研究了δ算子离散化有源电力滤波器的滑模控制器设计问题。基于双曲正切函数提出了一种δ算子离散趋近律滑模控制策略,所设计的滑模控制器保证了系统在有限时间内趋近切换面,有效地削弱了抖振。基于滑模控制策略设计的有源电力滤波器及时准确地实现了谐波电流的动态跟踪补偿。试验结果证明了该方法的可行性和有效性。 The sliding mode controller design problem of δ-operator discrete active power filter is studied. Based on the hyperbolic tangent function, a discrete operator approach sliding mode control strategy of δ operator is proposed. The designed sliding mode controller ensures that the system approaches the switching surface in a limited time and effectively weakens the chattering. The active power filter based on the sliding mode control strategy realizes the dynamic tracking compensation of the harmonic current timely and accurately. The test results prove the feasibility and effectiveness of this method.