并联型有源电力滤波器容量和 最优安装位置的选择方法

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。

Study on the Size and Optimal Location of Shunt Active Power Filter

When active power filters (APF) are inten- tionally used in utility power system the location and size should be considered carefully. After the network objective function (NOF) of harmonic elimination was analyzed, the approach based on Benders decomposition theory to investigate installation location and size of APFs was discussed. In this theory the NOF of harmonic elimination was decomposed into two parts: the primary problem and the secondary problem. The location and size of APFs were determined at the primary level while in the secondary level minimization of the voltage distortions was done in consideration of harmonic standard. In order to solve the secondary problem the Lagrange function was adopted in this paper. And then the use of this theory to the application of hybrid active power filter (HAPF) was discussed in detail. The validity of the developed method is verified by the simulation results.