On the problem formulation for parameter extraction of the photovoltaic model: Novel integration of hybrid evolutionary algorithm and Levenberg Marquardt based on adaptive damping parameter formula

Hussein Mohammed Ridha, Hashim Hizam, Seyedali Mirjalili, Mohammad Lutfi Othman, Mohammad Effendy Ya'acob, Masoud Ahmadipour, Nooruldeen Q. Ismaeel

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The estimation of the unknown parameters of the photovoltaic (PV) model is crucial for accurately verifying its real performance precisely under a wide range of climatic conditions. This paper presents an approach to determine the nine parameters of the three diode (TD) PV model based on the integration of the guaranteed convergence arithmetic optimization algorithm and Levenberg-Marquardt with adaptive damping nonlinear parameter method named as GCAOAAdLM. The keystone of the GCAOAAdLM model is accomplished by efficaciously enhancing the exploiter-explorer tendency with inclusion of various powerful hybrid strategies in terms the methodology itself. In addition, the objective function is newly designed leveraging on Levenberg-Marquardt with adaptive damping parameter method to accurately determine the initial roots parameters of the TD PV model. The experimental results demonstrate that the proposed GCAOAAdLM can reduce the root mean square error (RMSE), mean bias error (MBE), deviation of solar radiation's levels (di), test statistical (TS), and absolute error (AE) to zero and the determination coefficient (R2) to 1 for all environmental conditions, with statistical reasons and comparisons against well-published approaches available in the literature.

Original languageEnglish
Article number115403
JournalEnergy Conversion and Management
Volume256
DOIs
Publication statusPublished - 15 Mar 2022

Keywords

  • Arithmetic optimization algorithm
  • Lambert W function
  • Levenberg-Marquardt
  • Newton Raphson
  • Optimization
  • Photovoltaic cell

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