Reliability and Performance Analysis of a Series-Parallel System Using Gumbel–Hougaard Family Copula

Anas Sani Maihulla; Ibrahim Yusuf; Saminu I. Bala

doi:10.47852/bonviewJCCE2022010101

Authors

Anas Sani Maihulla Department of Mathematics, Sokoto State University, Nigeria and Department of Mathematical Sciences, Bayero University, Nigeria https://orcid.org/0000-0002-1197-9694
Ibrahim Yusuf Department of Mathematical Sciences, Bayero University, Nigeria https://orcid.org/0000-0002-4849-0163
Saminu I. Bala Department of Mathematical Sciences, Bayero University, Nigeria

DOI:

https://doi.org/10.47852/bonviewJCCE2022010101

Keywords:

strength, parallel, reliability, subsystem, availability, switch

Abstract

This research looks into the reliability metrics that are used to assess the strength of a solar system’s serial system, which is made up of four subsystems. Each subsystem consists of two parallel active components: two out of two photo-voltaic panels, one of two charge controllers, two of two batteries, and one of two inverters. Both the charge controller and the inverter have two human operators or switches. The Gumbel–Hougaard copula family was used to produce formulations of system dependability metrics such as reliability, mean time to failure (MTTF), availability, and profit function. Numerical examples are presented to show the obtained results and to investigate the impact of various system characteristics. The new study might help homes overcome some of the problems experienced by electric generation systems operating in hostile locations or under adverse weather conditions. A new model was developed, and solar photovoltaic system’s subsystems were analyzed in order to identify the most essential component. It was also indicated how to improve the system.

Received: 8 August 2021 | Revised: 14 October 2021 | Accepted: 17 October 2021

Conflicts of Interest

The authors declare that they have no conflicts of interest to this work.