Table 6 Effect of OWC combinations with wind excitation below cut-out speed (24 m/s). PSD integral is calculated in the entire frequency interval [0.00, 0.20] Hz, and compared to the respective value of mode 000 000, baseline model. Local behavior is obtained through analysis of RAOs.

From: Design and stability analysis of a new six-floater oscillating water column-based floating offshore wind turbine platform

OWC Mode Code

Description: OWC(s) in operation, chamber number(s) with open valve

RAO pitch, 24 m/s. local behavior [interval] Hz

PSD integral pitch, 24 m/s

RAO yaw, 24 m/s. local behavior [interval] Hz

PSD integral Yaw, 24 m/s

RAO surge, 24 m/s. local behavior [interval] Hz

PSD integral Surge, 24 m/s

RAO tower-base bending moment, 24 m/s, local behav. [interval] Hz

PSD integral tower-base fore-aft bending moment, 24 m/s

000 000

All valves closed (for reference)

 

0.0%

 

0.0%

 

0.0%

 

0.0%

100 000

1

 

192.8%

 

 − 46.2%

 

53.4%

 

 − 50.7%

010 000

2

 

38.1%

 

 − 87.6%

 

 − 35.0%

 

 − 0.7%

001 000

3

 

31.8%

 

16.6%

 

 − 52.4%

 

2.8%

000 100

4

 

302.2%

 

185.9%

 

37.1%

 

92.8%

000 010

5

 

15.1%

 

8.9%

 

 − 56.6%

 

1.2%

000 001

6

 

279.4%

 

907.9%

 

 − 58.6%

 

4216.1%

110 000

1, 2

 

45.8%

 

16.5%

 

 − 54.2%

 

7.2%

101 000

1, 3

 

296.3%

 

4491.1%

 

 − 26.2%

 

165,168.8%

100 100

1, 4

 

85.9%

 

43.4%

 

 − 8.3%

 

19.2%

100 010

1, 5

 

27.9%

 

11.4%

 

 − 54.9%

 

2.5%

100 001

1, 6

 

33.3%

 

13.3%

 

 − 55.0%

 

8.2%

011 000

2, 3

 

28.0%

 

13.3%

 

 − 5.7%

 

8.3%

010 100

2, 4

 

178.2%

 

 − 73.6%

 

10.3%

 

259,407.1%

010 010

2, 5

 

24.6%

 

3.1%

 

 − 5.4%

 

12.4%

010 001

2, 6

 

33.3%

 

2.6%

 

 − 5.7%

 

9.8%

001 100

3, 4

 

1727.3%

 

15,957.7%

 

 − 53.2%

 

188,591.4%

001 010

3, 5

Damp. [0.09 − 0.2]

3.8%

 

2.5%

 

 − 5.5%

 

7.3%

001 001

3, 6

Damp. [0.09 − 0.2]

3.8%

 

3.0%

 

 − 5.6%

 

 − 0.2%

000 110

4, 5

 

583.0%

 

27,768.8%

 

 − 33.2%

 

171,719.8%

000 101

4, 6

 

1116.5%

 

50,218.0%

 

 − 56.6%

 

286,438.2%

000 011

5, 6

 

33.7%

 

0.5%

 

 − 5.6%

 

7.6%

111 000

1, 2, 3

Damp. [0.09 − 0.2]

89.9%

Damp. [0.02 − 0.2]

18.3%

 

 − 52.4%

 

5.6%

110 100

1, 2, 4

Damp. [0.09 − 0.2]

95.9%

Damp. [0.02 − 0.2]

20.1%

 

 − 52.7%

 

28.0%

110 010

1, 2, 5

 

13,900.0%

 

2,916,655.4%

 

 − 71.2%

 

96,937.0%

110 001

1, 2, 6

 

9627.4%

 

1,988,955.7%

 

 − 73.1%

 

18,792.8%

101 100

1, 3, 4

Damp. [0.09 − 0.2]

11.1%

Damp. [0.02 − 0.2]

16.1%

 

 − 52.5%

 

3.0%

101 010

1, 3, 5

 

9491.7%

 

4,421,234.7%

 

 − 86.3%

 

12,837.8%

101 001

1, 3, 6

 

8210.7%

 

2,794,563.4%

 

 − 88.9%

 

20,485.3%

100 110

1, 4, 5

Damp. [0.09 − 0.2]

32.9%

Damp. [0.02 − 0.2]

15.9%

 

 − 53.1%

 

7.1%

100 101

1, 4, 6

Damp. [0.09 − 0.2]

71.1%

Damp. [0.02 − 0.2]

21.4%

 

 − 53.2%

 

5.1%

100 011

1, 5, 6

 

619.9%

 

44,103.3%

 

 − 56.5%

 

879.9%

011 100

2, 3, 4

Damp. [0.09 − 0.2]

 − 6.5%

 

10.0%

 

 − 52.1%

 

6.2%

011 010

2, 3, 5

 

4433.1%

 

24,344.0%

 

 − 80.3%

 

47,962.1%

011 001

2, 3, 6

 

2732.5%

 

27,622.0%

 

 − 86.2%

 

36,082.1%

010 110

2, 4, 5

Damp. [0.09 − 0.2]

 − 10.7%

Damp. [0.02 − 0.2]

14.7%

 

 − 52.5%

 

7.9%

010 101

2, 4, 6

 

6753.1%

 

3,928,974.5%

 

 − 87.8%

 

9418.2%

010 011

2, 5, 6

Damp. [0.09 − 0.2]

43.9%

Damp. [0.02 − 0.2]

15.7%

 

 − 53.1%

 

11.8%

001 110

3, 4, 5

Damp. [0.09 − 0.2]

 − 40.9%

Damp. [0.02 − 0.2]

9.9%

 

 − 52.4%

 

3.6%

001 101

3, 4, 6

Damp. [0.09 − 0.2]

 − 14.3%

Damp. [0.02 − 0.2]

12.7%

 

 − 52.3%

 

 − 2.6%

001 011

3, 5, 6

Damp. [0.09 − 0.2]

 − 0.9%

Damp. [0.02 − 0.2]

16.2%

 

 − 52.7%

 

 − 3.3%

000 111

4, 5, 6

Damp. [0.09 − 0.2]

 − 15.8%

Damp. [0.02 − 0.2]

16.7%

 

 − 52.8%

 

2.5%

111 100

1, 2, 3, 4

Damp. [0.09 − 0.2]

61.7%

Damp. [0.02 − 0.2]

13.1%

 

 − 50.5%

 

6.1%

111 010

1, 2, 3, 5

Damp. [0.09 − 0.2]

111.7%

Damp. [0.02 − 0.2]

18.0%

 

 − 50.6%

 

15.6%

111 001

1, 2, 3, 6

Damp. [0.09 − 0.2]

272.4%

Damp. [0.02 − 0.2]

23.4%

 

 − 51.2%

 

17.4%

110 110

1, 2, 4, 5

Damp. [0.09 − 0.2]

64.0%

Damp. [0.02 − 0.2]

21.2%

 

 − 50.7%

 

13.0%

110 101

1, 2, 4, 6

Damp. [0.09 − 0.2]

225.5%

Damp. [0.02 − 0.2]

27.2%

 

 − 51.0%

 

22.3%

110 011

1, 2, 5, 6

Damp. [0.09 − 0.2]

294.0%

Damp. [0.02 − 0.2]

32.8%

 

 − 51.2%

 

7.2%

101 110

1, 3, 4, 5

 

 − 33.6%

Damp. [0.02 − 0.2]

15.2%

 

 − 50.5%

 

21.5%

101 101

1, 3, 4, 6

 

51.3%

Damp. [0.02 − 0.2]

20.3%

 

 − 50.5%

 

8.5%

101 011

1 3, 5, 6

 

116.1%

Damp. [0.02 − 0.2]

24.5%

 

 − 51.1%

 

19.8%

011 110

2, 3, 4, 5

 

 − 55.4%

Damp. [0.02 − 0.2]

4.9%

 

 − 50.0%

 

 − 3.2%

011 101

2, 3, 4, 6

 

 − 19.1%

Damp. [0.02 − 0.2]

8.8%

 

 − 50.6%

 

6.0%

011 011

2, 3, 5, 6

 

27.7%

Damp. [0.02 − 0.2]

16.8%

 

 − 50.5%

 

12.3%

010 111

2, 4, 5, 6

 

 − 11.3%

Damp. [0.02 − 0.2]

19.6%

 

 − 50.7%

 

14.0%

001 111

3, 4, 5, 6

 

 − 57.7%

Damp. [0.02 − 0.2]

11.6%

 

 − 50.3%

 

 − 2.2%

111 110

1, 2, 3, 4, 5

Damp. [0.09 − 0.2]

11.0%

Damp. [0.02 − 0.2]

10.3%

 

 − 47.9%

 

9.3%

111 101

1, 2, 3, 4, 6

Damp. [0.09 − 0.2]

188.0%

Damp. [0.02 − 0.2]

23.1%

 

 − 48.5%

 

 − 0.0%

111 011

1, 2, 3, 5, 6

Damp. [0.09 − 0.2]

333.0%

Damp. [0.02 − 0.2]

29.9%

 

 − 49.0%

 

18.7%

110 111

1, 2, 4, 5, 6

Damp. [0.09 − 0.2]

216.7%

Damp. [0.02 − 0.2]

31.2%

 

 − 49.5%

 

1.4%

101 111

1, 3, 4, 5, 6

 

 − 9.5%

Damp. [0.02 − 0.2]

20.9%

 

 − 48.8%

 

 − 2.0%

011 111

2, 3, 4, 5, 6

 

 − 45.0%

Damp. [0.02 − 0.2]

8.1%

 

 − 47.7%

 

15.2%

111 111

1, 2, 3, 4, 5, 6

 

113,114.8%

 

67,855.7%

 

49.1%

 

51,811.1%