69
- " 2011

הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

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Page 1: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

-

" 2011

Page 2: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

2

gusts :

CFD Ensembles Numerical site calibration

Page 3: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

3

A BgustsCDWAsPE FCFD

Page 4: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

4

.

" , , .

. -30 , )boundary layer

meteorology( . .

, , . ,

. CFD (Computational Fluid Dynamics) , RANS (Reynolds Averaged Navier Stokes),

.

, , . ,

) ( . . ,

. .

, .

.

RANS , , -CFD OpenFOAM .

, ) .( -CFD .

, . .

: , , , ' . : , , ,

' .

.

, " . , )

(. .

. .

. " Actuator Disk . ,

. , . .

, .

Page 5: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

5

,

) 1( .

1 - 1995-2009 (Kaldellis 2011)

1

, 1973.

, " " Pacific Northwest Laboratory " Riso National

Laboratory . , - )siting handbooks .(

-80 , . , ,

. , ,

. WAsP )Wind Atlas analysis and Application Program ( .

-90 , , . .

. , .

) (,

, . , , )complex terrain – -( .

, -WAsP. , .

Page 6: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

6

.

, Navier-Stokes ) CFD – Computational Fluid

Dynamics(, Reynolds time-averaged Navier-Stokes equations )RANS () state of the art2(, Large Eddy Simulations (LES) .

, .

. , .

LIDAR )LIght Detection And Ranging (-SODAR) SOnic Detection And Ranging( , )data

assimilation ( , .

. )Actuator disk (

. -CFD .

-CFD . .

. ) wind farm layout

optimization ( , . -1994 , ,

. , : ,

)decommissioning( '. -NPV)Net Present Value ( ,

. - .

, ) RANS( . ,

. CFD , .

, . -CFD ) ( ,

.

. ,

.

, , .

, . .

1. – -200 , .

Page 7: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

7

2. - , .

3. – " , .

4. – .

".

:Petersen et al 1998a,b 3,4 )

.(Petersen -Wind power meteorology) ( ,

. .

Sumner et al. 2010 5 -CFD . Probst et al. 2010 6

. )

(.

, windenergyresearch.org 7 "

Risø . ) , , , ( ,

" P.E. Réthoré Risø.

) Wind power meteorology( . " "

. ) (

. . )siting .( siting

, ) , .( -micro-

siting , . -micro siting.

) .( )boundary layer meteorology (

. , .

, -90 . , ,

. .

Page 8: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

8

2 - )edu.vsc.lsc.apollo://http/(

) boundary layer 2( -100 , -2

. )surface layer ( ,10% , .

) 8 , )1 ( , ( ,

-1 " .

. , .

, )climatology .( :

, , ,: , ,

, , , , .

, . .

. [ ]P W ,

[ / ]V m s 3[ / ]kg m:

)1( 32

12

WV

mP

, 9,10 . Reanalysis NCEP-NCAR " ) A (

) , , , , ' ( , , 11 -250 "

6 .

. wind climatological fingerprint) (12 -3 : , ,

. , 3 .

Page 9: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

9

3 - -3 ) .a ( )b (

)c ( . )E. Petersen 1989(

c3 , . Weibull , " :

)2( 1

1·( ) ; 1

kk x

Ap u e U Ak u

A A k

( )p u u ,k -shape parameter -A -scale

parameter) U , (. 4 .

WaSP " Weibull , .

Page 10: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

10

4 - )a ( Weibull 1000 .(b)

Weibull . )E. Petersen 1989(

. .

, -10 . 12 30% . 11

22 , 45 , -13% . ,

20 . .

20 , )standard deviation( -10% . ,

.

. 20 , .

, 1-3 . 5 , 20 . ,

3 )( . , . "

-20 10%± . " 3 , -4%±13 . , ,

, 6,14,15. measure-correlate-predict ,MCP .

5 - malin head

) a ( ) b( 3 . EWEA 13

Page 11: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

11

,

. :

1.

2.

3. ) micro siting(

, :

)1 ( 250 " Reanalysis 16,17.

)2 ( ) . (.

)3 ( .

3 A Reanalysis .

,

" .

, , 18,19.

, , 10-60 . " )3(:

)3(

1 1

2 2

aU z z

=U z z

1U z - 2U z 1z -2z ,a , 0.14a )

" (" . )3( -a , ) 2.8( )3( . a6

. – , – /U z . – – .

2.8 18 . ) – wind shear (

(wind veer). 6b . .

6b , )30 ( , . ,

, -30 ) b6 4.5 .(

Page 12: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

12

6 - (a) , .

30 , ) .((b) ) ,

Norrekaer Enge wind farm , .( 30 . )E. Petersen 1989(

, ) 2.7(.

. 7 .

7 - )upwind ( (crest) , )two dimensional ridge .()E. Petersen 1989(

gusts uI , u 10-60 , :

)4( /u uI U

, ) ( .

) 2.7( , . uI : )grassland (13% , 8% ,

20% .

Page 13: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

13

-1994 Hojstrup 20 . uI , .

, ; 25% )moderately unstable .(

, ) (21 .

, .

, . ,

, B . C.

) ( .

. , " " . ,

– . 10-200 ,

12 :

)roughness( ) ,

( ) , ( , .

. , ) " "

, " (.

)obstacles( , , . " , .

)orography( ,

– .

, 12 . .

2.7.1 – , ,

, " ) roughness length(22. " – , , –

, ) , ( , , . .

, , , , , 22,23 " .

. ) (24 ,

Page 14: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

14

22 . .

, 6,14 . , ,

. )roughness rose( ,

25. , WaSP

. CFD )law of the wall ( , 26 .

) ( )( . .

2.7.2 )sheltering ( , ,

. , . 12 .

, 5, : , . 27 , CFD 5.

2.7.3 )terrain orography ( , .

" , )contour lines .( " 12,28 x,y z . ,

, DTM ,digital terrain model , raster map . ,

-DTM .

: , - 8 . . " " .

-0.3) -17 (29 , . ,

28. , .

) ( .

Page 15: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

15

8 - )landscape(

12 . ) ( ) ( "

. ) ( . ) ( )CFD (/ " .

-0.3 . , . "

.

" ) "complex terrain ( ) ( . ,

" ." IEC 61400-12 ", complex terrain is defined as that terrain surrounding the site

that features significant variations in topography and terrain obstacles that may cause flow distortion ." ,

. " " , - ,

. . , -2008, )GWEA (',

-60% , 30,31.

-RIX ,ruggedness index 32 , , 0.329 .-RIX

, . 8 RIX=0%

) 8( , -10% ) 8 ( 10-50% ) 8 .( -RIX

WAsP D , .

: , , , -3

) ( . . 7 " " 7 : , ,3

Page 16: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

16

) Navier-Stokes( . . , . 1 " . , -1 "

. , . , ,

". ) 3 .( "

.

, :

)boundary layer 2( .

: , , . – , , .

. )

-10 , adiabatic lapse rate .( – )air parcel ( 1h 2h ,

-2 1h h , ) ( ) ( , 2 1h h . ) , ( ,

)stratification ( . – . 11,18 :

)5( *

0

lnu z

U z = z

0.4 ,0z - )thermal stability ( . 0 .

– z , 0z *u . ,

. , 3.4 - 7.1.

. ,

) -free atmosphere 2( . , .

)G( . , .

: " ) ( . ,

, 33,34, )6(:

)6( 2

* *ln 2

0

u uG = A + B

fz

Page 17: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

17

)geostrophic drag law( ,-f ) 1/s( ,A,B .

. " ) (34:

)7( 1 · p

f nG

,p

n

.

" ) .( )5(

)6( . , . , ,

.

, )synoptic changes ,

-1000 " ( ) ( . , , . , " .

11 .

, , ,

. .

Reanalysis . .

.

, , .

, )NWP – Numerical Weather Prediction ( /

. - 25 " 9000 35 -European Center for Medium Range

Weather Forecast ,ECMWF.

)

( 10-2000 " , mesoscale .

, -10 " , microscale models , WAsP CFD .

-mesoscale models ) ,

CFD " 23,36,37 , mesoscale 38( .

Page 18: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

18

, mesoscale ,

Reanalysis . microscale . -microscale ,

. downscaling 33 . -mesoscale -microscale " data

assimilation , Reanalysis mesoscale 23,36.

3.4 -6. -mesoscle , , E . microscale , -mesoscale , microscale .

-

microscale , 28,32,39 . WAsP

, . D.

CFD CFD – Computational Fluid Dynamics ,

" . , .

, RANS –

Reynolds Averaged Navier-Stokes 40, :

)8( · 0U

)9( 1· ·

UUU p f

t

U

,p )modified mean pressure (- .f

) , .( )Reynolds stress tensor ( ,

) viscous stress terms.(

)turbulence closure ( Boussinesq linear isotropic eddy-viscocity :

)10( 2 t S

S , t. -1972 " Jones and Launder 41

2 k .

)11( · · tk

k

kkU k P

t

Page 19: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

19

)12( 2

1 2· · tkPU C C

t k k

2k tP S 2

t

kC

. 1, , , ,kC C C

.

, . RANS

)DNS – Direct Numerical Simulation.(

1, , , ,kC C C . Jones and Launder41 " Launder -free shear flows 42.

, Launder .Detering and Etling 43 C

.Apsley and Castro 44 . Crespo et al 45 Panofsky and Dutton 46.

Richards and Hoxey 47 . :

)13( 2

2 1( ) CC C

)5( ) ( ) 0 (,

)14( -)15( , k .

)5( *

0

lnu z

U z = z

)14( 2*

( )u

kC

z

)15( 3*

( )u

zz

C -C , 1C )13( .El Kasmi and Masson 48 k RNG .

) ( , " Boussinesq , . k -49.

F , LES )Large Eddy Simulation ( . -LES

. RANS LES .

3.4.1 ,

.

Page 20: הצעת מחקר לדוקטורט - "חקירת תפוקת האנרגיה של טורבינות רוח המוצבות באזור הררי"

20

: 50 , . -20 20 "26. ,

. " Rossby ,

URo

Lf )f ,U -L (.

Rossby -1 . 2f sin , -5 17.2921·10 s . ) 33o(,

7.5 10 " , 9.5Ro , .

: )inflow( , )outflow( , , .

)inflow( )5( , mesoscale . " Wyngard 51 3.3 .

wall functions, Couette 50. , )outflow ( , . ., "

50 , )( , , )0

k

z

u (48

47,52 .

, 50 . ,Brodaur and Masson 200852

.

.

, 50,53 . ,

6 .

3.4.2 .

, . , , data assimilation .

, 0( , , )·( )UG j k Ui , )forcing(

0U ,-( , , )G i j k nudging coefficient nudging method . -nudging coefficient

) G , " ( .

, – – ,

. mesoscale Reanalysis, . CFD -microscale " -nudging Acusolve . downscaling

WRF) Weather Research and Forecasting model( 54 ,

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21

WRF Acusolve . , " WRF.

3.4.3 -Ensemblesensemble forecasting 55,56 ,

. , ) ( , ) ,

( , . . Perira et al 2010 57 RANS WAsP ,

.

3.4.4 - site calibrationNumerical

IEC 61400-12-1 , - , site calibration ,

. " )

.( " . numerical site calibration , CFD .

CFD , 5.2 .

,

, .

,

)hub height ( )-Kw Mw .( ,

: , , ) IEC-61400-12-1 .( .

, " , ) 9( , "

0 1( )i if V V V , 1

1( ( [ ]() )

2)i iPP P V wV k ,

) 8760( , 58 . "" , .

,AEP) Annual Energy Production(

)16( 1

1 0 11

1( ( ) ( ))· ( )·8760

2

N

i i i i

i

AEP V Vkwh

P V P V f Vyear

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22

9 - .

)bins ( )IEC 61400-12-1( . ,: ,

, ) – upflow ( , ,

59,60 . . , . ) 9 (

)concave ( )cut in ( )7-8 ( , )-55 ( )convex .(

, . ,

– , , . " Sheinman and Rosen 61–64

-bins , -AEP 10% .Sheinman and Rosen

. , - , 65–68 .

)Markovian process ( 69,70. Sumner and Masson 59,60

, " .

, . 5% IEC 61400-12-1.

,

)15 ( 9 , 68.

) BE – Blade Element(. .

. .

" " , . 71 , .

)Actuator disk .(

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23

72 . ) (

. . .

. )( 72 . , 73 .

lifting line lifting surface . , , .

, )free-wake .( .

Jukowski )lifting line ( )lifting surface.(

CFD , , . .

, 74. -CFD .

CFD -CFD . . . -CFD 74,75 . )Actuator surface (

)Actuator line(, – , .

. CFD , .

CFD , . ,

, .

. 5,75–78 . .

. , . 10 .

10 – ) ( , )AD( ,

)AL ( )AS( 75

, . .

)1-2 ( . 75,78,79 . )kinematic model( -self similarity 80–82 . -WAsP.

.

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24

79 ) 11( . . 12

. , , 10-20

) 12 -13(. , )wakes ( , 83–86.

11 - 79

12 - actuator disk ) ( ) ( ,

actuator line) ( ) .( z

75) . z x d(

4.1 . .

IEC 61400-1 )classes ( , , .

) ( .

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25

13 - Ud , Uref , )D ,x/D (

50

12 , Actuator disk RANS . Actuator disk -5 , -2

. Actuator disk RANS , .

,

, . .

, )wake .(

, . self similarity

, .

-17 , ,

. ) ( ,

-gradient decent . 87. , ) ( ,

. Mosetti et al -1994 88 , . " , )

Mosetti ( . 89–102.

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26

. . Wan et al 2010 103 -

particle swarm optimization , -Pont and Cagan 2010 104 )pattern search algorithm .(

, 105,106 . one way coupling , ,

.

, )VLM – Vortex Lattice Method( . 107 . -two way coupling

, . ) WindPro,

openWind, windFarmer( 108,109 . .

)recirculation ( , . , , , , . .

" Navier Stokes .

CFD , WindSim 110 CENER 111. -CFD

) one way coupling( . 82 , WindPro 108,

openWind 109 .

, -20112008 TOPFARM ) Risø( , ,

. 112–114. TOPFARM

, , .

WAUDIT " CENER -2010 115 - . )

TPWind ,European Wind Energy Technology Platform ( -3%) 30% .( -48 , , ,

. CFD , 40% .

, -75% .

. .

- 116 .

0.5-1 " 117 . " CFD , RANS 2 k .

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27

, , 113) one way coupling( .

, RANS 118 . -CFD

, )buoyancy ( 5. -inflow – " ) .(

, ) (.

Castro and Santos 2010 119 meso-microscale , -mesoscale ,

. ) -44% -13% -mesoscale.( ,Castro and Santos -time

series -mesoscale CFD , " .

.Palma et al. 2008 120 )WAsP ( CFD) RANS (

.Palma et al. " , , .

, .Palma et al. CFD

. Milashuk et al. 2011 121 RANS , , WindSIM

, . Milashuk et al. -numerical site calibration )" -12 9 .(

-Anderson-Darling test of normality 12 , ,

. -RANS ,

.Prospathopoulos et al 2008 50 , RANS Askervian hill –

122 - – . Matsushita 2010 123 -RIAM-COMPACT , CFD

LES Kyushu , 124 .Matushita Numerical Site Calibration (NSC) - ,

. Brodeur and Masson 200852 -RANS NSC - .

CFD . Fluent, Acusolve " , Windsim, Meteodyne, Windie . )open

source (OpenFOAM RANS 26 , Bolund 125 .OpenFOAM 74,126,127.

- 116,117 , .Lackner et al 2007 128 MCP) Measure-Correlate-Predict ( 3 – ,

, . Lackner et al 129

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28

. MCP ,

. , Lidar -Sodar . ,

) – ( .

,

. CFD WaSP , .

, .

, 116 , .

, .

, , . 2.7.3 ,

" " , - , , 30,31.

CFD , .

CFD , , . ,: ,

. ,

.

, . :

, CFD, . ,

.

-CFD OpenFOAM ,

, . ,

. , .

. . , ,

. .

RANS , -nudging 36.

. .

, ,

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29

14. ) ( , , .

– , LiDAR SoDAR , .

. two way coupling , . ,

-actuator disks.

) ( .

130 . , ,49,131 Froude 86,87 , , .

mesoscale , , .

. ,

. ) .(

.

,

) ( -) .(

Navier-Stokes )CFD( , : , 131 . " ,

, , Bouland 2,132. , .

, .

: : .

, . , ) , (.

: (discretization) (cells) . . 5-50

. . 125,132,133 ,

30 53.

: , RANS 2 ,

LES . RANS LES 125,133 . RANS .

5,48 . , -k -

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30

RNG k . , ) 3.3 .(

86,87, .

: . ) k- ( , , )

2 ( , ,48,52,53,120,123,134,135 . ,

- " . " – , , –

, , 50. H , L1 -L2 ,

L1, L2 , H 26,48,125,136,137.

, 138. ,

)static pressure contours ( , 137 .

50.

: , . ,

139. .

, : , . , . .

/ 139. :

z0 . )wall functions( ,

) , .( . .

, 136,140 .

, . .

: .

. -nudging . , Schneiderbauer & Pirker141 .

, ) 142(, . -ensamble55–57

.

. . . : ,

, , .

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31

. ,

, , " " .

.

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145. Yoshida S. Performance of downwind turbines in complex terrains. Wind Engineering. 2006;30:487-501.

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!"#$% &'(')*B:

1. Kaimal J, Wyngaard J, Izumi Y, Cote OR. Spectral characteristics of surface layer turbulence. Q. J. R. Meteorol. Soc. 1972;98:568-589.

2. Højstrup J. Velocity spectra in the unstable boundary layer. J. Atmos. Sci. 1982;39:2239-2248.

3. Olesen HR, Larsen SE, Højstrup J. Modelling velocity spectra in the lower part of the planetery boundary layer. Boundary-Layer Meteorology. 1984;29:285-312.

4. Højstrup J. Velocity spectra. In: Proc. IEA symposium on wind conditions for wind turbine design. Roskilde: (Available from reserch center, Julich); 1993:51-57.

5. Højstrup J, Larsen SE, Madsen PH. Power spectra of horizontal wind components in the neutral atmospheric surface boundary layer. In: Proc. AMS 9th Symp. on Turbulence and Diffusion. Roskilde; 1990:305-308.

6. Townsend AA. The structure of turbulent shear flows. 2nd ed. Cambridge: Cambridge University Press; 1976.

7. Frandsen S, Chacon L, Crespo A, et al. Measurments on and Modelling of Offshore Wind Farms. Roskilde: Riso National Laboratory; 1996.

8. Kristensen L, Frandsen S. Model for power spectra measured from the moving frame of reference of the blade of a wind turbine. Journal Of Wind Engineering And Industrial Aerodynamics. 1982;10:249-262.

9. Kristensen L. Power spectra and cross-spectra as seen from the moving blade of a wind turbine. Journal of Wind Engineering And Industrial Aerodynamics. 1983;12:245-250.

10. Dutton JA, Højstrup J. A probabilistic model of turbulent velocity fluctuations. In: Proc. Wind characteristics and wind energy siting Conf. OR; 1979:59-67.

11. Højstrup J, Tammelin B. Wind reasorces in complex coastal terrain. In: Proc. European Union Wind Energy Conf. Goteborg; 1996:544-547.

12. Højstrup J. A statistical data screening procedure. Meas. Sci. Technol. 1993;4(2):153-157.

13. Verheij FJ, Cleijne JW, Leene JA. Gust modelling for wind loading. Journal of Wind Engineering and Industrial Aerodynamics. 1992;42(1-3):947-958.

14. Veers PS. Three-dimensional wind simulation. In: ASME energy-sources technology conference and exhibition and intersociety cryogenic symposium. Houston, TX, USA; 1989.

15. Mann J. The Spatial Structure of Neutral Atmospheric Surface-Layer Turbulence. Journal of Fluid Mechanics. 1994;273:141-168.

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$)'3$ !,(+, (5!410& )(!/1 ""&,% 6(3$& $)'3% C-1a 4# '/(&&1 %-)+$4 $)(&* 300 5!,% 9)'4 .54(*9)' +)3-( +!2,((4) *4 $!/0!")7 (8 .*$% 0!3$4 0) )+(,()!' $'7(+4 9!% $8$ !"!-!$

!'()!*$ )*% )%*& $,(%5)+*1 (""&,% 5!!,(/!0$ . .()+7 5!!0 *44+(!'1 $4*# , .!!/4( .!1$4& :(-!"#%'()!* 4% +()!"+$ +* .!&* .7(*1 +(8-4 ! 4% $)8- .&81 .(/!0 50 $"!"& +7(0+ 9!)/ $,%

0!73& $#()* ,+("!"& 4% !,6(&($ 4(4#& 9(+& 12!$ $"("&.

!"#$% &'(')*C:

1. Petersen EL, Jensen NO. Storms: statistics, predictability and effects. In: T. Horlick-Jones, A. Amendola and R. Casale (eds), Natural Ridsk and Civil Protection. London: Chapman and Hall; 1995:147-177.

2. Cook NJ. The Designer’s Guide to Wind Loading of Building Structures: Background, damage survey, wind data, and structural classfication. Michigan USA: Building Research Establishment, Dept. of the Environment, the University of Michigan; 1985.

3. Jensen NO, Mann J, Kristensen L. Aspects of the natural wind of relevance to large bridges. In: Proc. first international Symp. on Aerodynamics of Large Bridges. Copenhagen; 1992:25-32.

4. Abild J, Nielsen B. Extreme values of wind speed in Denmark. Roskilde: Riso National Laboratory; Riso-M-2842 ; 1991.

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!"#$%D&! !!'(()*%(+!'(+,-./!WAsP!!!"#$%&#&'( )&*+ ,""&-. ,""+"-/*! ,""&0"1!& 2&$! .&$"!+1 3&&"4+ ,,"-(/+1 ")4- .. ,"&5+ $.*-

."1&+"1 ."62. $"1" 3#&*( .#+ 7&.+!2&$ ,! -8 -8 55(.!- !#+-1 ($ $#5+.&)")+ , .&#"#9 ,8 !0"*1."18+ . !-"(&! &6 !)(&8$ .#+ ,&/+(1 !0(!-./"&)+ 2&)&*+ ,:")8 1+.1.1 !'"1 2.#-

,""$&6*! ,"0&.0(")4.. $&(8 ./"&)+ !#+ (12- -"#"9#5 $&6* .")46 .&18- .* !"! ,"-)&+ :"5&!- 7"$912! 7$&*( ,""&0"1 .8#1!( ,"(12.+5&#5 !"#$%&#&'( ,""&0"1&)!8(% -8+ !+"$6( , !8#1!( 34 &+4&

2&$- ,""6"# ,"+&52+ -1 ),"0(+ &+4.&+&2& ( .&2.&# !-* ,"-)&+ & &(-&1) .-(&!(Risoe( , !'"1- !0&4+!".&2&$! 5-'* .'"1". !'"1! .04&.( .+1&"+WaSP ( .$*&.+!-E. L. Petersen & Troen

1989 1.!) !4#! !6 !'"1 -,&2.( '$)0'5- &'/#. ,"(-1 "01 .--&4 !'"1!) $&"9D-1( –

1. ."$&6* 2&$ .#+ .$"9" .%9""+.

2. $.*( .&2&$! .&%-#.! -1 /"&)+ "&62 ,1- 2&$! .#+( 1&+"1.

!"#$ D-1 - %"&"!' ()*+ %*#,WaSP - -#,.,. -##!/(".*+ '.#!0 #)1". #12' %+ 34%) %"#.)"5' %"1#1. 3",+!' 3""#26)')7. #/)2 .(%!$"8, %5$##.' %#!"0+' &"!' %/. 9"%. ,'*. #/)2 ".$7 )7 !0"& 9#)'%' ,

8' &*,' +% 9"%6 '#"$!' '1"48) -##*8"")!' -#8"%86 ,".#,6") . 9"%.)E. Petersen 1989(

!0&4+ &6 !'"1" ."40* !-&#4 !"9-&#$'5/*."/#&*&) "the double vertical and horizontal extrapolation method“ .(

!"#$%& '(#& --&4 ,"*(! ,"(-1! .. .* --&4 *&!& 2&$! .#+ .$"9" ) $&"9( !-8+ "#-4 ;2!D-1(:

I. .&".01 ($ 2&$ .&)")+ .1$+ ,"0&.0 :&5"*)! "U z ,14 -# $/U m s$"!+ *"!& 2&$! .&-# $z m

!)")+! !(&% *&!(

II. ,"--&4! ,""+&/+ !$(%! "'/#* "#- .&)")+! 3&/".:

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i. !""#$%&$&' !"()#'– *+&, linear BZ model 2 -&$ ./'0 $&12"3# *2 .14&30 .&21% *2 *+&,0 5"51"$'"3"*0*4 Jackson & Hunt 1975 3 .

ii. 0 ""&3"4 .2#45&#5- -(40 –5&#5-0 .&$"0, .'"/, *u 0+&+,0 .&$"0,0 "#*4&,"4 6&.

1 !+), .7$20& 2&1) 01&% $&12 ",."$%&* *&1% .174 *+&,5&#5-",&), . *4 07$200-0 8(4 .2#40& *&1%0 .174 *"#&$# *2 2)$)0, !)! "0...! z,z 0+"+, .3-. *71 ( "#*

-0 8(4&".340 2/&,,0 !.

iii. !"*&47, .2#40-0+"+,0 .3-. .1$)1 !"31,& !"/2 .,%&+7

III. .&3)&.,0 -&$0 .&"&$"0, .$921 ."$&9' ."#&$(5&'% -&$ .#, .""31 ,2“ 0,"$90 .-301 4&,"4 " ."#&$(5&'"%0–*&1%0 .174 '"41 :-* .&-&7* 5"*&"$&) .&-&7 ;"1 *)4, "&&"4 .

! "#$% !&$"4 04234&,6#&0,1 6' 0,"75 0.&'1 ,$)-30 $.'1 !"'3.0 "#* . $,&*7– $-'* 0*1).04."$&9'0 -&$0 .#, , $.'0 *4 !""."57.0& !""#$%&#&(0 !"'3.0 8&$/1 01 !"4,.4,) 8"25

2.7$)-,0 .2/01 ( "+7 $.'1 .&-&$0 .&%*#.0 ."9-. .' *1)*) $&"/1 0(, :-0D-1 .( 0,750 03&7, *"2* .$'&.,0"Observational wind atlas methodology" .&+"+, .4$ *2 $&,'7 .55&1,&

.&".",' -&$ ,!"3$. *2 !"$(,&,3', ..)#5, 03"' .&+"+,0 .&,7 !"1$ !"$&9'14 ;&&"7, , 0("4 0$/&3*"2* .$'&.,0 &9* 0*"1), , !"*+&, 5"51 *2 -&$0 "3&.3 .' .$/"",0!""$#5&,('!"'*, *2 !",4&",0

1-$ 0+", 03)$.&" !"$(,&*") .&', +2 .&$42 *4 . 03&7, 09 0+", 03)meso-scale , !"*+&,1 4&,"4& 03&7, -&$ .&+"+, !&),1 &*'numerical wind atlas . !'.01 !"3&7, &*' !"*+&,meso-scale models

) -#53 &'$E .(

*+&,WaSP !""$$0 '* !"$&9'* $&),1 +2&" ) 03&"*20 ./14,1 1&.70 .&$,*&"/1 $D-1( , $&1247 +1*1 05, $&,"4 *2 !"55&1,4 !""3(4# !"*+&,1 4,.40* 0*-.01 2/&0 !""$$0 !"$&9')mass

consistent models( .05, $&,"4 "*+&,0#&#/ +&', -&$ .&+"+, .4$ *2 !"7,.5, , $4' .' .++&, 00&1% )"#5, 0"/&*&9$1 !""$$00 !"$&9'0 "3# *2 -&$1 !""&3"40 "+7;-1'* ."3 !"$-' !""&3"4& !")&

0,"$90 ;&&"7& .&$"0,1.05,0 $&,"4 .'&&4, ;&$.# , ".*-.0 4&-"3, !""&3"4 !&,"3",* 04"$+ 8&$/1*74&,,"*4, !",.&+"+,0 ;"1 $5-0 .' . 04"%0.'90 0*5#3 64,01 0#&#/ .&+"+, .4$1 6$&/0 1)2

'* ;#&'1"42, , 4,.40 .&-&$0 5*('&0"%&*&+&.,1 0$'&.4 *"2* !""$$0 '* !"$&9' $&12 , $4'7 $&12 !""$$0 !"$&9'&2/&1;."30 *77 0#&#/ .4$1 .&+"+, . !01 !"$&9'0 .' %&&5* 0"0 "$&),0 ;&37.0 &2/&1

"#* .&+"+,0!"3&"$("$)!04*7 , 0,4&" *"2* .$'&.,0 0("40 *2&#1 6' !%!"17$&,0 !"$&9'0 $&12 ,09 *+&, !"17$&, 4,, !"$&9' $&124 ;1&047!"'." '* .

0 0("40$'&.414-, .37&.1 0,4&" 4 '"0 !% 03&7,0 WaSP . 0#, "3&.31 .4,.4, 0("40"+4 .&2#400 1&4"- !4* -(40 5&#5- *4 .&%*#.0 !"**&70 !""*("%5&#5-0& 0"#$%&#&(0 * *2 .&$"0, 0-&$ . 0("404&,"4 04&2 0+"+,0 .&+&)3 1"15 ."$'*&# .4$1 ) .' !),* !"/&$ !01 .&+&)30 &'

"340 1*41 -&$0 .&3"1$&(( ,0+&)30, !")-$.,4 *77 .+$&"& .7*&0 1&4"-0 .&#"#/4 67 ,01'. 67* !0 5&#5-0& 0"#$%&#&(04 !"1&$) $.&"1 !"2"#4, 0"&/$0 0+&)3*0$&/101$0 $.&"1 .

!&"7!*&20 "1-$1 -&$ .&3"1$&( !&)",* ($+3(50 03"0 &9 0("4 , '"0 &1 .&*&1%0 6'.)+/&,&+" !"2 :*77$.&" .17$&, .$)-30 0"#$%&#&(04 $.&" !"+- !"2&#"4 .*21& , 670)",'3"+0$ 0,"$90 *4 0)&-

*+&,0, $.&""$'"3"*0$.&" .&*&+% .&'"%40& .

0 ++,-RIX )$#1 $'&.,02.7 4,4, "+71)* *4 !"2&/"1* ++, * WAsP . 09 ++, 03&7,orographic performance indicator 5,6 , '&0&0 ;"1 4$#07 $+%&,-RIX !"3&.3 4" &$&12 $.'0 *4

.3."3 ."9-.0 &$&12 $.'0 .,&2*)RIX# .(50 .' ..* *&7" 090 ++,0 "3""#&'0 *+&%0& 0'"%40 *4 ;,"0*4 , *4 0+&120 .#(2,* :&-, &3"04 !&),1 '/,3 !"$.'0 +-'47WAsP , .&'$* ;."34 "#7 $&"/17.

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!"#$ D-2- )a ( %%&RIX! #!'#(#)* +!,"-* ). WAsP/"!* 0#)1' ,2!3*4 *'#5. )"& .& 3%#&-5 0#!,' " )5"6!"-4-2,-!$4

7,8) .b ( %%&RIX42!"& !,"#* !,'* ). 5.* )"& /"!* ,"!#*& ,#7/,4 *'# . 0#(",( 0,"'

"&2(a) . )E. Petersen 1989b(

!"#$% &!'() '*+$"',- D-2a ,$). -"$'.- /''.0 &'- '$#'('% -RIX!1"$0 !"$'02- 0#'3)0 &'-% .0 &'- )$*00 /#-RIX&4. #"0 ,0(4. 0#'3)0 ,() /# /3/'-+$"2 /'$!#0 ' .5+2 0$!' ,# / $!#6"1''0

)1"$ '("!( "(% )' "'%7 (1"4) , "'%7 $!#0" !7,-!2-+$"2 #"0 !'81!0 , &!'! !'81!0!+$70 $!' 1"$0 !"$'02%0'3$(#0 !."*!% /3 &+%" .- $"',D-2b !"#$% &!'($)*#) !'81! '$#'('% %9"22 %-.% 0'3$(# !."*! !.'"92/'-+$"2 /'$"8# $"-7 /3 !'61' ,'%7 $!#0 9"7 %+ "/'%.# '("!( /'2''. "'%7 $!#0"

02"9 &*"#- -+$"2 $"8#- /'#,2( !'81!0 !# !")7% /'(''("72)0 992 '*%-RIX( . !"#$% &!'() '*+ #23"9%'('60 &"'6'(029,10 !"("$1#0 /'()02 , $!# 6"1''0 $!#02 '!"72)2 &*"#- -+$"2 !"1* %%+ 5$9-

!'81!0 !')7( "'%# , '"*,) '*+ !"#'3) !"%-.!2" $"',2D-2, &*"#- &+%')729"2- 5$", )' %CFD #%2.

!"#$% &'(')*D:

1. Petersen EL, Troen I. European wind atlas. Roskilde: Risø National Laboratory; 1989.

2. Barnard JC. An Evaluation of Three Models Designed for Siting Wind Turbines in Areas of Complex Terrain. Solar Energy. 1991;46(5):283-294.

3. Jackson PS, Hunt JCR. Turbulent wind flow over a low hill. Quarterly Journal of the Royal Meteorological Society. 1975;101(430):929-955.

4. Mortensen NG, Landberg L, Troen I, Petersen EL. Wind Atlas Analysis and Application Program (WAsP). vol 2: User’s Guide. Roskilde: Risø National Laboratory; 1993.

5. Mortensen N, Bowen A. Improving WAsP predictions in (too) complex terrain. Proceedings of the 2006 European Wind Energy Conference and Exhibition. 2006. Available at: http://www.risoe.dtu.dk/rispubl/art/2007_177_paper.pdf.

6. Mortensen N, Rathmann O, Tindal A, Landberg L. Field validation of the :RIX performance indicator for flow in complex terrain. 2008:1-9.

7. Bowen A. Exploring the limits of WAsP: the wind atlas analysis and application program. Proceedings of the 1996 European Union Wind Energy Conference. 1996.

8. Mortensen N, Peterson E. Influence of topographical input data. 2001:1-4.

9. Postech, Kier. Introductory note IEA R&D Wind – 61st Topical Expert Meeting. S. Korea; 2010. Available at:

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59

http://www.ieawind.org/Task_11/TopicalExpert/61/Introductory_Note_Complex%20Terrain.doc.

10. Rodrigo J, Avia F. Summary of IEA R&D Wind – 61st Topical Expert Meeting. Postech, S. Korea; 2010.

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60

!"#$%E&! !'(()*+*,*-./!'(+0*/!!

!"#$%&# '#(

!"# $%&"&'&!(# ")&#" ,NWP model) Numerical Weather Prediction( , $*&+*, -'&. /$0&'1 +&'$1# '&(2&& '&,3 14/ ,+#$&5# 6#7 +)&2* '&,3 +&0"1& 1'&('4#(1 1)/ . +!7 +#&3"'&,3

+$#&$ +$70+, -'&. 6$! 0&'1 8$"2! +9'31 .17 1'2#, 8$$(*&&"'8$!,1 14/1 $!*+:

! ($",+1 $*&+*)DEM ( +$59+1&)5&450 -'&! .( /&#$/ -&+# -$'31" 6+$* 5&4501 -'&! +!1$0#.1 $&5$9& 32'211.

! !18$$*&.$01 +&0&91 "/ 8$"2 ,:0"1 1)/ &! +&"&,%, 1#$'71 +&)/ ""9 -'), , +&%"4+1&/#/1 +*$'2.

1"0+11 $!*+8$/&')1 ")&# '&,3 mesoscale$",&"% $'#&* ")&## ""9 -'), 8$",2+# , 81&'&7!, 8$"2!1 +! %.$$" 8$'&#! .1$."&#$51 '&,3 8&$, 6#71 +'$0, !$1 1,&/0 1)&2* , 50$,

0#"/#/1 +*$'2 "/ 8$'&7 .*/$8$%.$$#1 8$!*+1 +'$0,, +&,$/0 1 , 1'&', 1($/ 8&$9 13&)$ !"+'$0,"+$#$"2! +%.$$# 1$."&#$5 . 8$"'%&# 8$+$3"36519&'! 2$45# 14&2+ -&+# 8$#$ 2–5 , &!

$$"!'($* 81 8$$'45&#(!1 8$!*+1 3.&##,/ 8$0$*#8) 13$2/ &! 10$'7 +&3/" 8$#$!+# '#&"9 .(1"0+11 $!*+& 14/1 $!*+ -') ")&#" +&5*9* +&$#$"2!1 +&)$)#1.

8$$3.#!1 ,0&'1 $&&2, 1#$'71 "3 +&$'2$31 +&34/11)mid latitudes ( +&0&'1# 13$%#(!1 "/ ,&9$/1#& +&$4&'(5&!$%11'45&# .0" 8$1 6$, 1'&('4#( $"),1 8$$+&3#/# +&$1" 8$"&9$ ;&

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linear, non-linear Advection

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!"#$%&' (%&"() *%#%'+

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"#$%&' -mass consistent !(", -%"&("$ !%5(&%& -%,%%)& !"##%3 !")&-)& ')4&#% ' -%$"$&*'#1-' "(%-(3 -%$%0( 267&* 1%2 , !' 87%(* 2),3 '7&' 2%&") -,%%)&* !")&-)&"$3

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'*%':" %#, !"#$%& ,"' '&"2:* !"0%-"( 2),3 '$"$&' -%(1-) /3 '6%6+ '3 '$"$& -%(1- -)2-%(1*,&%##' !"0%-"(' -, 7 .

""5,57%2$"' !"#$%&*!) hydrostatic ( #0)& "%%)* -6#1%& -"3(,' !%5(&%&' -,%%)&5,57%2$"'" . !"#$%&!"15)* "2%:,' 1%2' !"#0, *%)"1# !"&",-& '#,& !"#%$. -10 ~0"& .

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-%,%%)& -, !"2-%6) !""2,"("# ,# !"#$%&*Navier-Stokes-%,#&' .

#4 $%,& '4"6)& "*%)"1' #$%&' #) '#,07'!"506,' "%+2) -%1%3'% #%#3#%* . /3#)&# & 950 %32%,) #$%&*-10 ~0" /2%+ 9", &#%#3#7"#%"2%0 "506, 8 .-,: -&%4# 27%1& ',+%-3 -%+,'

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mesoscale "#$%&% microscale) CFD ("6%7 5(&#, -%5")% '20* 16(* !")&-)& , "6%7 16( %,)finite element/volume .(

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Computational Wind Engineering (CWE2010), Chapel Hill, North Carolina, USA, May. 2010:23-37.

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