Title: Reliability and performance analysis of a series-parallel photovoltaic system with human operators using Gumbel-Hougaard family copula

Authors: Anas Sani Maihulla; Ibrahim Yusuf; Saminu Iliyasu Bala

Addresses: Department of Mathematics, Sokoto State University, Sokoto, Nigeria; Department of Mathematical Sciences, Bayero University, Kano, Nigeria ' Department of Mathematical Sciences, Bayero University, Kano, Nigeria ' Department of Mathematical Sciences, Bayero University, Kano, Nigeria

Abstract: This study offers a complete technique for evaluating the reliability efficiency of medium grid-connected photovoltaic (PV) power systems with two out of three PV panels, one out of two charge controller, two out of two batteries and one out of two inverters. State enumeration is used to examine real-world grid-connected PV systems. A set of reliability indices is defined to assess the dependability performance of PV systems. The system's dependability and availability were analysed and visually shown, as were the sensitivity parameters. The Gumbel-Haugaard family copula approach is used to create and solve Chapmen-Kolmogorov differential equations. There include numerical numbers for availability, reliability, mean time to failure (MTTF), cost analysis, and sensitivity analysis. The implications of failure rates on different solar photovoltaic subsystems were studied. To demonstrate the acquired results and to assess the influence of various system characteristics, numerical examples are provided. The current study may help companies and their repairers overcome some of the problems that repairers of specific manufacturing and industrial systems confront.

Keywords: sensitivity; subsystems; reliability; charge controller; availability.

DOI: 10.1504/IJMOR.2023.128637

International Journal of Mathematics in Operational Research, 2023 Vol.24 No.1, pp.29 - 52

Received: 11 Jun 2021
Accepted: 18 Nov 2021
Published online: 31 Jan 2023 *