Title: Performance modelling and enhancement of solar water pumping system using Gumbel-Hougaard family copula

Authors: Ibrahim Yusuf; Mus'abu Musa; Abdullahi Sanusi

Addresses: Department of Mathematical Sciences, Bayero University Kano, Nigeria ' Department of Mathematics, Faculty of Physical Sciences, Kebbi State University of Science and Technology, Aliero, Kebbi State, Nigeria; Department of Mathematics and Statistics, College of Natural and Applied Sciences, Alqalam University Katsina, Katsina State, Nigeria ' Department of Science, School of Continuing Education, Bayero University Kano, Nigeria

Abstract: The importance of the solar water pumping system cannot be overstated, as it is employed in both the home and industrial setting. This study provides an overview of the solar water pumping system's performance and its components. The system consists of four major components: solar panel, inverter, pumping machine and tank. A partial or complete failure of the system is possible, if the system has partial failure, it is fixed by using general repair techniques and complete failure is mended by using copula repair techniques. The system is investigated using the supplementary variable techniques and the Laplace transformation to obtain explicit expressions for availability, reliability, mean time to failure (MTTF), sensitivity, and expected profit functions, all of which are numerically validated. The numerical results are presented in tables and graphs. On the basis of numerical results, the conclusions were drawn. The findings of this study will aid maintenance managers in determining the appropriate time and technique for a system's maintenance.

Keywords: availability; copula; enhancement; modelling; performance; solar; system.

DOI: 10.1504/IJMOR.2023.134492

International Journal of Mathematics in Operational Research, 2023 Vol.26 No.2, pp.200 - 230

Received: 06 Aug 2022
Accepted: 16 Aug 2022

Published online: 24 Oct 2023 *

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