Estimation of Wind Farm Losses Using a Jensen Model Based on Actual Wind Turbine Characteristics for an Offshore Wind Farm in the Baltic Sea
This study investigates the effects of velocity deficits on the performance of wind turbines in multi-row wind farms, focusing on two types of turbines: Gamesa G132 and Gamesa SG8. The analysis examines the impact of turbine spacing on key performance metrics, including Annual Energy Production, ene...
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2025-01-01
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| author | Ziemowit Malecha Maciej Chorowski |
| author_facet | Ziemowit Malecha Maciej Chorowski |
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| description | This study investigates the effects of velocity deficits on the performance of wind turbines in multi-row wind farms, focusing on two types of turbines: Gamesa G132 and Gamesa SG8. The analysis examines the impact of turbine spacing on key performance metrics, including Annual Energy Production, energy production losses, and the capacity factor. Two models are used: the classical Jensen model, assuming a constant thrust coefficient (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>C</mi><mi>T</mi></msub></semantics></math></inline-formula>), and an updated model that incorporates the actual turbine-specific <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>C</mi><mi>T</mi></msub><mrow><mo>(</mo><mi>U</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> characteristics. The results demonstrate that as turbine spacing decreases, the velocity deficit behind the turbines increases, leading to significant reductions in AEP and higher energy losses. These effects are particularly pronounced for spacings of 5D and 3D, raising concerns about the economic feasibility of such wind farms. This study also highlights that the proposed updated Jensen model, which accounts for the specific turbine characteristics, provides results that are closer to real-world observations. This study showed that for a Baltic Sea wind farm location, the capacity factor for the wind farm is in the range of 0.366 to 0.476, depending on the turbine spacing. |
| format | Article |
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| institution | Kabale University |
| issn | 2079-3197 |
| language | English |
| publishDate | 2025-01-01 |
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| spelling | doaj-art-b5c2a2854ca540a88dd0212e5b79ed942025-01-24T13:27:49ZengMDPI AGComputation2079-31972025-01-011312010.3390/computation13010020Estimation of Wind Farm Losses Using a Jensen Model Based on Actual Wind Turbine Characteristics for an Offshore Wind Farm in the Baltic SeaZiemowit Malecha0Maciej Chorowski1Department of Cryogenics and Aerospace Engineering, Wroclaw University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wroclaw, PolandDepartment of Cryogenics and Aerospace Engineering, Wroclaw University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wroclaw, PolandThis study investigates the effects of velocity deficits on the performance of wind turbines in multi-row wind farms, focusing on two types of turbines: Gamesa G132 and Gamesa SG8. The analysis examines the impact of turbine spacing on key performance metrics, including Annual Energy Production, energy production losses, and the capacity factor. Two models are used: the classical Jensen model, assuming a constant thrust coefficient (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>C</mi><mi>T</mi></msub></semantics></math></inline-formula>), and an updated model that incorporates the actual turbine-specific <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>C</mi><mi>T</mi></msub><mrow><mo>(</mo><mi>U</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> characteristics. The results demonstrate that as turbine spacing decreases, the velocity deficit behind the turbines increases, leading to significant reductions in AEP and higher energy losses. These effects are particularly pronounced for spacings of 5D and 3D, raising concerns about the economic feasibility of such wind farms. This study also highlights that the proposed updated Jensen model, which accounts for the specific turbine characteristics, provides results that are closer to real-world observations. This study showed that for a Baltic Sea wind farm location, the capacity factor for the wind farm is in the range of 0.366 to 0.476, depending on the turbine spacing.https://www.mdpi.com/2079-3197/13/1/20wind turbine performancevelocity deficitupdated jensen model |
| spellingShingle | Ziemowit Malecha Maciej Chorowski Estimation of Wind Farm Losses Using a Jensen Model Based on Actual Wind Turbine Characteristics for an Offshore Wind Farm in the Baltic Sea Computation wind turbine performance velocity deficit updated jensen model |
| title | Estimation of Wind Farm Losses Using a Jensen Model Based on Actual Wind Turbine Characteristics for an Offshore Wind Farm in the Baltic Sea |
| title_full | Estimation of Wind Farm Losses Using a Jensen Model Based on Actual Wind Turbine Characteristics for an Offshore Wind Farm in the Baltic Sea |
| title_fullStr | Estimation of Wind Farm Losses Using a Jensen Model Based on Actual Wind Turbine Characteristics for an Offshore Wind Farm in the Baltic Sea |
| title_full_unstemmed | Estimation of Wind Farm Losses Using a Jensen Model Based on Actual Wind Turbine Characteristics for an Offshore Wind Farm in the Baltic Sea |
| title_short | Estimation of Wind Farm Losses Using a Jensen Model Based on Actual Wind Turbine Characteristics for an Offshore Wind Farm in the Baltic Sea |
| title_sort | estimation of wind farm losses using a jensen model based on actual wind turbine characteristics for an offshore wind farm in the baltic sea |
| topic | wind turbine performance velocity deficit updated jensen model |
| url | https://www.mdpi.com/2079-3197/13/1/20 |
| work_keys_str_mv | AT ziemowitmalecha estimationofwindfarmlossesusingajensenmodelbasedonactualwindturbinecharacteristicsforanoffshorewindfarminthebalticsea AT maciejchorowski estimationofwindfarmlossesusingajensenmodelbasedonactualwindturbinecharacteristicsforanoffshorewindfarminthebalticsea |