scholarly journals Optimal control of a parabolic solar collector

2019 ◽  
Vol Volume 30 - 2019 - MADEV... ◽  
Author(s):  
Nihale El Boukhari ◽  
El Hassan Zerrik
Keyword(s):  
Heat Transfer ◽  
Optimal Control ◽  
Optimal Control Problem ◽  
Solar Collector ◽  
Heat Transfer Fluid ◽  
Distributed Model ◽  
Necessary Optimality Condition ◽  
Solar Plant ◽  
Using Data ◽  
Simulations Numériques

The aim of this paper is to study an optimal control problem for a parabolic solar collector. We consider a bilinear distributed model, where the control models the velocity of the heat-transfer fluid. We prove the existence of an optimal control, and we derive a necessary optimality condition. Then we give an algorithm for the computation of the optimal control. The obtained results are illustrated by simulations of the collector model, using data of Ain Beni Mathar solar plant in Morocco. L’objet de cet article est d’étudier un problème de contrôle optimal d’un collecteur solaire parabolique. On considère un modèle bilinéaire distribué, où le contrôle modélise la vitesse du fluide caloporteur. On démontre l’existence d’un contrôle optimal, et on établit une condition nécessaire d’optimalité. Ensuite, on donne un algorithme pour l’implémentation numérique du contrôle optimal. Les résultats obtenus sont illustrés à travers des simulations numériques, en utilisant les données de la station solaire Ain Beni Mathar au Maroc.

scholarly journals Optimal Control Problem for Cholera Disease and Cost-Effectiveness Analysis

2021 ◽  
Vol 53 (2) ◽  
pp. 200-2017
Author(s):  
Jhoana Patricia Romero-Leiton ◽  
Muhammad Ozair ◽  
Takasar Hussaing
Keyword(s):  
Optimal Control ◽  
Cost Effectiveness ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Control Strategies ◽  
Cost Effectiveness Analysis ◽  
Effectiveness Analysis ◽  
Using Data ◽  
Theoretical Results

Cholera is a disease that continues to be a threat to public health globally and is an indicator of inequity and lack of social development in countries. For this reason, strategies for its control need to be investigated. In this work, an optimal control problem related to cholera disease was formulated by introducing personal protection, drug treatment and water sanitation as control strategies. First, the existence and characterization of controls to minimize the performance index or cost function was proved by using classic control theory. Then, the theoretical results were validated with numerical experiments by using data reported in the literature. Finally, the effectiveness and efficiency of the proposed controls were determined through a cost-effectiveness analysis. The results showed that the use of the three controls simultaneously is the cheapest and most effective strategy to control the disease.

scholarly journals Necessary optimality condition for the singular controls in an optimal control problem with nonlocal conditions

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 749-757
Author(s):  
Ali Safari ◽  
Yagub Sharifov ◽  
Yusif Gasimov
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Nonlocal Conditions ◽  
Integral Boundary Conditions ◽  
Necessary Optimality Condition ◽  
Integral Boundary ◽  
Singular Controls ◽  
The Cauchy Problem ◽  
Continue Investigation

In this paper, we continue investigation of the problem considered in our earlier works. The paper deals with an optimal control problem for an ordinary differential equation with integral boundary conditions that generalizes the Cauchy problem. The problem is investigated the case when Pontryagin?s maximum principle is degenerate. Moreover, the second order optimality conditions are derived for the considered problem.

Boundary optimal control problem of complex heat transfer model

2016 ◽  
Vol 433 (2) ◽  
pp. 1243-1260 ◽  
Author(s):  
Gleb V. Grenkin ◽  
Alexander Yu. Chebotarev ◽  
Andrey E. Kovtanyuk ◽  
Nikolai D. Botkin ◽  
Karl-Heinz Hoffmann
Keyword(s):  
Heat Transfer ◽  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Heat Transfer Model ◽  
Transfer Model ◽  
Complex Heat Transfer

scholarly journals Performance evaluation of nanofluid on parabolic trough solar collector

2020 ◽  
Vol 24 (2 Part A) ◽  
pp. 853-864 ◽  
Author(s):  
Gopalsamy Vijayan ◽  
Karunakaran Rajasekaran
Keyword(s):  
Heat Transfer ◽  
Aluminum Oxide ◽  
Solar Collector ◽  
Focal Point ◽  
Deionized Water ◽  
Hot Water ◽  
Heat Transfer Fluid ◽  
Maximum Efficiency ◽  
Parabolic Trough ◽  
Parabolic Trough Solar Collector

In the present work, the performance of aluminum oxide and deionized water nanofluid used as heat transfer fluid on a parabolic trough solar collector system with hot water generation tank is evaluated. The parabolic trough solar collector is developed using easily and locally accessible materials. Five different concentrations of aluminum oxide and deionized water based nanofluid from 0.5-2.5% is prepared by the magnetic stirrer initially and then the mixture is subjected to ultrasonication process to break aggregates with the absence of surfactant. The prepared nanofluids are allowed to flow through the absorber which is located at a focal point of the solar collector. The performance of nanofluid is compared with pure deionized water. The test is conducted from 8.00 a. m. to 16.00 p. m. daily in the whole length of the test span. The heat transfer fluid is allowed to flow at a mass-flow rate of 0.020 kg/s and 0.09246 m/s velocities. The maximum solar radiation is 821 W/m2, and maximum efficiency is observed at noon time 60.41% for deionized water and 60.49% for 2.5% volumetric fraction of alumina nanofluid. The efficiency enhancement was 3.90% than deionized water. The influence of the critical parameter on the performance is also examined.

scholarly journals Numerical Performance Investigation of Parabolic Dish Solar-Assisted Cogeneration Plant Using Different Heat Transfer Fluids

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Muhammad Sajid Khan ◽  
Muhammad Abid ◽  
Khuram Pervez Amber ◽  
Hafiz Muhammad Ali ◽  
Mi Yan ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Solar Collector ◽  
Integrated System ◽  
Operating Conditions ◽  
Heat Transfer Fluid ◽  
Working Fluid ◽  
Inlet Temperature ◽  
Pressurized Water ◽  
Parabolic Dish ◽  
Process Heating

Parabolic dish solar collectors gain higher solar to thermal conversion efficiency due to their maximum concentration ratio. The present research focuses by integrating the parabolic dish solar collector to the steam cycle producing power and rate of process heating. Pressurized water, therminol VP1, and supercritical carbon dioxide are the examined working fluids in the parabolic dish solar collector. The aim of the current research is to observe the optimal operating conditions for each heat transfer fluid by varying inlet temperature and flow rate of the working fluid in the parabolic dish solar collector, and combination of these parameters is predicted to lead to the maximum energy and exergy efficiencies of the collector. The operating parameters are varied to investigate the overall system efficiencies, work output, and process heating rate. Findings of the study declare that water is an efficient heat transfer fluid at low temperature levels, whereas therminol VP1 is effective for a higher temperature range. The integrated system efficiencies are higher at maximum flow rates and low inlet temperatures. The efficiency map of solar collector is located at the end of study, and it shows that maximum exergy efficiency gains at inlet temperature of 750 K and it is observed to be 37.75%.

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