A review of momentum models for the actuator disk in yaw

Hur, Chihoon; Berdowski, T.; Ferreira, Carlos; Schepers, Gerard; Boorsma, K.

doi:10.2514/6.2019-1799

Cited by 3 publications

(14 citation statements)

References 9 publications

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“…Yaw momentum models are explained in the literature [8]. Among various yaw engineering models, Øye's model is selected since this model can predict the non-linear radial dependency of induction field.…”

Section: Engineering Models 211 Yaw Momentum Engineering Modelsmentioning

confidence: 99%

“…In order to couple yaw and dynamic inflow models, the modification of dynamic inflow model is necessary. Current dynamic inflow models assume the momentum balance which is C T = 4a(1 − a), where a is the induction factor, and this assumption is not valid for yawed flow [8]. For yawed flow, the momentum relation is described in Equation ( 1), which was suggested by Glauert [15].…”

Section: Coupling Yaw and Dynamic Inflow Engineering Modelsmentioning

confidence: 99%

“…The two time constants tau 1 and tua 2 are calibrated based on the prescribed vortex ring model which is introduced in literature [14], and Snel and Schepers [16] suggested the time constants as Equations ( 7) and (8). Yu also explained Øye dynamic inflow model in her PhD thesis [17]:…”

Section: øYe Dynamic Inflow Model For Yawed Flowmentioning

confidence: 99%

“…Those assumptions are relaxed by engineering models to capture unsteady and yaw effects. However, current yaw momentum engineering models are inaccurate since they do not consider asymmetric wake expansion effects [8]. Rahimi also highlighted that significant deviations of the current yaw engineering models occur for yawed flow [9].…”

Section: Introductionmentioning

confidence: 99%

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Applicability of Dynamic Inflow Models of HAWT in Yawed Flow Conditions

2022

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Horizontal axis wind turbines (HAWTs) experience yaw misalignments due to the physical limitations of yaw controllers and various novel active yaw controls. Moreover, the motion of floating offshore wind turbines (FOWTs) accelerates yaw misalignment. The blade element momentum (BEM) method is widely used due to its computational efficiency for the design of HAWTs. Momentum theory, the basis of BEM, assumes steady flow and uniform induction field at the disc. Those assumptions are relaxed by engineering models to capture yaw and unsteady effects. Current yaw engineering models, however, are inaccurate since they do not capture the asymmetric wake expansion effect. Dynamic inflow models have been developed for non-yawed flow. Furthermore, the AVATAR project shows that BEM using fully coupled engineering models, the current yaw, dynamic inflow and various engineering models, suffers from significant deficiencies. This purpose of this paper, therefore, is to investigate dynamic effects for yawed flow, and determine if current dynamic inflow models are applicable in yawed conditions. The Glauert’s modified momentum theory is applied to dynamic inflow models to couple the two models. Among all coupled models, Øye, Yu PWVM and Yu FWVM DIM can capture asymmetric trends. However, the results show the significant deficiencies in phase delay on the actuator disc.

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Section: Engineering Models 211 Yaw Momentum Engineering Modelsmentioning

confidence: 99%

Section: Coupling Yaw and Dynamic Inflow Engineering Modelsmentioning

confidence: 99%

Section: øYe Dynamic Inflow Model For Yawed Flowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Applicability of Dynamic Inflow Models of HAWT in Yawed Flow Conditions

2022

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“…Tower shadow effect is the alteration in uniform inflow due to the presence of the tower, using potential flow theory Das et al 35 modeled the tower impact as function of the blade azimuthal position and the blade radius analyzed (see Equation 9). ( 24) Many different yaw models exist 48 with various level of complexity and agreement based on the chosen dataset. After benchmarking three different models [6][7][8] against a dedicated test case in the DANAERO database, the authors have chosen to use the yaw model from Blondel et al 6 (see Equation 11) because of its better fit on the test case.…”

Section: Wind Inflow Location Correctionmentioning

confidence: 99%

Analysis of the DANAERO wind turbine field database to assess the importance of different state‐of‐the‐art blade element momentum (BEM) correction models

Potentier

Braud

Guilmineau

et al. 2021

Energy Science & Engineering

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Modelling the induction, thrust and power of a yaw-misaligned actuator disk

2023

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Collective wind farm flow control, where wind turbines are operated in an individually suboptimal strategy to benefit the aggregate farm, has demonstrated potential to reduce wake interactions and increase farm energy production. However, existing wake models used for flow control often estimate the thrust and power of yaw-misaligned turbines using simplified empirical expressions that require expensive calibration data and do not extrapolate accurately between turbine models. The thrust, wake velocity deficit, wake deflection and power of a yawed wind turbine depend on its induced velocity. Here, we extend classical one-dimensional momentum theory to model the induction of a yaw-misaligned actuator disk. Analytical expressions for the induction, thrust, initial wake velocities and power are developed as a function of the yaw angle ( $\gamma$ ) and thrust coefficient. The analytical model is validated against large eddy simulations of a yawed actuator disk. Because the induction depends on the yaw and thrust coefficient, the power generated by a yawed actuator disk will always be greater than a $\cos ^3(\gamma )$ model suggests. The power lost due to yaw misalignment depends on the thrust coefficient. An analytical expression for the thrust coefficient that maximizes power, depending on the yaw, is developed and validated. Finally, using the developed induction model as an initial condition for a turbulent far-wake model, we demonstrate how combining wake steering and thrust (induction) control can increase array power, compared to either independent steering or induction control, due to the joint dependence of the induction on the thrust coefficient and yaw angle.

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A review of momentum models for the actuator disk in yaw

Cited by 3 publications

References 9 publications

Applicability of Dynamic Inflow Models of HAWT in Yawed Flow Conditions

Applicability of Dynamic Inflow Models of HAWT in Yawed Flow Conditions

Analysis of the DANAERO wind turbine field database to assess the importance of different state‐of‐the‐art blade element momentum (BEM) correction models

Modelling the induction, thrust and power of a yaw-misaligned actuator disk

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