Optimal Capacitor Reactive Power Compensation Method Based on Slack Region Model
Luo Qingyue 1,Liu Baiyang 1,Sun Liuqing 2,Xiao Xiangchun3,Luo Ting1
1.Shaoyang College Shaoyang 422000 China 2.State Grid Shaoyang Power Supply Branch Company Shaoyang 422000 China 3.Huaihua Design Institute of Water Conservancy and Electric Power Huaihua 418000 China
Abstract：Optimal capacitor capacity and location is an combinatorial optimization problem.This paper proposes the slack region model and combines it with the particle swarm optimization to realize the slack region particle swarm optimization (SRPSO) algorithm.This new algorithm utilizes the slack region model to adjust the search velocity and search range in order to update particles’ positions within the slack region so that the particle swarm can move toward the optimal position.The proposed method has been applied to IEEE14 and IEEE30 bus test system.Comparing to the results gained by the binary particle swarm optimization (BPSO) algorithm,the suggested one shows faster convergence rate and better results.The simulation results show the feasibility and effectiveness of the SRPSO for the capacitor capacity and location problem.
罗庆跃,刘白杨,孙柳青,肖相纯,罗 婷. 基于松弛域模型的电容器无功补偿优化配置[J]. 电工技术学报, 2015, 30(17): 79-84.
Luo Qingyue,Liu Baiyang,Sun Liuqing,Xiao Xiangchun,Luo Ting. Optimal Capacitor Reactive Power Compensation Method Based on Slack Region Model. Transactions of China Electrotechnical Society, 2015, 30(17): 79-84.
[1] 李志刚,吴文传,张伯明,等.一种基于高斯罚函数的大规模无功优化离散变量处理方法[J].中国电机工程学报,2013,33(4):68-76. Li Zhigang,Wu Wenchuan,Zhang Boming,et al.A large-scale reactive power optimization method based on gaussian penalty function with discrete control variables[J].Proceedings of the CSEE,2013,33(4):68-76. [2] Benson H Y.Mixed integer nonlinear programming using interior-point methods[J].Optimization Methods & Software,2011,26(6):911-931. [3] Hooshmand R A,Soltani S.Fuzzy optimal phase balancing of radial and meshed distribution networks using BF-PSO algorithm[J].IEEE Transactions on Power Systems,2012,27(1):47-57. [4] 李鸿鑫,李银红,陈金富,等.自适应选择进化算法的多目标无功优化方法[J].中国电机工程学报,2013,33(10):71-78. Li Hongxin,Li Yinhong,Chen Jinfu,et al.Multiple evolutionary algorithms with adaptive selection strategies for multi-objective optimal reactive power flow[J].Proceedings of the CSEE,2013,33(10):71-78. [5] 李智,杨洪耕.一种用于分解协调无功优化的全分邻近中心算法[J].中国电机工程学报,2013,33(1):77-83. Li Zhi,Yang Honggeng.A full decomposition proximal center algorithm for decomposition and coordination of reactive power optimization[J].Proceedings of the CSEE,2013,33(1):77-83. [6] 林济铿,石伟钊,武乃虎,等.计及离散变量基于互补约束全光滑牛顿法的无功优化[J].中国电机工程学报,2012,32(1):93-100. Lin Jikeng,Shi Weizhao,Wu Naihu,et al.Reactive power optimization with discrete variables based on complementarity constraints smooth Newton method[J].Proceedings of the CSEE,2012,32(1):93-100. [7] 崔挺,孙元章,徐箭,等.基于改进小生境遗传算法的电力系统无功优化[J].中国电机工程学报,2011,31(19):43-50. Cui Ting,Sun Yuanzhang,Xu Jian,et al.Reactive power optimization of power system based on improved niche genetic algorithm[J].Proceedings of the CSEE,2011,31(19):43-50. [8] 段献忠,李智欢,李银红.采用多局部搜索策略的无功优化多模因算法[J].中国电机工程学报,2008,28(34):59-65. Duan Xianzhong,Li Zhihuan,Li Yinhong.Multimeme memetic algorithm based on multiple local search strategies for reactive power optimization[J].Proceedings of the CSEE,2008,28(34):59-65. [9] 李智欢,段献忠.多目标进化算法求解无功优化问题的对比分析[J].中国电机工程学报,2010,30(10):57-65. Li Zhihuan,Duan Xianzhong.Comparison and analysis of multiobjective evolutionary algorithm for reactive power optimization[J].Proceedings of the CSEE,2010,30(10):57-65. [10]李智欢,李银红,段献忠.无功优化协同进化计算的控制变量分区方法研究[J].中国电机工程学报,2009,29(16):28-34. Li Zhihuan,Li Yinhong,Duan Xianzhong.A novel partition approach of control variables in cooperative coevolutionary computation for reactive power optimization[J].Proceedings of the CSEE,2009,29(16):28-34. [11]刘宝英,杨仁刚.采用辅助问题原理的多分区并行无功优化算法[J].中国电机工程学报,2009,29(7):47-51. Liu Baoying,Yang Rengang.Multi-subarea parallel reactive power optimization based on APP[J].Proceedings of the CSEE,2009,29(7):47-51. [12]王卫平,王主丁,张昀,等.含分布式电源的配网无功优化算法[J].电力系统及其自动化学报,2013,25(6):93-100. Wang Weiping,Wang Zhuding,Zhang Yun,et al.Hybrid algorithm for reactive power optimization in distribution networks with distributed generations[J].Proceedings of the CSU-EPSA,2013,25(6):93-100. [13]李鸿鑫,李银红,李智欢.多目标进化算法求解无功优化问题的比较与评估[J].电网技术,2013,37(6):1651-1658. Li Hongxin,Li Yinhong,Li Zhihuan.Comparison and evaluation on multi-objective evolutionary algorithm for optimal reactive power flow[J].Power System Technology,2013,37(6):1651-1658. [14]张丽,徐玉琴,王增平,等.包含分布式电源的配电网无功优化[J].电工技术学报,2011,26(3):168-174. Zhang Li,Xu Yuqin,Wang Zengping,et al.Reactive power optimization for distribution system with distributed generators[J].Transactions of China Electrotechnical Society,2011,26(3):168-174. [15]康忠健,訾淑伟.基于差分进化算法的油田区域配电网无功优化技术的研究[J].电工技术学报,2013,28(6):226-231. Kang Zhongjian,Zi Shuwei.Research on the reactive power optimization of oil-field regional distribution network based on differential evolution[J].Transactions of China Electrotechnical Society,2013,28(6):226-231. [16]李鑫滨,朱庆军.一种改进粒子群优化算法在多目标无功优化中的应用[J].电工技术学报,2010,25(7):137-143. Li Xinbin,Zhu Qingjun.Application of improved particle swarm optimization algorithm to multi-objective reactive power optimization[J].Transactions of China Electrotechnical Society,2010,25(7):137-143. [17]张聪誉,陈民铀,罗辞勇,等.基于多目标粒子群算法的电力系统无功优化[J].电力系统保护与控制,2010,38(20):153-158. Zhang Congyu,Chen Minyou,Luo Ciyong,et al.Power system reactive power optimization based on multi-objective particle swarm algorithm[J].Power System Protection and Control,2010,38(20):153-158. [18]赵昆,耿光飞.基于改进遗传算法的配电网无功优化[J].电力系统保护与控制,2011,39(5):57-62,68. Zhao Kun,Geng Guangfei.Reactive power optimization of distribution network based on improved genetic algorithm[J].Power System Protection and Control,2011,39(5):57-62,68. [19]宋永超,张勇军,蔡泽祥,等.一种电力系统无功优化的新型混合优化算法[J].电力系统保护与控制,2011,39(24):16-21. Song Yongchao,Zhang Yongjun,Cai Zexiang,et al.A novel hybrid algorithm for reactive-power optimization of power system[J].Power System Protection and Control,2011,39(24):16-21. [20]Marinakis Y,Marinaki M,Dounias G.A hybrid particle swarm optimization algorithm for the vehicle routing problem[J].Engineering Applications of Artificial Intelligence,2010,23(4):463-472. [21]El-Abd M,Hassan H,Anis M,et al.Discrete cooperative particle swarm optimization for FPGA placement[J].Applied Soft Computing,2010,10(1):284-295. [22]刘建华,杨荣华,孙水华.离散二进制粒子群算法分析[J].南京大学学报(自然科学),2011,47(5):504-514. Liu Jianhua,Yang Ronghua,Sun Shuihua.The analysis of binary particle swarm optimization[J].Journal of Nanjing University (Natural Sciences),2011,47(5):504-514. [23]李鹏,李涛,张双乐,等.基于混沌二进制粒子群算法的独立微网系统的微电源组合优化[J].电力自动化设备,2013,33(12):33-38. Li Peng,Li Tao,Zhang Shuangle,et al.Combinatorial optimization of micro-sources in standalone microgrid based on chaotic binary particle swarm optimization algorithm[J].Electric Power Automation Equipment,2013,33(12):33-38. [24]Tamer M,Khalil H K M,Youssef M M,et al.Optimal capacitor placement on radial distribution feeders in presence of nonlinear loads using binary particle swarm optimization[C].19th International Conference on Electricity Distribution,vienna,2007:21-24. [25]郑权,张连生.罚函数与带不等式约束的总极值问题[J].计算数学,1980 (2):146-153. Zheng Quan,Zhang Liansheng.Penalty functions and global optimization problems with inequality constraints[J].Mathematica Numerica Sinica,1980(2):146-153. [26]张耀军.SUMT罚函数法中初罚因子γ～(0)选取方法的探讨[J].阜新矿业学院学报,1985,4(3):84-90. Zhang Yaojun.The study about choosing γ～(0) in the SUMT penalized optimization[J].Journal of FUXIN mining institute,1985,4(3):84-90. [27]曾云宝,景旭,孙晓波.罚函数乘子的初值选取和多步长问题[J].哈尔滨理工大学学报,2003,8(1):20-22. Zeng Yunbao,Jing Xu,Sun Xiaobo.The problem of selection of initial value and multi-step of the method of penalty function multiplier[J].Journal of Harbin University of Science and Technology,2003,8(1):20-22.
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