Compact electro-thermal model of semiconductor device with nonlinear convection coefficient

Compact thermal models for semiconductor devices are usually constructed under the assumption of constant material properties as well as the convection coefficient. However, in many cases this is the cause of undesired deviations from experimental results. In this paper, we present an extension of model order reduction to construct a compact thermal model for the case when a convection coefficient is nonlinear. As an example, we use transient thermal simulation of a semiconductor device with a temperature-dependent convection coefficient. We demonstrate that the model order reduction technique introduced in this paper can treat such nonlinearity very efficiently. At the same time, the reduced model is accurate enough to replace the original model.