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

Authors: Moncef Hammadi; Jean-Yves Choley

Addresses: LISMMA, SUPMECA-Paris, 3 rue Fernand Hainaut, 93407 Saint-Ouen Cedex, France ' LISMMA, SUPMECA-Paris, 3 rue Fernand Hainaut, 93407 Saint-Ouen Cedex, France

Abstract: 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.

Keywords: partial differential equations; PDEs; meshfree; radial basis function; RBF; differential quadrature method; multi-port technique; parametric compact modelling; dynamical systems; thermal modelling; simulation; power electronics; temperature; heat fluxes; power converters; finite element analysis; FEA; stencil sizes.

DOI: 10.1504/IJDSDE.2015.071002

International Journal of Dynamical Systems and Differential Equations, 2015 Vol.5 No.3, pp.206 - 219

Received: 07 Oct 2013
Accepted: 06 Dec 2014
Published online: 05 Aug 2015 *

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