This PhD report deals with modeling formalisms for multi-physical systems in the design V- cycle. Thiswork was carried out within the French ANR-MoCoSyMec project, according to the methodology of functionalvirtual prototyping (PVF) and illustrated with electromagnetical systems.The work focuses on the VHDL-AMS modeling language, as a support for several modeling levels appearingin the design V-cycle. In this work, the portability and interoperability problems have been studied, usingVHDL-AMS, for various modeling methods and tools. Solutions have been proposed and validated for use limitsof VHDL-AMS language, specifically for the modeling of some physical phenomena using numericalcomputations, through the software component formalism called ICAr.The ICAr software component standard has been extended to support dynamic models described throughdifferential algebraic equations (DAE). It has also been extended for co-simulation purposes in which a solver isassociated to the dynamic model inside the ICAr component. These developed solutions are now available in theframework CADES.Finally, architecture has been proposed for the transforming of models from a professional formalism intoanother, specifically into VHDL-AMS. It has been designed and implemented for reluctant magnetic models(RelucTool) and magnetic MEMS (MacMMems).These formalisms and methodologies are implemented around the functional virtual prototyping (PVF) of anelectromagnetic contactor.
