Performance measures of a nuclear power plant

In this paper, we have considered a nuclear power plant for the performance measure in terms of evaluation of availability, reliability and MTTF. A nuclear power plant among other things is useful in the production of electricity. The whole nuclear reactor is divided into five subsystems, numbered as (1) Reactor vessel, (2) Heat exchanger, (3) Turbine, (4) Condenser, (5) Generator, which are connected in series.

All failures follow exponential distribution whereas repairs obey general time distribution. A set of differential difference equations has been obtained as a mathematical modeling continuous w.r.to time and discrete w.r.to space. The ergodic behavior of the system along some particular cases have been discussed. The numerical illustration together with graphical diagram have been appended to highlight the important results of study.