Computation of the series impedance matrix

Abstract

Abstract

The series decomposition analysis of impedance matrix models for linear systems of arbitrary degree and dimension using recursive computation is considered. Formulation of the series-admittance description for multi-input, multi-output system models is discussed together with typical applications. A particularly simple, recursive, computationally effective procedure is outlined. Thereafter when, as in most engineering problems, the impedance form results in a matrix quadratic structure, further computational efficiency is possible. Finally, the controllability—observability aspects of series models are investigated and illustrative problems are provided for comparison with conventional assessment procedures.