Multi-Parameter Bifurcation Analysis of a Three-Phases Induction Motor

作者：Jabli Nizar^*; Khammari Hedi; Mimouni Mohamed Faouzi

来源：International Review of Electrical Engineering, 2010, 5(2): 498-507.

• Induction Motor
• Bifurcation
• Saddle-Node
• Hopf
• Structural Stability

This paper presents a detailed numerical analysis of the complex bifurcation sets of a typical three-phase induction motor (IM). In fact, the dynamical properties of this electrical machine exhibit a rich behavior due to significant non-linearities and many motor parameters can vary significantly over the operating temperature range and saturation level. Moreover, the faults that occur in this kind of motor as well as the inter-turn short circuit fault in the stator windings can cause an abruptly change of parameters values. Therefore, all parameters are assumed to vary as a function of these conditions. So it is necessary to examine the effects of the parameters variation on the dynamic behavior of the motor. The study of the motor dynamics steady state is expected under both zero-load torque and nominal load torque motor tests. The main focus of this work is to present a numerically based study of the stability proprieties and the bifurcation phenomena concerning these limit points. Thus, structural stability is analyzed through the fluctuation of motor parameters such as rotor-stator resistors, inductors and mutual inductance. Therefore, it is observed that Saddle-node, Hopf and Generalized-Hopf bifurcations are the singularity subsets of the overall bifurcation phenomena that this machine may exhibit under parameters vary. Moreover, varieties of phenomena, such as jump and hysteresis, which may lead in these bifurcations, are carried out.

• 出版日期2010-4