Nonlinear dynamic compact thermal models by structure-preserving projection

Abstract

A novel projection-based approach is proposed for constructing compact models of nonlinear heat diffusion problems for electronic components. The method is robust since it preserves the non-linear structure of the heat diffusion equations. It is efficient, since it is constructed by determining few moments of Volterra׳s series expansions of the solution. It leads to compact models of small state-space dimensions which can be numerically solved at negligible computational cost and to accurate approximations of the whole space-time distribution of temperature rises for all significant waveforms of the injected powers.