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In this paper, we present a two-zone thermodynamic model that allows us to predict the time dependent in-cylinder conditions (P, T) in a high-speed medium BMEP engine fueled with different gas compositions. The details of this model rely on the observation that the measured combustion phasing correlates strongly with the (computed) laminar burning velocity under the conditions existing in the cylinder. To account for turbulence effects, a model parameter is introduced in the burning rate model. Calculations show that for Dutch Natural Gas (DNG)/ethane/propane mixtures a single model parameter, independent of the gas composition, is sufficient to predict the pressure profiles accurately. In contrast, the model parameter for DNG/H2 mixtures shows a dependence on the hydrogen content in the fuel. Adjustment of the model parameter resulted in successful prediction of the effect of hydrogen on the combustion phasing.