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Inversion of Y-Matrix Occurring in a Linearized Multimachine Power System Model


P.Y. Okyere

Abstract

When constructing a linearized multimachine power system model, expressions for current components describing the interaction among machines must be sought. Explicit expressions for the current components can be derived in terms of the elements of a Y-matrix which because of saliency of machines is obtained by two successive inverse operations. This paper presents a method which circumvents the two inverse operations for efficiently computing the Y-matrix which can be very large. The method obtains the Y-matrix initially in a partially-constructed form and then obtains the final required form from it by just changing its elements. The proposed method when compared with the normal approach which makes use of standard routine, reduces the computation time by about half. The method also saves computer storage space because it does not require the extra working space which is equivalent to a real vector of dimension 2n necessary in the normal approach.


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eISSN: 3057-3629
print ISSN: 0855-0395