A Numerical Bifurcation Analysis of Indirect Vector-Controlled Induction Motor

Indirect vector-controlled induction motor (IVCIM) dynamics is well known for having different bifurcation behavior, viz., saddle-node bifurcation, Hopf bifurcation (HB), Bogdanov–Takens bifurcation, and zero-HB. A numerical analysis of these bifurcations for proportional–integral-controlled IVCIM is made in this brief using full-order IM model. Some new observations on the bifurcation behavior are made. Simulation and experimental results are presented validating the bifurcation behaviors.

[1]  Y. Gao Chaotification of Induction Motor Drives under Periodic Speed Command , 2003 .

[2]  Y. Kuznetsov Elements of Applied Bifurcation Theory , 2023, Applied Mathematical Sciences.

[3]  Javier Aracil,et al.  Codimension-Two bifurcations in Indirect Field Oriented Control of Induction Motor Drives , 2008, Int. J. Bifurc. Chaos.

[4]  Brendan Peter McGrath,et al.  Current Regulation Strategies for Vector-Controlled Induction Motor Drives , 2012, IEEE Transactions on Industrial Electronics.

[5]  Iven M. Y. Mareels,et al.  Indirect field-oriented control of induction motors is robustly globally stable , 1996, Autom..

[6]  Chandan Chakraborty,et al.  A New Formulation of Reactive-Power-Based Model Reference Adaptive System for Sensorless Induction Motor Drive , 2015, IEEE Transactions on Industrial Electronics.

[7]  Hassan K. Khalil,et al.  Speed Observer and Reduced Nonlinear Model for Sensorless Control of Induction Motors , 2009, IEEE Transactions on Control Systems Technology.

[8]  Alexandre S. Bazanella,et al.  Robust tuning of the speed loop in indirect field oriented control of induction motors , 2001, Autom..

[9]  Cristiano Maria Verrelli,et al.  On-Line Identification of Winding Resistances and Load Torque in Induction Machines , 2014, IEEE Transactions on Control Systems Technology.

[10]  Javier Aracil,et al.  Hopf bifurcation in indirect field-oriented control of induction motors , 2002, Autom..

[11]  Carlo Rossi,et al.  Speed Sensorless Control of Induction Motors Based on a Reduced-Order Adaptive Observer , 2007, IEEE Transactions on Control Systems Technology.

[12]  R. Krishnan,et al.  Study of Parameter Sensitivity in High-Performance Inverter-Fed Induction Motor Drive Systems , 1987, IEEE Transactions on Industry Applications.

[13]  Yoichi Hori,et al.  Model Reference Adaptive Controller-Based Rotor Resistance and Speed Estimation Techniques for Vector Controlled Induction Motor Drive Utilizing Reactive Power , 2008, IEEE Transactions on Industrial Electronics.

[14]  K. T. Chau,et al.  Chaos in Electric Drive Systems: Analysis, Control and Application , 2011 .

[15]  Kit Po Wong,et al.  Oscillatory Stability and Eigenvalue Sensitivity Analysis of A DFIG Wind Turbine System , 2011, IEEE Transactions on Energy Conversion.

[16]  Werner Leonhard,et al.  Control of Electrical Drives , 1990 .

[17]  Manuel R. Arahal,et al.  Bifurcation Analysis of Five-Phase Induction Motor Drives With Third Harmonic Injection , 2008, IEEE Transactions on Industrial Electronics.

[18]  G. Verghese,et al.  Nonlinear phenomena in power electronics : attractors, bifurcations, chaos, and nonlinear control , 2001 .

[19]  Alexandre S. Bazanella,et al.  Robustness margins for indirect field-oriented control of induction motors , 2000, IEEE Trans. Autom. Control..

[20]  George C. Verghese,et al.  Nonlinear Phenomena in Power Electronics , 2001 .

[21]  Asier Zubizarreta,et al.  Efficient Multivariable Generalized Predictive Control for Sensorless Induction Motor Drives , 2014, IEEE Transactions on Industrial Electronics.

[22]  Mohamed Rashed,et al.  Sensorless Indirect-Rotor-Field-Orientation Speed Control of a Permanent-Magnet Synchronous Motor With Stator-Resistance Estimation , 2007, IEEE Transactions on Industrial Electronics.

[23]  Xikui Ma,et al.  Hopf bifurcation in doubly fed induction generator under vector control , 2009 .