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The purpose of this article is to show that an improvement in understanding of physical phenomena can be achieved today, with the help of suitable numerical methods and simulation tools. Modeling and simulation are becoming more crucial, since engineers need to analyze very complex systems composed of several components from different domains. These systems are generally simulated by solving differential-algebraic systems which are in general hybrid systems incorporating many variables. The Modelica language allows formal writing of mathematical equations and the expression of models in an acausal way. In this paper, first, we present the advantage of the Modelica language in modeling and simulation of industrial applications. Then, two industrial test cases will be explained: the drilling-well station, which is a large complex 1D implicit system, and an automotive application where we test the advantages of Modelica to simulate switched models, known as commutated models. These applications have already been developed at IFP by Simulink (a Mathworks product). In the drilling case, the Simulink model was built with 116 subsystems and more than 500 blocks, whereas the Scicos model was built with just 9 Scicos/Modelica blocks. The engine model in Simulink is composed of 203 blocks and 30 subsystems, whereas the model in Scicos/Modelica is composed of less than 20 blocks. The simulation time in Simulink varies between 6 and 150 seconds as a function of the selected numerical solver, while in Scicos/Modelica it takes less than 3 seconds.

A New Modelica Model and Scicos Simulation for 0D/1D Nonlinear Complex Systems