Availability comparison between three dissimi-lar photovoltaic configurations

Authors

  • Suleiman K Department of Mathematics Federal University, Dutse,
  • Ibrahim Yusuf Bayero University, Kano, Nigeria
  • U.A. Ali Department of Mathematics Federal University, Dutse,
  • A. D Koko Department of Mathematics, Usmanu Danfodiyo University, Sokoto
  • Saminu I Bala Department of Mathematical Sciences, Bayero University Kano

DOI:

https://doi.org/10.14419/ijamr.v6i3.7812

Published:

2017-06-09

Keywords:

Availability, Redundancy, Solar Photovoltaic System.

Abstract

The paper deals with availability comparison between three dissimilar photovoltaic configurations using Markov Birth-Death process and probabilistic approach. The configurations consist of four subsystems arranged in series-parallel with three possible states; working with full capacity, reduced capacity and failed. Through the transition diagrams, systems of differential equations are developed and solved recur-sively via probabilistic approach. Explicit expressions for steady-state availability are derived. Availability matrices for each subsystem have been developed to provide various performance values for different combinations of failure and repair rates of all subsystems. Furthermore, we compare the availability for the three configurations and find that configuration III is more reliable than system, I and II. The results have shown that the system availability increases with increase in redundant units. The results of this paper will enhance the system performance and useful for timely execution of proper maintenance improvement, decision, planning and optimization.

Author Biography

Ibrahim Yusuf, Bayero University, Kano, Nigeria

Department of Mathematical Sciences

Lecturer II

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