Construction of equivalent circuit of a transformer winding from driving-point impedance function - analytical approach

Mukherjee, P and Satish, L (2012) Construction of equivalent circuit of a transformer winding from driving-point impedance function - analytical approach. In: IET Electric Power Applications, 6 (3). pp. 172-180.

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Abstract

Analytical solution is presented to convert a given driving-point impedance function (in s-domain) into a physically realisable ladder network with inductive coupling between any two sections and losses considered. The number of sections in the ladder network can vary, but its topology is assumed fixed. A study of the coefficients of the numerator and denominator polynomials of the driving-point impedance function of the ladder network, for increasing number of sections, led to the identification of certain coefficients, which exhibit very special properties. Generalised expressions for these specific coefficients have also been derived. Exploiting their properties, it is demonstrated that the synthesis method essentially turns out to be an exercise of solving a set of linear, simultaneous, algebraic equations, whose solution directly yields the ladder network elements. The proposed solution is novel, simple and guarantees a unique network. Presently, the formulation can synthesise a unique ladder network up to six sections.

Item Type:	Journal Article
Publication:	IET Electric Power Applications
Publisher:	IEEE
Additional Information:	Copyright 2012 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	30 Mar 2012 11:38
Last Modified:	30 Mar 2012 11:38
URI:	http://eprints.iisc.ac.in/id/eprint/44214

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