Neural Computing and Applications

, Volume 23, Issue 2, pp 531–539 | Cite as

Application of non-normal p-norm trapezoidal fuzzy number in reliability evaluation of electrical substations

  • Manjit Verma
  • Amit Kumar
  • Yaduvir Singh
  • Tofigh Allahviranloo
Original Article


This paper presented a non-normal p-norm trapezoidal fuzzy number–based fault tree technique to obtain the reliability analysis for substations system. Due to uncertainty in the collected data, all the failure probabilities are represented by non-normal p-norm trapezoidal fuzzy number. In this paper, the fault tree incorporated with the non-normal p-norm trapezoidal fuzzy number and minimal cut sets approach are used for reliability assessment of substations. An example of 66/11 kV substation is given to demonstrate the method. Further, fuzzy risk analysis problems are described to find out the probability of failure of each components of the system using linguistic variables, which could be used for managerial decision making and future system maintenance strategy.


Fuzzy reliability analysis Non-normal p-norm trapezoidal fuzzy number Fault tree Minimal cut sets 66/11 kV substation Risk analysis 


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Copyright information

© Springer-Verlag London Limited 2012

Authors and Affiliations

  • Manjit Verma
    • 1
  • Amit Kumar
    • 1
  • Yaduvir Singh
    • 2
  • Tofigh Allahviranloo
    • 3
  1. 1.School of Mathematics and Computer ApplicationsThapar UniversityPatialaIndia
  2. 2.Electrical and Instrumentation EngineeringThapar UniversityPatialaIndia
  3. 3.Department of Mathematics, Science and Research BranchIAUTehranIran

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