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提出一种基于精确反馈线性化的有源电力滤波器(active power filter,APF)准滑模变结构复合控制策略,解决了传统有源电力滤波器滑模控制器设计结构复杂及抖振问题。根据三相有源电力滤波器在d-q坐标系下的仿射非线性模型,推导相应的坐标变换矩阵与状态反馈表达式,得到系统精确反馈线性化模型。针对此线性系统设计积分滑模函数,并证明等效控制的存在性与滑模控制的可达性。最终实现了准滑模变结构控制器设计,并给出参数选取范围。仿真与实验结果证明,该复合控制方法结合了精确反馈线性化控制与滑模控制的优点,具有较优的动态控制响应与稳态控制性能。
A compound sliding mode control strategy based on APF (Active Power Filter) is proposed based on precise feedback linearization, which solves the complex structure and chattering problem of the sliding mode controller of traditional active power filter. According to the affine nonlinear model of three-phase active power filter in d-q coordinate system, the corresponding coordinate transformation matrix and state feedback expression are deduced, and the system accurate feedback linearization model is obtained. The integral sliding mode function is designed for this linear system and the existence of equivalent control and the reachability of sliding mode control are proved. Finally, the quasi-sliding mode variable structure controller is designed, and the range of parameter selection is given. Simulation and experimental results show that the hybrid control method combines the advantages of accurate feedback linearization control and sliding mode control, and has better dynamic control response and steady-state control performance.