Extended Krylov subspace method for reduced order analysis of linear circuits with multiple sources

This paper presents a method for general reduced order analysis of linear circuits with a large number of independent sources. This type of circuit is used to model the power grid in power supply noise analysis for example. The large size of the linear circuit model renders circuit simulation inefficient. The large number of independent sources makes conventional multi-port model reduction ineffective. In order to address these problems, this paper proposes an extended Krylov subspace method which constructs a transformation matrix based on the dynamics of the circuit as well as the source excitations, thus avoiding the multi-port problem of model reduction. The transformation matrix is then used to reduce the given circuit to a smaller circuit model, which allows for more efficient analysis.