Error Indicator to Automatically Generate Dynamic Compact Parametric Thermal Models

During recent years, several groups have shown that parametric model reduction is possible in general. In particular, it has been shown that it allows us to generate compact thermal models while preserving film coefficients as parameters. Unfortunately, in order to run algorithms, a user should specify how many moments and what type to generate in advance and there were no formal rules to this end but a "trial and error" approach. We present an approach based on a local error in the transfer function and show that it can automate the process to build a dynamic compact parametric thermal model in much greater extent. We demonstrate that our algorithm can preserve three film coefficients for the first thermal model and material properties such as heat conductivity and heat capacity for the second model.