CONTROL TECHNIQUES FOR WAVE ENERGY CONVERTERS

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Oscillating-body dynamics x mx f r f d f r Ax A gSx Bx f m f m B radiation damping added mass Kx Linear spring Cx Linear damper Spring m PTO Damper A and B to be computed (commercial codes WAMIT, AQUADYN, ...) for given ω and body geometry. ( m A) x ( B C) x ( gS K) x f d mass added buoyancy mass radiation PTO PTO damping damping spring Excitation force
Oscillating-body dynamics ( m A) x ( B C) x ( gS K) x f d Method of solution: ( e i t cos t isin t ) • Regular waves • Linear system x( t) Re X0e i t , f d Re F d e i t or simply x t) X e , ( 0 i t f d F d e i t Note : X0, Fd are in general complex amplitudes F d wave amplitude ( ) to be computed for given and body geometry X 0 2 ( m A) i F d ( B C) gS K
Page 1 and 2: SUPERGEN MARINE 7th DOCTORAL TRAINI
Page 3 and 4: Introduction Technology challenge
Page 5 and 6: Introduction The size While, in oth
Page 7 and 8: Oscillating-body dynamics Most wave
Page 9: Oscillating-body dynamics Frequency
Page 13 and 14: Oscillating-body dynamics Capture w
Page 15 and 16: ma Oscillating-body dynamics Exampl
Page 17 and 18: PTO system Body 1 Body 2 WAVEBOB
Page 19 and 20: Oscillating-body dynamics x m Time
Page 21 and 22: PTO Equipment High-pressureoil PTO
Page 23 and 24: PTO Equipment High-pressure-oil PTO
Page 25 and 26: PTO Equipment High-pressure-oil PTO
Page 27 and 28: Oscillating-body dynamics Buoy LP g
Page 29 and 30: Avoid overdamping and underdamping.
Page 31 and 32: CONTROL OF WAVE ENERGY CONVERTER No
Page 33 and 34: CONTROL OF WAVE ENERGY CONVERTER Co
Page 35 and 36: Oscillating-body dynamics For point
Page 37 and 38: Oscillating-body dynamics Phase-con
Page 39 and 40: Numerical simulations of phase cont
Page 41 and 42: REGULAR WAVES Period T = 9 s Amplit
Page 43 and 44: 250 200 P(kW) 150 100 50 G is optim
Page 45 and 46: T e 7 s, Hs 2 m 25 kW P 2 H s m 2 2
Page 47 and 48: T e 11 s, Hs 2 m 30 P 2 H s 20 4 28
Page 49 and 50: d x d t Hs s 1 , 1 0 fd Hs M N m d
Page 51 and 52: Oscillating-body dynamics Phase con
Page 53 and 54: WAVE ENERGY TECHNOLOGIES Oscillatin
Page 55 and 56: IPS Buoy Wave Bob AquaBuoy Hose pum
Page 57 and 58: Two-body motion, linear PTO Coordin
Page 59 and 60: Radius of buoy = 7.5 m Mass of buoy
Page 61 and 62:
T 8s T 12 10s 3 2,5 2 1,5 1 0,5 0 2
Page 63 and 64:
T e 8s T e 10s 5 4 3 2 1 0 25 20 15
Page 65 and 66:
T e 8s T e 10s 12s 0,48 0,47 0,46 0
Page 67 and 68:
1a LP gas accumulator HP gas accumu
Page 69 and 70:
Non-linear PTO: time-domain analysi
Page 71 and 72:
0,4 0,3 * P irr 0,2 R=1 R=2 R=4 a M
Page 73 and 74:
0,4 a M M * 2 7.5m * 1b 1 0,3 * P i
Page 75 and 76:
CONCLUSIONS • A two-body system w
Page 77 and 78:
Power output The problem: • The p
Page 79 and 80:
OWC Dynamics m (t) V0 p(t) air volu
Page 81 and 82:
OWC Dynamics Frequency domain m (t)
Page 83 and 84:
OWC Dynamics m (t) Time domain: •
Page 85 and 86:
OWC Dynamics Numerical application
Page 87 and 88:
OWC Dynamics Stochastic modelling W
Page 89 and 90:
OWC Dynamics Stochastic model: •
Page 91 and 92:
Time-averaged turbine power output
Page 93 and 94:
Example: Pico OWC plant with 2.3m W
Page 95 and 96:
Rated power (kW) Annual averaged ne
Page 97:
THANK YOU FOR YOUR ATTENTION J.M.W.
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CONTROL TECHNIQUES FOR WAVE ENERGY CONVERTERS

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