Generalized filtered lifting line theory for arbitrary chord lengths and application to wind turbine blades

Journal Article · 08 October 2023 · Wind Energy

DOI: https://doi.org/10.1002/we.2872 · OSTI ID:2008127

Martínez‐Tossas, Luis A.  ^[1]; Sakievich, Philip ^[2]; Churchfield, Matthew J. ^[1]; Meneveau, Charles ^[3]

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1. National Wind Technology Center National Renewable Energy Laboratory Golden Colorado USA
2. Sandia National Laboratories Albuquerque New Mexico USA
3. Johns Hopkins University Baltimore Maryland USA

Abstract The filtered lifting line theory is an analytical approach used to solve the equations of flow subjected to body forces with a Gaussian distribution, such as used in the actuator line model. In the original formulation, the changes in chord length along the blade were assumed to be small. This assumption can lead to errors in the induced velocities predicted by the theory compared to full solutions of the equations. In this work, we revisit the original derivation and provide a more general formulation that can account for significant changes in chord along the blade. The revised formulation can be applied to wings with significant changes in chord along the span, such as wind turbine blades.

• Research Organization: National Renewable Energy Laboratory (NREL), Golden, CO (United States); Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: National Science Foundation (NSF); USDOE; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Wind Energy Technologies Office
• Grant/Contract Number: AC36-08GO28308; NA0003525
• OSTI ID: 2008127
• Report Number(s): NREL/JA--5000-85343
• Journal Information: Wind Energy, Journal Name: Wind Energy Journal Issue: 1 Vol. 27; ISSN 1095-4244
• Publisher: Wiley Blackwell (John Wiley & Sons)Copyright Statement
• Country of Publication: United Kingdom
• Language: English