Stochastic modelling of a wind electric generating power plant

Abstract

Purpose The purpose of this paper is to analyse the performance of a wind electric generating power plant through the study of reliability measures. The enhancement of the performance of the wind power plant using various approaches is also an objective of this paper. Design/methodology/approach This paper describes two models of a wind electric generating power plant using the Markov process and supplementary variable technique and solved with the help of Laplace transformation. The first model has been analyzed without fault coverage and Gumbel-Hougaard family of copula, while the second model of the wind power plant employs fault coverage and Gumbel-Hougaard family of copula which are used to enhance the performance. The proposed methodology is then illustrated in detail considering numerical examples. Findings Numerous reliability characteristics such as availability, reliability and mean time to failure to examine the performance of the wind power plant have been investigated. Through the comparative study of both the models, the authors concluded that the plant can generate electricity over long periods of time by covering more and more detected faults, which is made possible with two types of repair facility. Originality/value In this work, the authors have developed a mathematical model based on a wind electric generating power plant. This work incorporates not only the component failures that stop or degrade the working of the plant but also deals with the catastrophic and repair strategy of the plant.

Reliability analysis of CNC turning center based on the assessment of trends in maintenance data

“…The proposed framework discriminates between the use of statistical distributions to represent the time to failure (i.e., renewal approach) and the use of stochastic point process (repairable system approach). It is also observed that several papers used specific reliability distributions for failure and repair data analysis (Goyal and Ram, 2017;Ghavijorbozeh and Hamadani, 2017;Haldar, 2015;Mohammadi et al, 2015;Tsarouhas, 2015). Saleh (2009, 2010) conducted a nonparametric analysis of satellite reliability for 1584 Earth-orbiting satellites launched between January 1990 and October 2008.…”