Distribution System Failure Assessment Using Fuzzy Fault Tree Analysis

  • Galiveeti Hemakumar ReddyEmail author
  • Sadhan Gope
  • More Raju
  • Sunil Kumar P
  • Arup Kumar Goswami
  • Nalin B. Dev Choudhury
Conference paper
Part of the Learning and Analytics in Intelligent Systems book series (LAIS, volume 12)


Distribution system is the only connecting link of the power generation and load end. Any failure or malfunction at the end user have effective impact on the whole system. The health of distribution system is important for reliable operation of system. Random failure events and their records are not supportive for failure prediction. The fuzzy set theory is adopted to deal with the uncertainty of system failures occurrence. In this work, interval type-2 fuzzy set (IT2FS) based fuzzy fault tree analysis (FTA) has been proposed for failure probability estimation of load point and system failures. The proposed methodology is applied on RBTS bus 2 test system and results are compared with analytical method.


Distribution system Fuzzy theory IT2FS Fault tree analysis 


  1. 1.
    Brown, R.E.: Electric Power Distribution Reliability, 2nd edn. CRC Press, Boca Raton (2008)CrossRefGoogle Scholar
  2. 2.
    Roy Billinnton, R.N.A.: Reliability Evaluation of Engineering System, 2nd edn. Springer, Boston (2013)Google Scholar
  3. 3.
    Misra, K.B.: Reliability Analysis and Prediction A Methodology Oriented Treatment. Elsevier, Amsterdam (1992)zbMATHGoogle Scholar
  4. 4.
    Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)CrossRefGoogle Scholar
  5. 5.
    Singer, D.: A fuzzy set approach to fault tree and reliability analysis. Fuzzy Sets Syst. 34(2), 145–155 (1990)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Liang, G.-S., Wang, M.-J.J.: Fuzzy fault-tree analysis using failure possibility. Microelectron. Reliab. 33(4), 583–597 (1993)CrossRefGoogle Scholar
  7. 7.
    Verma, M., Rukmini, C., Goyal, S.: Electrical substations reliability evaluation using fuzzy fault tree approach. In: 2012 2nd International Conference on Power, Control and Embedded Systems (ICPCES), pp. 1–6 (2012)Google Scholar
  8. 8.
    Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning-I. Inf. Sci. 8, 199–249 (1975)MathSciNetCrossRefGoogle Scholar
  9. 9.
    Mendel, J.M., John, R.I., Liu, F.: Interval type-2 fuzzy logic systems made simple. IEEE Trans. Fuzzy Syst. 14(6), 808–821 (2006)CrossRefGoogle Scholar
  10. 10.
    Mitra, R., Reddy, G.H., Goswami, A.K., Choudhury, N.B. D.: Power transformer failure analysis using interval type-2 fuzzy set theory based fault tree analysis. In: 2016 IEEE 7th Power India International Conference (PIICON), pp. 1–4 (2016)Google Scholar
  11. 11.
    Agarwal, S.S., Kansal, M.L.: Fuzzy fault tree analysis of a power transformer. In: 2012 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering (ICQR2MSE), pp. 1000–1004 (2012)Google Scholar
  12. 12.
    Deshpande, A.: Fuzzy fault tree analysis: revisited. Int. J. Syst. Assu. Eng. Manag. 2(1), 3–13 (2011)CrossRefGoogle Scholar
  13. 13.
    Hamrawi, H., Coupland, S.: Type-2 fuzzy arithmetic using alpha-planes. In: Proceedings of the Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference, pp. 606–611 (2009)Google Scholar
  14. 14.
    Wu, D.: Approaches for reducing the computational cost of interval type-2 fuzzy logic systems: overview and comparisons. IEEE Trans. Fuzzy Syst. 21(1), 80–99 (2013)CrossRefGoogle Scholar
  15. 15.
    Allan, R.N., Billinton, R., Sjarief, I., Goel, L., So, K.S.: A reliability test system for educational purposes-basic distribution system data and results. IEEE Trans. Power Syst. 6(2), 813–820 (1991)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Galiveeti Hemakumar Reddy
    • 1
    Email author
  • Sadhan Gope
    • 2
  • More Raju
    • 3
  • Sunil Kumar P
    • 1
  • Arup Kumar Goswami
    • 4
  • Nalin B. Dev Choudhury
    • 4
  1. 1.MVJ College of EngineeringBangaloreIndia
  2. 2.Mizoram UniversityAizawlIndia
  3. 3.MVSR Engineering CollegeHyderabadIndia
  4. 4.National Institute of Technology SilcharSilcharIndia

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