 2010, 38(7): 147-151. Liu Kai, Chen Hongkun, Lin Jun, et al.Study situation of applications of fault current limiter in power system[J]. Power System Protection and Control, 2010, 38(7): 147-151. [3] 艾琳, 冯艳虹, 陈为化, 等. 特高压接入京津冀北500kV电网短路电流问题及限流措施研究[J]. 电力系统保护与控制, 2017, 45(9): 133-137. Ai Lin, Feng Yanhong, Chen Weihua, et al.Research on short-circuit current problem and limiting measures caused by UHV substation connecting to 500 kV network in Beijing-Tianjin area and Northern Hebei[J]. Power System Protection and Control, 2017, 45(9): 133-137. [4] 兰生, 胡忠平, 廖福旺, 等. 短路电动力对变压器低压绕组辐向稳定性的研究[J]. 电机与控制学报, 2018, 22(5): 19-24. Lan Sheng, Hu Zhongping, Liao Fuwang, et al.Radial stability of transformer low voltage windings under sudden short-circuit[J]. Electric Machines and Control, 2018, 22(5): 19-24. [5] 张立晖, 石晶, 严思念, 等. 磁通约束型超导限流开关系统应用[J]. 电工技术学报, 2018, 33(22): 5292-5299. Zhang Lihui, Shi Jing, Yan Sinian, et al.System application of flux-coupling superconducting fault current limiting switch[J]. Transactions of China Electrotechnical Society, 2018, 33(22): 5292-5299. [6] 刘海波, 王浩, 刘树枫, 等. 节能型故障限流器的应用研究[J]. 电气技术, 2018, 19(7): 33-38. Liu Haibo, Wang Hao, Liu Shufeng, et al.Application research of an energy saving fault current limiter[J]. Electrical Engineering, 2018, 19(7): 33-38. [7] 韩戈, 韩柳, 吴琳. 各种限制电网短路电流措施的应用与发展[J]. 电力系统保护与控制, 2010, 38(1): 141-144. Han Ge, Han Liu, Wu Lin.Application and development of methods on limiting power grid’s short-circuit current[J]. Power System Protection and Control, 2010, 38(1): 141-144. [8] 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. [9] 贾雨龙, 米增强, 余洋, 等. 计及不确定性的柔性负荷聚合商随机-鲁棒投标决策模型[J]. 电工技术学报, 2019, 34(19): 4096-4107. Jia Yulong, Mi Zengqiang, Yu Yang, et al.Stochastic-robust decision-making model for flexible load aggregator considering uncertainties[J]. Transactions of China Electrotechnical Society, 2019, 34(19): 4096-4107. [10] 杨知方, 钟海旺, 夏清, 等. 输电网结构优化问题研究综述和展望[J]. 中国电机工程学报, 2016, 36(2): 426-434. Yang Zhifang, Zhong Haiwang, Xia Qing, et al.Review and prospect of transmission topology optimization[J]. Proceedings of the CSEE, 2016, 36(2): 426-434. [11] Mazi A, Wollenberg B, Hesse M.Corrective control of power system flows by line and bus-bar switching[J]. IEEE Transactions on Power Systems, 1986, 1(3): 258-264. [12] Shao W, Vittal V.Corrective switching algorithm for relieving overloads and voltage violations[J]. IEEE Transactions on Power Systems, 2005, 20(4): 1877-1885. [13] Bacher R, Glavitsch H.Loss reduction by network switching[J]. IEEE Transactions on Power Systems, 1988, 3(2): 447-454. [14] Fisher E B, O'neill R P, Ferris M C. Optimal transmission switching[J]. IEEE Transactions on Power Systems, 2008, 23(3): 1346-1355. [15] Khodaei A, Shahidehpour M.Transmission switching in security-constrained unit commitment[J]. IEEE Transactions on Power Systems, 2010, 25(4): 1937-4195. [16] Ostrowski J, Wang J, Liu C.Transmission switching with connectivity-ensuring constraints[J]. IEEE Transactions on Power Systems, 2014, 29(6): 2621-2627. [17] 张永康, 蔡泽祥, 李爱民, 等. 限制500kV电网短路电流的网架调整优化算法[J]. 电力系统自动化, 2009, 33(22): 34-39. Zhang Yongkang, Cai Zexiang, Li Aimin, et al.An optimization algorithm for short-circuit current limitation of 500 kV power grid by adjusting power grid configuration[J]. Automation of Electric Power Systems, 2009, 33(22): 34-39. [18] 黄根, 罗滇生, 李帅虎, 等. 基于综合灵敏度分析限流的最优断线措施[J]. 电网技术, 2016, 40(1): 309-315. Huang Gen, Luo Diansheng, Li Shuaihu, et al.Optimal line-outage measure based on comprehensive sensitivity analysis to limit short-circuit current[J]. Power System Technology, 2016, 40(1): 309-315. [19] 应林志, 刘天琪, 王建全, 等. 基于改进蚁群优化限制短路电流的网架调整措施[J]. 电力系统自动化, 2018, 42(1): 144-150. Ying Linzhi, Liu Tianqi, Wang Jianquan, et al.Adjustment for power grid configuration to limit short-circuit current based on improved ant colony optimization[J]. Automation of Electric Power Systems, 2018, 42(1): 144-150. [20] 田士君, 王秀丽, 齐世雄, 等. 计及短路电流限额的网架优化模型及启发式算法[J]. 西安交通大学学报, 2019, 53(9): 102-109. Tian Shijun, Wang Xiuli, Qi Shixiong, et al.Optimal transmission switching considering short circuit current limitation and heuristic algorithm[J]. Journal of Xi'an Jiaotong University, 2019, 53(9): 102-109. [21] Yang Zhifang, Zhong Haiwang, Xia Qing, et al.Optimal transmission switching with short-circuit current limitation constraints[J]. IEEE Transactions on Power Systems, 2016, 31(2): 1278-1288. [22] 覃岭, 林济铿, 戴赛, 等. 计及短路电流约束的机组组合问题[J]. 中国电机工程学报, 2016, 36(22): 6049-6058. Qin Ling, Lin Jikeng, Dai Sai, et al.Short circuit constrained unit commitment[J]. Proceedings of the CSEE, 2016, 36(22): 6049-6058. [23] 张伯明, 陈寿孙, 严正. 高等电力网络分析[M]. 北京: 清华大学出版社, 2007. [24] 杨超, 梁海平, 顾雪平, 等. 多直流馈入异步受端电网恢复的分区方法[J]. 电力系统自动化, 2019, 43(10): 162-175. Yang Chao, Liang Haiping, Gu Xueping, et al.Partition method for restoration of asynchronous receiving end power grid with multi-infeed HVDC[J]. Automation of Electric Power Systems, 2019, 43(10): 162-175. [25] 顾雪平, 周光奇, 李少岩. 计及系统可观测性的网络化简与黑启动分区方案制定[J]. 电力系统自动化, 2019, 43(20): 114-128. Gu Xueping, Zhou Guangqi, Li Shaoyan.Network simplification and formation of black-start zone partitioning scheme considering system observability[J]. Automation of Electric Power Systems, 2019, 43(20): 114-128. [26] 肖峻, 肖居承, 张黎元, 等. 配电网的严格与非严格安全边界[J]. 电工技术学报, 2019, 34(12): 2637-2648. Xiao Jun, Xiao Jucheng, Zhang Liyuan, et al.Strict and non-strict security boundary of distribution network[J]. Transactions of China Electrotechnical Society, 2019, 34(12): 2637-2648. [27] 顾雪平, 刘雨濛, 王涛, 等. 基于结构平衡理论的电网自组织临界态辨识[J]. 电工技术学报, 2018, 33(17): 4136-4145. Gu Xueping, Liu Yumeng, Wang Tao, et al.Self -organized critical state identification of power systems based on structural equilibrium theory[J]. Transactions of China Electrotechnical Society, 2018, 33(17): 4136-4145. [28] Liu C, Wang J, Ostrowski J.Heuristic prescreening switchable branches in optimal transmission switching[J]. IEEE Transactions on Power Systems, 2012, 27(4): 2289-2290. [29] 谭玉东, 李欣然, 蔡晔, 等. 基于电气距离的复杂电网关键节点识别[J]. 中国电机工程学报, 2014, 34(1): 146-152. Tan Yudong, Li Xinran, Cai Ye, et al.Critical node identification for complex power grid based on electrical distance[J]. Proceedings of the CSEE, 2014, 34(1): 146-152. [30] Blumsack S.Network topologies and transmission investment under electric-industry restructuring[D]. Pittsburgh, PA, USA: Carnegie Mellon University, 2006.
2020, Vol. 35 
