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建立了一种适用于中高压系统的并联混合型有源电力滤波器的一阶数学模型,在其状态空间模型基础上设计了用于状态观测和扰动估计的线性扩张状态观测器及误差反馈控制律,考虑到时滞对象本身就反应迟缓,去掉跟踪微分环节,从而建立了用于电流跟踪的一阶线性自抗扰控制器。通过李亚普诺夫稳定性理论分析了采用一阶线性自抗扰控制器时并联混合型有源电力滤波器的稳定性,得出系统是渐进稳定的,也是工程意义上稳定的。将一阶线性自抗扰控制器应用于某10 kV线路下并联混合型有源电力滤波器的电流跟踪控制进行仿真研究,结果表明线性自抗扰控制器能够很好的处理超调和快速性之间的矛盾,性能优于传统的PI控制器,验证了基于线性自抗扰控制策略的有效性。
A first-order mathematical model of parallel hybrid active power filter for medium and high voltage systems is established. Based on the state space model, a linear expansion state observer and error feedback control are designed for state observation and disturbance estimation The law, taking into account the delay of the object itself slow response, remove the tracking differential, thus establishing a first-order linear automatic disturbance rejection controller for current tracking. By using Lyapunov stability theory, the stability of parallel hybrid active power filter with first order linear auto disturbance rejection controller is analyzed. The result shows that the system is asymptotically stable and stable in engineering sense. The first-order linear auto-disturbance rejection controller is applied to the current tracking control of parallel hybrid active power filter under a 10 kV line. The results show that the ADRC controller can handle the overshoot and fast The contradiction and the performance are better than the traditional PI controller, which verifies the effectiveness of the control strategy based on linear ADR.