Game-theory approach for multi-objective optimal design of stationary flat-plate solar collectors

2009 ◽  
Vol 41 (11) ◽  
pp. 1017-1035 ◽  
Author(s):  
Yi Hu ◽  
Singiresu S. Rao
Keyword(s):  
Game Theory ◽  
Optimal Design ◽  
Flat Plate ◽  
Theory Approach ◽  
Solar Collectors ◽  
Multi Objective

Optimization of Stationary Flat-Plate Solar Collectors

2015 ◽  
Author(s):  
Singiresu S. Rao
Keyword(s):  
Game Theory ◽  
Solar Energy ◽  
Flat Plate ◽  
Solar Collector ◽  
Probabilistic Approach ◽  
Design Parameters ◽  
Theory Approach ◽  
Solar Collectors ◽  
Beam Radiation ◽  
The Game Theory

The optimum design of stationary flat-plate solar collectors is considered using the game theory approach for multiple objectives. 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 solution represents the best compromise in terms of the supercriterion selected. Because some design parameters such as solar constant, altitude, typical day of each month and most of the design variables are not precisely known, a probabilistic approach is also proposed in this work. The results obtained by the determinist and probabilistic approaches are compared. It is found that the absolute value of each objective function decreases with an increase in either the probability of constraint satisfaction or the coefficient of variation of the random variables. This work represents the first work aimed at the application of multi-objective optimization strategy, particularly the game theory approach, for the solution of the solar collector design problem.

Maximization of Exergy Output From Volumetric Absorption Solar Collectors

2003 ◽  
Vol 125 (1) ◽  
pp. 83-86 ◽  
Author(s):  
Alejandro London˜o-Hurtado ◽  
Alejandro Rivera-Alvarez
Keyword(s):  
Optimal Design ◽  
Flat Plate ◽  
Physical Significance ◽  
Design Parameters ◽  
Thermodynamic Optimization ◽  
Solar Collectors ◽  
Dimensionless Numbers

A model has been developed to study the behavior of Volumetric Absorption Solar Collectors (VASC) and the influence of the design parameters on the performance of the collector. The model’s approach is based on the use of several dimensionless numbers, each of them having a clear physical significance, which play a key role in the analysis of the collector. The model is then used to conduct a thermodynamic optimization of VASC, which gives the optimal design parameters that maximize the exergy output of the heat extracted from the collector. The results agree with the findings made by other authors who have studied flat plate solar collectors.

The Game Theory Approach for Solving the Hierarchical and Decentralized Bi-Level Problem

2013 ◽  
Author(s):  
Ehsan Ghotbi ◽  
Anoop K. Dhingra
Keyword(s):  
Game Theory ◽  
Numerical Approach ◽  
Theory Approach ◽  
Objective Functions ◽  
Nash Game ◽  
Multi Objective ◽  
The Game Theory ◽  
Level Problem ◽  
Upper Level ◽  
Rational Reaction Set

This paper presents a game theory approach to solve two types op problem, hierarchical and decentralized bi-level multi-objective problem with multiple objective functions at the upper level and multiple players at the lower level. The sensitivity based approach is applied for numerical approach. A sensitivity based algorithm is proposed to the Hierarchical and decentralized bi-level multi-objective problem. Two scenarios are studied in this paper for modeling the decentralized bi-level multi-objective problem. The first scenario considers the cooperative game as interaction between the players at upper level and the lower level individually. The interaction between the upper and lower level is considered as Stackelberg. On the second scenario, the interaction in the lower level is modeled by Nash game. The sensitivity based method has been used to provide an approximation to the rational reaction set (RRS) for each player. An alternate approach for generating the RRS based on design of experiments (DOE) combined with response surface methodology (RSM) is also explored. Two numerical examples are given to demonstrate the proposed algorithm for the both scenario. It is seen that the proposed sensitivity based approach is able to approximate non linear RRS. For the hierarchical approach, one numerical example is studied to show the application of the algorithm.

Multilevel Optimal Design of a Solar PV Array System Using Game Theory Approach

2019 ◽  
Author(s):  
Hoe-Gil Lee
Keyword(s):  
Game Theory ◽  
Decision Making ◽  
Optimal Design ◽  
System Level ◽  
Theory Approach ◽  
Solar Pv ◽  
Fixed Plate ◽  
Collector System ◽  
Cell Conversion ◽  
Conflicting Objectives

Abstract This study proposes a method, grounded in a multilevel decision-making approach, for a stationary fixed-plate photovoltaic (PV) collector system. The system is comprised of three different subsystems: cell, panel, and array. We consider photovoltaic effects for output performance and an inverter system for distribution from the PV collector, including multiple conflicting objectives in individual subsystems in terms of cell conversion efficiency, power output, incident solar energy, seasonal characteristics, and costs. In terms of the performance in individual subsystems, the problem is reformulated into several smaller subproblems at each subsystem, and a coordination problem at the system level is compromised for optimization purposes. Multilevel optimization for the stationary fixed-plate PV collector system is achieved through the results of single-objective optimization that uses Genetic Algorithm programming (GA) to find global optimum solutions with decision-making under modified game theory. Thus, this work contributes to the optimal design of a stationary fixed-plate PV collector system for the best compromise solution based on specified requirements.

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

2010 ◽  
Vol 132 (9) ◽  
Author(s):  
Singiresu S. Rao ◽  
Yi Hu
Keyword(s):  
Solar Energy ◽  
Flat Plate ◽  
Optimization Problem ◽  
Diffuse Radiation ◽  
Problem Formulation ◽  
Solar Collectors ◽  
Beam Radiation ◽  
Mean Values ◽  
Probabilistic Uncertainty ◽  
Multi Objective

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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