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在电网中安装有源滤波器来治理谐波污染,需要对有源滤波器进行优化配置,这是一个多变量的组合优化问题,粒子群优化(Particle Swarm Optimization,PSO)算法是一种有效的优化工具。本文将该算法应用于有源滤波器的优化配置,建立以电压总谐波畸变率为约束条件,以有源滤波器的造价为目标函数的数学模型。在迭代求解过程中,根据PSO算法的特点,以电网的谐波阻抗阵作为指导来修正注入某节点的谐波量,加快了收敛速度,缩短了求解时间。应用PSO算法对IEEE 18节点系统进行有源滤波器优化配置,能较快地收敛于最优解,优化结果表明了该算法的正确性。
It is a multivariable combinatorial optimization problem that the active filter must be optimally configured by installing active filters in the grid to control harmonic pollution. Particle swarm optimization (PSO) algorithm is an effective Optimization tools. In this paper, the algorithm is applied to the optimal configuration of the active filter, and the mathematical model is established with the voltage total harmonic distortion as the constraint and the active filter as the objective function. In the process of iterative solution, according to the characteristics of the PSO algorithm, the harmonic impedance matrix of the power grid is used as a guide to correct the harmonic quantity injected into a certain node, speeding up the convergence speed and shortening the solution time. The PSO algorithm is used to optimize the active power filter in the IEEE 18-bus system, which can quickly converge to the optimal solution. The optimization results show the correctness of the algorithm.