Identification of parameters in photovoltaic models through a runge kutta optimizer

Hassan Shaban, Essam H. Houssein (Corresponding Author), Marco Pérez-Cisneros (Corresponding Author), Diego Oliva (Corresponding Author), Amir Y. Hassan, Alaa A.K. Ismaeel, Diaa Salama Abdelminaam, Sanchari Deb, Mokhtar Said

Research output: Contribution to journalArticleScientificpeer-review

52 Citations (Scopus)
86 Downloads (Pure)


Recently, the resources of renewable energy have been in intensive use due to their environmental and technical merits. The identification of unknown parameters in photovoltaic (PV) models is one of the main issues in simulation and modeling of renewable energy sources. Due to the random behavior of weather, the change in output current from a PV model is nonlinear. In this regard, a new optimization algorithm called Runge–Kutta optimizer (RUN) is applied for estimating the parameters of three PV models. The RUN algorithm is applied for the R.T.C France solar cell, as a case study. Moreover, the root mean square error (RMSE) between the calculated and measured current is used as the objective function for identifying solar cell parameters. The proposed RUN algorithm is superior compared with the Hunger Games Search (HGS) algorithm, the Chameleon Swarm Algorithm (CSA), the Tunicate Swarm Algorithm (TSA), Harris Hawk’s Optimization (HHO), the Sine–Cosine Algorithm (SCA) and the Grey Wolf Optimization (GWO) algorithm. Three solar cell models—single diode, double diode and triple diode solar cell models (SDSCM, DDSCM and TDSCM)—are applied to check the performance of the RUN algorithm to extract the parameters. the best RMSE from the RUN algorithm is 0.00098624, 0.00098717 and 0.000989133 for SDSCM, DDSCM and TDSCM, respectively.

Original languageEnglish
Article number2313
Number of pages22
Issue number18
Publication statusPublished - 18 Sept 2021
MoE publication typeA1 Journal article-refereed


  • Double diode model
  • Photovoltaic (PV)
  • Runge–Kutta optimizer (RUN)
  • Single diode model
  • Solar energy
  • Three diode model


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