Efficient macromodeling of power-bus structures based on 2D-integral equation approach

A numerically very efficient simulation method for the analysis of arbitrarily shaped power-bus structures on printed-circuit boards is presented. It is based on a 2D contour integral-equation method in combination with a subsequent macromodeling step, for simulation in time- and frequency domain. For this purpose a vector-fitting approach is applied, yielding a SPICE-compatible equivalent circuit representation of the power bus. The presented approaches allow us to embed the power planes as a linear N port into a circuit simulator, in order to perform a complete analysis of a power-bus system with active and passive components and the complete decoupling circuitry. The accuracy of the suggested method is validated by independent 3D-full wave simulations and experimental results.