Maximum Efficiency of a Wind Turbine
The concept of a wind turbine is not new technology, however, in a day and age where renewable energy is popular, the interest in wind turbines has increased dramatically. This project investigates multiple aspects of a wind turbine and will derive the maximum power efficiency of an ideal wind turbi...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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University of South Florida
2016-05-01
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| Series: | Undergraduate Journal of Mathematical Modeling: One + Two |
| Online Access: | http://scholarcommons.usf.edu/ujmm/vol6/iss2/2/ |
| _version_ | 1818474668035670016 |
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| author | Marisa Blackwood |
| author_facet | Marisa Blackwood |
| author_sort | Marisa Blackwood |
| collection | DOAJ |
| description | The concept of a wind turbine is not new technology, however, in a day and age where renewable energy is popular, the interest in wind turbines has increased dramatically. This project investigates multiple aspects of a wind turbine and will derive the maximum power efficiency of an ideal wind turbine, first introduced by Albert Betz in 1919. This project will also calculate the size of a wind turbine at maximum efficiency given certain parameters and determine the optimum outlet velocity as a function of wind speed to maximize the mechanical energy produced. These equations will be derived by using concepts from physics and calculus, which will result in determining the optimal efficiency of an ideal turbine to be 59.26%; this is referred to as The Betz Limit. |
| first_indexed | 2024-04-14T04:40:18Z |
| format | Article |
| id | doaj.art-dcd524f18afc4c69a8834a25ea971517 |
| institution | Directory Open Access Journal |
| issn | 2326-3652 |
| language | English |
| last_indexed | 2024-04-14T04:40:18Z |
| publishDate | 2016-05-01 |
| publisher | University of South Florida |
| record_format | Article |
| series | Undergraduate Journal of Mathematical Modeling: One + Two |
| spelling | doaj.art-dcd524f18afc4c69a8834a25ea9715172022-12-22T02:11:42ZengUniversity of South FloridaUndergraduate Journal of Mathematical Modeling: One + Two2326-36522016-05-0162210.5038/2326-3652.6.2.4865Maximum Efficiency of a Wind TurbineMarisa Blackwood0University of South FloridaThe concept of a wind turbine is not new technology, however, in a day and age where renewable energy is popular, the interest in wind turbines has increased dramatically. This project investigates multiple aspects of a wind turbine and will derive the maximum power efficiency of an ideal wind turbine, first introduced by Albert Betz in 1919. This project will also calculate the size of a wind turbine at maximum efficiency given certain parameters and determine the optimum outlet velocity as a function of wind speed to maximize the mechanical energy produced. These equations will be derived by using concepts from physics and calculus, which will result in determining the optimal efficiency of an ideal turbine to be 59.26%; this is referred to as The Betz Limit.http://scholarcommons.usf.edu/ujmm/vol6/iss2/2/ |
| spellingShingle | Marisa Blackwood Maximum Efficiency of a Wind Turbine Undergraduate Journal of Mathematical Modeling: One + Two |
| title | Maximum Efficiency of a Wind Turbine |
| title_full | Maximum Efficiency of a Wind Turbine |
| title_fullStr | Maximum Efficiency of a Wind Turbine |
| title_full_unstemmed | Maximum Efficiency of a Wind Turbine |
| title_short | Maximum Efficiency of a Wind Turbine |
| title_sort | maximum efficiency of a wind turbine |
| url | http://scholarcommons.usf.edu/ujmm/vol6/iss2/2/ |
| work_keys_str_mv | AT marisablackwood maximumefficiencyofawindturbine |