Mathematic description

The theoretical effort invested in modeling the CPV receiver with solar cells immersed in liquid has not seen the intensive research and development activity. The studies of thermal model of solar cells have been mostly concentrated on photovoltaic system and hybrid photovoltaic thermal system. Radziemska [9] summarizes the recent progress obtained in the field of the temperature performance of crystalline and amorphous silicon solar cells and modules. Various authors have modeled the temperature of a PV module by evaluation of energy inputs and outputs through radiation, convection, conduction and power generated. The energy balance of photovoltaic cells is modeled based on climate variables by Jones et al. [10]. Module temperature change is shown to be in a non-steady state with respect to time. A one dimensional heat transfer model was derived by Davis et al [11] to improve upon the NOCT model. Garg et al [12,13] have developed a computer simulation model for predicting the steady state and transient performance of a conventional photovoltaic/thermal (PV/T) air heating collector with single — and double-glass configurations. Lee et al. [14] concerns the development of a thermal model to predict the temperature profile of a typical building integrated PV roof and comparison of the performance of this model to that of the simplified model for flat-plate PV arrays presented by Fuentes.

In the present case, the energy flows among the elements of the CPV receiver and the surroundings are described in the thermal network drawn in Fig. 2. The goal of this network is to evaluate the solar cells temperature immersed in silicone oil. The solar cells temperature is critical to estimating the electrical production.