A New Synchronous Machine Modeling Using the Field Reconstruction Method
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A New Synchronous Machine Modeling Using the Field Reconstruction Method Marcio L. Magri Kimpara · Ruben Barros Godoy · Pedro E. M. Justino Ribeiro · Luiz E. Borges da Silva · Babak Fahimi · João Onofre Pereira Pinto
Received: 6 March 2013 / Revised: 19 January 2014 / Accepted: 13 March 2014 © Brazilian Society for Automatics–SBA 2014
Abstract In this paper, a new synchronous machine (SM) modeling is presented using the field reconstruction method (FRM). The FRM for SM has been developed and covers the two main categories: non-salient and salient poles. The FRM concepts are described, and the basis function for stator and rotor is detailed for the target machines. The FRM model is then used as a tool of machine analysis. Specifically, the overall air gap flux density distribution was determined for an arbitrary condition and further the Maxwell stress tensor was used to determine the forces/torque. Moreover, the concept of FRM was used to develop a flux reconstruction formulation, in which the stator tooth flux was used to estimate the flux linkage and then the voltages under no-load condition. All the results were compared to finite element solutions and M. L. M. Kimpara (B) · R. B. Godoy · P. E. M. J. Ribeiro · J. O. P. Pinto Electrical Engineering Department, Federal University of Mato Grosso do Sul, Cidade Universitária, Campo Grande, MS 79070-900, Brazil e-mail: [email protected] R. B. Godoy e-mail: [email protected] P. E. M. J. Ribeiro e-mail: [email protected] J. O. P. Pinto e-mail: [email protected] M. L. M. Kimpara · P. E. M. J. Ribeiro · L. E. B. da Silva Institute of Engineering Systems, Federal University of Itajubá, Av. BPS, 1303 Pinheirinho, Itajubá, MG, Brazil L. E. B. da Silva e-mail: [email protected] B. Fahimi Electrical Engineering Department, The University of Texas at Dallas, 800 W. Campbell Road, Richardson 75080-3021, TX, USA e-mail: [email protected]
show that the FRM provides a very accurate solution with the advantage of high computational efficiency. The main contribution of this new modeling is the quickly electromagnetic flux density estimation which creates an opportunity for real-time implementations with fast interactive algorithm processing for machine performance optimization, machine control, analysis, and diagnosis. Keywords Synchronous machine · Machine modeling · Electromagnetic flux density · Field reconstruction method · Finite element analysis.
1 Introduction Synchronous machines (SMs) belong to the AC rotating electric machines category. The main types that constitute the SM family are: wound-rotor SMs, synchronous reluctance machines, and permanent magnet synchronous machines (Pyrhonen et al. 2008). Figure 1 shows the SM family and as highlighted, the aim of this paper is the wound-rotor SMs. Based on magnetic circuit, SMs are either salient or nonsalient pole machines. SM is an important electromechanical energy converter whose main application is the electric energy generation. For these purposes, it is usually built in large units and to operate
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