Open AccessAvailability comparison between three dissimi-lar photovoltaic configurations
Author(s) -
K Suleiman,
Ibrahim Yusuf,
U. A. Ali,
Abdaleelah Koko,
Saminu I. Bala
Publication year - 2017
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v6i3.7812
Subject(s) - probabilistic logic , photovoltaic system , reliability engineering , markov chain , mathematical optimization , mathematics , markov process , process (computing) , computer science , statistics , engineering , electrical engineering , operating system
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.