CFP last date
22 April 2024
Reseach Article

Reliability Modeling of a Solar Photovoltaic System using Supplementary Variable Technique

by Indeewar Kumar, Ashish Kumar, Monika S. Barak
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 116 - Number 1
Year of Publication: 2015
Authors: Indeewar Kumar, Ashish Kumar, Monika S. Barak
10.5120/20303-2343

Indeewar Kumar, Ashish Kumar, Monika S. Barak . Reliability Modeling of a Solar Photovoltaic System using Supplementary Variable Technique. International Journal of Computer Applications. 116, 1 ( April 2015), 41-46. DOI=10.5120/20303-2343

@article{ 10.5120/20303-2343,
author = { Indeewar Kumar, Ashish Kumar, Monika S. Barak },
title = { Reliability Modeling of a Solar Photovoltaic System using Supplementary Variable Technique },
journal = { International Journal of Computer Applications },
issue_date = { April 2015 },
volume = { 116 },
number = { 1 },
month = { April },
year = { 2015 },
issn = { 0975-8887 },
pages = { 41-46 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume116/number1/20303-2343/ },
doi = { 10.5120/20303-2343 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:55:55.466197+05:30
%A Indeewar Kumar
%A Ashish Kumar
%A Monika S. Barak
%T Reliability Modeling of a Solar Photovoltaic System using Supplementary Variable Technique
%J International Journal of Computer Applications
%@ 0975-8887
%V 116
%N 1
%P 41-46
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In the present study, an attempt has been made to derive the reliability measures of a solar photovoltaic system consisting of four subsystems arranged in a series. There is a single server who visits the system immediately to do repair of the unit. Failure time distributions are negative exponential while the repair time distributions of the subsystems are arbitrary. After repair, subsystems are ''as good as new''. Moreover, the whole system fails immediately when any subsystem fail. Switch devices are perfect. All random variables are statistically independent. Under these assumptions, using Markov process theory and the Laplace transform, some important reliability indexes and some steady state system indexes are derived. Finally, graphs for various measures of system effectiveness are derived using MATLAB to highlight the importance of the study.

References
  1. D. R. Cox, Analysis of Non Markovian stochastic processes by the inclusion of Supplementary variables, Proc. Comb. Phill. Soc. 51 (1955) 433–441.
  2. D. P. Gaver, Time to failure and availability of parallel system with repair, IEEE T. Reliab. R-12 (1963) 30–38.
  3. J. Singh, B. Dayal, A 1-0ut of-N: G system with common cause failure and critical human errors, Microelectron Reliab. 31 (1991) 101–104.
  4. Jain, A. , Tripathy, S. C. , Balasubramanian, R. , 1995. Reliability and economic analysis of a power generation system including a photovoltaic system. Energ. Convers. Manage. 36 (3), 183–189.
  5. A. S. Alfa, T. S. S. Srinivada Rao, Supplementary variable technique in stochastic models, Probab. Eng. Inform. Sci. 14 (2000) 203–218.
  6. Billinton, R. , Karki, R. , 2001. Maintaining supply reliability of small isolated power systems using renewable energy. IET Proc. Gener. Transm. Distrib. 148 (6), 530–534.
  7. Billinton, R. , Karki, R. , 2003. Reliability/cost implications of utilizing photovoltaics in small isolated power systems. Reliab. Eng. Syst. Saf. 79, 11–16.
  8. Cha, S. T. , Jeon, D. H. , Bae, I. S. , Lee, R. , Kim, J. O. , 2004. Reliability evaluation of distribution system connected photovoltaic generation considering weather effects. Proceedings of 8th International Conference on Probabilistic Methods Applied to Power System. Iowa State University, Ames, Iowa, pp. 451–456.
  9. Billinton, R. , Bagen, 2006. Generating capacity adequacy evaluation of small stand alone power system containing solar energy. Reliab. Eng. Syst. Saf. 91, 438–443.
  10. J. C. Ke, Y. K. Chu, The comparative analysis of availability for redundant repairable system, Appl. Math. Comput. 188 (2007) 332–338.
  11. Kumar, A. and Saini, M. Profit Analysis of Solar Photovoltaic System with Preventive Maintenance, Int. J. Modern Math. Sci. 2014, 10(3): 247-259.
Index Terms

Computer Science
Information Sciences

Keywords

Reliability Availability Solar Photovoltaic System Laplace Transformation and Markov Process Theory