Numerical calculation of series and shunt resistance of a photovoltaic cell using the Lambert W-function: Experimental evaluation

Faisal Ghani, M. Duke, J. K. Carson

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)

Abstract

The values of series and shunt resistances play an important role in the modelling behaviour of a photovoltaic cell. The authors proposed in earlier work a new method to determine these values numerically at maximum power point using the Newton-Raphson method and equations based on the Lambert W-function. Here, an experimental investigation has been carried out to further validate this method and observe its behaviour over the entire current-voltage curve. Current-voltage curves from a single multi-crystalline cell were obtained under outdoor testing in Hamilton, New Zealand under three levels of illumination (800, 900, and 1000W/m2). In addition to the method of Ghani and Duke (2011), two other methods were also used to calculate series and shunt resistances based on the parameters extracted from the experimental data. A comparative study of each methods output current vector using a root mean square error analysis revealed that greatest accuracy was achieved with the proposed approach.

Original languageEnglish
Pages (from-to)246-253
Number of pages8
JournalSolar Energy
Volume87
DOIs
Publication statusPublished - Jan 2013

Keywords

  • Lambert W-function
  • Numerical calculation
  • Photovoltaic parameters
  • Series resistance
  • Shunt resistance
  • Solar modelling

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Materials Science(all)

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