Nonlinear analysis of direct torque controlled induction machines

The nonlinear phenomena of direct torque controlled (DTC) induction machine (IM) is investigated. Since the system is strongly nonlinear due to the hysteresis comparators, various nonlinear phenomena are expected. The objective of the paper is the study of these behaviors, exploring various system states from regular periodic operations to chaotic ones. The main goal is twofold, first by obtaining a deeper insight into the operation of DTC-IM the design of control parameters (width of hysteresis loops) can be supported with the help of the techniques of nonlinear dynamics such as Poincare maps and Bifurcation diagrams, secondly the sudden changes of system states or bifurcations expected due to the nonlinearities can be detected and studied.

[1]  A. El Aroudi,et al.  Quasiperiodic route to chaos in DC-DC switching regulators , 2001, ISIE 2001. 2001 IEEE International Symposium on Industrial Electronics Proceedings (Cat. No.01TH8570).

[2]  H. H. C. Iu,et al.  Bifurcation behavior in parallel-connected buck converters , 2001 .

[3]  B. G. M. Robert,et al.  Border collision bifurcations in a one-dimensional piecewise smooth map for a PWM current-programmed H-bridge inverter , 2002 .

[4]  Tamotsu Ninomiya,et al.  Analysis of PFC converter stability using energy balance theory , 2003, IECON'03. 29th Annual Conference of the IEEE Industrial Electronics Society (IEEE Cat. No.03CH37468).

[5]  István Schmidt,et al.  ADAPTIVE HYSTERESIS CURRENT VECTOR CONTROL OF SYNCHRONOUS SERVO DRIVES WITH DIFFERENT TOLERANCE AREAS , 2003 .

[6]  M. Bernardo,et al.  Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters , 2000 .

[7]  István Vajk,et al.  Identification of nonlinear errors-in-variables models , 2003, Autom..

[8]  P. Bauer,et al.  Modulation for AC-to-AC resonant link converters with active filtering , 1996, Proceedings of International Conference on Power Electronics, Drives and Energy Systems for Industrial Growth.

[9]  Toshihiko Noguchi,et al.  A New Quick-Response and High-Efficiency Control Strategy of an Induction Motor , 1986, IEEE Transactions on Industry Applications.

[10]  Jenő Hetthéssy,et al.  Identification of nonlinear errors-in-variables models , 2002 .

[11]  L. Benadero,et al.  Birth and death patterns of large limit cycles in PWM boost converter , 2003, IEEE International Conference on Industrial Technology, 2003.

[12]  H. Guldner,et al.  Application of Statistical Analysis to DC-DC Converters , 2001 .

[13]  Sergiu Nedevschi,et al.  AC DRIVE CONTROL WITH DYNAMICALLY RE-CONFIGURABLE ADAPTIVE CONTROLLER , 2000 .

[14]  M. Depenbrock,et al.  Direct self-control (DSC) of inverter-fed induction machine , 1988 .

[15]  K. T. Chau,et al.  Experimental stabilization of chaos in a voltage-mode DC drive system , 2000 .

[16]  Boguslaw Grzesik,et al.  Model of commutation for power electronic converter , 2003 .