Multi-Objective Optimal Design of Stationary Flat-Plate Solar Collectors Under Probabilistic Uncertainty

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Abstract
The multi-objective optimum design of stationary flat-plate solar collectors under probabilistic uncertainty is considered. The clear day solar beam radiation and diffuse radiation at the location of the solar collector are estimated. Three objectives are considered in the optimization problem formulation: maximization of the annual average incident solar energy, maximization of the lowest month incident solar energy, and minimization of the cost. The game theory methodology is used for the solution of the three objective constrained optimization problem. A parametric study is conducted with respect to changes in the standard deviation of the mean values of random variables and probability of constraint satisfaction. The present study is expected to help designers in creating optimized solar collectors based on specified requirements.