Successive network reduction method for parametric transient results

Abstract

In this paper we present a new, direct computational method for calculating the complex thermal transfer impedances between two separate locations of a given physical structure aimed at the implementation into a field-solver based on the SUNRED (SUccessive Node REDuction) algorithm. We tested the method with a simple 2D example containing 125 internal nodes. For testing the proposed new calculation method multiple combinations of Dirichlet and Neumann type boundary conditions were applied. Also, different types of thermal loads such as prescribed unit-step change in dissipation or temperature were assumed (for time domain transient analysis). The test case was also studied with the assumption of sinusoidal dissipation. Results obtained by the proposed new calculation method and results obtained by conventional simulations differ less than the uncertainty of the traditional solution method. The good agreement enables us to use the balanced truncation method to reduce the order of the transfer functions with low computational cost.