Bilinear reduced order approximate model of parabolic distributed solar collectors

Type
Article

Authors
Elmetennani, Shahrazed
Laleg-Kirati, Taous-Meriem

KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Online Publication Date
2016-03-03

Print Publication Date
2016-06

Date
2016-03-03

Abstract
This paper proposes a novel, low dimensional and accurate approximate model for the distributed parabolic solar collector, by means of a modified gaussian interpolation along the spatial domain. The proposed reduced model, taking the form of a low dimensional bilinear state representation, enables the reproduction of the heat transfer dynamics along the collector tube for system analysis. Moreover, presented as a reduced order bilinear state space model, the well established control theory for this class of systems can be applied. The approximation efficiency has been proven by several simulation tests, which have been performed considering parameters of the Acurex field with real external working conditions. Model accuracy has been evaluated by comparison to the analytical solution of the hyperbolic distributed model and its semi discretized approximation highlighting the benefits of using the proposed numerical scheme. Furthermore, model sensitivity to the different parameters of the gaussian interpolation has been studied.

Citation
Elmetennani, S., & Laleg-Kirati, T. M. (2016). Bilinear reduced order approximate model of parabolic distributed solar collectors. Solar Energy, 131, 71–80. doi:10.1016/j.solener.2016.02.021

Journal
Solar Energy

DOI
10.1016/j.solener.2016.02.021

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