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Date of download: 11/7/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 11/7/2017 Copyright © ASME. All rights reserved. From: Stochastic Model for Aerodynamic Force Dynamics on Wind Turbine Blades in Unsteady Wind Inflow J. Comput. Nonlinear Dynam. 2015;10(4): doi: / Figure Legend: Flow chart to iterate for induction factors

2 Date of download: 11/7/2017 Copyright © ASME. All rights reserved. From: Stochastic Model for Aerodynamic Force Dynamics on Wind Turbine Blades in Unsteady Wind Inflow J. Comput. Nonlinear Dynam. 2015;10(4): doi: / Figure Legend: Scheme of force components on blade section. Angles are related to the plane of rotation. (a) Local velocities and flow angles on blade element and (b) local forces on blade element. Taken from Ref. [12].

3 Date of download: 11/7/2017 Copyright © ASME. All rights reserved. From: Stochastic Model for Aerodynamic Force Dynamics on Wind Turbine Blades in Unsteady Wind Inflow J. Comput. Nonlinear Dynam. 2015;10(4): doi: / Figure Legend: Blade segment nomenclature. Taken from Ref. [15].

4 Date of download: 11/7/2017 Copyright © ASME. All rights reserved. From: Stochastic Model for Aerodynamic Force Dynamics on Wind Turbine Blades in Unsteady Wind Inflow J. Comput. Nonlinear Dynam. 2015;10(4): doi: / Figure Legend: Flow chart for aerodynamic calculations

5 Date of download: 11/7/2017 Copyright © ASME. All rights reserved. From: Stochastic Model for Aerodynamic Force Dynamics on Wind Turbine Blades in Unsteady Wind Inflow J. Comput. Nonlinear Dynam. 2015;10(4): doi: / Figure Legend: Excerpt of local axial wind velocity component and AOA time series for a blade element. (a) Local axial wind component experienced by the blade element and (b) local AOA. Note the rotor oscillation at T = 1.13 s in (a) and (b), which possibly stems from ground boundary layer shear effects. The oscillation in (b) is less visible because of short excerpt; however, it is present at the same period.

6 Date of download: 11/7/2017 Copyright © ASME. All rights reserved. From: Stochastic Model for Aerodynamic Force Dynamics on Wind Turbine Blades in Unsteady Wind Inflow J. Comput. Nonlinear Dynam. 2015;10(4): doi: / Figure Legend: Excerpt of the stochastic (Stoch) model, the dynamic stall (Dstall) model, and the classical BEM model aerodynamic forces time series for a blade element. (a) CL,Stoch(t), CL,Dstall(t) and CL,BEM(t), (b) CD,Stoch(t), CD,Dstall(t) and CD,BEM(t), (c) Cn,Stoch(t), Cn,Dstall(t) and Cn,BEM(t), and (d) Ct,Stoch(t), Ct,Dstall(t), and Ct,BEM(t).

7 Date of download: 11/7/2017 Copyright © ASME. All rights reserved. From: Stochastic Model for Aerodynamic Force Dynamics on Wind Turbine Blades in Unsteady Wind Inflow J. Comput. Nonlinear Dynam. 2015;10(4): doi: / Figure Legend: Increment PDFs of the classical BEM model force coefficients for a blade element at time lags τ = (0.03, 0.11, 0.26) s in ascending order from bottom to top. The PDFs are added with a Gaussian fit having identical standard deviation (solid line) and shifted vertically for clarity of the display. The force coefficients are normalized with their standard deviations. (a) Lift coefficient increment δCL(t, τ) PDFs, (b) drag coefficient increment δCD(t, τ) PDFs, (c) normal force coefficient increment δCn(t, τ) PDFs, and (d) tangential force coefficient increment δCt(t, τ) PDFs.

8 Date of download: 11/7/2017 Copyright © ASME. All rights reserved. From: Stochastic Model for Aerodynamic Force Dynamics on Wind Turbine Blades in Unsteady Wind Inflow J. Comput. Nonlinear Dynam. 2015;10(4): doi: / Figure Legend: Increment PDFs of the stochastic model force coefficients for a blade element at time lags τ = (0.03, 0.11, 0.26) s in ascending order from bottom to top. The PDFs are added with a Gaussian fit having identical standard deviation (solid line) and shifted vertically for clarity of the display. The force coefficients are normalized with their standard deviations. (a) Lift coefficient increment δCL(t, τ) PDFs, (b) drag coefficient increment δCD(t, τ) PDFs, (c) normal force coefficient increment δCn(t, τ) PDFs, and (d) tangential force coefficient increment δCt(t, τ) PDFs.

9 Date of download: 11/7/2017 Copyright © ASME. All rights reserved. From: Stochastic Model for Aerodynamic Force Dynamics on Wind Turbine Blades in Unsteady Wind Inflow J. Comput. Nonlinear Dynam. 2015;10(4): doi: / Figure Legend: Increment PDFs of the dynamic stall model force coefficients for a blade element at time lags τ = (0.03, 0.11, 0.26) s in ascending order from bottom to top. The PDFs are added with a Gaussian fit having identical standard deviation (solid line) and shifted vertically for clarity of the display. The force coefficients are normalized with their standard deviations. (a) Lift coefficient increment δCL(t, τ) PDFs, (b) drag coefficient increment δCD(t, τ) PDFs, (c) normal force coefficient increment δCn(t, τ) PDFs, and (d) tangential force coefficient increment δCt(t, τ) PDFs.


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