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
    2017-06-09
    https://doi.org/10.14419/ijamr.v6i3.7812
  • 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

  • References

    1. Abdulkadir M, Samosir A. S., Yatim A. H. M. (2013) “Modeling and Simulation of a Solar Photovoltaic System, Its Dynamics and Transient Characteristics in LABVIEW†International Journal of Power Electronics and Drive System (IJPEDS) Vol. 3, No. 2, pp. 185-192. https://doi.org/10.11591/ijpeds.v3i2.2422.
    2. Ajay Kumar, K. Garg and P.C. Tiwari (2014) Performance Modeling And Availability Analysis of Malt Screener System In A Brewery Plant International Journal of Latest Research in Science and Technology 3(2) 201-209
    3. Bastisdas, J.D.; Romas-Paja, C.A.; Franco, E.; Spagnuolo, Petrone, G. (2013) Modeling of photovoltaic field in mismatching conditions by means of inflection voltages. In proceedings of Engineering Applications (WAE) 2012 Workshop, Bogota, Columbia, 2-4 May 2012; pp. 1-6.
    4. Elhassan, Z.A.M.; Zain, M.F.M.; Sopian K. Abass (2012). Building integrated photovoltaics (BIPV) module in urban housing in Khartoum: Concept and design, International Journal of Physical Sciences 7, 487-494.
    5. Enslin J. H. R., Wolf, M. S., Snyman,D. B. and W. Swiegers. (1997) “Integrated photovoltaic maximum power point tracking converter,†IEEE Transactions on Industrial Electronics, vol. 44, no. 6, pp. 769–773. https://doi.org/10.1109/41.649937.
    6. Khatab, A., Nahas, N., and Nourelfath, M., (2009). Availbilty of k-out-of-n: G systems with non identical components subject to repair priorities.Reliab. Eng. Syst. Safety. 94, 142-151 https://doi.org/10.1016/j.ress.2008.02.017.
    7. Ke, J.C. and Chu, Y.K. (2007). Comparative analysis of availability for a redundant repairable system. Applied Mathematics and Computation, 188, pp 332-338 https://doi.org/10.1016/j.amc.2006.09.123.
    8. Mahmodian, M.S. Rahmani. R.: Taslimi. E. Mekhilef S. (2012) Step By Step Analyzing, Modeling and Simulation of Single and Double Array PV System in Different EnvironmentalVariability, Proceedings of International Conference on Future Environment and Energy, Singapore. 26 – 28:37 – 42
    9. Mokaddis, G.S., El Sherbeny, M.S. and Al-Esayey, Entesar.(2010). Compare between two unit cold standby and warm standby outdoor electric power systems in changing weather, Journal of Mathematics and Statistics, 6(1), 17-22 https://doi.org/10.3844/jmssp.2010.17.22.
    10. Mekhilef, S.; Saidur, R.; Safari, A. A review on solar energy use in industries. Renew. Sustain. Energies Rev. 2011, 15, 1777-1790. https://doi.org/10.1016/j.rser.2010.12.018.
    11. Quaschning., V. and Hanitsch, R. (1996) “Numerical simulation of current-voltage characteristics of photovoltaic systems with shaded solar cells,†Solar Energy, vol. 56, no. 6, pp. 513–520, https://doi.org/10.1016/0038-092X(96)00006-0.
    12. Villalva. MG: Gazoli, J.R. (2009) Comprehensive Approach to Modeling and Simulation of Photovoltaic Arrays, IEEE Trans. Power Electron. 24: 1198 – 1208 https://doi.org/10.1109/TPEL.2009.2013862.
    13. Wang, K,-H., Don, W,-L and Ke, J,-B. (2006). Comparison of reliability and availability between four systems with warm standby components and standby switching failures, Appl. Math. And Comput., Vol. 183, 1310-1322 https://doi.org/10.1016/j.amc.2006.05.161.
    14. Wang, K.H. and Chen, Y.-J. (2009). Comparative analysis of availability between three systems with general repair times, reboot delay and switching failures. Applied Mathematics and Computation, 215, 384-394. https://doi.org/10.1016/j.amc.2009.05.023.
    15. Wang, K,-H., Yen, T,-C. and Fang, Y,-C. (2012). Comparison of Availability between two systems with warm standby units and different imperfect coverage, Quality technology and quantitative management, 9(3), pp 265-282. https://doi.org/10.1080/16843703.2012.11673291.
    16. Yusuf, I. (2013). Comparison of some reliability characteristics between redundant systems requiring supporting units for their operation. Journal of Mathematical and Computational Sciences, 3(1), pp 216-232.

  • Downloads

  • How to Cite

    K, S., Yusuf, I., Ali, U., Koko, A. D., & Bala, S. I. (2017). Availability comparison between three dissimi-lar photovoltaic configurations. International Journal of Applied Mathematical Research, 6(3), 80-84. https://doi.org/10.14419/ijamr.v6i3.7812

    Received date: 2017-05-21

    Accepted date: 2017-05-21

    Published date: 2017-06-09