The renewal process define as a counting process where the times between the count renewals is a random variables and their distribution\nis identical. In the electricity generation machines there are spare parts replaced due to damage or expired and replacement process occur\nrepeatedly and the renewal process of here assume that times between replacements are independent random variables and it has identical\nprobability distribution. In this paper, renewal process model has applied on the time of fault for machine in Bahri Thermal Station for\nelectricity generation, which is belong to the National Electricity Authority in Sudan during the period (2011-2015). Through the renewal\nprocess model estimation is clear that, the failure time (renewal) for the machines follow Weibull distribution with 2-parameters and\nwhen the time trend has been tested it is clear that no trend exist which mean that the renewal process represent Homogeneous Poisson\nProcess (HPP), and the repair rate (renewal) is occurred constantly. In addition, the findings approve that whenever the repair rate (renewal)\nincrease the mean time between failures (MTBF) increases too and this clear in machine no (6).
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