目标函数优化的有源滤波器差拍控制算法

以并联型有源滤波器为例,以降低差拍控制算法的复杂度为目的,通过优化目标函数提出了3种差拍控制算法。其中一范数差拍控制算法和无穷范数差拍控制算法通过构造新目标函数对算法进行化简,更适于控制三相有源滤波器,其新目标函数与传统差拍控制的二范数目标函数等价。通过优化传统差拍控制的目标函数得到改进二范数差拍控制算法,该算法的运算量比一范数算法和无穷范数算法少,适用于控制三相及单相有源滤波器。仿真结果表明上述3种算法均具有与传统差拍算法十分接近的控制精度,对控制周期变化的适应性相同,可完全取代传统差拍算法。考虑到算法的复杂度,改进二范数差拍控制算法最具应用价值。

Beat Control Algorithm of Active Power Filter with Objective Function Optimized

Taking shunt active filter for example and for the purpose of reducing computational complexity of beat control algorithm, by means of optimizing objecitive function three kinds of beat control algorithms are proposed, they are one norm beat control algorithm, infinite norm beat control algorithm and improved two norm beat control algorithm. As for one norm beat control algorithm and infinite norm beat control algorithm, the algorithm simplification is realized by constructing new objective function that is equivalent to the two norm objective funciton of traditional beat control, so these two algorithms are more suitable to control three-phase active filters. The improved two norm beat control algorithm is obtained by optimizing the objective function of traditional beat control, its computation amount is less than those of one norm beat control algorithm and infinite norm beat control algorithm, thus it is suitable to both single-phase and three-phase active filters. Simulation results show that the control precison of above-mentioned three algorithms is very close to that of traditional beat control algorithm, and the adaptability of above-mentioned three algorithms is same as that of traditional beat control algorithm, so the proposed algorithms can substitute traditional beat control algorithm entirely. Considering the order of complexity, the proposed two norm beat control algorithm is most suitabel to be applied.