MS Thesis R. Hager - Hawaii National Marine Renewable Energy ...

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P I Iw dS (70)tnSIf the column moves with a constant velocity along the x-axis, the power flux of the incidentwave across a fixed control surface is:tIcosh( k(z d )) Agcos( kx t)cosh( kd )xIAgkcosh( k(z d))cos( kx t)cosh( kd )Thus:2 2gA kPw122 cosh ( kd)d02cosh ( k(z d))dz (71)Note higher order terms are neglected, and thus, the power of the wave is integrated from -dto 0 with respect to the z-axis.P w2 2 g A tanh( kd) 2kd 12 2 sinh(2kd)Pw22gAgH Cg C (72)g2 83.7 Absorbed Wave PowerThe time-averaged wave power absorbed for a single, heaving body is 2 (Evans, 1976):PTitit(X F ) e Ue 1T ro0dt (73) 3where,U U e oitThus,2 The superimposed bar indicates a complex conjugate3 < > indicates a time averaged term52
(1P X F r) U o2As previously defined:F ( BU MU) or(P 1 X ( BUo MU o)) U2ooU o U o 0Thus,P1 21XUoBUoUo2PXXB8B U2 oXB2UoXB2(74)The real interest is to optimize the power, thus the latter term should go to zero so that Pis maximized. Therefore, the maximum absorbed power is:PX2i8Bmax (75)ijMaximum power absorption occurs at:UjX2Bi (76)ijMaximum power absorbed for a two-dimensional, heaving bodyRecallgCBijg 2 22 XigACgi 2Thus,53
Page 1 and 2: Geometric Effects on Maximum Power
Page 3 and 4: ABSTRACTNumerical simulations are c
Page 5 and 6: 3.7 Absorbed Wave Power ...........
Page 7 and 8: LIST OF FIGURESFigurePageFigure 1.1
Page 9 and 10: NOMENCLATUREA=incident wave amplitu
Page 11 and 12: 1.2 Advantages of Wave EnergyAdvant
Page 13 and 14: for various projects. Included in t
Page 15 and 16: pollution would occur from hydrauli
Page 17 and 18: Figure 1. 7 Average Annual Wave Pow
Page 19 and 20: Backer (2009) numerically and exper
Page 21 and 22: CHAPTER 2. WAVE ENERGY CONVERSION D
Page 23 and 24: 2.3 OrientationOrientation is defin
Page 25 and 26: Figure 2.4 Oscillating Water Column
Page 27 and 28: 2.5 Reference PointMeans of reactio
Page 29 and 30: Linear GeneratorTurbineRotary Gener
Page 31 and 32: Table 2. 1 WEC ClassificationsDevic
Page 33 and 34: 33P.T.O.MooringReferencePointOperat
Page 35 and 36: CHAPTER 3. THEORY AND GOVERNING EQU
Page 37 and 38: F(x,z,t) z 0DFDtFt u F 0 0 (4
Page 39 and 40: in ni(13)on S for i=1, 3in( r n)i3
Page 41 and 42: I iAg e ekz i( kx t)(30)cosh( k(z
Page 44 and 45: where ijkis the permutation symbol.
Page 46 and 47: Mw k ieitS( D I) ijkrinjdS(46)3.3.3
Page 48 and 49: Due to Kirchhoff decomposition, rec
Page 50 and 51: TE KE PE 20L Asin(kx) 1 2(61)dV d
Page 54 and 55: 221 2P gA C(77)max g2 3.8 Maximum
Page 56 and 57: 4.2 AQWA Modeling ProcedureThe user
Page 58 and 59: : Local data has changed, and the c
Page 60 and 61: Figure 4. 5 Drawing in Design Modul
Page 62 and 63: 12. Delete all lines inside the cur
Page 64 and 65: 22. Edit the details of the slice u
Page 66 and 67: Figure 4. 15 Details of the Part7.
Page 68 and 69: Figure 4. 17 Details of the Mesh4.2
Page 70 and 71: Figure 4. 21 Detials of the Wave Di
Page 72 and 73: 5. Highlight Diffraction + Froude-K
Page 74 and 75: Table 4.1 Body Dimensions for Numer
Page 76 and 77: concavity from concave down to conc
Page 78 and 79: Figure 4. 29 Maximum Power Absorpti
Page 80 and 81: Table 4. 3 Numerical ResultsBodyNo.
Page 82 and 83: BodyNo.Bodyλ atT=2.1λ atT=1.0λ a
Page 84 and 85: WAVEFigure 5. 1 Body Faces Wave Mak
Page 86 and 87: The body connects to the aluminum p
Page 88 and 89: also allowed for flexibility in cre
Page 90 and 91: AB1 23 4 5 6 7CD8 9 10 11EFigure 5.
Page 92 and 93: and minimum voltage range of the DA
Page 94 and 95: Figure 5. 11 Deleting a Step from L
Page 96 and 97: Figure 5. 14 Recording Options, Sig
Page 98 and 99: Figure 5. 17 Right-mouse Click on t
Page 100 and 101: Zero-OffsetThe Zero-Offset step rem
Page 102 and 103:
Figure 5. 24 Filter Step Set-up, Co
Page 104 and 105:
5.6 Data ProcessingFigure 5. 26 Wav
Page 106 and 107:
5.8 Experimental DiscussionAs menti
Page 108 and 109:
5.8.3 Suggestions for Future Resear
Page 110 and 111:
110ikxxRekddzkgkn )cosh())(cosh(,
Page 112 and 113:
Proof M ij and B ij are Symmetric T
Page 114 and 115:
BIBILIOGRAPHYANSYS. (n.d.). ANSYS A
Page 116:
Trust, C. (2011). Capital, Operatin
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