A smooth bootstrapping based technique for evaluating distribution system reliability indices neglecting random interruption duration

• Paper finds basic reliability indices subject to neglecting of certain repair time.
• Neglected repair time is truly a random variable.
• General boot strapping and smooth boot strapping techniques have been used.
• Results have been compared with Monte Carlo simulation (MCS).
• Developed algorithm has been implemented on radial and meshed distribution systems.

Average interruption duration, interruption duration per year and failure rate at a load point are the basic reliability indices required to be evaluated. These indices depend on failure rate and average repair time of each feeder. Usually in reliability assessment of distribution system failure and repair rates are assumed constant. Further it has been observed that random outage time may be neglected at load point. This has been an important issue in determining the modified reliability indices accounting random outage time. Hence this paper presents a methodology to determine basic reliability indices subject to neglecting of certain repair time which is truly a random variable. The methodology is based on smooth boot strapping technique along with Monte Carlo simulation (MCS). The developed algorithm has been implemented on two sample test systems. The results obtained has been compared those with MCS and obtained with general boot strapping.