This study concerns the modelling, in a dynamic regime of nonlinear operation, of a silicon on insulator (SOI) monomode waveguide with a grating coupler used as a photodiode. This model is made in the dynamic regime and is based on variations of the refractive index caused by both the photo generation of an electron hole pair and by thermal effects that are due to the recombination of carriers and the Joule effect. This model allows one to determine the operating range of the photodetector by adjusting key parameters, such as: the incident power density, the angular detuning relative to the resonance and the bias voltage.