For these interwoven attributes, using numerical simulation, system modeling, and design space exploration become the best option automotive companies can find an optimal solution to meet all these requirements. Calculating engine exciting force requires knowing internal combustion pressure at arbitrary operation regimes. And combustion pressure is changed repeatedly every development phase with calibration of control design value. But it needs to build a complex and large-scale engine model. To describe the combustion process, in this case, Mitsubishi Motors used a very simple physical model and approximation model with well-known Wiebe function that depends on five internal parameters and the polytropic index. The simple engine model is also affected by several operational parameters, so parameters of the Wiebe function model are required to adopt such variations. Approximation model can find out Wiebe function parameters at the arbitrary condition and consequently, it gives an accurate combustion pressure calculation in the simple model.

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