Fractional order modeling of rotor skin effect in induction machines

This paper presents a fractional Park model which is intended to characterize skin effect of squirrel cage induction machines. Usual modeling of skin effect is based on a ladder network; it is demonstrated that a fractional impedance is an alternative to this ladder network. The fractional Park’s model has been validated by output error identification. A methodology has been proposed to select the more appropriate fractional model of the rotor, respecting the diffusive nature of skin effect.

[1]  Bimal K. Bose,et al.  Power Electronics and Ac Drives , 1986 .

[2]  Amel Benchellal,et al.  Modélisation des interfaces de diffusion à l'aide d'opérateurs d' intégration fractionnaires , 2008 .

[3]  Gérard Montseny,et al.  Diffusive representation of pseudo-differential time-operators , 1998 .

[4]  Gerd Terorde,et al.  Electrical drives and control techniques , 2004 .

[5]  D. Marquardt.  An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[6]  Frank Hentschel,et al.  EFFECT OF CURRENT DISPLACEMENT CONSIDERATION ON THE BEHAVIOR OF INVERTER-FED SQUIRREL-CAGE INDUCTION MOTORS , 1994 .

[7]  A. Oustaloup,et al.  Modeling and identification of a non integer order system , 1999, 1999 European Control Conference (ECC).

[8]  I. Petráš.  Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation , 2011 .

[9]  H. Kabbaj,et al.  Identification d'un modèle type circuit prenant en compte les effets de fréquence dans une machine asynchrone à cage d'écureuil , 1997 .

[10]  T. Hartley,et al.  Dynamics and Control of Initialized Fractional-Order Systems , 2002 .

[11]  Dario Zaninelli,et al.  SIMPLIFIED FREQUENCY-DEPENDENT MODEL FOR INDUCTION MACHINES , 1994 .

[12]  Jun Lin,et al.  Modélisation et identification des systèmes d'ordre non entier , 2001 .

[13]  Ivo Petras,et al.  Fractional-Order Nonlinear Systems , 2011 .

[14]  Manuel Duarte Ortigueira,et al.  Fractional Calculus for Scientists and Engineers , 2011, Lecture Notes in Electrical Engineering.

[15]  Khaled Jelassi,et al.  Fractional modeling of rotor skin effect in induction machines , 2010 .

[16]  T. Poinot,et al.  Identification of Fractional Systems Using an Output-Error Technique , 2004 .

[17]  José António Tenreiro Machado,et al.  Fractional differentiation and its applications I , 2013, Comput. Math. Appl..

[18]  M. Poloujadoff,et al.  The Theory of Three Phase Induction Squirrel Cage Motors , 1987 .

[19]  S. Das.  Functional Fractional Calculus , 2011 .

[20]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[21]  Eugene A. Klingshirn,et al.  Simulation of Polyphase Induction Machines with Deep Rotor Bars , 1970 .

[22]  Sylvain Canat.  Contribution à la modélisation dynamique d'ordre non entier de la machine asynchrone à cage , 2005 .

[23]  J. T. Tenreiro Machado,et al.  Fractional order inductive phenomena based on the skin effect , 2012 .