Model order reduction applied to heat conduction in photovoltaic modules. (January 2015)

• Record Type: Journal Article
• Authors: Ojo, S.O.; Grivet-Talocia, S.; Paggi, M.
• Is Part Of: Composite structures. Volume 119(2015)
• Page Start: 477
• Page End: 486
• Publication Date: 2015-01
• Subjects: Photovoltaics -- Thermal system -- Model order reduction -- Numerical methods; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2014.09.008
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: Modeling of physical systems may be a challenging task when it requires solving large sets of numerical equations. This is the case of photovoltaic (PV) systems which contain many PV modules, each module containing several silicon cells. The determination of the temperature field in the modules leads to large scale systems, which may be computationally expensive to solve. In this context, Model Order Reduction (MOR) techniques can be used to approximate the full system dynamics with a compact model, that is much faster to solve. Among the several available MOR approaches, in this work we consider the Discrete Empirical Interpolation Method (DEIM), which we apply with a suitably modified formulation that is specifically designed for handling the nonlinear terms that are present in the equations governing the thermal behavior of PV modules. The results show that the proposed DEIM technique is able to reduce significantly the system size, by retaining a full control on the accuracy of the solution.