Numerical Modeling of Photovoltaic Cells with the Meshless Global Radial Basis Function Collocation Method

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dc.authorid0000-0002-0428-3197
dc.authorid0000-0001-5238-6011
dc.contributor.authorIspir, Murat
dc.contributor.authorTanbay, Tayfun
dc.date.accessioned2026-02-08T15:15:56Z
dc.date.available2026-02-08T15:15:56Z
dc.date.issued2025
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractAccurate prediction of photovoltaic performance hinges on resolving the electron density in the P-region and the hole density in the N-region. Motivated by this need, we present a comprehensive assessment of a meshless global radial basis function (RBF) collocation strategy for the steady current continuity equation, covering a one-dimensional two-region P-N junction and a two-dimensional single-region problem. The study employs Gaussian (GA) and generalized multiquadric (GMQ) bases, systematically varying shape parameter and node density, and presents a detailed performance analysis of the meshless method. Results map the accuracy-stability-computation-time landscape: GA achieves faster convergence but over a narrower stability window, whereas GMQ exhibits greater robustness to shape-parameter variation. We identify stability plateaus that preserve accuracy without severe ill-conditioning and quantify the runtime growth inherent to dense global collocation. A utopia-point multi-objective optimization balances error and computation time to yield practical node-count guidance; for the two-dimensional case with equal weighting, an optimum of 19 intervals per side emerges, largely insensitive to the RBF choice. Collectively, the results establish global RBF collocation as a meshless, accurate, and systematically optimizable alternative to conventional mesh-based solvers for high-fidelity carrier-density prediction in P-N junctions, thereby enabling more reliable performance analysis and design of photovoltaic devices.
dc.identifier.doi10.3390/en18195267
dc.identifier.issn1996-1073
dc.identifier.issue19
dc.identifier.scopus2-s2.0-105019180417
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/en18195267
dc.identifier.urihttps://hdl.handle.net/20.500.12885/6049
dc.identifier.volume18
dc.identifier.wosWOS:001593580500001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofEnergies
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzWOS_KA_20260207
dc.subjectphotovoltaic cell
dc.subjectcarrier continuity equation
dc.subjectmeshless method
dc.subjectRBF collocation
dc.titleNumerical Modeling of Photovoltaic Cells with the Meshless Global Radial Basis Function Collocation Method
dc.typeArticle

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