Model order reduction by a projection technique implemented on state equations

Krylov subspace-based projection methods offer the tools for an efficient simulation of large-scale dynamic systems, preserving stability and passivity of the original circuit. This paper presents a simple and efficient implementation of Krylov projection method on state equations of the circuit. The efficiency comes from the fact that the state equations, in the normal form, work with a minimum number of independent variables, and the effort involved by the transfer function computation is smaller then in the modified nodal equation (semi-state equation) case. We elaborated a new and efficient procedure to formulate the state equations in the normal form. It is shown that the MIMO systems can be well-handle using this approach. An example is used to illustrate the proposed technique and some conclusions are pointed out.