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Stuttgart Wind Energy (SWE)

@ Institute of Aircraft Design Stuttgart Wind Energy (S

Evaluation of control methods for floating offshore wind turbines

Wei ei YuuYu, Frank Lemmer, David Schlipf, Po Weei YuYu Frank , F

er, Harmen Links, Wen Chen

Neelabhhenngg, arBart isseVi er hh Gupta, Sabrina r H, HHarmen Links

aa Dankemanninkss, nn nn, Neelabhh GuptG

Bernardino ta, Sabrin Gupt

o o Counago

naa ankemanD brin go go, Jose Serna

¾How great is the impact of controller on FOWTs?

¾What makes controlling FOWTs difficult ?

¾How well do the state-of-art control methods work?

2

Background & Motivation

[esteyco]

EU Horizon 2020 project: TELWIND Cost reduction for floating offshore turbine

Evolved spar concept

Telescopic tower

Local and low cost material usage: Concrete

Simpler manufacturing and installation processes

University of Stuttgart, Stuttgart Wind Energy (SWE) @ Institute of Aircraft Design

23.01.2018 23.01.201..001111.222220180180101000011888888888 3

Physical: Negative aerodynamic damping What makes controlling FOWTs difficult ?

3 University of Stuttgart, Stuttgart Wind Energy (SWE) @ Institute of Aircraft Design

Applying conventional on-shore controller to FOWT leads to the instability problem

Larsen, T. J., and Hanson, T. D., 2007. “A method to avoid negative damped low frequent tower vibrations for a floating, pitch controlled wind turbine”. Journal of Physics: Conference Series, 75(1), p. 012073.

Proportional gain: Kp Integral gain: Kp/Ti

-0.03 -0.02 -0.01 0 0.01 0.02 0.03

Open-loop transfer function pole-zero

-0.03 -0.02 -0.01 0 0.01 0.02 0.03

Closed-loop with different gains at 16m/s

low gain median gain high gain

University of Stuttgart, Stuttgart Wind Energy (SWE) @ Institute of Aircraft Design 4

Control theory: Right-half-plane-zero (RHPZ) What makes controlling FOWTs difficult ?

Transfer Function Wind turbine G(s)

Gen-speedȳ

stable stable unstable

University of Stuttgart, Stuttgart Wind Energy (SWE) @ Institute of Aircraft Design 5

Selection of theoretical methods

How good do the state-of-art controllers work?

Wind turbine Different control methods used for FOWT by

modifing Baseline controller:

ƒ Single-input-single-output (SISO):

Detuning / scheduled detuning

ƒ Multi-input-single-output (MISO):

Ptfm damper - feedback of Ptfm-Pitch to Blade-Pitch

ƒ Multi-input-single-output (MIMO):

Compensator - feedback of Ptfm-Pitch to Generator torque

Evaluation tool:

ƒ Linear analysis: simplified linear mdoel with 5 DOF (SLOW)

ƒ Coupled aero-hydro-servo-elastic nonlinear model (Bladed v4.7)

Baseline controller

Detuning method could lead to negative gains at higher wind speed

University of Stuttgart, Stuttgart Wind Energy (SWE) @ Institute of Aircraft Design 6

Simple approach

1DOF Drivetrain: second order differential system ܫௗ௥௜௩௘߮+ ߲ܯ௔௘௥௢

߲ߠ ܭሶ߮+ ߲ܯ௔௘௥௢

߲ߠ ܭ

ܶ߮= 0 Eigen-frequency of the drivetrain motion should be lower than the Ptfm eigen-frequency

12 14 16 18 20 22 24

Wind speed [m/s]

0

Wind speed [m/s]

-10 0 10 20

Ti [s]

12 14 16 18 20 22 24 Wind speed [m/s]

0

Wind speed [m/s]

-10 0 10 20

Ti [s]

University of Stuttgart, Stuttgart Wind Energy (SWE) @ Institute of Aircraft Design 7

Scheduling at different wind speeds SISO: Detuning

Closed-loop with different gains at 16m/s

low gain

Closed-loop with different gains at 24m/s

low gain median gain high gain

RHPZ problem differs from the operating wind speed, thus detuning should be applied according to the operating point

Stable with higher gain at 24m/s unstable

stable

unstable stable

University of Stuttgart, Stuttgart Wind Energy (SWE) @ Institute of Aircraft Design 8

Trade-off between system stability and control performance SISO: Detuning

Higher stability is at the cost of the control performance.

Closed-loop with different dampers at 16m/s

no damper soft damper median damper hard damper

University of Stuttgart, Stuttgart Wind Energy (SWE) @ Institute of Aircraft Design 9

How does it work?

MISO: Feedback of Ptfm-Pitch to Blade-pitch

Wind turbine ȳ ߠ increase the pitch stability, however the trade-off between stability and control performance still exist.

Problem with wave

MISO: Feedback of Ptfm-Pitch to Blade-pitch

Wind turbine ȳ ߠ

Due to the difficulty on filtering out the signal in wave frequencies, Ptfm Damper doesn‘t work well for Ptfms with pitch eigen-frequency close to the wave frequencies,

University of Stuttgart, Stuttgart Wind Energy (SWE) @ Institute of Aircraft Design

300 350 400 450 500 550 600 650 700

Time [s]

-0.01 -0.005 0 0.005

0.01 PtfmPitch velocity without wave [rad/s]

original filtered

400 420 440 460 480 500 520 540 560 580 600

Time [s]

-0.01 0 0.01

PtfmPitch velocity with wave [rad/s]

original

Bode plot of the Ptfm-pitch velocity filter

low bandwidth

University of Stuttgart, Stuttgart Wind Energy (SWE) @ Institute of Aircraft Design 11

How does it work?

MIMO: Feedback of Ptfm Pitch to Gen Torque

Wind turbine ȳ ߠ

Closed-loop with different Compensators at 16m/s

no compensate can solve the trade-off problem by moving the positive zero to the left s-place, however will increase the maximum loads on the generator torque.

12

How great is the impact of controller on FOWTs?

Wind: [12, 16, 20, 24] m/s, IEC3-A class Wave:Hs 5.7 [m], Tp 11.5 [s]

0.3 Simple detuning

Scheduled detuning

Wind turbine ȳ ߠ

University of Stuttgart, Stuttgart Wind Energy (SWE) @ Institute of Aircraft Design 13

Conclusion

• System motions and loads are strongly influenced by the controller. These can be significantly reduced by a well designed controller.

• Additional loops can improve the control performance. However, all of the state-of-art approaches have drawbacks.

• Improvement of control performance in wave frequency region is difficult with current sensor and actuators.

e-mail

phone +49 (0) 711 685-fax +49 (0) 711 685-University of Stuttgart

Thank you!

Wei Viola Yu

68240 yu@ifb.uni-stuttgart.de

EERA DeepWind'2018 - Wednesday, the 17th of January 2018 - V. Leroy 1

V

Vincent LEROY1, 2 PhD Student

J.-C. GILLOTEAUX1, A. COMBOURIEU2, A. BABARIT1, P. FERRANT1

1LHEEA – Centrale Nantes – 1, rue de la Noë – 44321 Nantes - FRANCE

2INNOSEA – 1 rue de la Noë – 44321 Nantes - FRANCE

Impact of the aerodynamic model on the modelling of the behaviour of a Floating Vertical Axis Wind Turbine

Unsteady aerodynamics of a VAWT at sea

EERA DeepWind'2018 - Wednesday, the 17th of January 2018 - V. Leroy 2

D

DeepWind VAWT (Paulsen et al., 2014)

Aerodynamic modelling of VAWTs

ƒ AAmongst other theories…

Inviscid models can usually account for viscous effects with ssemi empirical models

EERA DeepWind'2018 - Wednesday, the 17th of January 2018 - V. Leroy 3

Assumptions Pros Cons

DMS [1]

Double Multiple Streamtube

Steady Inviscid flow Actuator disks

Fast State-of-the-art

Steady Problems at h high TSRs

AC [2]

Actuator Cylinder

Steady, 2D, Inviscid, Incompressible flow

Fast

Accurate cylindrical swept surface

Viscous models added

Steady flow Difficult to go 3D

FVW [3]

Free Vortex Wake + lifting line theory

Potential flow Lifting line

Unsteady aerodynamics Inherent rotor/wake and wake/wake interactions

High CPU cost

CFD

Actuator line + RANS LES, …

Various… More accurate Very high CPU

cost

[1] (Paraschivoiu, 2002) [2] (Madsen, 1982) [3] (Murray et al., 2011)

Which model can we use for a FVAWT ?

EERA DeepWind'2018 - Wednesday, the 17th of January 2018 - V. Leroy 4