In this study, we evaluate the energy to bring to a solar hybrid road system to prevent it from icing at the surface. To estimate the thermal performances, a multi-physics finite element model is introduced to compute the temperature field from environmental conditions. From this model, the adjoint state method is used to solve an optimization problem taking into account a penalization of frozen periods and the energy brought to the system. Results obtained for different climatic conditions in France are presented, analyzed and discussed.