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In recent years, engine control systems have become more and more complex because of the growing pressure to develop technical innovations due to social pressures such as global warming and the depletion of fossil fuels. On the other hand, products must be launched on the market in a timely manner and at low cost. For these reasons, calibration processes have become more sophisticated. It is possible to improve the efficiency of calibration by making good use of models, and a calibration process that incorporates models is called model based calibration (MBC). MBC is a valid means of reducing the number of measurement points to some extent by statistical engine modeling and design of experiment (DoE) methodology which places measurement points in order to maximize modeling accuracy. However, it is still necessary to spend much time carrying out boundary detection testing before DoE.

Recent engine systems have become complex due to the requirements of fuel efficiency, exhaust gas emission control and good drivability. To decrease engine development period, model-based development has been adopted [1]. For torque-based vehicle control, engine torque estimation models are necessary. Simple mean-value torque models are available but these models require large amount of test data for development and validation. In addition, they cannot estimate transient torque precisely. On the other hand, complex physical models require considerable time for modeling and simulation. In order to decrease modeling time and retain model accuracy, the Wiebe function is utilized to calculate the heat release rate.

A novel plant modeling method called High Level Modeling (HLM) to design and develop control-oriented plant model is introduced. The HLM method is specifically designed to expose the design intention at physics level of a target physical system in a straightforward manner so that plant models can be efficiently understood and peer-reviewed from the physical standpoint. The method also enables construction of system equations from the design information based on simple formal rules which guarantees conservation laws. To show the effectiveness of the HLM approach through a concrete use case, it is applied to turbocharger radial compressor modeling, and analysis on the model equations is performed by deriving compressor speed lines and efficiency.