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Study on 3-winding system with angular asymmetry part II - eigenvalues of inductance matrix and transformation αβ0

One of the most frequently-used coordinate system in theory of electrical circuits is the coordinate system spanned on eigenvectors which leads to diagonal structure of matrix relation between input and output variables. So far, this coordinate system has not been considered in details in relation to a 3-phase system of windings with angular asymmetry. In the paper the characteristic equation is formulated and eigenvalues are determined as function of angles between consecutive windings. The paper is enriched by graphical presentation of equivalent schemes and discussion on possible physical models of 3-winding asymmetrical system in coordinates αβ0 linked with eigenvector coordinate system.