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

[+] Author and Article Information
Singiresu S. Rao

Department of Mechanical and Aerospace Engineering, University of Miami, 1251 Memorial Drive, Coral Gables, FL 33124-0624srao@miami.edu

Yi Hu

Department of Mechanical and Aerospace Engineering, University of Miami, 1251 Memorial Drive, Coral Gables, FL 33124-0624yi.hu@miami.edu

J. Mech. Des 132(9), 094501 (Sep 03, 2010) (6 pages) doi:10.1115/1.4002133 History: Received April 05, 2010; Revised June 08, 2010; Published September 03, 2010; Online September 03, 2010

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.

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Copyright © 2010 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Multirow flat plate solar collectors in a given area

Grahic Jump Location
Figure 2

Variation of objective functions in probabilistic multi-objective optimization

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