Tidal/current energy harvesting using the phenomenon of ...
Transcript of Tidal/current energy harvesting using the phenomenon of ...
![Page 1: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/1.jpg)
1 October 28, 2015
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV) By Andrei Metrikine (homepage.tudelft.nl/v5u5c/)
![Page 2: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/2.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
2
Content
1. Main types of current energy converters: uniform motions versus self-excited vibration.
2. VIVACE system (developed and patented by the University of Michigan)
3. Von Karman vortex street
4. The Vortex-Induced Vibration phenomenon
5. Pros and cons and a way forward.
![Page 3: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/3.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
3
Horizontal- and vertical axis turbines
Uniform motion
![Page 4: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/4.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
4
Hydrofoil and tidal kite
Self-excited vibration
![Page 5: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/5.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
5
VIVACE
http://www.vortexhydroenergy.com
![Page 6: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/6.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
6
Von Karman vortex street
![Page 7: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/7.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
7
The origin of VIV studies in offshore engineering
![Page 8: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/8.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
8
Power of VIV: full-scale impression
![Page 9: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/9.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
9
Experiments and countermeasures (when needed)
![Page 10: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/10.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
10
The Strouhal frequency
s
s is the vortex shedding frequency of a stationary cylinder is the diameter of the cylinderis the flow velocity
Stf VD
fDV
=
![Page 11: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/11.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
11
The lift and drag coefficients for stationary cylinders
2
2
The lift coefficient: 0.5
The drag coefficient: 0.5
LL
DD
FCDLVFCDLV
ρ
ρ
=
=
![Page 12: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/12.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
12
VIV of an elastically supported cylinder
![Page 13: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/13.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
13
2k
2k
2c
2c
VIV of an elastically supported cylinder
![Page 14: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/14.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
14
Results of the free vibration experiment
( )n nV V Df= ( )n nV V Df=
x max
max
cyl n
y
A X DA Y Df f f
==
=
VIV is a synchronization phenomenon
![Page 15: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/15.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
15
The synchronization phenomenon
in-phase synchronization
An original drawing by Christiaan Huygens
illustrating his experiments with pendulum clocks
(17th sentury)
anti-phase synchronization
synchronization with an arbitrary
phase shift
no synchrony
http://www.scholarpedia.org/article/Synchronization
![Page 16: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/16.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
16
The forced vibration experiment
Added Mass Added Damping
negative
![Page 17: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/17.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
17
The wake oscillator model: idea
!!q + ε (q2 −1) !q + q = A!!y
Equation of Motion of the Structure:
Oscillator:
,A ε Tuning parameters:
Model by Facchinetti et al. (2004)
!!y + 2 ζ Ωn +M St__⎛
⎝⎜⎞⎠⎟
−1
Cx00
⎛
⎝⎜⎜
⎞
⎠⎟⎟!y +Ωn
2 y = M St__⎛
⎝⎜⎞⎠⎟
−2
Cy10 q,
![Page 18: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/18.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
18
Generalization to large angles
!!y + 2 ζ Ωn !y + Ωn2 y = M St
__⎛⎝⎜
⎞⎠⎟
−2
− !ySt__
Cx00 + qCy1
0⎛⎝⎜
⎞⎠⎟
1+ St__⎛
⎝⎜⎞⎠⎟
2
!y2 4,
!!q + ε(q2 −1) !q + q = A!!y
!!y + 2 ζ Ωn !y + Ωn2 y = M St
__⎛⎝⎜
⎞⎠⎟
−2
− !ySt__
Cx00 + qCy1
0⎛⎝⎜
⎞⎠⎟
!!q + ε(q2 −1) !q + q = A!!y
Model by Facchinetti et al. (2004)
Model by Ogink & Metrikine (2010)
![Page 19: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/19.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
19
Back to VIVACE
![Page 20: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/20.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
20
Back to VIVACE
• The VIVACE converter is a transformational technology.
• It taps into a vast new source of clean and renewable energy, that of water currents as slow as 1 to 2 m/s, previously off limits to conventional turbine technology.
• The vast majority of river/ocean currents are slower than 1.5 m/s.
![Page 21: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/21.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
21
VIV energy generation: strong point
Occurs in a large range of current velocities and is easily tuneable.
![Page 22: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/22.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
22
VIV energy generation: weak point
Currently captures moderate amount of kinetic energy of currents Obvious solution: arrays and use of the wake-induced vibration
![Page 23: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/23.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
23
Recent theoretical findings
![Page 24: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/24.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
24
Recent theoretical findings
The synchronization range can be expanded and as much as needed kinetic energy can be captured
![Page 25: Tidal/current energy harvesting using the phenomenon of ...](https://reader035.fdocuments.net/reader035/viewer/2022072417/62dc85bff7de9205436ccaa3/html5/thumbnails/25.jpg)
Tidal/current energy harvesting using the phenomenon of Vortex Induced Vibration (VIV)
25
Thank you for your attention