Effect of free surface deformation on the extractable power of a finite width turbine array
The effect of free surface deformation on the power extracted by a tidal turbine array partially spanning a wide channel is investigated using a theoretical model. Two predominant flow scales are assumed; turbine-scale flow, and array-scale flow, which are analysed as quasi-inviscid open channel flo...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Published: |
Elsevier
2015
|
| _version_ | 1797058669134741504 |
|---|---|
| author | Vogel, C Houlsby, G Willden, R |
| author_facet | Vogel, C Houlsby, G Willden, R |
| author_sort | Vogel, C |
| collection | OXFORD |
| description | The effect of free surface deformation on the power extracted by a tidal turbine array partially spanning a wide channel is investigated using a theoretical model. Two predominant flow scales are assumed; turbine-scale flow, and array-scale flow, which are analysed as quasi-inviscid open channel flow problems in which conservation of mass, momentum, and energy are considered, and coupled through kinematic and dynamic boundary conditions. Power extraction may be maximised by determining the optimum inter-turbine spacing, which also enhances efficiency (ratio of power generated to power removed from the flow). Power extraction and efficiency increase as Froude number increases, improving open channel array performance. In the infinitely wide channel limit, the extracted power depends only on Froude number and local blockage (ratio of turbine to local flow passage areas). At zero Froude number, the peak power coefficient increases from the Lanchester-Betz limit (0.593) to 0.798, occurring when the local blockage ratio is approximately 0.4. Froude numbers in the range of 0.1-0.2, typical of prospective tidal energy sites, increase the peak power coefficient by an additional 1%-4.5% when the array occupies a negligible fraction of the channel, increasing further as a greater proportion of the channel is occupied. |
| first_indexed | 2024-03-06T19:53:32Z |
| format | Journal article |
| id | oxford-uuid:24c7fa84-7794-4e41-b548-b01302644084 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:53:32Z |
| publishDate | 2015 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:24c7fa84-7794-4e41-b548-b013026440842022-03-26T11:51:59ZEffect of free surface deformation on the extractable power of a finite width turbine arrayJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:24c7fa84-7794-4e41-b548-b01302644084Symplectic Elements at OxfordElsevier2015Vogel, CHoulsby, GWillden, RThe effect of free surface deformation on the power extracted by a tidal turbine array partially spanning a wide channel is investigated using a theoretical model. Two predominant flow scales are assumed; turbine-scale flow, and array-scale flow, which are analysed as quasi-inviscid open channel flow problems in which conservation of mass, momentum, and energy are considered, and coupled through kinematic and dynamic boundary conditions. Power extraction may be maximised by determining the optimum inter-turbine spacing, which also enhances efficiency (ratio of power generated to power removed from the flow). Power extraction and efficiency increase as Froude number increases, improving open channel array performance. In the infinitely wide channel limit, the extracted power depends only on Froude number and local blockage (ratio of turbine to local flow passage areas). At zero Froude number, the peak power coefficient increases from the Lanchester-Betz limit (0.593) to 0.798, occurring when the local blockage ratio is approximately 0.4. Froude numbers in the range of 0.1-0.2, typical of prospective tidal energy sites, increase the peak power coefficient by an additional 1%-4.5% when the array occupies a negligible fraction of the channel, increasing further as a greater proportion of the channel is occupied. |
| spellingShingle | Vogel, C Houlsby, G Willden, R Effect of free surface deformation on the extractable power of a finite width turbine array |
| title | Effect of free surface deformation on the extractable power of a finite width turbine array |
| title_full | Effect of free surface deformation on the extractable power of a finite width turbine array |
| title_fullStr | Effect of free surface deformation on the extractable power of a finite width turbine array |
| title_full_unstemmed | Effect of free surface deformation on the extractable power of a finite width turbine array |
| title_short | Effect of free surface deformation on the extractable power of a finite width turbine array |
| title_sort | effect of free surface deformation on the extractable power of a finite width turbine array |
| work_keys_str_mv | AT vogelc effectoffreesurfacedeformationontheextractablepowerofafinitewidthturbinearray AT houlsbyg effectoffreesurfacedeformationontheextractablepowerofafinitewidthturbinearray AT willdenr effectoffreesurfacedeformationontheextractablepowerofafinitewidthturbinearray |