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20t Per 5-8 Ab Thi oce and flui stru axi flow inv onl Ele sim A m obs pro amp dam Int The inv the Geo Flo occ und eno clas hav sho are any Figu and Ov har On ind obj freq cre th Australasian rth, Australia 8 December 201 bstract is paper investi ean renewable d tidal stream en id-elastic insta ucture results in s. The use of ws has receive vestigation exam ly, covering p ectrical eddy cu mulate the powe maximum pow served at the ovided an imp plitude and fr mping. roduction e subject of flu vestigated for it work by Du an oola [4]. ow-induced osc cur when an el der conditions w ough to decay ssified into tw ving its own s ould be noted th not independen y given time [14 ure 1. Flow-indu d Armandei [7]) er the past deca rvesting potenti e of the FIV m duced vibration ect in a flow ca quencies. A f ated and imple Fluid Mechanic 16 Tors i S igated the poten energy mecha nergy. The tors ability. Steady n oscillatory ro this mechanism ed very little mined the perf plate aspect ra urrent damping er take-off or en wer extraction e lowest aspect proved underst requency are a uid flow-induce ts detrimental e nd Sun [5], Tho illations are th lastic restrained when the struc the motion [ wo types, reson sub-classificatio hat the basic ty nt, and there m 4]. uced oscillations ade, the marine al of flow-indu mechanism prop ns (VIV). The auses the structu ew groups of emented device cs Conference i onal Gal l School of Me University o ntial of torsiona anism to harve sional galloping uniform fluid otational motion m to harvest th attention to d ormance of fla atios ranging f g was applied nergy harvesting fficiency of a m ratio trialled. tanding of ho affected by the ed vibration (FI effects on mari orsen et al. [16] e vibrations of d structure is e ctural damping [17]. These os nance and insta ons, as shown ypes of flow-ind ay be more than flow chart (adap e current and ti uced vibration h posed for this shedding of ure to vibrate at researchers h es which are ab l oping Ma B. Stappen echanical, M of Wollongon al galloping as st marine curr g phenomenon i d flow past n around a cent he energy in flu date. The pres at plate structu from 0.4 to 1 to the system g from the devi modest 5.1% w The study a ow the respon e power take- IV) has long be ine structures ( ] and Bokaian a f an object, wh excited by a fl is not signific scillations can ability, with ea n in Figure 1. duced oscillatio n one occurring pted from Fernan dal stream ener has been explor purpose is vor vortices from t one of its natu have successfu ble to harvest arine Cur nbelt and A aterials and g, New Sout an rent is a the tral uid ent ures 1.5. to ice. was also nse -off een (e.g and ich ow ant be ach It ons g at ndes rgy red. rtex an ural ully the en Jo Al en re [1 sp un be [7 ex Ga flo su tra oc tra (p de ro ga so In tor os re thr thr co po Ad di ran wi Fig ph Th tor en wa of r rent Ene . D. Johnsto Mechatronic th Wales, 252 nergy for power ohnstone and St lso of growing nergy extraction strained structu 0, 11] for exam plitter-plates w niform flow. To een examined re , 8], provided xperimentation w alloping can be ow induced vib ustained manne anslating or to ccurs when the ansverse (perp arallel to fluid efined as the o tate on a hinged alloping, requir oft galloping, wh n their study rsional gallopi scillatory motio duced velocitie resholds (see F reshold reduce onstant extrem osition, provide dditionally, Fer splacement am nge. Only sligh ith increasing re gure 2. Torsi henomenological he present pape rsional gallopin nergy. The fun as examined w ff (PTO) dampin rgy Extr a one c Engineering 22, Australia r generation fro appenbelt [11] g interest in the n is the gallop ure. In the stud mple, translatio was employed o a far lesser de ecently. The stu numerical ana with an associa e defined as a hy bration which c er in a single orsional motio structure unde pendicular to d flow), or bo oscillatory moti d axis [9]. It ca ing an external hich is self-init of low-head ing, Fernandes ons were only p es, having we Figure 2). No os d velocity and me deflection o ed an upper rnandes and Arm mplitude and ht increases in r educed velocity ional galloping modelling (adapt er continues the ng to harvest damental case with particular fo ng and plate asp action g a om VIV (e.g. B and Liu et al. [ e field of flow ping instability ies by Johnston onal galloping to extract en egree, torsional udies by Fernan alysis of torsio ated energy harv ydrodynamic in causes a structu degree of fre on [17]. Trans ergoes oscillati fluid flow) oth [17]. Tors ion when the s an be further def l influence to s iating [13]. hydropower e s and Armand produced over ell defined min scillations were static instabili of the object limit to the g mandei [7] note response frequ response ampli y. g amplitude p ted from Fernand e investigation marine curren of flat plate t ocus on the eff pect ratios. Bernitsas et al. 12]). w-induced vibra y of an elastic ne and Stappen of a cylinder w nergy from ste l galloping has ndes and Arman onal galloping vesting device. nstability; a typ ure to oscillate eedom in eithe slational gallop ons which may [15], longitud sional galloping structure is fre fined as either h start the motion extraction thro dei [7] found a certain rang nima and max e observed belo ity, consisting from its neu galloping moti ed a fairly cons uency across itude was obser predictions thro des and Armandei of the potentia t and tidal str torsional gallop fect of power ta [2], ation cally nbelt with eady also ndei and pe of in a er a ping y be dinal g is e to hard n, or ough that e of xima ow a of a utral ons. stant this rved ough i [7]) al of eam ping ake-
Transcript
Page 1: onal Galloping Ma rine Current Energy Extraction Paper... · galloping ene l parameter va 4 – 2.45 x 105 00 n this paper y and plate w s were observ d in the analys alloping respo

20tPer5-8

Ab

ThioceandfluistruaxiflowinvonlElesimA mobsproampdam

Int

Theinvthe Geo

Flooccundenoclashavshoare any

Figuand

OvharOnindobjfreqcre

th Australasian rth, Australia 8 December 201

bstract

is paper investiean renewable d tidal stream enid-elastic instaucture results ins. The use of ws has receive

vestigation examly, covering pectrical eddy cumulate the powemaximum powserved at the ovided an impplitude and fr

mping.

roduction

e subject of fluvestigated for it

work by Du anoola [4].

ow-induced osccur when an elder conditions wough to decay ssified into twving its own sould be noted th

not independeny given time [14

ure 1. Flow-indud Armandei [7])

er the past decarvesting potentie of the FIV m

duced vibrationect in a flow caquencies. A fated and imple

Fluid Mechanic

16

Torsi

S

igated the potenenergy mecha

nergy. The torsability. Steady n oscillatory rothis mechanismed very little mined the perfplate aspect raurrent damping

er take-off or enwer extraction e

lowest aspect proved understrequency are a

uid flow-inducets detrimental end Sun [5], Tho

illations are thlastic restrainedwhen the struc

the motion [wo types, reson

sub-classificatiohat the basic tynt, and there m4].

uced oscillations

ade, the marineal of flow-indu

mechanism propns (VIV). The auses the structufew groups of emented device

cs Conference

ional Gall

School of MeUniversity o

ntial of torsionaanism to harvesional galloping

uniform fluidotational motionm to harvest th

attention to dformance of flaatios ranging fg was applied nergy harvestingfficiency of a m

ratio trialled.tanding of hoaffected by the

ed vibration (FIeffects on mariorsen et al. [16]

e vibrations ofd structure is ectural damping [17]. These osnance and instaons, as shown

ypes of flow-inday be more than

flow chart (adap

e current and tiuced vibration hposed for this

shedding of ure to vibrate atf researchers hes which are ab

loping Ma

B. Stappen

echanical, Mof Wollongon

al galloping as st marine curr

g phenomenon id flow past n around a centhe energy in fludate. The presat plate structufrom 0.4 to 1to the system

g from the devimodest 5.1% w The study aow the respone power take-

IV) has long beine structures (] and Bokaian a

f an object, whexcited by a fl

is not significscillations can ability, with ean in Figure 1.duced oscillation one occurring

pted from Fernan

dal stream enerhas been explorpurpose is vorvortices from t one of its natuhave successfuble to harvest

arine Cur

nbelt and A

aterials and g, New Sout

an rent is a the tral uid ent

ures 1.5.

to ice. was also nse -off

een (e.g and

ich ow ant be

ach It ons g at

ndes

rgy red. rtex

an ural ully the

enJo

Alenre[1spunbe[7ex

Gaflosutraoctra(pderogaso

IntorosrethrthrcopoAddiranwi

Figph

Thtorenwaof

rrent Ene

. D. Johnsto

Mechatronicth Wales, 252

nergy for powerohnstone and St

lso of growingnergy extractionstrained structu0, 11] for exam

plitter-plates wniform flow. Toeen examined re, 8], provided

xperimentation w

alloping can beow induced vibustained manneanslating or toccurs when the ansverse (perparallel to fluid

efined as the otate on a hinged

alloping, requiroft galloping, wh

n their study rsional gallopi

scillatory motioduced velocitieresholds (see Freshold reduce

onstant extremosition, providedditionally, Fersplacement amnge. Only slighith increasing re

gure 2. Torsihenomenological

he present papersional gallopin

nergy. The funas examined wff (PTO) dampin

rgy Extra

one

c Engineering22, Australia

r generation froappenbelt [11]

g interest in then is the gallopure. In the studmple, translatio

was employedo a far lesser deecently. The stu

numerical anawith an associa

e defined as a hybration which cer in a single orsional motiostructure unde

pendicular to d flow), or bo

oscillatory motid axis [9]. It caing an externalhich is self-init

of low-head ing, Fernandesons were only pes, having we

Figure 2). No osd velocity and

me deflection oed an upper rnandes and Armmplitude and ht increases in reduced velocity

ional gallopingmodelling (adapt

er continues theng to harvest damental case

with particular fong and plate asp

action

g a

om VIV (e.g. Band Liu et al. [

e field of flowping instabilityies by Johnstononal galloping to extract en

egree, torsionaludies by Fernanalysis of torsioated energy harv

ydrodynamic incauses a structu

degree of freon [17]. Transergoes oscillati

fluid flow) oth [17]. Torsion when the san be further defl influence to siating [13].

hydropower es and Armandproduced over

ell defined minscillations werestatic instabili

of the object limit to the gmandei [7] noteresponse frequresponse ampliy.

g amplitude pted from Fernand

e investigation marine currenof flat plate t

focus on the effpect ratios.

Bernitsas et al.12]).

w-induced vibray of an elasticne and Stappenof a cylinder w

nergy from stel galloping has ndes and Armanonal galloping vesting device.

nstability; a typure to oscillate eedom in eitheslational gallopons which may[15], longitud

sional gallopingstructure is frefined as either hstart the motion

extraction throdei [7] found

a certain rangnima and maxe observed beloity, consisting

from its neugalloping motied a fairly consuency across itude was obser

predictions throdes and Armandei

of the potentiat and tidal strtorsional gallopfect of power ta

[2],

ation cally nbelt with eady also ndei and

pe of in a er a ping y be dinal g is e to hard n, or

ough that e of

xima ow a of a utral ons. stant this

rved

ough i [7])

al of ream ping ake-

Page 2: onal Galloping Ma rine Current Energy Extraction Paper... · galloping ene l parameter va 4 – 2.45 x 105 00 n this paper y and plate w s were observ d in the analys alloping respo

Me

Stesecpreperratipreall Altplatself

Fig

Eddpowmasecsepare betwpromoThedamincrdectriaThefrom

FiguEdd

Thethroarmsysdiscindouthen

ethodology

ady uniform cutions along a

esent investigrformance of flios (L/D) rangievious investiga

experimentatiothough strictly, te misalignmenf-initiate the ga

gure 3. Experimen

dy current damwer take-off or gnets were arration, they trave

parating the comgenerated in t

ween a magnetoduce a reactivetion, proportione Eddy currentmper [6]. As thereased, the amo

creases exponealled, correlatine linear PTO dm the prior stud

ure 4. Experimendy current magnet

e torsional stifough a pair of

m. This allowetem. The array c transferred t

duction, and protput was estimance velocity) us

urrent condition32.5m long 1

gation examinlat plate structuing from 0.4 toations (e.g. [7])on was alignethis represents

nt or perturbatioalloping.

ntal apparatus ske

mping was applienergy harvest

anged so that wersed a thick almponents (see the conductor wtic field and thee force which nal to velocity t damper therefe distance betwount of magnetentially. An airng to a dampindamping distingdies by Fernand

ntal apparatus mtic damper

ffness of the rof linear springs ed variation ofof magnets in r

torque from thovided the powated from meassing a non-con

ns were simulat1m1m cross-sned the torsures only, coveo 1.5. This ran). The plate need with the ts a case of hardons in the flow

etch

ied to the systeting from the d

with galloping mluminium disc Figures 3 and when there is e conductor. Thacts in the oppin accordance

fore behaves asween the magnetic flux cut by tr-gap range ofg ratio range oguishes the predes and Armand

mounted on the to

otational systemworking on an

f the natural relative motionhe shaft throu

wer take-off damurements of ro

ntact magnetic r

ted by towing tsection tank. Tsional gallopiering plate aspnge is larger theutral position towing directi

d galloping, minwere sufficient

em to simulate device. A seriesmotions of the twith a set air-g4). Eddy currea relative moti

hese eddy curreposite directionwith Lenz's Las a linear viscot and conductorthe conductor df 1 to 7mm wof 0.033 to 0.2esent investigatidei [7].

owing carriage w

m was controln adjustable levfrequency of

n to the aluminiuugh eddy currmping. The powtary position (arotary encoder

test The ing

pect han for on. nor t to

the s of test gap ents ion

ents n of aw. ous r is

disc was 36. ion

with

led ver the um rent wer and on

thafo

Thdenusuexan

Ta

Reno(Daft

Re

A mgahigtraosinratga

Fig0.5

Fig

Thantretorslico

e shaft and dforementioned a

he structural daetermined to beumber range of ubcritical regimxtraction studiend ranges are sp

Parameter Aspect ratio raPlate width (DStructural damReduced velocReynolds numPTO damping

able 1. Experimen

educed velocitormalised by thD). Only runs fter the initial tr

esults and Di

sample timeeasured is pres

alloping did nogher aspect ratiansitioned direscillations aroustability as thetio plates 1.2 an

alloping under a

gure 5. Galloping575 m/s)

gure 6. Amplitud

he amplitude rend 0.8 are dispend lines have rsional gallopinightly with redonclusions by F

damping torquealuminium disc

amping ratio ine 2.5% throughall experimenta

me than previs (e.g. [7]). Th

pecified in Tabl

ange (AR) D) mping ratio city range (Ur)

mber range ratio range (ζ)

ntal parameter va

ty (Ur) valuehe still water nwhere steady ansient respons

iscussion

series of thsented in Figu

ot occur in all cios and PTO dactly from a tra

und a constant reduced velocnd 1.5 exhibitedany condition tr

g response time s

de response; AR =

esponse plots foplayed in Figurbeen fitted to ng response am

duced velocity. Fernandes and

e using a torq.

n the experimenh free decay teation covered aious torsional he experimentae 1.

Value 0.4 - 1.5 0.30 m 0.025 1.8 - 3.5 5.77 x 100.036-0.3

lues

s presented inatural frequencstate oscillation

se, were include

he torsional gure 5. This steacases trialled. amping, the respansient instabilplate deflectio

city increased. Td no signs of sterialled.

eries sample; AR

= 0.4

or the plates wires 6 and 7 reeach PTO dammplitude is obThis result is cArmandei [7]

que sensor on

ntal apparatus ests. The Reyna larger range of

galloping eneal parameter va

04 – 2.45 x 105

300

in this paper cy and plate wns were observed in the analys

galloping respoady state torsioParticularly at

ponse motion olity (small uneon angle) to stThe highest aspeady state torsio

= 0.8, ζ = 0.036,

th aspect ratiosespectively. Lin

mping data set. bserved to increconsistent with]. Also discern

the

was olds f the ergy

alues

are width

ved, sis.

onse onal t the often even tatic pect onal

, U =

s 0.4 near The ease

h the nible

Page 3: onal Galloping Ma rine Current Energy Extraction Paper... · galloping ene l parameter va 4 – 2.45 x 105 00 n this paper y and plate w s were observ d in the analys alloping respo

fromoveredobsinflresp

Figu

As galnotasp

Figu

Figu

The(ϴm

sumcordamconasp

m Figures 6 aner which gallopduced velocitiesserved at highluence of the PTponse region to

ure 7. Amplitude

expected, the loping oscillatited that the ospect ratio.

ure 8. Frequency

ure 9. Frequency

e galloping remax), frequencymmarised in Tarrespond to themping. There nclusions regarpect ratio on the

nd 7 is the limping occurs. Ns below those pher reduced veTO damping ap

o a higher reduc

response; AR = 0

higher the PTon frequency (scillation frequ

response; AR = 0

response; AR = 0

educed velocity (f) and normable 2. Lower e lower plate is insufficient rding the effece torsional gallo

mited range of rNo oscillations plotted and statelocities. The ppears to be to sced velocity ran

0.8

O damping ratsee Figures 8 a

uency increased

0.4

0.8

ty range, oscimalised frequefrequency osciaspect ratios data to draw

ct of PTO daoping reduced v

reduced velocitwere observedtic instability wmost signific

shift the gallopinge.

tio, the lower and 9). It was ad with increasi

llation amplituency (f*) data illations appearand higher PT

w any meaningamping and plvelocity range.

ties d at was ant ing

the also ing

ude is

r to TO

gful late

ζ

0000

0000

000

000

00

Ta

Thex14

Ththre

Fig

Fig

Thratis smrepan

ζ Urnmin

0.236 2.19 0.143 2.12 0.071 1.99 0.033 1.99

0.236 2.49 0.143 2.490.071 2.36 0.033 2.36

0.143 2.82 0.071 2.70 0.033 2.70

0.143 3.27 0.071 3.04 0.033 2.92

0.071 3.14 0.033 3.14 able 2. Summarise

he power coeffxperienced stead4. The power co

he capture areae actual captursult in the repor

gure 10. Power c

gure 11. Power c

he maximum potio of AR = 0.4an order of m

mall, the power ported results

nd pivoted [11]

n Urrnmax ϴAspect ra

2.45 702.39 752.12 751.99 65

Aspect ra2.77 672.77 782.63 702.49 74

Aspect ra3.44 753.19 742.94 76

Aspect ra3.51 693.39 693.27 73

Aspect ra3.36 653.36 71

ed experimental r

ficient (Cp) plody state gallopioefficient is def

5.0C p

a used in equatre area can berted power coef

oefficient; AR = 0

oefficient; AR = 0

ower coefficien4 and PTO dammagnitude sma

coefficients acfor VIV energysystems.

ϴmax (deg) f (Hatio 0.4 0.93 0.15.00 0.15.81 0.15.71 0.1atio 0.6 7.77 0.18.37 0.10.62 0.14.80 0.1atio 0.8 5.69 0.14.10 0.26.09 0.2atio 0.9 9.50 0.19.65 0.23.31 0.2atio 1.0 5.85 0.11.35 0.2results

ots for all plateing are presentefined as

35 AU

Pout

ion 1 is the plae significantly fficients being c

0.4

0.6

nt observed wasmping of ζ = 0.2aller than Betz'chieved are in liy extraction us

Hz) f*

4 0.28 5 0.31 5 0.30 6 0.32

3 0.22 7 0.287 0.28 8 0.29

7 0.25 20 0.29 20 0.30

7 0.24 20 0.28 21 0.29

8 0.25 20 0.27

e aspect ratios ed in Figures 1

ate area (DL)smaller, this dconservative.

s 5.1% at an asp36. This efficie's Limit. Althoine with previosing translating

that 0 to

(1)

. As does

pect ency ough usly

g [2]

Page 4: onal Galloping Ma rine Current Energy Extraction Paper... · galloping ene l parameter va 4 – 2.45 x 105 00 n this paper y and plate w s were observ d in the analys alloping respo

Figu

Figu

Figu

Co

Theindprerespthe red

Theshifranharpre

Theinvratigalwitusininto

Ac

TheDru

ure 12. Power co

ure 13. Power co

ure 14. Power co

onclusions

e observations duced vibrationevious work in ponse amplitud

oscillation frduced velocity r

e most significaft the galloping

nge. The smalrvesting efficienesent study obse

e highest recordvestigation was io and highest Ploping FIV enth this result. Gng VIV yield o the use of tors

knowledgme

e authors gratefury to this study

efficient; AR = 0.

efficient; AR = 0.

efficient; AR = 1.

made in the cn energy extracthis field by Fe

de increases slirequency is rerange.

ant effect of ing response regiller the aspectncy with a maxerved to occur a

ded energy har5.1%. As this wPTO damping tnergy extractionGiven that simila

comparable efsional galloping

ents

fully acknowledy.

.8

.9

.0

current torsionaction study areernandes and Aightly with reduelatively unaff

ncreasing the PTion to a highert ratio, the bximum power

at AR = 0.4.

rvesting efficienwas observed attrialled, the potn may be bettar FIV energy hfficiencies, furtg would appear

dge the contribu

al galloping floe consistent w

Armandei [8]. Tuced velocity afected across

TO damping isr reduced velocbetter the ener

coefficient in

ncy in the currt the lowest asptential of torsioter than indicaharvesting studther investigatito be warranted

ution by Mr. Ry

ow-with The and the

s to city rgy the

rent pect nal

ated dies ion d.

yan

Re

[1

[2

[3

[4

[5

[6

[7

[8

[9

[1

[1

[1

[1

[1

[1

[1

[1

eferences

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-degree-of-freedfrictional damp6, 673-689.

n the litter cean

rcia, lean and

hore

s of 984,

s of 984,

ation uids,

nent mper.

ower ergy,

ergy hore

e-of-ons. 997,

ation ates, No.

pture Rigid ross-ence.

L. A tidal

nt of s by cean

W. A ping

17,

Low tion, ring,

mage ross-015,

dom ping.


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