TY - GEN
T1 - Minimal cut sets, Petri nets, and prime number encoding in distribution system reliability evaluation
AU - Al-Muhaini, Mohammad
AU - Heydt, Gerald T.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
KW - Petri nets
KW - circuit theory
KW - distribution engineering
KW - minimal cut sets
KW - power system reliability
KW - prime numbers
KW - secondary distribution networks
UR - http://www.scopus.com/inward/record.url?scp=84867943724&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84867943724&partnerID=8YFLogxK
U2 - 10.1109/TDC.2012.6281495
DO - 10.1109/TDC.2012.6281495
M3 - Conference contribution
AN - SCOPUS:84867943724
SN - 9781467319348
T3 - Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference
BT - 2012 IEEE PES Transmission and Distribution Conference and Exposition, T and D 2012
T2 - 2012 IEEE PES Transmission and Distribution Conference and Exposition, T and D 2012
Y2 - 7 May 2012 through 10 May 2012
ER -