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The paper deals with the automatic generation of global model of static converters without the description of their environment. The considered models are average and exact models (i.e. with ideal switches). These models are obtained by using a software tool named AMG (for Average Model Generator) with a priori on the control mode and behaviour of the static converter. In this paper, an extension of this tool is developed and allows to gather together the generated models with the models of their environment without considering the equations of the loads and sources of the static converter. It proposes to use the causality between models, then non causual modelling languages as Modelica  or VHDL-AMS . This is useful for loads such electrical machines described by a Park model. The generated models are in text file, VHDL-AMS and Modelica forms. This modelling method has been applied to several applications, among them a three-phase voltage inverter coupled with a three-phase machine simply modelled by a three-phase resistor-inductor load, presented in the paper to illustrate the approach. This generated model has been implemented in Matlab/Simulink reg (C-Sfunction) , VHDL-AMS (Cadence , Portunus , Mentor , Saber , Simplorer, Smash ) and Modelica (Amesim , Dymola , Scilab-Scicos ).