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A quasidimensional combustion model for homogenous spark ignition combustion processes with variable valve timing is proposed which is able to compute a complete engine map in advance and can be calibrated rapidly. In the engine map there are not only load and speed that do change considerably, the residual gas mass does so as well. This paper exposes the models' potential and limits by both simulation and measurement on two different engines with port-injection. Methods for model adjustment as well as the implementation in the commercial one-dimensional flow simulation software “GT-Power” will be shown. Furthermore a knock control is introduced and resulting errors are discussed.