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Stochastic Evaluation of Serial Multi-Purpose Solar System Using Gumbel–Hougaard Family Copula

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Abstract

Considering the high cost and safety risks linked with traditional energy sources such as fossil fuels, hydroelectricity, thermal electricity etc. this made it mandatory for the globe to investigate in renewable energy sector. In line with above mentioned issues, the present study concentrated on a multi-purpose solar system consisting of four subsystems: a solar panel, a controller, two USB charge points and four electric bulb points all merged together in a series–parallel conformation. Components/units failure is constant and in line with exponential function, copula and general repairs are available for the repair of partial and entire system failure. The transition diagram of the system is used to derived the partial differential equations of order one, and solved using supplementary variable and Laplace transformation procedures. Maple software package was used to generate expressions for availability, reliability, mean time to failure, sensitivity and cost. Results were justified using particular examples and presented in tables and figures.

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The authors declared that all data and material supporting the findings of the research are available in the article.

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Authors and Affiliations

  1. Department of Mathematics, Kano State College of Education and Preliminary Studies, Kano, Nigeria

    Abdulkareem Lado Ismail

  2. Department of Mathematics, Aliko Dangote University of Science and Technology, Wudil, Nigeria

    Abdulhadi Aminu

  3. Department of Mathematical Sciences, Bayero University, Kano, Nigeria

    Ibrahim Yusuf

Authors
  1. Abdulkareem Lado Ismail
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  2. Abdulhadi Aminu
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  3. Ibrahim Yusuf
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Contributions

ALI-Developed the model edited the manuscript. AA-Solved the model of the manuscript. IY-Analyzed the model of the munuscript.

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Correspondence to Abdulkareem Lado Ismail.

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Ismail, A.L., Aminu, A. & Yusuf, I. Stochastic Evaluation of Serial Multi-Purpose Solar System Using Gumbel–Hougaard Family Copula. Int. J. Appl. Comput. Math 9, 145 (2023). https://doi.org/10.1007/s40819-023-01625-0

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