Parameterized Model and Performance of Five-Phase Induction Machines including Losses and Saturation
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Parameterized Model and Performance of Five-Phase Induction Machines including Losses and Saturation Luís A. Pereira · Sérgio Haffner · Luís F. A. Pereira · Renê A. Benvenuti · Ricardo S. da Rosa
Received: 18 August 2014 / Revised: 9 December 2014 / Accepted: 14 January 2015 © Brazilian Society for Automatics–SBA 2015
Abstract In this paper, the main electrical and magnetic parameters of five-phase machines are described in terms of the main dimensions and the winding characteristics. An analytical model is presented that accounts for the effects of saturation and losses; both effects have been neglected in most published works on high-phase machines. The model validation is performed through finite element analysis for a five-phase machine operating at steady state. In addition, the proposed model was also validated using experimental data obtained for a prototype five-phase machine working under several distinct load conditions and with varying third harmonic airgap induction. Special attention is given to the determination of the losses, due their influence on the overall performance of the machine. As shown through an example, the model and parameterization presented are well suited for the purposes of analysis design and optimization, as in volume reduction and efficiency maximization. To illustrate the model utilization, a comparison of a five-phase machine operating with sinusoidal and trapezoidal airgap induction is presented. The comparison indicates that the effects of saturation and losses can compromise some of the claimed advantages of this type of machine.
L. A. Pereira (B) · S. Haffner · L. F. A. Pereira · R. A. Benvenuti · R. S. da Rosa Electrical Engineering Graduate Program, Federal University of Rio Grande do Sul (UFRGS), CEP 90035-190 Porto Alegre, Brazil e-mail: [email protected] S. Haffner e-mail: [email protected] R. A. Benvenuti e-mail: [email protected] R. S. da Rosa e-mail: [email protected]
Keywords Induction machine · High-phase machine · Induction machine model · Five-phase induction machine
1 Introduction Induction machines have been used in nearly any type of application, as they provide a reliable and low-cost solution over a wide range of power, from small power applications up to several hundreds of megawatts in industrial applications. Powering the machine through a static converter makes possible to control its speed and torque in a very efficient way. Currently, converter fed induction machines are a standard low-cost solution for applications requiring variable speed and torque; in general, the machine is a standard three-phase machine designed to run on a fixed frequency power grid (Boldea and Nasar 2010; Levi et al. 2007). Induction machines with phase number higher than three have emerged as an alternative to conventional three-phase machines, as they present several potential advantages: higher torque/volume relationship, fault tolerance (higher reliability), and better active material utilization. When highphase machines are fed with an appropriated inverter, it
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