South West of England Regional Development Agency

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1 South West of England Regional Development Agency Wave Hub Development and Design Phase Wave Energy Converters Mooring System Study May 200

2 South West of England Regional Development Agency Wave Hub Development and Design Phase Wave Energy Converters Mooring System Study May 200 Contents Amendment Record!" #$#! % & '(!" #$# # )!" #$# # *!" #$# + ' # '!!*!" &

3 Contents 1 Introduction 1 2 Summary & Recommendations 3! "#$! % "& #! ' ( $ % 3 Study Assumptions 8 ) ) * &!! "#& #! % * +"# % 4 Mooring Results Box Shaped WEC 18 # ) + - ) ". * -! ** % $ "& /#- % 5 Mooring Results - Cylindrical WEC 27! # '! + - '! " )! * - 0!! **!% $ "& /#-

4 Mooring Results - Navigational Buoy 35 % #! % + -! % " ) % * - ) %! **. %% $ "& /#-. 7 Anchoring Systems 40 ' 0 ' "& /#- 0 ' "& # 0 8 Installation and Removal 42 ) "& #( ) *( ) $ List of Figures List of Tables i ii

5 List of Figures / 0 +' ) +' & 0 + /# + $ 3-&4 + # 0+ $ 3-&4 + ' # 0# 5- $ 3$ 4 + # 0# 5- $ 3$ 4 +* /# 74-&4 +* # 0 74-&4 +*' # 0# 5-4-&4 4 +* # 0# 5-4-&44 $ +". '!%$ +" /#.//1'!%$ +"' # 0.//1'! )!! 8 ) ) '! '" '( '8 WGEHDD020-0-R i

6 List of Tables ' & ! ' & '' -+ $ 3-&4 ' 4+ $ 3-&4 ' '* -+ 4-&4 ' '" 4+ 4-&4 '( -+ %$ '8 4+ %$ * #/ $ 3-&4 8 4 $ 3-&4 ) ' # 0/ $ 3-&4 # 0/ $ 3-&44 * # 0/ $ 3-&44 " # 00 $ 3-&4 04 ( # 00 $ 3-&4 04 * 8 # 00 $ 3-&4 " * #/ 74-&4 ( * 4 74-&4 8 WGEHDD020-0-R ii

7 *' # 0/ 9 74-&4# '! * ** # 0/ 74-&4 4 # 0/ 74-&44 ' ' *" # 00 4-&4 04 ' *( # 00 4-&4 04 '' *8 # 00 4-&4 ' " #/.//1'! '* " 4 %$ '8 "' # 0/.//1'! ') " # 0/ 2.//1'! ') WGEHDD020-0-R iii

8 1 Introduction. >./ ; : < 0 9=? >. - & ; 4 A. ; -&4 -. ; -&4 ;? +. < +. ; & < -. 4 # -&4 3 WGEHDD020-0-R

9 ! WGEHDD020-0-R

10 2 Summary & Recommendations " # -&4 $ 3 74; 3 ; ; ; ; &4A A ; -&4 ; B # 0 )1 4 $ -.4 0@A*!% Easting = Northing = *!2"* 0 -&4%$ 0 *@. A!@./ A - + 9=#1-$ - + 9=# =#1 WGEHDD020-0-R

11 + &:-.: $ % & & ; 9= # 1 &90%; - C))8 #!!*-; 8!*A 3 ;-&4 #! -&4 3 ' ( ) 1 &- # 2 *! < ; A<? -&4? < $ 3 3 ; ; -&4 ; 3 * WGEHDD020-0-R

12 # # -&4 3@"A "! * ;** '! ;*! / <? -&4 < D ; "2D -&4 0 2 # ') 8!!; * ( + - # 5-33 D + ;*" # /2/2+/; //3 + -&4; < 5- B2 ; 3-&4 3-&4; -&4F. +/ ) + <+ ; ; ; WGEHDD020-0-R

13 ?3? *? : ; ; B 4 F -&4 ; -& ! 8G3'' *!AD D * ;? A 2?? &? -&4 ; ; ; <?; 2 -&4 -&4 ; 2 -?? -&4 WGEHDD020-0-R-003-2

14 0 <?; -&4 / <? -&4? ; B 17@17A WGEHDD020-0-R

15 3 Study Assumptions $ $ ( # " / / +/; H / ;# # + / G@/ / +/A ; 3 ; 4 % & ; 9=#1 ; + ' ; C))8#!!* '';? '!! - #1 -. ; ; 12.3 ;? 3 ;A WGEHDD020-0-R

16 S ( ω) = j= 1 4λ j + 1 ω 4 Γ λ ( ) j 4 0 j λ j ω H 2 sj 4λ+ 1 j 4λ j + 1 ω exp 4 ω 0 j 3 ' +' $2/ 2 ) 3 )! 8! (! "! *!! '!!!!!!! *!!!!! *!!!!! *!! '!!! '*!! /JK 12. HG ;!!?!!?. ;?? ;? WGEHDD020-0-R

17 Table Extreme Wave Conditions for SW Wave Hub Location Wave Direction ALL (Deg) Return Period Hs(m) T(s) Hs(m) T(s) Hs(m) T(s) Hs(m) T(s) Hs(m) T(s) Hs(m) T(s) Hs(m) T(s) Hs(m) T(s) Hs(m) T(s) Hs(m) T(s) Hs(m) T(s) Hs(m) T(s) (1 in X yr) Notes: 1. Results are based on Met Office RESULTANT wave data 3 hour events and whole record (JULY 1998 TO MAY 2005) 2. Length of record is 1.75 years accounting for gaps 3. Weibull fit WGEHDD020-0-R

18 Table Extreme Wind Data for SW Wave Hub Location Return Period Wind Speed (m/s) (1 in x yr) Weibul Fit Gumbel Fit Notes: 1. Results based on Met Office data July 1998 to May Based on SANDS analysis all directions 3. Weibul fit $$ A ; ; )!!;*;'*!;*(*8!; +'- ; 4 33;D 3@ A WGEHDD020-0-R

19 $2%! # - B' 4I* 3-&4@ A;4I! -&4!*? ' "8? ' 2 F = 0.5 ρ CD A A - ''' $ 3-&4 $$ 5)/ %& Direction Area [m2] CD rho-water Vw [m/s] Fw [N] 2.41E E E E E+05 Fw-x [N] 0.000E E E E E+05 Fw-y [N] 2.41E E E E E+00 Fw-z [N] 0.000E E E E E+00 Arm-x [m] Arm-y [m] Arm-z [m] Mw-x [N-m] -.040E E E E E+00 Mw-y [N-m] 0.000E E E E E+05 Mw-z [N-m] 0.000E E E E E+00 WGEHDD020-0-R

20 $'&5)/ %& Direction Area [m2] CD rho-water Vw [m/s] Fw [N] 5.757E E E E E+0 Fw-x [N] 0.000E E E E E+0 Fw-y [N] 5.757E+0.949E E E E+00 Fw-z [N] 0.000E E E E E+00 Arm-x [m] Arm-y [m] Arm-z [m] Mw-x [N-m] 2.878E E E E E+00 Mw-y [N-m] 0.000E E E E E+07 Mw-z [N-m] 0.000E E E E E+00-4-&4 '*'" $* & )/ %& Direction Area [m2] CD rho-water Vw [m/s] Fw [N] 3.221E E E E E+04 Fw-x [N] 0.000E E E E E+04 Fw-y [N] 3.221E E E E E+00 Fw-z [N] 0.000E E E E E+00 Arm-x [m] Arm-y [m] Arm-z [m] Mw-x [N-m] E E E E E+00 Mw-y [N-m] 0.000E E E E E+04 Mw-z [N-m] 0.000E E E E E+00 WGEHDD020-0-R

21 $.&& )/ %& Direction Area [m2] CD rho-water Vw [m/s] Fw [N] 1.535E E E E E+0 Fw-x [N] 0.000E E E E E+0 Fw-y [N] 1.535E E E E E+00 Fw-z [N] 0.000E E E E E+00 Arm-x [m] Arm-y [m] Arm-z [m] Mw-x [N-m] 1.535E E E E E+00 Mw-y [N-m] 0.000E E E E E+07 Mw-z [N-m] 0.000E E E E E+00 - '('8 %$ ; $0 Direction Area [m 2 ] CD rho-water Vw [m/s] Fw [N] 1.208E E E E E+03 Fw-x [N] 0.000E E E E E+03 Fw-y [N] 1.208E E E E E+00 Fw-z [N] 0.000E E E E E+00 Arm-x [m] Arm-y [m] Arm-z [m] Mw-x [N-m] E E E E E+00 Mw-y [N-m] 0.000E E E E E+03 Mw-z [N-m] 0.000E E E E E+00 WGEHDD020-0-R

22 $& Direction Area [m 2 ] CD rho-water Vw [m/s] Fw [N] 2.149E E E E E+04 Fw-x [N] 0.000E E E E E+04 Fw-y [N] 2.149E E E E E+00 Fw-z [N] 0.000E E E E E+00 Arm-x [m] Arm-y [m] Arm-z [m] Mw-x [N-m] 1.74E E E+04.82E E+00 Mw-y [N-m] 0.000E+00.82E E E E+04 Mw-z [N-m] 0.000E E E E E+00 $' "/ & ;&: ; '!;H - ;-.: ; + G C!!" ; ; #0 % *"*''2; H: ; -. 1 G; C!!"4/ 3" ; ;? ; B 4 F -&4 / -&4 ; ; #? $* ( + ( / 33 -&4 WGEHDD020-0-R

23 A ; 3 B3 B 5- ; B ; ;@ A; ; ; ; 3 ; ; A :@5-: A / 3;; ;*"; BB B 3-&4-&4 ; 2B# ;*" # 2 4I! 2 43I!!* 2 4I! + ; $.! 3+ -&4 2 < ; B + B <; WGEHDD020-0-R

24 2 3 B H G + 2 ; ; 3 H ; B WGEHDD020-0-R

25 4 Mooring Results Box Shaped WEC ' ' ) $ 3 B 5- ; ; ( &3 ( 3-&4 ; 33;;DD 3;;D3; L4:;M4:;N4: 3; ;D3 + '2# ( 35)/ %& 0JK *!! $JK *!! 1 JK *! JK!! + JK *! JK *;"* #J?K *"*&O!( 33J?2 K *("*"&O!) J?2 K *("*"&O!) DDJ?2 K!!')&O!) L4:JK!! M4:JK!! N4:JK!! 5-3 ;(!! D 5- + < WGEHDD020-0-R

26 '( 35)/ %& '2+ # &33 25)/ %& #. / M J%2K J%2K J%2K J%22K J%22K J%22K ) &O! ) &O! (*(*&O!" 8))(&O!8 8))(&O!8!!!!&O!! '$ ( + -&4B ; -&4 # ; ; + WGEHDD020-0-R

27 '2(! +35)/ %& '$(! ( )/ & WGEHDD020-0-R

''(! ( +7 +35)/ & '' (! & ; ; <? 3*! ; 8* 3 ; *! 4 3-&4 '4 * ; '$2(! 35)/ %& 0 # 7 $? @A JK J?

28 ''(! ( )/ & '' (! & ; ; <? 3*! ; 8* 3 ; *! 4 3-&4 '4 * ; '$2(! 35)/ %& 0 # 7 JK J?K J K J%K 0 J%K 4P * **! "&2!!&O!) '&O!( / 0 8* ( "'!&2! '!!"&O!" " &O!( 4 *! **! "&2!!&O!) '&O!( P *! WGEHDD020-0-R

29 ''2(! +/ 35)/ %&&8 # % P 3;;DDI! '*2(! +/ 35)/ %&&8 # % JK @!!;!!;2!!A 8 @!!;!!;2!!A P 3;;DDI! '* (!! " ( $ 3 -&4;B2 ; ; 0 WGEHDD020-0-R

30 )! 8!* 3 < #3 '!?% 88*?% 2!!?% "*?% 2 30?@$0A ; )E E ; '*E!E 2; ; B 2 ; D WGEHDD020-0-R

31 '.(!!35)/ %&3! & Environmental Direction Mooring Line No. Static Load at Fairlead Dynamic Load at Fairlead - 2*RMS Total Load Total / Breaking Load [deg] [-] [N] [N] [N] % E E E % E E E % E+0.84E E % E E E % E E E % E+0.83E E % E E E % E E E % E E E % E E E % E E E % E E E % E+0.85E E % E E E % E E E % E E E % E E E % E E E+0 2.7% E+0.02E E % E E E % E E E % E+05.99E E % E+0.17E E % E E E % E E E % E+0 7.0E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E+0.14E E % E E E % E E E % E E E+0 35.% E E E % E+0 1.1E E % E E E % E E E % E E E % E E E % E E E % E E E+0 22.% E E E % E E E % E+0 9.E E % E E E % E E E % E+0 2.8E E+0 1.7% E E E % E+0.2E E % E E E % E+0 2.8E E+0 1.7% E+0.2E E % E E E % E+0 9.9E E % E E E % WGEHDD020-0-R

32 '02(!!35)/ %&3! & Environmental Direction Mooring Line No. Static Load at Fairlead Dynamic Load at Fairlead - 2*RMS Total Load Total / Breaking Load [deg] [-] [N] [N] [N] % E+0 3.2E E % E E E % E E E % E E E % E+0.17E E % E E E % E E E % E+0.18E E % E E E % E E E % E E E % E E E % E+0 5.7E E % E E E % E+0 3.2E E % E E E % E E E % E+0 9.2E E % E E E % E E E % E+0.72E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E+0 3.0E E % E+0 4.9E E % E E E % E+0.8E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E+0.30E E % E E E % E E E % E E E % E E E % E+0.29E E % E E E % WGEHDD020-0-R

33 '. -+/ $ 3-& ; 3*; D!?% "!!?%3;3 8 3 '2(!!+/35)/ %& Box Shape Mooring Lines at Corners Mooring Lines at Center WEC Static Total Static Total Ftot [N] 2.41E E E+0 4.0E+0 Fx [N] -2.40E E E E+0 Fy [N] -1.47E E E+0 2.4E+0 Fz [N].13E E E E+05 Fhor [N] 2.40E E+0 2.8E+0 4.0E+0 angle [deg] WGEHDD020-0-R

34 5 Mooring Results - Cylindrical WEC! "! #$ %%%&& & '()( *(!!& + #$!" - /! % % %&& '(- )(- *(- $.. 0#. 0.. #. $1$. $1$.$" " " " !! + #$ 9! #0 WGEHDD020-0-R

35 *2( 3: & %& *+ # &33 2: & %& #. / M J%2K J%2K J%2K J%22K J%22K J%22K ( &O!' ( &O!' 8'&O!* (&O!" (&O!"!!!!&O!! *$ ( + 3 -& &4 +* WGEHDD020-0-R

36 *2(! ) : & %& *$(! ( +7 +3& %&& 3 WGEHDD020-0-R

*'(! ( +7 +3& %&&3 *' (! & 2 2; 3 *; **; *! 2D ; 4 *'4 * ** ; *$2(! ;3: & %&( 0 # 7 $? @A JK J?

37 *'(! ( +7 +3& %&&3 *' (! & 2 2; 3 *; **; *! 2D ; 4 *'4 * ** ; *$2(! ;3: & %&( 0 # 7 JK J?K J K J%K 0 J%K 4P * **! "&2!!&O!) '&O!( / 0 ** ( "'!&2! '!!"&O!" " &O!( 4 *! **! "&2!!&O!) '&O!( P *! WGEHDD020-0-R

38 *'2(! +/ 3: & %& & 38 # % @ P 3;;DDI! **2(! +/ 3: & %&& 8 # % @!!;!!;2!!A P 3;;DDI! ** (!! # 4-&4*"*(; B2 ; ; + )! 8!* 3 < 3!! )!?%!! "*!?% 0?@$0A ; ((E 8'E ; ((E!"E D -&4 3-&4; D 0D 3 WGEHDD020-0-R

39 2 ; D Environmental Direction Table 5. - Mooring Line Loads for Cylinder WEC for Lines at Circumference Mooring Line No. Static Load at Fairlead Dynamic Load at Fairlead - 2*RMS Total Load Total / Breaking Load [deg] [-] [N] [N] [N] % E E E % E E E+0.10% E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E+0.901% E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % WGEHDD020-0-R

40 Environmental Direction Table Mooring Line Loads for Cylinder WEC for Lines at Center Mooring Line No. Static Load at Fairlead Dynamic Load at Fairlead - 2*RMS Total Load Total / Breaking Load [deg] [-] [N] [N] [N] % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E+05.27E % E E E % E E E+0.890% E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % E E E % *. -+/ 4-& ; 3!!; ; D D 0 *8 3 D "!?% ;!' WGEHDD020-0-R

41 *2(!!+/3& )/ %& Cylinder Shape Mooring Lines at Circumference Mooring Lines at Center WEC Static Total Static Total Ftot [N] 8.83E E E E+0 Fx [N] 0.00E E E E+0 Fy [N] 8.83E E+0 4.7E E+0 Fz [N] 5.24E E+04.0E E+04 Fhor [N] 8.83E E E E+0 angle [deg] WGEHDD020-0-R

42 Mooring Results - Navigational Buoy.. ) 1 ;? 5- ; ( &3 ( % $.//1 0'! -. ; F 3 %$ " ;33;;DD 3;;D3;L4:;M4:;N4: 3;;D3 +" ;DI!!.2# ( 3 1) <$= $JK '! 01 JK ('8 JK * + JK!* JK #J?K 8!&O!' 33J?2 K '**"&O! J?2 K '**"&O! DDJ?2 K! "!&O!' L4:JK!! M4:JK!! N4:JK!! WGEHDD020-0-R

43 .2 1) <$= GRP Topmark Topmark Support HIPPO 155 Lantern 350mm Radar Reflector Safety Ring Solar Panels Aluminium Daymarks Stainless Steel Battery Box 00 x 00 x 2.5m Superstructure 2 No. Lifting Eyes 3.0mØ Elastomer Hull Galvanised MS. Tail 273Ø x 3.0m Cast Iron Ballast Weights (4 x 75kg) Single Point Mooring Eye : A %$ +" B B ; 2B" 5- +"' "' WGEHDD020-0-R

44 .2( 3 1) <$= # # 2 4I! 2 43I!!* 2 4I! & %$ 8! - "(P!Q'% 4*P!Q % WGEHDD020-0-R

.+ 33 3 #. / M J%2K J%2K J%2K J%22K J%22K J%22K!' &O!'!' &O!' '"&O!' '!!&O!' '!!&O!'!!!!&O!!.$ ( + %$ %$ 8!

45 #. / M J%2K J%2K J%2K J%22K J%22K J%22K!' &O!'!' &O!' '"&O!' '!!&O!' '!!&O!'!!!!&O!!.$ ( + %$ %$ 8!!? 3.$(! +3 1)! <$=.' (! 4 %$ "' 4 " WGEHDD020-0-R

46 .$2(! 3 1) <$= JK #J?K 7 J K J%K $?0 4 ') '"!*!&2!' "!&O!8 "!&O!".'2(! +/ 1) <$=8 # % JK 3;;DDI!.* (!! 3 #3 ;5-; Fmax = !! 3 *('&O! %!&O! %3*'&O!'%3 E $0!E.. -+/?!!?+?0I;$I.I!*? '! (?; WGEHDD020-0-R

47 7 Anchoring Systems 0 0 ) & ; ; ;4/ 3" ; ;? +/ //2+/ &? ;@$ ; ;A 2 /. D ; A 3 A / & &? 3. &/0 0$ )+/) + ; ; ; ; ; B 4 WGEHDD020-0-R

48 F -&4 ; -&4 D ; D -&4; WGEHDD020-0-R

49 8 Installation and Removal +/)1! 8G3'' *!A/ ;?D D * ;? &? (! 1 -&4 ; ; ; <?; 2 -&4 -&4 ; 2 -?? -&4 0 <?; -&4 $ - / <? -&4? ; WGEHDD020-0-R

50 B 17 WGEHDD020-0-R

51 Halcrow Group Limited Ash House Falcon Road Sowton Exeter EX2 7LB Tel +44 (0) Fax +44 (0)

Research Title DYNAMIC MODELING OF A WIND-DIESEL-HYDROGEN HYBRID POWER SYSTEM

Research Title DYNAMIC MODELING OF A WIND-DIESEL-HYDROGEN HYBRID POWER SYSTEM Presenter: Md. Maruf-ul-Karim Supervisor: Dr. Tariq Iqbal Faculty of Engineering and Applied Science Memorial University of