## Validation and modification of the Blade Element Momentum theory based on comparisons with actuator disc simulations

Publication: Research - peer-review › Journal article – Annual report year: 2010

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**Validation and modification of the Blade Element Momentum theory based on comparisons with actuator disc simulations.** / Aagaard Madsen, Helge; Bak, Christian; Døssing, Mads; Mikkelsen, Robert Flemming; Øye, Stig.

Publication: Research - peer-review › Journal article – Annual report year: 2010

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*Wind Energy*, vol 13, no. 4, pp. 373-389. DOI: 10.1002/we.359

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*Wind Energy*,

*13*(4), 373-389. DOI: 10.1002/we.359

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*Wind Energy*. 2010, 13(4). 373-389. Available: 10.1002/we.359

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TY - JOUR

T1 - Validation and modification of the Blade Element Momentum theory based on comparisons with actuator disc simulations

AU - Aagaard Madsen,Helge

AU - Bak,Christian

AU - Døssing,Mads

AU - Mikkelsen,Robert Flemming

AU - Øye,Stig

PY - 2010

Y1 - 2010

N2 - A comprehensive investigation of the Blade Element Momentum (BEM) model using detailed numerical simulations with an axis symmetric actuator disc (AD) model has been carried out. The present implementation of the BEM model is in a version where exactly the same input in the form of non-dimensional axial and tangential load coefficients can be used for the BEM model as for the numerical AD model. At a rotor disc loading corresponding to maximum power coefficient, we found close correlation between the AD and BEM model as concerns the integral value of the power coefficient. However, locally along the blade radius, we found considerable deviations with the general tendency, that the BEM model underestimates the power coefficient on the inboard part of the rotor and overestimates the coefficient on the outboard part. A closer investigation of the deviations showed that underestimation of the power coefficient on the inboard part could be ascribed to the pressure variation in the rotating wake not taken into account in the BEM model. We further found that the overestimation of the power coefficient on the outboard part of the rotor is due to the expansion of the flow causing a non-uniform induction although the loading is uniform. Based on the findings we derived two small engineering sub-models to be included in the BEM model to account for the physical mechanisms causing the deviations. Finally, the influence of using the corrected BEM model, BEMcor on two rotor designs is presented. Copyright © 2009 John Wiley & Sons, Ltd.

AB - A comprehensive investigation of the Blade Element Momentum (BEM) model using detailed numerical simulations with an axis symmetric actuator disc (AD) model has been carried out. The present implementation of the BEM model is in a version where exactly the same input in the form of non-dimensional axial and tangential load coefficients can be used for the BEM model as for the numerical AD model. At a rotor disc loading corresponding to maximum power coefficient, we found close correlation between the AD and BEM model as concerns the integral value of the power coefficient. However, locally along the blade radius, we found considerable deviations with the general tendency, that the BEM model underestimates the power coefficient on the inboard part of the rotor and overestimates the coefficient on the outboard part. A closer investigation of the deviations showed that underestimation of the power coefficient on the inboard part could be ascribed to the pressure variation in the rotating wake not taken into account in the BEM model. We further found that the overestimation of the power coefficient on the outboard part of the rotor is due to the expansion of the flow causing a non-uniform induction although the loading is uniform. Based on the findings we derived two small engineering sub-models to be included in the BEM model to account for the physical mechanisms causing the deviations. Finally, the influence of using the corrected BEM model, BEMcor on two rotor designs is presented. Copyright © 2009 John Wiley & Sons, Ltd.

KW - Wind energy

KW - Aeroelastic design methods

KW - Aeroelastiske designmetoder

KW - Vindenergi

U2 - 10.1002/we.359

DO - 10.1002/we.359

M3 - Journal article

VL - 13

SP - 373

EP - 389

JO - Wind Energy

T2 - Wind Energy

JF - Wind Energy

SN - 1095-4244

IS - 4

ER -