Dynamic Simulation of Unbalanced Magnetic Force in Doubly-Fed Induction Machine with Inter-turn Short-Circuited Stator

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RESEARCH PAPER

Dynamic Simulation of Unbalanced Magnetic Force in Doubly-Fed Induction Machine with Inter-turn Short-Circuited Stator Abbas Khalili1 • Samad Taghipour Boroujeni1 • Noureddine Takorabet2 • Abdorreza Rabiee1 Received: 7 August 2020 / Accepted: 27 October 2020 Ó Shiraz University 2020

Abstract In the presented work, a dynamic model is provided for the wound-rotor induction machines with short-circuited stator winding. Both inter-turn phase-to-ground and inter-turn phase-to-phase short circuit faults are considered in the provided model. The self- and mutual-inductances of the windings of the faulty machine are the parameters of the provided statespace equations. As well as the machine electromagnetic torque and its stator and rotor currents, the waveform of the unbalanced magnetic force (UMF) in the faulty induction machine is predicted in the provided model. The UMF of the faulty machine is expressed by a static function of the machine currents. The parameters of the UMF function are obtained by using the Maxwell definition. The machine inductances and the air gap flux density distribution are obtained by means of winding function method. Since the exact waveforms of the machine turn functions are considered in computation of the air gap flux density, the special harmonics are taken into account inherently in the provided model. Finally, the developed model is verified by means of the time-stepping finite element model. Keywords Dynamic modeling  Short-circuited armature  Wound-rotor induction machines  Unbalanced magnetic force

1 Introduction Analysis, design, and control of induction machines, as the biggest part of the used electrical machines in the industry, have been interesting research topics for the past decades. Recently, analysis of induction machine during fault conditions attracts a lot of interest. The inter-turn stator short circuit and rotor eccentricity are the main fault types; however, the rotor eccentricity is not the topic of this paper. The faults diagnosis is very important to prevent catastrophic damages of the faulty machine. The fault diagnosis methods are categorized into three main branches such as model-based approaches (Nguyen et al. 2005; Hashemi and Rahideh 2020), feature extraction methods (Siddique et al. 2005), and knowledge-based techniques (Toma et al. 2013; Barzegaran et al. 2013). In the model-based methods, an accurate dynamic model of the faulty machines is & Samad Taghipour Boroujeni [email protected] 1

Engineering and Technology Department, Shahrekord University, Shahrekord, Iran

2

Universite´ de Lorraine – GREEN, Nancy, France

mandatory. In addition, an accurate dynamic model could be used to find appropriate signal features for the feature extraction methods. Finally, an accurate dynamic model could provide a complete result database for knowledgebased approaches and consequently avoid dangerous and costly experiment tests. The inter-turn short circuit fault causes high armature currents and consequently raises the Joule loss and temperature i