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在电力系统安装有源电力滤波器(active power filters,APF),主要是要决定装设的容量及安装位置,考虑的因素有谐波源个数及性质、电力系统结构和阻抗参数、谐波治理标准等。首先建立电网谐波治理目标优化函数,在对该函数进行深入研究的基础上对利用Benders分解法进行电力系统谐波治理目标函数求解的方法进行讨论,Benders分解法将整个问题分割成2部分:主问题与子问题,主问题处理APF位置的选择及额定容量的选取,使额定容量为符合实际情况的离散值,并且使APF的额定容量为最小;子问题解决电网谐波电压畸变问题,使谐波畸变程度降到最小,并满足谐波治理标准。同时,在子问题的求解工程中,利用拉格朗日乘数法求解考虑APF容量限制时注入谐波电流的最优值。最后,对最优安装位置求解方法在混合型有源电力滤波器(hybrid active power filter,HAPF)中的应用进行研究,分析在HAPF应用中所应注意的问题。仿真结果验证该方法的可行性。
The installation of active power filters (APFs) in power systems mainly determines the installed capacity and installation location. The factors to be considered are the number and nature of the harmonic sources, the structure and impedance parameters of the power system, harmonics Governance standards. Firstly, the objective function of Harmonic Harmonic Control is established. Based on the further study of this function, the method to solve the objective function of Harmonic Elimination in power system by Benders decomposition method is discussed. The Benders decomposition method divides the whole problem into two parts: The main problem and sub-problems, the main problem to deal with the selection of APF location and the selection of rated capacity, so that the rated capacity of discrete values in line with the actual situation, and to APF rated capacity for the smallest; Sub-problem to solve the problem of grid harmonic voltage distortion, so that Harmonic distortion to a minimum, and to meet the harmonic control standards. In the meantime, in solving the subproblem, Lagrange multiplier method is used to solve the optimal value of harmonic current injected when considering the capacity limitation of APF. Finally, the application of the method of solving the optimal installation position in hybrid active power filter (HAPF) is studied, and the problems that should be paid attention to in HAPF application are analyzed. Simulation results verify the feasibility of this method.