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Model reduction of flat-plate solar collector using time-space discretization

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3 Author(s)
Nabag, M. ; Dept. of Electr. & Comput. Eng., Univ. of Sharjah, Sharjah, United Arab Emirates ; Al-Radhawi, M.A. ; Bettayeb, M.

Three model reduction schemes, namely, balanced truncation, singular perturbation balanced truncation, and Hankel norm approximation are used to develop a reduced-order model to the partial differential system representing the dynamic behavior of the flat-plate solar collector system. To get a tractable finite-dimensional model instead of the infinite-dimensional model, the finite difference method is applied to the PDEs where a discretization of both time and space will result in a high-order linear time-invariant discrete state-space model. Then, a reduced-order model is computed via the three aforementioned schemes from the resultant high-order model. A substantial order reduction is shown to be possible and the obtained discrete reduced-order models are tractable for the purposes of simulation and control via digital controllers.

Published in:

Energy Conference and Exhibition (EnergyCon), 2010 IEEE International

Date of Conference:

18-22 Dec. 2010