Parameter estimation for photovoltaic systems: An enhanced Broyden-like approach

Isaac  Azure; Stephen B.  Twum; Baba Seidu

doi:10.59400/jam.v2i3.1437

Parameter estimation for photovoltaic systems: An enhanced Broyden-like approach

Isaac Azure Mathematics Department, University for Development Studies, Tamale P. O. Box TL1350, Ghana
Stephen B. Twum Mathematics Department, C.K. Tedam University of Technology and Applied Sciences, Navrongo CKT-UTAS Box 24, Ghana
Baba Seidu Mathematics Department, C.K. Tedam University of Technology and Applied Sciences, Navrongo CKT-UTAS Box 24, Ghana

Ariticle ID: 1437

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DOI: https://doi.org/10.59400/jam.v2i3.1437

Keywords: photovoltaic system; solar energy; quadrature rules; single diode; power output; mathematical model; current; voltage

Abstract

Solar energy, specifically photovoltaic systems, has emerged as a prevalent source of electrical power worldwide, gaining acceptance on many continents. While numerous African countries are gradually embracing this alternative energy due to abundant sunlight, the high cost of solar panels and accessories remains a barrier to widespread adoption. This study focuses on refining recently developed iterative methods, leveraging quadrature rules of integration, to accurately estimate parameters in the design of photovoltaic (PV) systems for predetermined power outputs under diverse environmental conditions. The research compares these methods, particularly the authors’ MS-3/8 and TS-3/8 approaches, with the commonly used Newton-Raphson method. In the examination, a 10 W PV system with a single diode PV module is considered. Results indicate that the MS-3/8 method demonstrates greater efficiency and requires fewer iterations to converge to the estimated power output of the PV system compared to the Newton-Raphson method and other approaches by different authors. Ultimately, the research introduces a suggested mathematical model for a Four-Diode PV system, offering an alternative method for determining the parameters of the photovoltaic system.

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Published

2024-08-01

How to Cite

Azure, I., Twum, S. B., & Seidu, B. (2024). Parameter estimation for photovoltaic systems: An enhanced Broyden-like approach. Journal of AppliedMath, 2(3), 1437. https://doi.org/10.59400/jam.v2i3.1437

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