Markov Modeling and Reliability analysis of solar photovoltaic system Using Gumbel Hougaard Family Copula

Document Type : Original Research Article

Authors

1 Department of Mathematics, Sokoto State University, Sokoto, Nigeria

2 Department of Mathematical Sciences, Bayero University, Kano, Nigeria

Abstract

    The present work illustrated the reliability analysis of solar photovoltaic systems and the efficiency of medium grid-connected photovoltaic (PV) power systems with 1-out of- 2 PV panels, one out of one charge controller, 1- out of 3 batteries, 1- out of 2 inverters and one out one Distributor. The units that comprise the solar were studied. Gumbel Hougaard Family Copula method was used to evaluate the performances of solar photovoltaics. Other reliability metrics were investigated, including availability, mean time to failure, and sensitivity analysis. The numerical result was generated using the Maple 13 software. The numerical results were presented in tables, with graphs to go along with them. Failure rates and their effects on various solar photovoltaic subsystems were investigated. Numerical examples are provided to demonstrate the obtained results and to assess the influence of various system characteristics. The current research could aid companies, and their repairers overcome some issues that specific manufacturing and industrial systems repairers face.

Keywords

Main Subjects


  1. S. Maihulla, Yusuf, I., andS. I. Bala,“Reliability and Performance Analysis of a Series-Parallel System using Gumbel–Hougaard Family Copula”. Journal of Computational and Cognitive Engineering, 01–10. 2021 https://doi.org/10.47852/bonviewJCCE2022010101.
  2. S. Maihulla, and I. Yusuf,“Performance Analysis of Photovoltaic Systems Using (RAMD) Analysis,” Journal of the Nigerian Society of Physical Sciences3(3), 172–180. 2021 https://doi.org/10.46481/jnsps.2021.194.
  3. Goyal, A. Kumar, M. Saini, and H. Joshi, “Reliability, maintainability and sensitivity analysis of physical processing unit of sewage treatment plant,” SN Appl. Sci. 1 (2019) 1507. https://doi.org/10.1007/s42452-019-1544-7DOI https://doi.org/10.1007/s42452-019-1544-7
  4. F. L. Van Casteren, M. H. J. Bollen and M. E. Schmieg, “Reliability assessment in electrical power systems: the weibull-markov stochastic model”, IEEE Transactions on Industry Appl.36 (2000) 911 DOI: https://doi.org/10.1109/28.845070
  5. C. Eti, S. O. T. Ogaji and S. D. Probert, “Reliability of the Afam electric power generating station, Nigeria”, Applied Energy 77 (2004) 309.
  6. Ebeling, “An introduction to reliability and maintainability engineering,” 10th edn. Tata McGraw-Hill, New Delhi, Published by McGraw-Hill (2008). DOI: https://doi.org/10.1016/S0306-2619(03)00094-1
  7. Gupta &and P.C. Tewari, “Simulation modeling and analysis of complex system of thermal power plant”, J. of Industrial Eng. and Management 2 (2009) 387. DOI: https://doi.org/10.3926/jiem.2009.v2n2.p387-406
  8. Tsarouhas, T. Varzakas and I. Arvanitoyannis, “Reliability and maintain ability analysis of strudel production line with experimental data: a case study” J. Food Eng. 91 (2009) 250. DOI: https://doi.org/10.1016/j.jfoodeng.2008.09.002
  9. J.G. Carazas and G.F.M. Souza, “Availability analysis of gas turbines used in power plants”, Int. J. of Thermodynamics 12 (2009) 28
  10. K. Lado and V. V. Singh, “Cost assessment of complex repairable system consisting two subsystems in series configuration using Gumbel Hougaard family copula”, International Journal of Quality & Reliability Management 36 (2019) 1683. https://doi.org/10.1108/IJQRM-12-2018-0322. DOI: https://doi.org/10.1108/IJQRM-12-2018-0322
  11. V. Singh, P. K. Poonia and A. H. Adbullahi, “Performance analysis of a complex repairable system with two subsystems in series configuration with an imperfect switch”, J. Math. Comput. Sci., 10 (2020) 359. DOI: 10.28919/jmcs/4399 DOI: https://doi.org/10.28919/jmcs/4399
  12. Yusuf, A. L. Ismail and V. V. Singh “Performance Analysis of Multi-computer System Consisting of Three Subsystems in Series Configuration Using Copula Repair Policy”, SN Comp. Sci. 1 (2020) 241. https://doi.org/10.1007/s42979-020-00258-0. DOI: https://doi.org/10.1007/s42979-020-00258-0
  13. Raghav, D. Rawal, I. Yusuf, R. H. Kankarofi and V. Singh, “Reliability Prediction of Distributed System with Homogeneity inSoftware and Server using Joint Probability Distribution via Copula Approach”, Reliability: Theory & Applications, 16 (2021) 217. https://doi.org/10.24412/1932-2321-2021-161-217-230
  14. S. Maihulla, I. Yusuf, and S. M. Isa, "Reliability modeling and performance evaluation of solar photovoltaic system using Gumbel–Hougaard family copula", International Journal of Quality & Reliability Management, Vol. ahead-of-print No. ahead-of print.https://doi.org/10.1108/IJQRM-03-2021-0071(2021).
  15. Yusuf, M. Lawan, U. Ali, A. Ismail, S. Isa, A. Maihulla,“Reliability and Performance Analysis of Two Unit Active Parallel System Attended by Two Repairable Machines,” Annals of Optimization Theory and Practice, (), -. (2022).doi: 10.22121/aotp.2022.293938.1076
  16. S. Maihulla, I. Yusuf,“Reliability, availability, maintainability, and dependability analysis of photovoltaic systems,” Life Cycle ReliabSafEng11, 19–26 (2022). https://doi.org/10.1007/s41872-021-00180-1
  17. Muhammad,  I Yusuf,  S. Kabiru, Y. Bashir, L. Abdul and A. A. Uba,“Reliability Analysis of Multi-Workstation Computer Network Configured as Series-Parallel System via Gumbel -Hougaard Family Copula.” 19. 13-26. 2022 10.6886/IJOR.202203_19(1).0002.
  18. S. Maihulla and I. Yusuf, “RELIABILITY ANALYSIS OF REVERSE OSMOSIS FILTRATION SYSTEM USING COPULA”, rta, vol. 17, no. 2, pp. 163-177, Jun. 2022.