中文摘要：

从复矢量分析方法入手，给出并联有源电力滤波器（Shunt Active Power Filter, SAPF）复矢量分析模型及信号流图，研究了低开关频率下的SAPF复矢量数学模型。针对不同开关频率，对SAPF控制性能进行分析，在低开关频率下对SAPF进行系统设计，并对所设计控制器进行性能分析。通过仿真验证设计的控制器与传统比例积分控制器相比，在低开关频率下有控制优势。实验证明，在低开关频率下，采用复矢量控制器对SAPF进行系统设计，可以提高SAPF的补偿效果，增强SAPF控制系统稳定性。

英文摘要：

From the analysis method of complex vector, the SAPF complex vector analysis model and signal flow diagram were both given. The mathematical model of complex vector SAPF with low switching frequency was studied. For different switching frequencies, the control performance of SAPF was analyzed. For the low switching frequency system design of SAPF, the controller performance was analyzed. Through the simulation compared with the traditional PI controller and the designed controller, the advantage of the new designed controller was shown as the low switching frequency. Experimental results was shown that as the low switching frequency, uses a complex vector controller, the designed SAPF system can improve the compensation effect and enhance stability of SAPF control system.