Time weighted model reduction of flat plate solar collectors

This paper presents the application of time weighted model reduction using cross gramians on a state space model derived from two partial differential equations representing the instantaneous thermal balance of a differential element of length along the absorber plate and the absorber plate to fl...

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Main Authors: Haja Mohideen, Ahmad Jazlan, Sreeram, Victor, Togneri, Roberto, Bettayeb, Maamar
Format: Proceeding Paper
Language:English
English
Published: IEEE 2014
Subjects:
Online Access:http://irep.iium.edu.my/57734/
http://irep.iium.edu.my/57734/7/57734-Time%20weighted%20model%20reduction%20of%20flat%20plate%20solar%20collectors.pdf
http://irep.iium.edu.my/57734/8/57734-Time%20weighted%20model%20reduction%20of%20flat%20plate%20solar%20collectors_SCOPUS.pdf
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author Haja Mohideen, Ahmad Jazlan
Sreeram, Victor
Togneri, Roberto
Bettayeb, Maamar
author_facet Haja Mohideen, Ahmad Jazlan
Sreeram, Victor
Togneri, Roberto
Bettayeb, Maamar
author_sort Haja Mohideen, Ahmad Jazlan
building IIUM Repository
collection Online Access
description This paper presents the application of time weighted model reduction using cross gramians on a state space model derived from two partial differential equations representing the instantaneous thermal balance of a differential element of length along the absorber plate and the absorber plate to fluid heat convection process respectively of a flat plate solar collector. Finite difference method is applied onto both these partial differential equations where discretization in time and space is performed resulting in a high order linear discrete time invariant Single Input Single Output (SISO) state space model. Numerical results are provided to demonstrate and compare the performance of time weighted model reduction relative to balanced truncation.
first_indexed 2025-11-14T16:46:01Z
format Proceeding Paper
id iium-57734
institution International Islamic University Malaysia
institution_category Local University
language English
English
last_indexed 2025-11-14T16:46:01Z
publishDate 2014
publisher IEEE
recordtype eprints
repository_type Digital Repository
spelling iium-577342017-07-27T03:32:05Z http://irep.iium.edu.my/57734/ Time weighted model reduction of flat plate solar collectors Haja Mohideen, Ahmad Jazlan Sreeram, Victor Togneri, Roberto Bettayeb, Maamar TJ212 Control engineering This paper presents the application of time weighted model reduction using cross gramians on a state space model derived from two partial differential equations representing the instantaneous thermal balance of a differential element of length along the absorber plate and the absorber plate to fluid heat convection process respectively of a flat plate solar collector. Finite difference method is applied onto both these partial differential equations where discretization in time and space is performed resulting in a high order linear discrete time invariant Single Input Single Output (SISO) state space model. Numerical results are provided to demonstrate and compare the performance of time weighted model reduction relative to balanced truncation. IEEE 2014 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/57734/7/57734-Time%20weighted%20model%20reduction%20of%20flat%20plate%20solar%20collectors.pdf application/pdf en http://irep.iium.edu.my/57734/8/57734-Time%20weighted%20model%20reduction%20of%20flat%20plate%20solar%20collectors_SCOPUS.pdf Haja Mohideen, Ahmad Jazlan and Sreeram, Victor and Togneri, Roberto and Bettayeb, Maamar (2014) Time weighted model reduction of flat plate solar collectors. In: Australian Control Conference, AUCC 2014, 17th-18th November 2014, Australian National University, Canberra. http://ieeexplore.ieee.org/document/7358698/
spellingShingle TJ212 Control engineering
Haja Mohideen, Ahmad Jazlan
Sreeram, Victor
Togneri, Roberto
Bettayeb, Maamar
Time weighted model reduction of flat plate solar collectors
title Time weighted model reduction of flat plate solar collectors
title_full Time weighted model reduction of flat plate solar collectors
title_fullStr Time weighted model reduction of flat plate solar collectors
title_full_unstemmed Time weighted model reduction of flat plate solar collectors
title_short Time weighted model reduction of flat plate solar collectors
title_sort time weighted model reduction of flat plate solar collectors
topic TJ212 Control engineering
url http://irep.iium.edu.my/57734/
http://irep.iium.edu.my/57734/
http://irep.iium.edu.my/57734/7/57734-Time%20weighted%20model%20reduction%20of%20flat%20plate%20solar%20collectors.pdf
http://irep.iium.edu.my/57734/8/57734-Time%20weighted%20model%20reduction%20of%20flat%20plate%20solar%20collectors_SCOPUS.pdf