Markov Modeling and Reliability analysis of solar photovoltaic system Using Gumbel Hougaard Family Copula

Document Type : Original Research Article


1 Department of Mathematics, Sokoto State University, Sokoto, Nigeria

2 Department of Mathematical Sciences, Bayero University, Kano, Nigeria



    The present work illustrated the reliability analysis of solar photovoltaic systems and the efficiency of medium grid-connected photovoltaic (PV) power systems with 1-out of- 2 PV panels, one out of one charge controller, 1- out of 3 batteries, 1- out of 2 inverters and one out one Distributor. The units that comprise the solar were studied. Gumbel Hougaard Family Copula method was used to evaluate the performances of solar photovoltaics. Other reliability metrics were investigated, including availability, mean time to failure, and sensitivity analysis. The numerical result was generated using the Maple 13 software. The numerical results were presented in tables, with graphs to go along with them. Failure rates and their effects on various solar photovoltaic subsystems were investigated. Numerical examples are provided to demonstrate the obtained results and to assess the influence of various system characteristics. The current research could aid companies, and their repairers overcome some issues that specific manufacturing and industrial systems repairers face.


Main Subjects

Volume 4, Issue 2
December 2021
Pages 47-58
  • Receive Date: 23 May 2022
  • Revise Date: 05 July 2022
  • Accept Date: 06 July 2022
  • First Publish Date: 06 July 2022