A mathematical model of reactive power in the distribution network optimal allocation is established, in which the least active power loss is taken as objective function and node voltage beyond limit and the generator reactive power output beyond limit as penalty function. Then the chaotic particle swarm optimization based on golden section (GCPSO) is designed to calculate the above model. This method divides the particle swarm into standard particle and chaos particle using the judge principles based on golden section according to the level of fitness. It solves the problems of easily falling into local optimum if using PSO and repeating searching part of the solution if using chaotic optimization. Using GCPSO can be more effective in searching the global optimal solution, and the speed of reactive power optimization can also be improved. The algorithm is thus more applicable to solving the problem. The simulation results show that the method is technically feasible and effective.This work is supported by National High-tech R&D Program of China (863 Program) (No. 2008AA04Z129) and National Natural Science Foundation of China (No. 60504010).%首先以有功损耗功率最小作为目标函数,将节点电压越限和发电机无功出力越限作为罚函数,建立无功补偿在配电网中优化配置的数学模型.然后设计基于黄金分割的混沌粒子群优化算法对上述模型进行求解.该算法通过黄金分割评判准则,按照适应度的高低,将粒子群分成标准粒子和混沌粒子两部分,同时解决了粒子群优化过程中容易陷入局部最优和混沌算法重复搜索部分解的问题,从而可以更有效地搜索到全局最优解,成功地提高了无功优化问题的求解速度,使算法能更好地适应问题的求解.算例结果表明,该方法技术上可行且效果较好.
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