基于李雅普诺夫函数的并联型混合有源电力滤波器非线性控制方法

摘要

In order to reduce the complexity of harmonic current detection of active power filters and solve the problem of power supply current distortion with the change of nonlinear loads, a nonlinear control strategy based on the Lyapunov Function for the shunt hybrid active power filter ( SHAPF ) is proposed. The affine nonlinear model of the SHAPF is built, and voltage-current double closed loops are designed. For the inner current loop, a novel nonlinear control strategy based on the Lyapunov function is proposed to improve the global asymptotic stability. The strategy is a simple solver to realize the decoupling control of the reactive power compensation current and thus achieve fast tracking of harmonic reference current. Considering the anti-interference performance of the system as an optimization goal, the optimal controller gain is obtained to smooth power fluctuation caused by parameter perturbation or load step demand. For the outer voltage loop, a nonlinear sliding mode control method is adopted to stable the capacitor voltage when the load changes and disturbance occurs. The simulation results of Matlab/Simulink and experimental results of dSPACE platform show that the proposed nonlinear control method based on the Lyapunov function for the SHAPF is simple, highly stabile, and strongly robust.%针对有源电力滤波器电流谐波分量检测复杂、非线性负载变化时电源电流畸变的问题，提出基于李雅普诺夫函数的并联型混合有源电力滤波器( SHAPF)非线性控制方法。在建立SHAPF仿射非线性模型的基础上，设计电压-电流双闭环控制回路。从稳定性角度出发，针对内环电流环提出基于Lyapunov函数的非线性控制策略，实现无功补偿电流的解耦控制，快速跟踪谐波参考电流，并以增强系统抗干扰性能为优化目标，求取控制器最优增益，确保线路参数发生摄动或负载需求发生阶跃变化时，系统仍能稳定运行。外环电压环采用滑模非线性控制方法，保持电容电压平稳，实现负载突变时的动态调节。应用Matlab/Simulink软件进行仿真分析，并基于dSPACE实验平台验证所提出控制策略的可行性和有效性。仿真和实验结果表明：基于Lyapunov函数的非线性控制方法具有简单易行、稳定性高、鲁棒性强的特点。