应用微分几何理论的三相并联型有源电力滤波器解耦控制  

Decoupled Control of the Shunt Three-phase Active Power Filter Applying Differential Geometry Theory

作　　者：石峰[1] 查晓明[1] 

机构地区：[1]武汉大学电气工程学院,湖北省武汉市430072

出　　处：《中国电机工程学报》2008年第15期92-97,共6页Proceedings of the CSEE

摘　　要：有源电力滤波器(active power filter,APF)由于其突出性能已被证明是谐波抑制的有效手段之一,然而APF主电路为电压源逆变器(voltage source inverter,VSI),是一个非线性多变量、强耦合的系统,难以建立精确的数学模型,从而给控制器设计及应用带来困难。该文基于微分几何理论提出一种状态反馈精确线性化方法,推导出非线性坐标映射以及非线性反馈变换方程,将APF系统精确线性化,最终实现三相并联电压型APF有功、无功解耦控制器的设计。最后使用Matlab进行仿真并基于DSP和FPGA构成的双微处理器结构设计控制器进行了实验,仿真及实验结果表明,该控制策略能较好的实现APF的解耦控制,具有较好的补偿特性,经该控制算法补偿,谐波畸变率限制在2%以下,同时给出数字PI控制的实验结果作为比较。To restrain the harmonics injected into power grid, the active power filter（APF） has been considered as one of the most valid methods due to its salient features. However, the voltage source inverter（VSI）, the key circuit of APF, is a strong-coupled and multiple variable nonlinear system, which makes the model building and controller designing very difficult and limits the application of APF as a result. In this paper, a state variable feedback and accurate linearization method is presented to resolve this problem based on the differential geometry theory. First the application conditions of the method of the affine system are checked up. Then the nonlinear coordinate mapping and nonlinear feedback transformation equation are derived to linearize the above affine system of APE According to the operation objective of the APF system, the controller to make the system decoupled accurately is designed subsequently with a double closed-loop structure. As a result active power can be controlled separately with reactive power. Simulation was carried out to verify the validity of the control method. Furthermore, a 10kVA experiment system was built for certification based on a double micro processor structure with DSP plus FPGA. The digital PI control result is given in the same time for comparison.

关 键 词：三相有源滤波器 解耦控制 微分几何 双闭环结构 数字信号处理器 现场可编程门阵列 

分 类 号：TM60[电气工程—电力系统及自动化] TM713