Reliability Measures and Profit Exploration of Windmill Water-Pumping Systems Incorporating Warranty and Two Types of Repair

Abstract

Wind energy is a kind of renewable energy that plays a significant role in remote areas for pumping water. The windmill is also used to generate electricity. The windmill is also known as a wind pump when it is used for pumping water. In this work, the authors proposed a complex hybrid model of an example of combined system (windmill, rechargeable battery and pumping system) to evaluate the system’s performance. System performance was affected by system degradation due to system failure. These factors also affected the profit of the user. Two types of repair facilities for continuous and satisfactory performance of the system were assumed. To illustrate the system modeling using the Gumbel–Hougaard family of the copula, numerical examples were used for the exploration of Markov results of the reliability measures and the profit of the system with the warranty period, with this also being demonstrated graphically.

Availability optimization of biological and chemical processing unit using genetic algorithm and particle swarm optimization

“…Okamura and Dohi (2021) explored the applicability of evolutionary algorithms in the reliability evaluation of complex systems. Goyal et al (2021) suggested a stochastic model for a water pump used in windmills using the concept of warranty. D'Amico et al (2021) developed some semi-Markov reliability models for the computation of some interval reliability indicators.…”

“…Okamura and Dohi (2021) explored the applicability of evolutionary algorithms in the reliability evaluation of complex systems. Goyal et al. (2021) suggested a stochastic model for a water pump used in windmills using the concept of warranty.…”

Comparative Study of Energy Consumption and CO2 Emissions of Variable-Speed Electric Drives with Induction and Synchronous Reluctance Motors in Pump Units

“…The semianalytical pump model based on interpolation of catalogue data at the rated rotational speed is commonly used for pumping system analysis [15,33]. When analyzing pumping systems, methods of multicriteria optimization [34,35], statistical methods of reliability analysis [36], and neural networks [37] are also often used.…”