基于PCH模型的有源电力滤波器滑动耗散阻尼限幅自适应L2增益控制

基于有源电力滤波器(APF)的端口受控哈密顿系统(PCH)平均化模型,提出了一种采用滑动耗散阻尼限幅的自适应L2增益控制新方法.该方法基于APF的能量耗散特性和能量平衡原理,建立了APFPCH平均化模型和误差系统PCH平均化模型.在此基础上设计了自适应L2增益控制方法,在确保误差系统稳定的同时有效抑制了参数摄动和外界干扰对控制效果的影响.针对误差系统的欠驱动性质和准确估计直流电容参考电压波动量的困难,分别采用间接控制以及大电容条件下忽略直流电容参考电压波动量的方法,简化了控制方法的执行过程;此外,该方法还分析了APF内层控制过调制现象产生的原因.针对跟踪精度和干扰抑制的要求与APF内层控制过调制约束条件间的矛盾,通过以滑动耗散阻尼限幅控制代替固定耗散阻尼控制,在满足内层控制约束条件下确保跟踪精度和补偿效果.仿真实验验证了本文所提方法的正确性和有效性.

A Novel Adaptive L2Gain Control Algorithm With Sliding Dissipative Damping and Limitation for Active Power Filter Based on PCH Model

This paper proposes a novel adaptive L2 gain control algorithm with sliding dissipative damping and limitation for Active power filter (APF) based on its averaged port controlled hamitonian (PCH) model. According to the energy-dissipative nature of APF state equations,the averaged PCH model of APF is firstly established. The averaged PCH model of error system is further derived in terms of energy balance. Based on the established error system model,the adaptive L2 gain control algorithm is proposed which could not only stabilize the error system but also attenuate the control objectives tracking errors of APF caused by exogenous disturbances and parametric perturbations. In order to deal with the underactuated property of error system and the difficulty in estimating the ripple component on dc-side capacitor reference voltage,indirect control and ignoring the ripple component on dc-side capacitor reference voltage are included in the proposed control algorithm so that the implementation of control algorithm is simplified. In addition,the reasons of APF input saturation are also analyzed. Based on the relation ship between control performance and APF input saturation,sliding dissipative damping and limitation control is utilized to instead of constant dissipative damping control so that the trade-off between control accuracy and the limitation of input saturation is solved. Simulation results are presented to verify the validity of the proposed algorithm.