Mathematical Optimization of Wind Turbine Maintenance Using Repair Rate Thresholds
As reliance on wind energy intensifies globally, optimizing the efficiency and reliability of wind turbines is becoming vital. This paper explores sophisticated maintenance strategies, crucial for enhancing the operational sustainability of wind turbines. It introduces an innovative approach to main...
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MDPI AG
2024-11-01
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| author | Nataša Kontrec Stefan Panić Jelena Vujaković Dejan Stošović Sergei Khotnenok |
| author_facet | Nataša Kontrec Stefan Panić Jelena Vujaković Dejan Stošović Sergei Khotnenok |
| author_sort | Nataša Kontrec |
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| description | As reliance on wind energy intensifies globally, optimizing the efficiency and reliability of wind turbines is becoming vital. This paper explores sophisticated maintenance strategies, crucial for enhancing the operational sustainability of wind turbines. It introduces an innovative approach to maintenance scheduling that utilizes a mathematical model incorporating an alternating renewal process for accurately determining repair rate thresholds. These thresholds are important for identifying optimal maintenance timings, thereby averting failures and minimizing downtime. Central to this study are the obtained generalized analytical expressions that can be used to predict the total repair time for an observed entity. Four key lemmas are developed to establish formal proofs for the probability density function (PDF) and cumulative distribution function (CDF) of repair rates, both above and below critical repair rate thresholds. The core innovation of this study lies in the methodological application of PDFs and CDFs to set repair time thresholds that refine maintenance schedules. The model’s effectiveness is illustrated using simulated data based on typical wind turbine components such as gearboxes, generators, and converters, validating its potential for improving system availability and operational readiness. By establishing measurable repair rate thresholds, the model effectively prioritizes maintenance tasks, extending the life of crucial turbine components and ensuring consistent energy output. Beyond enhancing theoretical understanding, this research provides practical insights that could inform broader maintenance strategies across various renewable energy systems, marking a significant advancement in the field of maintenance engineering |
| format | Article |
| id | doaj-art-3d0fc5bb7abb4b3fb8d0d54fab85add1 |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
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| series | Axioms |
| spelling | doaj-art-3d0fc5bb7abb4b3fb8d0d54fab85add12025-08-20T02:26:59ZengMDPI AGAxioms2075-16802024-11-01131180910.3390/axioms13110809Mathematical Optimization of Wind Turbine Maintenance Using Repair Rate ThresholdsNataša Kontrec0Stefan Panić1Jelena Vujaković2Dejan Stošović3Sergei Khotnenok4Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Lole Ribara 29, 38220 Kosovska Mitrovica, SerbiaFaculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Lole Ribara 29, 38220 Kosovska Mitrovica, SerbiaFaculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Lole Ribara 29, 38220 Kosovska Mitrovica, SerbiaFaculty of Technical Sciences, University of Priština in Kosovska Mitrovica, Knjaza Miloša 7, 38220 Kosovska Mitrovica, SerbiaLaboratory of Autonomous Electronic Systems, Tomsk State University of Control Systems and Radioelectronics, 40 Lenina Prospect, Tomsk 634050, RussiaAs reliance on wind energy intensifies globally, optimizing the efficiency and reliability of wind turbines is becoming vital. This paper explores sophisticated maintenance strategies, crucial for enhancing the operational sustainability of wind turbines. It introduces an innovative approach to maintenance scheduling that utilizes a mathematical model incorporating an alternating renewal process for accurately determining repair rate thresholds. These thresholds are important for identifying optimal maintenance timings, thereby averting failures and minimizing downtime. Central to this study are the obtained generalized analytical expressions that can be used to predict the total repair time for an observed entity. Four key lemmas are developed to establish formal proofs for the probability density function (PDF) and cumulative distribution function (CDF) of repair rates, both above and below critical repair rate thresholds. The core innovation of this study lies in the methodological application of PDFs and CDFs to set repair time thresholds that refine maintenance schedules. The model’s effectiveness is illustrated using simulated data based on typical wind turbine components such as gearboxes, generators, and converters, validating its potential for improving system availability and operational readiness. By establishing measurable repair rate thresholds, the model effectively prioritizes maintenance tasks, extending the life of crucial turbine components and ensuring consistent energy output. Beyond enhancing theoretical understanding, this research provides practical insights that could inform broader maintenance strategies across various renewable energy systems, marking a significant advancement in the field of maintenance engineeringhttps://www.mdpi.com/2075-1680/13/11/809maintenance optimizationrepair rate thresholdsstochastic modelingreliability theorywind turbines |
| spellingShingle | Nataša Kontrec Stefan Panić Jelena Vujaković Dejan Stošović Sergei Khotnenok Mathematical Optimization of Wind Turbine Maintenance Using Repair Rate Thresholds Axioms maintenance optimization repair rate thresholds stochastic modeling reliability theory wind turbines |
| title | Mathematical Optimization of Wind Turbine Maintenance Using Repair Rate Thresholds |
| title_full | Mathematical Optimization of Wind Turbine Maintenance Using Repair Rate Thresholds |
| title_fullStr | Mathematical Optimization of Wind Turbine Maintenance Using Repair Rate Thresholds |
| title_full_unstemmed | Mathematical Optimization of Wind Turbine Maintenance Using Repair Rate Thresholds |
| title_short | Mathematical Optimization of Wind Turbine Maintenance Using Repair Rate Thresholds |
| title_sort | mathematical optimization of wind turbine maintenance using repair rate thresholds |
| topic | maintenance optimization repair rate thresholds stochastic modeling reliability theory wind turbines |
| url | https://www.mdpi.com/2075-1680/13/11/809 |
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