Current Density Algorithm
(without twist correction, assumes coil cross sections are ~ parallel and ~ normal to plasma)
Given:
Coil bore allowance: CBA 13.3 cm
Turn insulation thickness TI 0.08 cm around each turn, assuming .0065 in glass
max current per turn CTM 21000 Amps/turn power supply limit
min web thickness TWEB 1.49 cm
ground wrap thickness TGRND 0.1 cm
minimum gap between coils CCGAP 1 cm
no of lateral turns / pack NTL 2 turns always 2 turns wide per pack
cable packing fraction CPF 0.75 from latest cable design
Assume / return from Coilopt:
Current in coil (n) IC(n) 649600 Amps calculated in coilopt
Min coil to coil separation CC 10 cm maximized in coilopt
Min coil to plasma separation CP 19 cm maximized in coilopt
Calculate:
Current per winding pack ICA(n) 324800 Amps =IC(n) /2
Current per pie ICP(n) 162400 Amps =IC(n) / 4
no of turns in radial dir. NTR 8 turns =integer(ICP/CTM)
Coil center to pack start W1 0.84 cm =TWEB/2+TGRND
winding to winding W2 1.20 cm =2*TGRND+CCGAP
Width for coil pack WPACK 3.55 cm =(CC-2*W1-W2)/2
Radial build for pack RPACK 11.40 cm =2*(CP-CBA)
gross area for pack APACK 40.51 cm^2 =WPACK*RPACK
Insulation area AINS 7.79 cm^2 =NTL*2*TI*RPACK+NTR*2*TI*(WPACK-2*NTL*TI)
copper area ACU 24.54 cm^2 =(APACK-AINS)*CPF
Current density in copper JCU 13233 A/cm^2 =ICA/ACU