Geometric measures of modal controllability and observability of power system models

Abstract The proximity of the subspaces spanned by the individual columns of the B matrix to the one-dimensional A t -invariant subspaces can be used as measures of modal controllability of a linear model. These measures and their duals of modal observability are calculated in this paper for two representations of a multi-machine power system with 39 buses and 10 generators. The conditioning of the eigensystem is checked for the classical representation and the more detailed representation. The practical significance of the measures is demonstrated by showing their relation to coherency.

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