The extended Betz–Lanchester limit

Cuerva Tejero, Alvaro and Sanz Andres, Angel Pedro (2005). The extended Betz–Lanchester limit. "Renewable Energy", v. 30 (n. 5); pp. 783-794. ISSN 0960-1481.


Title: The extended Betz–Lanchester limit
  • Cuerva Tejero, Alvaro
  • Sanz Andres, Angel Pedro
Item Type: Article
Título de Revista/Publicación: Renewable Energy
Date: April 2005
ISSN: 0960-1481
Volume: 30
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Vehículos Aeroespaciales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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A proposal for an extended formulation of the power coefficient of a wind turbine is presented. This new formulation is a generalization of the Betz–Lanchester expression for the power coefficient as function of the axial deceleration of the wind speed provoked by the wind turbine in operation. The extended power coefficient takes into account the benefits of the power produced and the cost associated to the production of this energy. By the simple model proposed is evidenced that the purely energetic optimum operation condition giving rise to the Betz–Lanchester limit (maximum energy produced) does not coincide with the global optimum operational condition (maximum benefit generated) if cost of energy and degradation of the wind turbine during operation is considered. The new extended power coefficient is a general parameter useful to define global optimum operation conditions for wind turbines, considering not only the energy production but also the maintenance cost and the economic cost associated to the life reduction of the machine.

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Item ID: 39747
DC Identifier:
OAI Identifier:
DOI: 10.1016/j.renene.2004.07.017
Official URL:
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 28 Mar 2016 13:17
Last Modified: 28 Mar 2016 13:17
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