TF Magnet. Inputs. Material Data. Physics Parameters. R0 plasma major radius B toroidal field at plasma major radius. Bounding Box for the Plasma

Transcription

1 Magnet Verson: Hgh Temperature Superconductor, Composton ltered rom RIES-T Date cqured: May 15, 7 From: L. Bromberg By: Z. Dragojlovc Commented: L. Carlson, 9/8/1 Note 9/1: rrently the systems code s usng the r-theta plane, Next Step, conservatve costng or the magnet algorthm out o the 7 wthn the code. 1. r-theta plane, "PPPL Verson, Conservatve Costng". r-theta plane, "PPPL Verson" 3. r-theta plane, "Next Step", conservatve costng 4. r-theta plane, "Next Step" 5. r-theta plane, HT 6. r-theta plane, Nb3Sn 7. r-theta plane, RIES-T col desgn wth xed volume ractons Inputs Materal Data Physcs Parameters R major radus B torodal eld at major radus T Boundng Box or the Plasma ξ ξ lower and upper bounds n radus lo lo h η η lower and upper bounds n heght h These nputs were extracted rom the contour obtaned earler.

2 Inboard Radal Buld From Plasma Edge to Col (ths s now slghtly derent usng the generc buld scheme) δ 1,...,9 1 nboard scrape-o layer nboard rst wall regon thckness 3 nboard rst wall to blanket gap 4 nboard blanket thckness 5 nboard blanket to sheld gap 6 nboard sheld thckness 7 nboard sheld to vacuum vessel gap 8 nboard vacuum vessel thckness 9 nboard vacumm vessel to col gap Number o Cols N 16 Outputs Volume Fractons o Derent Materal Components " SS316" "YBCO" "" "Inconel" He steel "Polyamde" "He" Total Volume ns V Total Cost

3 C Equatons Inboard Radus o the Inner Surace o the Col 9 nner lo 1 r ξ δ Maxmum Magnetc Feld B R B r max T T nner rrent Densty n Superconductor ( max max, ) obtaned by nterpolaton rom expermental curve j ( B T ) B j T sc Not really nterpolaton but uses nearest value rom the table. Use nstead polynomal jsc (-.98*x^+1.4*x+1.3)e8, also used n C. Kessel s sysengr. code Btmax rrent densty 1.5e9 1.35e9 8.84e8 5.43e8 1.3e8 rrent Densty n Copper (Ths s currently set at.4e8 /m n magnets.data, NOT as sc/ n both SC and DCLL.) Cross-Sectonal rea Fractons o Cable Components d He ns.5 helum racton.11 nsulator racton max ( BT ) thckness µ σ ( d ) racton (He and nsulator racton set n nput le magnets.data)

4 rrent n the Col I 4, (Set n magnets.data nput le) Cross-Sectonal reas I copper I superconductor + strands strands turn strands turn ( ) He ns nsulator ns turn ns Inconel turn Number o Turns per Wndng Pack N wp B π R T 7, where µ 4π 1 ` N I µ Col Casng Dmensons R 4. r nner outer radus o the outer leg R1 r nner ntal guess or nner radus o nner leg teraton loop 1:5 a 3 BR.3551 ( 1 ) 1 ln 1 ln 16 R R R R R R + + total col casng σ b µ R R1 R1 R1 thckness. In the code, ths equaton s splt nto G1, G, and G3. The coecent s not.3551 but rather.8, whch should be ok or now, per C. Kessel. The coecent s a casng thckness multpler based on scalng FE results to match the T casng. Where s the reerence or ths equaton??? From ZD an 9 presentaton:

5 nner R1 r a correct the nner radus o nner leg end teraton loop Total Cross-Sectonal rea o the Col π R a N 1 In the code ths s called delta * wdth. Volume Fractons o Col Components steel ns turn 1 stanless steel 316 Nwp superconductor (YBCO) Nwp copper Nwp nconel nsnwp nsulaton steel ns He ( ) + N turn wp ns He + turn turn 1 sum o volume ractons s unty Total Volume o the Col Generate the outer and nner contour o the col:

6 r R z + 1 a b outer leg contour a b.7( R R1 ) r R z 1 + a1 b R1 R a1 curved porton o the nner leg contour zxp 1 b z s the heght o the X-pont xp r R 1 straght porton o the nner leg contour nner The equatons above were used n order to produce the nner Z ( ) ( r) contour o the col. outer Z Integrate the contours to obtan the volume: π R1 outer nner N r ( ( ) ( )) V Z r Z r dr r and outer Total Cost number o components C V ρ c PF PF 1 V ( ρ c + ρ c + ρ c + PF SS 316 SS 316 structure YBCO YBCO nconel nconel sheet polyamde polyamde nsulaton ρ materal densty o component ρ c + ρ c c materal unt cost o component volume racton o component ) ll the components are lsted n the materal data table, under Inputs, page 1.