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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。
In this paper, the dynamic equations of induction motor under bounded input are deduced by coordinate transformation, and a fifth-order bilinear and nonlinear equation describing the dynamic response of induction motor is obtained. Under the condition of three-phase equilibrium, this model can be simplified as a third-order model. According to the Liapunov stability theory, the fourth-order and second-order bilinear nonlinear state observers are constructed respectively by the fifth-order and the third-order models. The above observer can reconstruct the stator flux and rotor flux of the induction motor. The numerical simulation results show that the reconstruction error of the nonlinear state observer has fast convergence and also shows that there is an excellent agreement between the reconstructed second-order nonlinear state observer and the fourth-order nonlinear state observer The approximation.