A field hospital is supplied by electricity from a single working generator of constant failure rate λ = 0.0005 per hour. Power is required 24 hours per day. Preventive maintenance is carried out at six-week intervals. To ensure that the electric power supply is at least 95% reliable throughout this period, it is decided to introduce extra generators on cold standby. The failure rate of the generator on cold standby is negligible. The reliability of the switching mechanism is 0.98 per demand. Determine the minimum number of standby generators required to meet the reliability performance target.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.19P
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A field hospital is supplied by electricity from a single working generator of
constant failure rate λ = 0.0005 per hour. Power is required 24 hours per day.
Preventive maintenance is carried out at six-week intervals. To ensure that the
electric power supply is at least 95% reliable throughout this period, it is decided
to introduce extra generators on cold standby. The failure rate of the generator
on cold standby is negligible. The reliability of the switching mechanism is 0.98
per demand. Determine the minimum number of standby generators required to
meet the reliability performance target.

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