A new approach for the prediction of thermal efficiency in solar receivers

• A new model for thermal efficiency calculation of solar collectors is developed.
• It is derived from the complete differential equation for any technology.
• Accurately capture the results of numerical models avoiding iteration process.
• Two new critical parameters are defined to be considered for design.
• Some relevant aspects for design arise from its application to PTC.

Optimization of solar concentration receiver designs requires of models that characterize thermal balance at receiver wall. This problem depends on external heat transfer coefficients that are a function of the third power of the temperature at the absorber wall. This nonlinearity introduces a difficulty in obtaining analytical solutions for the balance differential equations. So, nowadays, several approximations consider these heat transfer coefficients as a constant or suggest a linear dependence. These hypotheses suppose an important limitation for their application.This paper describes a new approach that allows the use of an analytical expression obtained from the heat balance differential equation. Two simplifications based on this model can be made in order to obtain other much simpler equations that adequately characterize collector performance for the majority of solar technologies. These new equations allow the explicit calculation of the efficiency as a function of some characteristic parameters of the receiver. This explicit calculation introduces some advantages in the receiver optimization process because iteration processes are avoided during the calculations. Validation of the proposed models was made by the use of the experimental measurements reported by Sandia National Laboratories (SNL) for the trough collector design LS-2.