
1. 贵州大学电气工程学院
2. 贵州电网有限责任公司电力科学研究院
Published:2026
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曹翔瑞,袁旭峰,冯起辉,徐玉韬,熊 炜.基于PSO-NR双层协同优化的柔性互联配电网最优网损研究[J].电力大数据,2026,29(07):5-6.
CAO Xiangrui, YUAN Xufeng, FENG Qihui, et al. Research on Optimal Network Loss of Flexible Interconnected Distribution Network Based on PSO NR Bi level Collaborative Optimization[J]. 2026, 29(7): 5--.
针对柔性互联配电网传统优化策略忽略智能软开关(Soft Open Point,SOP)内部非线性损耗,易造成线路侧降损与设备侧增损并存的“虚假降损”问题,本文提出一种基于全要素损耗反馈的PSO-NR(Particle Swarm Optimization-Newton-Raphson,PSO-NR)双层协同网损优化方法。首先,构建计及线路阻抗损耗、SOP运行损耗及配电变压器动态损耗的全要素能效模型;其次,建立上层策略寻优与下层潮流评估相结合的双层求解框架,将设备运行损耗反馈至适应度函数,实现优化策略与物理潮流状态的协同校验;最后,基于IEEE 33节点系统设置不同SOP建模和拓扑场景进行验证。仿真结果表明,所提方法能够有效抑制传统理想SOP模型下的过度功率转移,降低设备隐性损耗,并改善系统总损耗与节点电压分布。研究表明,计及设备损耗的精细化建模有助于提升柔性互联配电网真实能效评估与优化控制的合理性。
Aiming at the “false loss reduction” problem caused by neglecting the internal nonlinear losses of Soft Open Point (SOP) in traditional optimization strategies for flexible interconnected distribution networks
this paper proposes a PSO-NR (Particle Swarm Optimization-Newton-Raphson) bi-level collaborative network loss optimization method based on all-element loss feedback. First
an all-element energy efficiency model is established by considering line impedance loss
SOP operating loss
and dynamic distribution transformer loss. Second
a bi-level solution framework combining upper-level strategy optimization and lower-level power flow evaluation is developed. In this framework
equipment operating losses are fed back to the fitness function
thereby realizing the collaborative verification between optimization strategy and physical power flow state. Finally
different SOP modeling and topology scenarios are tested based on the IEEE 33-bus system. Simulation results show that the proposed method can effectively suppress excessive power transfer under the traditional ideal SOP model
reduce hidden equipment losses
and improve the total system loss and node voltage distribution. The results indicate that refined modeling considering equipment losses is beneficial for improving the rationality of real energy efficiency evaluation and optimal control in flexible interconnected distribution networks.
尤毅, 刘东, 于文鹏, 等. 主动配电网技术及其进展[J]. 电力系统自动化, 2012, 36(18): 10-16.
范明天, 张祖平, 苏傲雪, 等. 主动配电系统可行技术的研究[J]. 中国电机工程学报, 2013, 33(22): 12-18.
王成山, 宋关羽, 李鹏, 等. 基于智能软开关的智能配电网柔性互联技术及展望[J]. 电力系统自动化, 2016, 40(22): 168-175.
Cao W, Wu J, Jenkins N, et al. Operating principle of soft open points for electrical distribution network operation[J]. Applied Energy, 2016, 164: 245-257.
贾冠龙, 陈敏, 赵斌, 等. 柔性多状态开关在智能配电网中的应用[J]. 电工技术学报, 2019, 34(8): 1760-1768.
Jiang X, Zhou Y, Ming W, et al. An overview of soft open points in electricity distribution networks[J]. IEEE Transactions on Smart Grid, 2022, 13(3): 1899-1910.
王成山, 宋关羽, 李鹏, 等. 一种联络开关和智能软开关并存的配电网运行时序优化方法[J]. 中国电机工程学报, 2016, 36(9): 2315-2321.
Cao W, Wu J, Jenkins N, et al. Benefits analysis of soft open points for electrical distribution network operation[J]. Applied Energy, 2016, 165: 36-47.
初壮, 孙旭, 赵蕾, 孙健浩. 含SOP的交直流混合配电网日前优化调度[J]. 电力系统及其自动化学报, 2024, 36(1): 10-16.
赵金利, 李雨薇, 李鹏, 等. 基于二阶锥规划的有源配电网SNOP电压无功时序控制方法[J]. 高电压技术, 2016, 42(7): 2134-2141.
Ji H, Wang C, Li P, et al. An enhanced SOCP-based method for feeder load balancing using the multi-terminal soft open point in active distribution networks[J]. Applied Energy, 2017, 208: 986-995.
熊正勇, 陈天华, 杜磊, 等. 基于改进灵敏度分析的有源配电网智能软开关优化配置[J]. 电力系统自动化, 2021, 45(8): 129-137.
Wang C, Song G, Li P, et al. Optimal siting and sizing of soft open points in active electrical distribution networks[J]. Applied Energy, 2017, 189: 301-309.
Qi Q, Wu J, Long C. Multi-objective operation optimization of an electrical distribution network with soft open point[J]. Applied Energy, 2017, 208: 734-744.
丛鹏伟, 唐巍, 娄铖伟, 等. 含高渗透率可再生能源的主动配电网两阶段柔性软开关与联络开关协调优化控制[J]. 电工技术学报, 2019, 34(6): 1263-1272.
胡若男, 王玮, 吴学智, 等. 含智能软开关的主动配电网3阶段鲁棒电压控制方法[J]. 高电压技术, 2020, 46(11): 3752-3763.
高聪哲, 黄文焘, 余墨多, 等. 基于智能软开关的主动配电网电压模型预测控制优化方法[J]. 电工技术学报, 2022, 37(13): 3263-3274.
Wang S, Liu Q, Ji X. A fast sensitivity method for determining line loss and node voltages in active distribution network[J]. IEEE Transactions on Power Systems, 2018, 33(1): 1148-1150.
Li P, Ji H, Wang C, et al. Coordinated control method of voltage and reactive power for active distribution networks based on soft open point[J]. IEEE Transactions on Sustainable Energy, 2017, 8(4): 1430-1442.
Li P, Ji H, Yu H, et al. Combined decentralized and local voltage control strategy of soft open points in active distribution networks[J]. Applied Energy, 2019, 241: 613-624.
Bai L, Jiang T, Li F, et al. Distributed energy storage planning in soft open point based active distribution networks incorporating network reconfiguration and DG reactive power capability[J]. Applied Energy, 2018, 210: 1082-1091.
Kennedy J, Eberhart R C. Particle swarm optimization[C]// Proceedings of ICNN''95 - International Conference on Neural Networks. Perth, Australia, 1995, 4: 1942-1948.
Tinney W F, Hart C E. Power flow solution by Newton''s method[J]. IEEE Transactions on Power Apparatus and Systems, 1967, PAS-86(11): 1449-1460.
Baran M E, Wu F F. Network reconfiguration in distribution systems for loss reduction and load balancing[J]. IEEE Transactions on Power Delivery, 1989, 4(2): 1401-1407.
张建华, 曾博, 张玉莹, 等. 主动配电网规划关键问题与研究展望[J]. 电工技术学报, 2014, 29(2): 13-23.
尤毅, 刘东, 于文鹏, 等. 主动配电网技术及其进展[J]. 电力系统自动化, 2012, 36(18): 10-16.
范明天, 张祖平, 苏傲雪, 等. 主动配电系统可行技术的研究[J]. 中国电机工程学报, 2013, 33(22): 12-18.
王成山, 宋关羽, 李鹏, 等. 基于智能软开关的智能配电网柔性互联技术及展望[J]. 电力系统自动化, 2016, 40(22): 168-175.
Cao W, Wu J, Jenkins N, et al. Operating principle of soft open points for electrical distribution network operation[J]. Applied Energy, 2016, 164: 245-257.
贾冠龙, 陈敏, 赵斌, 等. 柔性多状态开关在智能配电网中的应用[J]. 电工技术学报, 2019, 34(8): 1760-1768.
Jiang X, Zhou Y, Ming W, et al. An overview of soft open points in electricity distribution networks[J]. IEEE Transactions on Smart Grid, 2022, 13(3): 1899-1910.
王成山, 宋关羽, 李鹏, 等. 一种联络开关和智能软开关并存的配电网运行时序优化方法[J]. 中国电机工程学报, 2016, 36(9): 2315-2321.
Cao W, Wu J, Jenkins N, et al. Benefits analysis of soft open points for electrical distribution network operation[J]. Applied Energy, 2016, 165: 36-47.
初壮, 孙旭, 赵蕾, 孙健浩. 含SOP的交直流混合配电网日前优化调度[J]. 电力系统及其自动化学报, 2024, 36(1): 10-16.
赵金利, 李雨薇, 李鹏, 等. 基于二阶锥规划的有源配电网SNOP电压无功时序控制方法[J]. 高电压技术, 2016, 42(7): 2134-2141.
Ji H, Wang C, Li P, et al. An enhanced SOCP-based method for feeder load balancing using the multi-terminal soft open point in active distribution networks[J]. Applied Energy, 2017, 208: 986-995.
熊正勇, 陈天华, 杜磊, 等. 基于改进灵敏度分析的有源配电网智能软开关优化配置[J]. 电力系统自动化, 2021, 45(8): 129-137.
Wang C, Song G, Li P, et al. Optimal siting and sizing of soft open points in active electrical distribution networks[J]. Applied Energy, 2017, 189: 301-309.
Qi Q, Wu J, Long C. Multi-objective operation optimization of an electrical distribution network with soft open point[J]. Applied Energy, 2017, 208: 734-744.
丛鹏伟, 唐巍, 娄铖伟, 等. 含高渗透率可再生能源的主动配电网两阶段柔性软开关与联络开关协调优化控制[J]. 电工技术学报, 2019, 34(6): 1263-1272.
胡若男, 王玮, 吴学智, 等. 含智能软开关的主动配电网3阶段鲁棒电压控制方法[J]. 高电压技术, 2020, 46(11): 3752-3763.
高聪哲, 黄文焘, 余墨多, 等. 基于智能软开关的主动配电网电压模型预测控制优化方法[J]. 电工技术学报, 2022, 37(13): 3263-3274.
Wang S, Liu Q, Ji X. A fast sensitivity method for determining line loss and node voltages in active distribution network[J]. IEEE Transactions on Power Systems, 2018, 33(1): 1148-1150.
Li P, Ji H, Wang C, et al. Coordinated control method of voltage and reactive power for active distribution networks based on soft open point[J]. IEEE Transactions on Sustainable Energy, 2017, 8(4): 1430-1442.
Li P, Ji H, Yu H, et al. Combined decentralized and local voltage control strategy of soft open points in active distribution networks[J]. Applied Energy, 2019, 241: 613-624.
Bai L, Jiang T, Li F, et al. Distributed energy storage planning in soft open point based active distribution networks incorporating network reconfiguration and DG reactive power capability[J]. Applied Energy, 2018, 210: 1082-1091.
Kennedy J, Eberhart R C. Particle swarm optimization[C]// Proceedings of ICNN''95 - International Conference on Neural Networks. Perth, Australia, 1995, 4: 1942-1948.
Tinney W F, Hart C E. Power flow solution by Newton''s method[J]. IEEE Transactions on Power Apparatus and Systems, 1967, PAS-86(11): 1449-1460.
Baran M E, Wu F F. Network reconfiguration in distribution systems for loss reduction and load balancing[J]. IEEE Transactions on Power Delivery, 1989, 4(2): 1401-1407.
张建华, 曾博, 张玉莹, 等. 主动配电网规划关键问题与研究展望[J]. 电工技术学报, 2014, 29(2): 13-23.
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