Abstract：A vector quantum-inspired evolutionary algorithm(QEA), excluding the overly complex genetic operations of conventional evolutionary algorithms, is proposed for solving multi-objective inverse problems. A fitness assignment formula considering both the number of improvements in the whole objective functions and the amount of the improvement in a specified objective function is proposed. Also, the information sharing and the increment angle updating components of the scalar QEA are redesigned in accordance with the features of multi-objective inverse problems. Numerical results on a case study are presented to show the feasibility and merit of the proposed vector QEA.
王宁, 杨仕友. 电磁场逆问题数值分析的多目标量子进化算法[J]. 电工技术学报, 2014, 29(5): 49-53.
Wang Ning, Yang Shiyou. A Vector Quantum-Inspired Evolutionary Algorithm Applied to Multi-Objective Inverse Problems. Transactions of China Electrotechnical Society, 2014, 29(5): 49-53.
[1] Ishida K. An application of multi-objective particle swarm optimization to reconstruction of a layered dielectric circular cylinder[C]. Proceedings of 2012 IEEE International Symposium on Antennas and Propagation, 2012: 415-418. [2] Ray S, Lowther D A. Multi-objective optimization applied to the matching of a specified torque-speed curve for an internal permanent magnet motor[J]. IEEE Transactions on Magnetics, 2009, 45(3): 1518-1521. [3] Carcangiu S, Fanni A, Montisci A. Multiobjective tabu search algorithms for optimal design of electromagnetic devices[J]. IEEE Transactions on Magnetics, 2008, 44(6): 970-973. [4] 范昭楠, 于歆杰. 基于过程集成的电磁轨道炮脉冲电源多目标优化[J]. 电工技术学报, 2010, 25(5): 20-24. Fan Zhaonan, Yu Xinjie. Process-integration based multi-objective optimization for pulsed power supply of electromagnetic guns[J]. Transactions of China Electrotechnical Society, 2010, 25(5): 20-24. [5] 范坚坚, 吴建华, 沈磊, 等. 极间隔断Halbach型磁钢的永磁同步电机多目标优化设计[J]. 电工技术学报, 2009, 24(9): 53-58. Fan Jianjian, Wu Jianhua, Shen Lei, et al. Multi- objective optimization of permanent magnet synchronous motor with partition between poles halbach magnet[J]. Transactions of China Electrotech- nical Society, 2009, 24(9): 53-58. [6] 王新刚, 艾芊, 徐伟华, 等. 含分布式发电的微电网能量管理多目标优化[J]. 电力系统保护与控制, 2009, 37(20): 79-83. Wang Xingang, Ai Qian, Xu Weihua, et al. Multi-objective optimal energy management of microgrid with distributed generation[J]. Power System Protection and Control, 2009, 37(20): 79-83. [7] 李啸虎, 李磊, 赵岩, 等. 考虑非计划停运及检修的发电权多目标优化交易[J]. 电力系统保护与控制, 2010, 38(13): 35-39. Li Xiaohu, Li Lei, Zhao Yan, et al. Multi-objective optimized trade of generation rights considering non-plan outage and repair[J]. Power System Protection and Control, 2010, 38(13): 35-39. [8] 马瑞, 康仁, 姜飞, 等. 考虑风电随机模糊不确定性的电力系统多目标优化调度计划研究[J]. 电力系统保护与控制, 2013, 41(1): 150-156. Ma Rui, Kang Ren, Jiang Fei, et al. Multi-objective dispatch planning of power system considering the stochastic and fuzzy wind power[J]. Power System Protection and Control, 2013, 41(1): 150-156. [9] 彭春华, 孙惠娟, 余廷芳. 考虑竞价风险的多目标优化发电研究[J]. 电工技术学报, 2012, 27(2): 210-216. Peng Chunhua, Sun Huijuan, Yu Tingfang. Multi- objective optimization of thermal power units output considering the bidding risk[J]. Transactions of China Electrotechnical Society, 2012, 27(2): 210-216. [10] Han K H, Kim J H. Quantum-inspired evolutionary algorithms with a new termination criterion, H ε gate, and two-phase scheme[J]. IEEE Transactions on Evolutionary Computation, 2004, 8(2): 156-168. [11] Adra S F, Fleming P J. Diversity management in evolutionary many-objective optimization[J]. IEEE Transactions on Evolutionary Computation, 2009, 13(2): 183-195. [12] Lozano J A, Zhang Q, Larranaga P. Guest editorial: special issue on evolutionary algorithm based on probabilistic models[J]. IEEE Transactions on Evolutionary Computation, 2009, 13(6): 1197-1198. [13] Platel M D, Schliebs S, Kasabov N. Quantum-inspired evolutionary algorithm: a multimodel EDA[J]. IEEE Transactions on Evolutionary Computation, 2009, 13(6): 1218-1232. [14] Rieffel E, Polak W. An introduction to quantum computing for non-physicists[J]. ACM Computing Surveys, 2000, 32: 300-335. [15] Zitzler E, Thiele L. Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach[J]. IEEE Transactions on Evolutionary Computation, 1999, 3(4): 257-271. [16] Talbi H, Draa A, Batouche M. A new quantum- inspired genetic algorithm for solving the traveling salesman problem[C]. IEEE International Conference on Industrial Technology, 2004: 1192-1197. [17] Ho S L, Yang Shiyou, Fu W N. A population-based incremental learning vector algorithm for multiob- jective optimal designs[J]. IEEE Transactions on Magnetics, 2011, 47(5): 1306-1309. [18] 杨仕友, 倪光正, 李岩, 等. 模拟退火算法的改进及其在电机电磁场逆问题数值计算中的应用[J]. 电工技术学报, 1998, 13(2): 21-23. Yang Shiyou, Ni Guangzheng, Li Yan, et al. Improved simulated annealing algorithm and its application in inverse problem of electromagnetic fields of electrical machines[J]. Transactions of China Electrotechnical Society, 1998, 13(2): 21-23.
2014, Vol. 29 
