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

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