13Stochastic Modeling and Availability Optimization of Heat Recovery Steam Generator Using Genetic Algorithm

Monika Saini, Nivedita Gupta and Ashish Kumar*

Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur, Rajasthan, India

Abstract

In steam turbine power plants generator, turbine, cooling towers, and heat recovery steam generators (HRSG) are the main equipment. The failure of HRSG resulted in the failure of the steam cycle that reduces the power production in the plant. The HRSG technology is quite recent, so its performance analysis through reliability measures become necessary to evaluate and enhance capacity of power plants. The present study proposed a novel mathematical model for the HRSG system to assess its availability. For this purpose, a state transition diagram is developed using the Markov birth-death process by considering all time-dependent failure and repair rates as exponentially distributed. The Chapman-Kolmogorov differential-difference equations are derived for the proposed model. The availability of the proposed model is optimized using genetic algorithm to attain the global solution. The numerical result of the present study is appended to highlight the importance of the study.

Keywords: Heat recovery steam generator, genetic algorithm, Markov birth death method, exponential distribution

13.1 Introduction

The performance of steam turbine power plant depends on the availability of its components like turbine, cooling tower, turbine, ...

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