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Magnetic Field Analysis for a Distribution Transformer with Unbalanced Load Conditions by using 3-D Finite Element Method

Authors: P. Meesuk, T. Kulworawanichpong, P. Pao-la-or


This paper proposes a set of quasi-static mathematical model of magnetic fields caused by high voltage conductors of distribution transformer by using a set of second-order partial differential equation. The modification for complex magnetic field analysis and time-harmonic simulation are also utilized. In this research, transformers were study in both balanced and unbalanced loading conditions. Computer-based simulation utilizing the threedimensional finite element method (3-D FEM) is exploited as a tool for visualizing magnetic fields distribution volume a distribution transformer. Finite Element Method (FEM) is one among popular numerical methods that is able to handle problem complexity in various forms. At present, the FEM has been widely applied in most engineering fields. Even for problems of magnetic field distribution, the FEM is able to estimate solutions of Maxwell-s equations governing the power transmission systems. The computer simulation based on the use of the FEM has been developed in MATLAB programming environment.

Keywords: Distribution Transformer, Magnetic Field, Load Unbalance, 3-D Finite Element Method (3-D FEM)

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[1] N.A. Demerdash and D.H. Gillott, "A new approach for determination of eddy current and flux penetration in nonlinear ferromagnetic materials," IEEE Transactions on Magnetics, Vol.74, pp. 682-685, 1974.
[2] W.N. Fu, Electromagnetic field analysis of induction motors by finite element method and its application to phantom loading, Ph.D. Thesis, Hong Kong Polytechnic University, China, 1999.
[3] C. Christopoulos, The Transmission-Line Modeling Method: TLM, IEEE Press, USA, 1995.
[4] P. Pao-la-or, T. Kulworawanichpong, S. Sujitjorn and S. Peaiyoung, "Distributions of Flux and Electromagnetic Force in Induction Motors: A Finite Element Approach," WSEAS Transactions on Systems, Vol. 5, No. 3, pp.617-624, 2006.
[5] P. Pao-la-or, A. Isaramongkolrak and T. Kulworawanichpong, "Finite Element Analysis of Magnetic Field Distribution for 500-kV Power Transmission Systems," Engineering Letters, Vol. 18, No. 1, pp.1-9, 2010.
[6] R.W. Lewis, P. Nithiarasu and K.N. Seetharamu, Fundamentals of the Finite Element Method for Heat and Fluid Flow, John Wiley & Sons, USA, 2004.
[7] M.A. Bhatti, Advanced Topics in Finite Element Analysis of Structures, John Wiley & Sons, USA, 2006.
[8] P.I. Kattan, MATLAB Guide to Finite Elements (2nd edition), Springer Berlin Heidelberg, USA, 2007.
[9] S.V. Kulkrni and S.A. Khaparde, Transformer engineering design and practice, Marcel Dekker, USA, 2004.
[10] V.N. Mittle, and A. Mittle, Design of electrical machines, Standard Publishers, 1996.