配电网多目标优化重构模型及多目标烟花求解算法研究

Research on Multi-objective Optimization and Reconstruction Model of Distribution Network and Multi-objective Fireworks Solution Algorithm

  • 摘要: 针对配电网优化重构问题,以最小化有功网损、最小化电压偏移度以及最小化负荷平衡度作为目标函数建立配电网多目标优化重构模型。提出一种多策略混合的改进烟花算法(Improved fireworks algorithm,IMFWA)进行求解。算法采用不重复环路编码,压缩解空间,提高搜索效率;采用Sobol序列生成初始种群,增强种群的多样性和遍历性;利用优化烟花和随机烟花进行位移操作,保持种群多样性;采用高斯与柯西的混合变异方式,提高寻优效率;利用Pareto支配关系以及适应度与拥挤度函数组成的综合指标对最优解集进行排列选取,提高收敛速度。对IEEE-33节点系统进行仿真试验,验证了所提出的方法是有效和可行的,试验结果表明优化重构方案能够有效改善配电网的运行指标,并根据不同实际情况为电网人员提供重构方案。

     

    Abstract: Aiming at the optimization and reconstruction of the distribution network, a multi-objective optimization and reconstruction model of the distribution network is established with minimizing the active network loss, minimizing the voltage offset degree and minimizing the load balance degree as the objective functions. A multi-strategy hybrid improved fireworks algorithm(IMFWA) is proposed. The non-repetitive loop coding is adopted to compress the solution space and improve the search efficiency. Sobol sequence is used to generate initial population to enhance the diversity and traversal of population. The optimized fireworks and random fireworks for displacement operation are used to maintain population diversity. The mixed mutation method of Gauss and Cauchy are used to improve the efficiency of optimization. The optimal solution set is arranged and selected by using the Pareto dominance relation and the comprehensive index composed of the fitness and crowding functions to improve the convergence speed. Simulation experiments are carried out on the IEEE-33 node system. It is verified that the proposed method is effective and feasible. The experimental results show that the optimized reconfiguration scheme can effectively improve the operation index of the distribution network, and according to different actual situations to provide the power grid personnel with the reconstruction plan.

     

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