Mathematics and Computers in Simulation 71 (2006) 360–368 Power distribution law in a Doubly Fed Induction Machine S´ ejir Khojet El Khil a,∗ , Ilhem Slama-Belkhodja a , Maria Pietrzak-David b , Bernard de Fornel b a Laboratoire des Syst` emes Electriques (LSE), Ecole Nationale d’Ing´ enieurs de Tunis (ENIT), B.P. 37-1002 Tunis le Belv´ ed` ere, Tunisia b Laboratoire d’Electrotechnique et d’Electronique Industrielle (LEEI),UMR No. 5828 au CNRS, INPT-ENSEEIHT, 2 Rue Camichel, B.P. 7122, 31071 Toulouse, Cedex 7, France Abstract The paper deals with a Doubly Fed Induction Machine (DFIM). It presents a study of an active power distribution law between stator and rotor sides. The DFIM is supplied by two voltages PWM inverters in stator and rotor. The power distribution law imposes a relation between rotoric and statoric pulsations. Due to this relation, a new variation structure of the DFIM speed control is presented. The four quadrants working are considered. Simulation results under Matlab-Simulink illustrate the performances of the power distribution law. © 2006 IMACS. Published by Elsevier B.V. All rights reserved. Keywords: Doubly Fed Induction Machine; Power distribution law; Four quadrants working 1. Introduction In many industrial applications the Doubly Fed Induction Machine (DFIM) presents several advantages. It can operate as well as motor in many high power applications such as traction, marine propulsion and in very low speed applications like coiler–uncoiler [1–5], or as generator in wind energy conversion systems like wind turbine [6–8], or pumped storage systems [9]. It presents good performances stability either in very low speed and in over speed operation [10]. In our application, the DFIM is a wound rotor ac induction machine supplied by two Pulse Width Modulation voltage inverters, one in rotor side and one in stator side [4,10]. The control strategy proposed in this paper is a rotor flux oriented one. The use of two inverters gives a drive with four degrees of freedom, it allows a power repartition between stator and rotor respecting to a specific distribution. This paper presents a thorough study of an active power distribution law between stator and rotor. In fact, if this power distribution law is not considered, the stator side has to support the majority of the mechanical DFIM power. This implies a specifically dimensioning of the inverter in the stator side and the use of the inverter in rotor side becomes without interest. The power distribution law imposes a relation between stator and rotor pulsations which permits an optimisation of the power sizes of the inverters. ∗ Corresponding author. Tel.: +216 71 874 700; fax: +216 71 872 729. E-mail address: khojet@leei.enseeiht.fr (S. Khojet El Khil). 0378-4754/$32.00 © 2006 IMACS. Published by Elsevier B.V. All rights reserved. doi:10.1016/j.matcom.2006.02.019