Abstract: The calculation of impedances at different frequencies and under a variety of system conditions is computationally burdensome. Accordingly, disclosed embodiments generate a set of reduced bus matrices, retaining nodes of interest from a square bus matrix that models an electrical network, for a plurality of frequencies. This set of reduced bus matrices retains the computational fidelity of the square bus matrix by capturing the influences from removed buses. To evaluate variations in system conditions, change matrices may be generated and applied to the set of reduced bus matrices using matrix algebra.

Abstract: The calculation of impedances at different frequencies and under a variety of system conditions is computationally burdensome. Accordingly, disclosed embodiments generate a set of reduced bus matrices, retaining nodes of interest from a square bus matrix that models an electrical network, for a plurality of frequencies. This set of reduced bus matrices retains the computational fidelity of the square bus matrix by capturing the influences from removed buses. To evaluate variations in system conditions, change matrices may be generated and applied to the set of reduced bus matrices using matrix algebra.