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Abstract
The finite-element method can be used for an approximate solution of axisymmetric exterior-field problems by truncating the unbounded domain, or by applying various techniques of coupling a finite region of interest with the remaining far region, which is properly modelled.
In this paper, we propose the solution of axisymmetric exterior-field problems by using the standard finite-element method in a bounded, transformed domain obtained by conformal mapping from the original, unbounded one. The transformed functionals have very simple expressions and the exact transforms of the original boundary conditions are used in the transformed domain. Consequently no approximation is introduced in the proposed method and improvements in the accuracy of the solution are obtained as compared to several other methods in common usage, especially with the truncated mesh technique.
A few sample problems are solved and the presented method is found to be simple and highly accurate. It is particularly recommended for problems with material inhomogeneities and anisotropies within large regions.
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Notes on contributors
M K Venkatesha
M K Venkatesha took his BE from the University of Mysore during 1981, MSc (Engg) from the University of Manitoba, Winnipeg, Canada during 1986 and PhD in Electronics and Communication Engineering from the University of Mysore during 1998 for his thesis study and design of new inverter/converter circuits for various purposes.
He joined the Department of Electronics and Communication Engineering of Malnad College of Engineering, Hasan during 1981 and is currently working as Assistant Professor. He has published over 30 papers in the field of Electronics and Communication Engineering.
He was conferred the J C Bose Memorial Gold Medal of IETE 1996 for the best engineering science oriented paper.
K A Krishnamurthy
K A Krishnamurthy took his BE from the University of Mysore in 1967, MTech from KREC, Surathal in 1972 and PhD in Electrical Engineering from IIT, Bombay in 1978 for his thesis on the Power Factor Control and Reduction of Line Harmonics in Thyristor Power Converters.
He is with the Malnad College of Engineering, Hassan since 1967 and is currently the Principal. He has published over 60 papers in the field of Power Electronics and Microprocessor Based Instrumentation.
He was with the University of Manitoba, Canada as a Visiting Professor during 1981–82 and 183–84. He was also with the ABB, Switzerland as a consulting Professor.
He was conferred the J C Bose Gold Medal of IETE (1996) for the best engineering science oriented paper and the ISTE-UP State National Award (1996) for his outstanding and innovating research contributions.
He is a SM-IEEE, FIETE, FIE.