NSTX Coil Model Deformation m Ring 2x 4

NSTX Coil Model Deformation (m) Ring: 2”x 4” Tie bar: 3”x 3” Ring: 2”x 8” Tie bar: 3”x 3” Tie bar: 2”x 2” results almost same as 3”x 3” tie bar

Result: with the ring and bar structure, out-of-plane force can be significantly reduced r: radius direction; theta: out-of-plane direction; z: center stack direction ring: 2"x 8" diamond bracing: 3"x 3" case no additional support (plasma curr=0 A) Total end reaction force (k. N) 300 161 160 144 141 146 156 End reaction force r (k. N) -127. 1 -40. 9 -74. 1 -48. 1 -37 -63. 2 -35. 1 End reaction force theta (k. N) Out-of-plane force -267. 5 -124. 5 -111. 9 -98. 6 100 118. 6 End reaction force z (k. N) 47. 2 -93. 6 -86. 3 -93. 8 92. 2 72 94. 9 disp in radial direction (mm) 0. 5 0. 66 0. 57 0. 63 0. 66 0. 62 0. 66 disp in theta direction (mm) 4. 95 2. 11 2. 18 -2. 53 -2. 49 -2. 46 disp in z direction (mm) -0. 73 0. 6 0. 57 0. 59 -0. 38 -0. 35 -0. 38 ring and diamond bracing 1 Upper Al. block displacement (mm) parameters: TF=129. 7, OH=-24, PF 1 a=-4, PF 1 b=-8, PF 1 c=-12, PF 2 a=0, PF 2 b=0, PF 3 a=-16, PF 3 b=-16, PF 4 b=-20, PF 4 c=20, PF 5 a=-32, PF 5 b=-32, PFab 1=-1, PFab 2=-1, plasma=0 unit: KA

Result: with the ring and bar structure, out-of-plane force can be significantly reduced r: radius direction; theta: out-of-plane direction; z: center stack direction ring: 2"x 4" diamond bracing: 3"x 3" case no additional support (plasma curr=0 A) Total end reaction force (k. N) 300 169 174 143 152 150 168 End reaction force r (k. N) -127. 1 -42 -74. 3 -45. 2 -39. 8 -58. 5 -40. 9 End reaction force theta (k. N) Out-of-plane force -267. 5 -138. 7 -124. 4 -112. 8 118. 9 121. 8 128. 7 End reaction force z (k. N) 47. 2 -87. 9 -96. 1 -75. 3 85. 5 65. 5 99. 8 disp in radial direction (mm) 0. 5 0. 67 0. 55 0. 68 0. 67 0. 65 0. 64 disp in theta direction (mm) 4. 95 2. 33 2. 38 2. 44 -2. 76 -2. 75 -2. 73 disp in z direction (mm) -0. 73 0. 54 0. 52 0. 54 -0. 36 -0. 35 -0. 36 ring and diamond bracing 2 (each leg has different force) Upper Al. block displacement (mm) parameters: TF=129. 7, OH=-24, PF 1 a=-4, PF 1 b=-8, PF 1 c=-12, PF 2 a=0, PF 2 b=0, PF 3 a=-16, PF 3 b=-16, PF 4 b=-20, PF 4 c=20, PF 5 a=-32, PF 5 b=-32, PFab 1=-1, PFab 2=-1, plasma=0 unit: KA

Result: with the ring and bar structure, out-of-plane force can be significantly reduced r: radius direction; theta: out-of-plane direction; z: center stack direction ring: 2"x 8" diamond bracing: 2"x 2" (results almost same as 3”x 3” tie bar) case no additional support (plasma curr=0 A) Total end reaction force (k. N) 300 161 160 144 141 146 156 End reaction force r (k. N) -127. 1 -40. 8 -74. 2 -48. 1 -37. 1 -63. 2 -35. 3 End reaction force theta (k. N) Out-of-plane force -267. 5 -124. 9 -112. 2 -98. 9 100. 3 118. 8 End reaction force z (k. N) 47. 2 -93. 6 -86 -93. 7 92. 4 72. 2 94. 8 disp in radial direction (mm) 0. 5 0. 66 0. 57 0. 63 0. 66 0. 62 0. 66 disp in theta direction (mm) 4. 95 2. 12 2. 19 -2. 53 -2. 49 -2. 47 disp in z direction (mm) -0. 73 0. 6 0. 57 0. 59 -0. 38 -0. 35 -0. 38 ring and diamond bracing 3 (each leg has different force) Upper Al. block displacement (mm) parameters: TF=129. 7, OH=-24, PF 1 a=-4, PF 1 b=-8, PF 1 c=-12, PF 2 a=0, PF 2 b=0, PF 3 a=-16, PF 3 b=-16, PF 4 b=-20, PF 4 c=20, PF 5 a=-32, PF 5 b=-32, PFab 1=-1, PFab 2=-1, plasma=0 unit: KA