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CASE STUDY PRESENTATION. Case number 2 : Design a Nb -Ti superconducting quadrupole with a 120mm aperture for the upgrade of the LHC interaction region operating at 1.9K. FERRAND, G./JECKLIN, N. / PURUSHOTHAMAN, S. / STODEL, M.H. / YUE, W. Our quadrupole design. Parameters: - PowerPoint PPT Presentation
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Case study 2, group B
FERRAND, G./JECKLIN, N. / PURUSHOTHAMAN, S. / STODEL, M.H. / YUE, W.
CASE STUDY PRESENTATION
Case number 2 :Design a Nb-Ti superconducting quadrupole with
a 120mm aperture for the upgrade of the LHC interaction region operating at 1.9K
FERRAND, G./JECKLIN, N. / PURUSHOTHAMAN, S. / STODEL, M.H. / YUE, W.
Case study 2, group B
FERRAND, G./JECKLIN, N. / PURUSHOTHAMAN, S. / STODEL, M.H. / YUE, W.
Our quadrupole design
Parameters:
Number of cable layers : 2
(Rutherford-like cable)Pitch angle
Pitch length = 120 mm
Compaction:
Insulator : Filling factor :
Rutherford cable :
𝑡𝑎𝑣−𝑐𝑎𝑏𝑙𝑒𝑤𝑐𝑎𝑏𝑙𝑒
Quadrupole :
𝑤𝑡𝑜𝑡
Case study 2, group B
FERRAND, G./JECKLIN, N. / PURUSHOTHAMAN, S. / STODEL, M.H. / YUE, W.
Our quadrupole design
0 20 40 60 80 100 1200
20
40
60
80
100
120
140
160
180
Aperture diameter =120(mm), Aperture radius = 60(mm)
r=60 mm
Coil width (mm)
Gra
dien
t (T
/m)
Nb-Ti 1.9 K
Our choices : • Gradient = 140(T/m)• Coil width = 32(mm) / divided in 2 cables of 16(mm)
Gradient as a function of coil width
Case study 2, group B
FERRAND, G./JECKLIN, N. / PURUSHOTHAMAN, S. / STODEL, M.H. / YUE, W.
Our quadrupole design
Flükiger, CAS, Erice (I) 25 April - 4 May 2013
4
Typical values of strand diameters
Flükiger, CAS, Erice (I) 25 April - 4 May 2013
Typical values of Cu/SC ratio (ratio btw. area of Cu and area of SC material)
Our choice : 0.8 mm
Our choice : 1.56
Typical values of pitch angle
Our choice : 14.93°
Bruzzone, CAS, Erice (I) 25 April - 4 May 2013
Typical values width/thickness compaction
Bruzzone, CAS, Erice (I) 25 April - 4 May 2013
Our choice : Cw = -6.67% Cth= -10%
NbTi Nb3Sn NbTi Nb3Sn
NbTi Nb3SnNbTi Nb3Sn
Case study 2, group B
FERRAND, G./JECKLIN, N. / PURUSHOTHAMAN, S. / STODEL, M.H. / YUE, W.
100 %Intersection :
80%
Margin :
Limit temperature : 4 K
0 1 2 3 4 5 6 7 8 9 10111213141516171819200
500
1000
1500
2000
2500
3000
3500
4000
4500
5000NbTi 1.9 K
Field (T)
Criti
cal c
urre
nt d
ensit
y Jc
(A/m
m2)
Load Line Calculation
Case study 2, group B
FERRAND, G./JECKLIN, N. / PURUSHOTHAMAN, S. / STODEL, M.H. / YUE, W.
Comparison with Nb3Sn
Same parameters of the cables with Nb3Sn100 %
80% :
Margin :
Comparison 80% :NbTi – Vs – Nb3Sn
Case study 2, group B
FERRAND, G./JECKLIN, N. / PURUSHOTHAMAN, S. / STODEL, M.H. / YUE, W.
Possible Layout
Cancel: :
Possible solution:
Source : Todesco, USPAS 2012
Case study 2, group B
FERRAND, G./JECKLIN, N. / PURUSHOTHAMAN, S. / STODEL, M.H. / YUE, W.
EM forces and stress at operational conditions
• a1 = 0.06 (m)• a2 = 0.0924 (m)• Jo-op = 396 (A/mm2) = 3.96 108 (A/m2)
0.025 0.03 0.035 0.04 0.045220
215
210
205
200
195
190
185
180
175
170
Radius (m)
Str
ess
on m
id-p
lane (
MP
a)
173.205
211.885
midd r( )
a 2a 1 r
mkNaa
a
a
aaJFx /726
3
1ln
3612
72
1
12
32 31
2
1
2
41
42
200
Comparison LHC Dipoles:
MPaaa
aa
a
a
aaJavplanemid 614
1
3
4ln
3
197
36
1
2
32
12
31
2
1
2
41
42
200
__
Sector approximation
mkNaaa
a
a
aa
JFy /15202
2
3
9
1ln
6
32
12
1
36
325
2
32 31
31
2
1
2
413
2
200
Case study 2, group B
FERRAND, G./JECKLIN, N. / PURUSHOTHAMAN, S. / STODEL, M.H. / YUE, W.
Dimensioning
90 % of short-sample conditions :Iron shield: .
Maximum force applied to the collar : = 2.1 (MN/m).
Strain :
From LHC dipole collars data (including margins): 10 mm for .
By analogy, for our quadrupole, 15 (mm) must be enough, including margins.
