We present a thermodynamic model for the prediction of the performance records of a solar hybrid gas turbine power plant. Variable irradiance and ambient temperature conditions are considered. A serial hybridization is modeled with the aim to get an approximately constant turbine inlet temperature, and thus to deliver to the grid an stable power output. The overall thermal efficiency depends on the efficiencies of the involved subsystems and the required heat exchangers in a straightforward analytical way. Numerical values for input parameters are taken from a central tower heliostat field recently developed near Seville, Spain. Real data for irradiance and external temperature are taken in hourly terms. The values of several variables at different situations are presented for a representative year: overall plant efficiency, solar conversion efficiency, solar share, power output, etc. The fuel consumption assuming natural gas is estimated, as well as greenhouse emissions. The model can be applied to predict the annual evolution of the performance of real installations in terms of a reduced set of parameters. It is also feasible to get information about the main irreversibility sources and the bottlenecks of the overall plant efficiency. This can contribute to improve the design of this kind of facilities in order to get better performance and so better economical records.