感应电动机的非线性状态观测器

本文用坐标变换推导了有界输入下感应电动机的动力学方程,得到一个描述感应电动机动态响应的五阶双线性和非线性状态方程。在三相平衡条件下,这个模型可简化为三阶模型。由五阶和三阶模型,根据Liapunov稳定性理论分别构造了四阶和二阶双线性非线性状态观测器。上述观测器可以重构感应电动机的定子磁链和转子磁链。数字仿真结果表明,非线性状态观测器的重构误差具有快的收敛性,并且也表明了简化后的二阶非线性状态观测器与四阶非线性状态观测器的重构状态间有极好的近似性。

Nonlinear Observer for Induction Motor

A fifth-order bilinear and nonlinear model which characterizes the dynamic performance of the induction motor is derived from frame transformation. Under three-phase balance condition, this model could be reduced to that of a third-order. With the Liapunov stability theory, fourth-order and second-order bilinear and nonlinear observers are built. The observers can reconstruct the flux-linkages of the induction motor. The question of reconstruction error convergence is examined for the third-order and fifth-order models. Simulation results show that the reconstruetion error of the nonlinear observer is readily convergent and that the reconstruction states between the reduced second-order and fourth-order nonlinear observers are finely approximate.