Parametric compact modelling of dynamical systems using meshfree method with multi-port technique

Several dynamical systems require parametric compact modelling of physical behaviour taking into account the tight coupling with the control system. In this paper, we present an approach combining meshfree method with multi-port technique for the analysis of physical systems modelled with partial differential equations. The meshfree technique used is based on radial basis functions and differential quadrature method. Thermal modelling and simulation of a power electronic converter is considered as an application to validate the proposed approach. Obtained results of temperatures and heat fluxes in different layers of the power converter are compared with finite element analysis. It is shown that with small stencil sizes, it is possible to produce solutions for complex systems with an accuracy comparable to finite element method, but with less computation time.