Magnetic Field Analysis for a Distribution Transformer with Unbalanced Load Conditions by using 3-D Finite Element Method
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.
[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.
[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.
@article{"International Journal of Electrical, Electronic and Communication Sciences:56960", author = "P. Meesuk and T. Kulworawanichpong and P. Pao-la-or", title = "Magnetic Field Analysis for a Distribution Transformer with Unbalanced Load Conditions by using 3-D Finite Element Method", abstract = "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)", volume = "5", number = "12", pages = "1742-6", }