Minimal cut sets, Petri nets, and prime number encoding in distribution system reliability evaluation

Mohammad Al-Muhaini, Gerald T. Heydt

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations

Abstract

Reliability assessment of secondary distribution networks is an important subject due to the increasing demand for more reliable service with less interruption frequency and duration. The connection of a distribution network may be neither series nor parallel, and analyzing such a network is a complicated process and time consuming task. In this paper, a technical approach for evaluating the reliability of a mesh networked distribution system is described. The proposed method is based on the identification of circuit minimal tie sets using the concept of Petri nets. Then, prime numbers encoding and unique prime factorization are applied to classify the remaining combinations as tie sets, cut sets, or minimal cut sets. The minimal cut sets are used to calculate the Availability (A), Average Interruption Frequency (AIF), and Average Interruption Duration (AID) of the network. Examples are shown to illustrate the proposed method. The method shown is algorithmic and appears suitable for off-line comparison of alternative secondary distribution system designs on the basis of their reliability.

Original languageEnglish (US)
Title of host publication2012 IEEE PES Transmission and Distribution Conference and Exposition, T and D 2012
DOIs
StatePublished - Nov 1 2012
Event2012 IEEE PES Transmission and Distribution Conference and Exposition, T and D 2012 - Orlando, FL, United States
Duration: May 7 2012May 10 2012

Publication series

NameProceedings of the IEEE Power Engineering Society Transmission and Distribution Conference
ISSN (Print)2160-8555
ISSN (Electronic)2160-8563

Other

Other2012 IEEE PES Transmission and Distribution Conference and Exposition, T and D 2012
CountryUnited States
CityOrlando, FL
Period5/7/125/10/12

Keywords

  • Petri nets
  • circuit theory
  • distribution engineering
  • minimal cut sets
  • power system reliability
  • prime numbers
  • secondary distribution networks

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Al-Muhaini, M., & Heydt, G. T. (2012). Minimal cut sets, Petri nets, and prime number encoding in distribution system reliability evaluation. In 2012 IEEE PES Transmission and Distribution Conference and Exposition, T and D 2012 [6281495] (Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference). https://doi.org/10.1109/TDC.2012.6281495