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

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Abstract

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.

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Authors and Affiliations

  1. School of Mathematics and Computer Applications, Thapar University, Patiala, India

    Manjit Verma & Amit Kumar

  2. Electrical and Instrumentation Engineering, Thapar University, Patiala, India

    Yaduvir Singh

  3. Department of Mathematics, Science and Research Branch, IAU, Tehran, Iran

    Tofigh Allahviranloo

Authors
  1. Manjit Verma
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  2. Amit Kumar
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  3. Yaduvir Singh
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  4. Tofigh Allahviranloo
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Correspondence to Tofigh Allahviranloo.

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Verma, M., Kumar, A., Singh, Y. et al. Application of non-normal p-norm trapezoidal fuzzy number in reliability evaluation of electrical substations. Neural Comput & Applic 23, 531–539 (2013). https://doi.org/10.1007/s00521-012-0949-7

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  • DOI: https://doi.org/10.1007/s00521-012-0949-7

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