针对传统的PI调节器难以有效地控制三相并联型有源电力滤波器非线性的问题,基于T-S模糊控制的方法,对三相并联型有源电力滤波器进行数学模型分析,并建立T-S模糊控制模型。采用并行分布补偿的方法设计仅用4条模糊规则的模糊控制器T-S模糊控制器,将非线性问题线性化,通过稳定性的分析与证明,求解线性矩阵不等式,获得统一功率因数及谐波补偿控制器的状态反馈增益。仿真结果验证所建模型及所设计控制器的正确性和有效性。
Aim to solve the inefficiency of controlling the nonlinear of three-phase Shunt Active Power Filter(SAPT) by the traditional Proportion Integration(PI) controller,Takagi-Sugeno(T-S) type fuzzy logic method was put forwards.Based on the mathematics model analysis of the three-phase SAPT,T-S fuzzy logic model was established and fuzzy controller was designed.With analysis and demonstration the stability of the proposed T-S model,parallel distributed compensation was employed to design with just four rules fuzzy controllers for the T-S fuzzy models,and the common Lyapunov function and the stable feedback gains were solved by linear matrix inequality via Matlab.Computer simulations tested on a three-phase power system indicate the correctness,validity and significant performance with reactive power and harmonic compensation by the T-S fuzzy controller.