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Thrust, Hs=12, Tp=14.2, V=38.7M/S Thrust, Hs=12, Tp=14.2, V=38.7M/S

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(1)

Sea state1, uniform wind v=38.7 m/s, regular wave Thrust

0 50 100 150

0 50 100 150 200 250 300

350 Thrust, Hs=12, Tp=14.2, V=38.7M/S

BEM no BEM

BEM with no dynamic stall

0 50 100 150

0 50 100 150 200 250 300

350

Thrust, Hs=12, Tp=14.2, V=38.7M/S

no BEM

No BEM,dynamic stall

(2)

0 50 100 150 0

50 100 150 200 250

300

Thrust, Hs=12, Tp=14.2, V=38.7M/S

BEM

No BEM,dynamic stall

0 50 100 150

-5 -4 -3 -2 -1 0

Spar Bottom displ. in -x, Hs=12, Tp=14.2, V=38.7M/S

1 BEM

no BEM

BEM with no dynamic stall

(3)

0 50 100 150 74

76 78 80 82 84 86

BEM no BEM

BEM with no dynamic stall

0 50 100 150

76 77 78 79 80 81 82 83 84 85

86

AOA Blade2, Hs=12, Tp=14.2, V=38.7M/S

BEM with dyn stall no BEM, no dyn stall

(4)

0 50 100 150 78

79 80 81 82 83 84 85

86

AOA Blade2, Hs=12, Tp=14.2, V=38.7M/S

BEM with dyn stall no BEM with dyn. stall

0 50 100 150

0.5 1 1.5 2 2.5 3 3.5

4

Drag Blade2, Hs=12, Tp=14.2, V=38.7M/S

BEM no BEM

BEM with no dynamic stall

(5)

0 50 100 150 -2.5

-2 -1.5 -1 -0.5 0 0.5 1 1.5

2

Drag Blade2, Hs=12, Tp=14.2, V=38.7M/S

BEM with dyn stall no BEM no dyn stall

0 50 100 150

0.5 1 1.5 2 2.5 3 3.5

4

Drag Blade2, Hs=12, Tp=14.2, V=38.7M/S

BEM with dyn stall no BEM

The BEM with Dyn. Stall gives stable results. The BEM off with no dyn. Stall leads to instability.

The BEM off with dyn. Stall gives similar result to that of BEM with STALL.

Sea state1, turbulent wind v=38.7 m/s, regular wave

(6)

0 50 100 150 0

50 100 150 200 250 300 350 400

450

THRUST, Hs=12, Tp=14.2, V=38.7M/S

BEM WITH DYNAMIC STALL BEM AND STALL OFF

0 50 100 150

-4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0

0.5

Spar bottom displ. x, Hs=12, Tp=14.2, V=38.7M/S

BEM WITH DYNAMIC STALL BEM AND STALL OFF

(7)

0 50 100 150 -4

-3 -2 -1 0 1 2

3

LIFT ON BLADE1, Hs=12, Tp=14.2, V=38.7M/S

BEM WITH DYNAMIC STALL BEM AND STALL OFF

20 40 60 80 100 120

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5

6

DRAG ON BLADE2, Hs=12, Tp=14.2, V=38.7M/S

BEM WITH DYNAMIC STALL BEM AND STALL OFF

(8)

0 50 100 150 0

0.2 0.4 0.6 0.8 1 1.2

1.4

DRAG ON BLADE3, Hs=12, Tp=14.2, V=38.7M/S

BEM WITH DYNAMIC STALL BEM AND STALL OFF

3. 950s turbulent wind and irregular series

0 200 400 600 800 1000

10 15 20 25 30 35 40 45 50 55

60

wind speed, Hs=12, Tp=14.2, V=38.7M/S

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

(9)

0 200 400 600 800 1000 -10

-8 -6 -4 -2 0 2 4 6 8

10

wave, Hs=12, Tp=14.2, V=38.7M/S

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

0 200 400 600 800 1000

-4 -2 0 2 4 6

8x 10

Tower Bottom Mx Hs=12, Tp=14.2, V=38.7M/S

4

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

(10)

0 200 400 600 800 1000 -40

-30 -20 -10 0 10 20

30

AOA blade1 Hs=12, Tp=14.2, V=38.7M/S

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

0 200 400 600 800 1000

60 65 70 75 80 85 90 95

100

AOA blade2 Hs=12, Tp=14.2, V=38.7M/S

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

(11)

0 200 400 600 800 1000 -12

-10 -8 -6 -4 -2 0

2

yaw , Tp=14.2, V=38.7M/S

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

(12)

0 200 400 600 800 1000 -6000

-4000 -2000 0 2000 4000 6000 8000

10000

Mx blade1 Hs=12, Tp=14.2, V=38.7M/S

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

0 200 400 600 800 1000

-20000 -15000 -10000 -5000 0

5000

Tower Bottom My Hs=12, Tp=14.2, V=38.7M/S

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

(13)

10-2 10-1 100 101 100

101 102 103 104 105 106

Frequency (rad/s) S (  )[ m

2

/s /r ad ]

Comparison Blade1 Mx, Hs=12, Tp=14.2, V=38.7

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

0 200 400 600 800 1000

-4000 -3000 -2000 -1000 0 1000 2000

3000

My blade1 Hs=12, Tp=14.2, V=38.7M/S

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

(14)

10-2 10-1 100 101 10-1

100 101 102 103 104 105

Frequency (rad/s) S (  )[ m

2

/s /r ad ]

Comparison Blade1 My, Hs=12, Tp=14.2, V=38.7

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

0 0.5 1 1.5 2 2.5

0 1 2 3 4 5

Frequency (rad/s) S (  )[ m

2

/s /r ad ]

Comparison Spar Yaw, Hs=12, Tp=14.2, V=38.7

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

(15)

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 0

50 100 150 200 250 300 350

Frequency (rad/s) S (  )[ m

2

/s /r ad ]

Comparison Narcelle Surge, Hs=12, Tp=14.2, V=38.7M/S

BEM OFF, STALL on BEM OFF

BEM ON STALL ON

Land-based turbine, turbulent wind v=38.7m/s

0 50 100 150 200

0 50 100 150 200 250 300 350 400

450

Thurst

BEM on, STALL on BEM off,STALL off

(16)

50 100 150 60

65 70 75 80 85 90 95

100

AOA Blade2

BEM on, STALL on BEM off,STALL off

0 50 100 150 200

0 1 2 3 4 5

6

Drag Blade2

BEM on, STALL on BEM off,STALL off

(17)

10-1 100 101 10-6

10-5 10-4 10-3 10-2 10-1 100

Frequency (rad/s) S (  )[ m

2

/s /r ad ]

Drag Blade2, V=38.7

BEM on, STALL on BEM off,STALL off

0 50 100 150 200

-40 -30 -20 -10 0 10 20 30

40

AOA Blade2

BEM on, STALL on BEM off,STALL off

(18)

0 50 100 150 200 60

65 70 75 80 85 90 95

100

AOA Blade2

BEM on, STALL on BEM off,STALL off

Conclusion

For the land-based turbine and turbulent turbine, there is larger variation when BEM and STALL is disabled. For the floating turbine, the difference is large when wind is uniform and wave is regular.

When the wind becomes turbulent and wave is irregular, the difference is small.

Referanser

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