In this paper, an online estimation algorithm of the source term in a first-order hyperbolic partial differential equation (PDE) is proposed. This equation describes heat transport dynamics in concentrated solar collectors where the source term represents the received energy. This energy depends on the solar irradiance intensity and the collector characteristics affected by the environmental changes. Control strategies are usually used to enhance the efficiency of heat production; however, these strategies often depend on the source term which is highly affected by the external working conditions. Hence, efficient source estimation methods are required. The proposed algorithm is based on modulating functions method (MFM) where a moving-horizon strategy is introduced. Numerical results are provided to illustrate the performance of the proposed estimator in open-and closed-loops.
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December 2017
Research-Article
Moving-Horizon Modulating Functions-Based Algorithm for Online Source Estimation in a First-Order Hyperbolic Partial Differential Equation
Sharefa Asiri,
Sharefa Asiri
Computer, Electrical and Mathematical Science
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: sharefa.asiri@kaust.edu.sa
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: sharefa.asiri@kaust.edu.sa
Search for other works by this author on:
Shahrazed Elmetennani,
Shahrazed Elmetennani
Computer, Electrical and Mathematical Science
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: shahrazed.elmetennani@kaust.edu.sa
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: shahrazed.elmetennani@kaust.edu.sa
Search for other works by this author on:
Taous-Meriem Laleg-Kirati
Taous-Meriem Laleg-Kirati
Computer, Electrical and Mathematical Science
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: taousmeriem.laleg@kaust.edu.sa
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: taousmeriem.laleg@kaust.edu.sa
Search for other works by this author on:
Sharefa Asiri
Computer, Electrical and Mathematical Science
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: sharefa.asiri@kaust.edu.sa
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: sharefa.asiri@kaust.edu.sa
Shahrazed Elmetennani
Computer, Electrical and Mathematical Science
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: shahrazed.elmetennani@kaust.edu.sa
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: shahrazed.elmetennani@kaust.edu.sa
Taous-Meriem Laleg-Kirati
Computer, Electrical and Mathematical Science
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: taousmeriem.laleg@kaust.edu.sa
and Engineering Division (CEMSE),
King Abdullah University of Science and
Technology (KAUST),
Thuwal 23955-6900, Saudi Arabia
e-mail: taousmeriem.laleg@kaust.edu.sa
1Corresponding author.
Contributed by the Solar Energy Division of ASME for publication in the JOURNAL OF SOLAR ENERGY ENGINEERING: INCLUDING WIND ENERGY AND BUILDING ENERGY CONSERVATION. Manuscript received October 23, 2016; final manuscript received August 8, 2017; published online September 28, 2017. Assoc. Editor: M. Keith Sharp.
J. Sol. Energy Eng. Dec 2017, 139(6): 061007 (7 pages)
Published Online: September 28, 2017
Article history
Received:
October 23, 2016
Revised:
August 8, 2017
Citation
Asiri, S., Elmetennani, S., and Laleg-Kirati, T. (September 28, 2017). "Moving-Horizon Modulating Functions-Based Algorithm for Online Source Estimation in a First-Order Hyperbolic Partial Differential Equation." ASME. J. Sol. Energy Eng. December 2017; 139(6): 061007. https://doi.org/10.1115/1.4037743
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