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.
Highlights
Worldwide, two billion people suffer from water shortage problems
Using the Markov process, the authors propose a mathematical model for a combined system by employing the supplementary variable technique for elapse repair time and the Gumbel– Hougaard family of copula for two types of repair
From critical examination of the model, the authors conclude that the combined system is highly functional due to the two types of repair facilities
Summary
Two billion people suffer from water shortage problems. Water is necessary for fulfilling human daily requirements such as drinking, bathing, washing, to protecting health, safeguarding food production, harvesting energy, and refurbishing environments, in addition to facilitating social and economic enhancement. The authors determined the best results and improved the quality of windmill solar power systems due to the availability of water and wind. Awad [17] studied water windmill energy power plants, which are more reliable, renewable energy sources, and low-cost, explaining their useful applications in real-life. The main issue is to increase the system reliability performance of network multistate systems; many researchers have used various binary and multi-state systems and applied different methods to improve the quality of network systems in the fields of communication, information sciences, and real-life engineering areas. The authors discussed the algorithm base method for computing probability or reliability of the system networking minimal path set, which satisfied the demand and cost. Lin et al [26] calculated the system reliability of the multi-state network system, proposed the algorithm with a minimal path, and evaluated the performance probability of the system.
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