Parametric compact thermal models by moment matching for variable geometry

In this paper, a novel parametric moment matching technique is proposed for efficiently constructing accurate parametric compact thermal models for variable geometries. This result is achieved by reformulating the heat diffusion equation in a parametric-dependent domain as a heat diffusion equation in a reference domain wherein the geometry is fixed and material parameters are variable. The approach is successfully applied to provide a fast analysis of the influence of the key layout and technology parameters on the thermal behavior of SiGe heterojunction bipolar transistors.