1. LARP Technology Quadrupole Review
US LHC Accelerator Research Program
bnl - fnal- lbnl - slac
Supporting FEA for TQC
I. Novitski
LARP Technology Quadrupole Review
Nov 29 – Dec 1

2. TQC Design and Model Skin Yoke Collar Coil Control spacer Near Splice- P d S h i m n t c g K y I b z w s f B u M
Skin
Yoke
Collar
Coil
Control
spacer
Near Splice
Coil midplane shim
Body area
LJ area
Splice area
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

3. Model Material Properties, Boundary Conditions and Loads
1. Assembly at room temperature 300K
DRcoil
TQC01
TQC02
Stress in the coil pole block controled by material placed in the groove
During skin welding the yoke-to-collar interference at the coil parting plane compresses coil radially Rsh
Prestress in the coil during collaring generated at midplane by coil-to-coil interference, Mp shim
The yoke outer mid-plane gap (contact elements) is always open after skin welding (Sk).
2. Cool down from 300K to 1.9K
Material properties
3. LF at 1.9K , B=233T/m Fx=1.44MN/m
Fy=-2.19MN/m
Small reaction forces at pole of the first layer should remain
Coil peak stress should be less than MPa at all loads (based on TQS model result, 2D model singularities).
Stress in all structural elements should be below yield point.
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

4. Coil saz: 300K:162MPa, 1.9K:144MPa, B233Tm:146MPa
TQC Baseline Design with G10 in the pole groove, Mp=0.15mm,Rsh=0.075mm,St=0-0,Sk=0.3mm
67mm
-109mm
-129mm
-100MPa
-95MPa
-9MPa
-58MPa
-42MPa
-8MPa
162MPa
144MPa
146MPa
-64mm
-260mm
-228mm
Bmax
233T/m
300K
1.9K
44mm
-178mm
-191mm
+9MPa
DRcoil
MPa
MPa
MPa
Coil saz: 300K:162MPa, 1.9K:144MPa, B233Tm:146MPa
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

5. TQC-01 Real Body Model with epoxy in the groove, Mp=0. 075mm,Rsh=0
TQC-01 Real Body Model with epoxy in the groove, Mp=0.075mm,Rsh=0.05mm,St=0.05-0,Sk=0,3mm
-42MPa
21mm
-37MPa
-161mm
-13MPa
-36MPa
-24MPa
-7MPa
-37mm
55MPa
57MPa
66MPa
-238mm
1.9K
I=8kA
300K
38mm
-194mm
+9MPa
Training start
DRcoil
+70MPa
-162mm
+26MPa
+3MPa
+12MPa
+2MPa
+11MPa
saz
107MPa
-196mm
85MPa
66MPa
+26MPa
+11MPa
I=14kA
233T/m
I=12kA
I=9kA
-193mm
+12MPa
12kA slow training
9kA slow training
Coil saz: 300K:66MPa, 1.9K:55MPa, B233T/m:107MPa
Separation starts at 9kA, quenches, consistent with observed training behavior
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

6. TQC-01 Real LJ Model with epoxy, Mp=0. 075mm,Rsh=0. 075mm,St=0
TQC-01 Real LJ Model with epoxy, Mp=0.075mm,Rsh=0.075mm,St=0.05mm-0,Sk=0.3mm
-47MPa
-53MPa
-171mm
16mm
-25MPa
-38MPa
-31MPa
-15MPa
83MPa
-53mm
67MPa
-251mm
78MPa
300K
1.9K
I=8kA
35mm
-200mm
-17MPa
Training start
DRcoil
+36MPa
-194mm
+15MPa
-10MPa
+3MPa
-10MPa
+20MPa
111MPa
-217mm
93MPa
84MPa
+15MPa
I=14kA
233T/m
I=12kA
I=9kA
+3MPa
-216mm
12kA slow training
-5MPa
9kA slow training
Coil saz
No separation up to 12kA, no quenches, consistent with observed training behavior
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

7. Model for TQC-01 Splice Area with Stainless Steel Yoke
-247mm
-5mm
Extreme parameters
Mp=0.075mm
Rsh=0.075mm
St=0.05mm
Sk=0.4mm
-57mm
-331mm
300K
1.9K
-155mm
21mm
Coil saz:
300K-142MPa
1.9K -153MPa
Not a problem area
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

8. TQC-01 Model near Splice Area with Stainless Steel Yoke
Mp=0.075mm
Rsh=0.125mm
St=0.05mm
Sk=0.3mm
Coil seqv:
300K-163MPa
1.9K -175MPa
300K
1.9K
Coil seqv may reach >200MPa
at 1.9K if count on parameters variation
due to collared coil OD elliptical shape
(measured after disassembly).
Cable stress sensitivity
Coil m-p shim MPa/25mic
Collar-yoke radial shim MPa/25mic
Skin shrinkage after welding MPa/25mic
Normalized Ic vs. transverse pressure
for all samples tested at 12 T.
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

9. Summary for TQC-01
Coil prestress was generally lower than expected due to difference from design parameters:
Epoxy in the pole groove (~30MPa, possible yielding of pole)
Bigger size of two control spacers (attempt to correct calculated yoke asymmetry during assembly)
Smaller coil midplane shim
Coil seqv near splice area may reach >200MPa at 1.9K if parameter variations due to collared coil OD elliptical shape are considered (measured after disassembly).
TQC Baseline
TQC-01 as built (Body)
300K
1.9K
14kA
12(14)kA
Pressure at Inner pole, MPa
-100
-95
+/-9
-47
-53
+15(+36)
Pressure at Outer pole, MPa
-58
-42 -8
-38
-31
+3(+20)
Max azim. stress, MPa
162
144
146 83 67
93(111)
Coil dR at pole up, mm
-109
-129 16
-171
(-194)
Coil dR at midplane, mm
-64
-260
-228
-251
(-217)
Coil dR at pole near yoke split, mm 44
-178
-191 35
-200
(-216)
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

10. TQC-02 Model Features G10 in the pole groove
Possible glued pole inserts
Full round collars
Wider collar radial support
Full length iron yoke
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

11. TQC-02 Model (LJ) with G10, Mp=0.15mm,Rsh=0.075mmF,St=0-0,Sk=0.3mm
-100MPa
-95MPa
42mm
-124mm
-20MPa
-145mm
-75MPa
-60MPa
-20MPa
169MPa
168MPa
173MPa
-64mm
-266mm
-236mm
Bmax
233T/m
300K
1.9K
29mm
-39MPa
-233mm
-249mm
-1MPa
DRcoil
MPa
MPa
MPa
Coil saz: 300K:169MPa, 1.9K:168MPa, B233Tm:173MPa
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

12. TQC-02 Model (Body) with G10, Mp=0.15mm,Rsh=0.075mmF,St=0-0,Sk=0.3mm
-100MPa
-95MPa
58mm
-109mm
-20MPa
-134mm
-75MPa
-60MPa
-20MPa
170MPa
164MPa
167MPa
-67mm
-266mm
-236mm
Bmax
233T/m
300K
1.9K
33mm
-39MPa
-222mm
-209mm
+/-2MPa
DRcoil
MPa
MPa
MPa
Coil saz: 300K:170MPa, 1.9K:164MPa, B233Tm:167MPa
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

13. Model for TQC-02 Near Splice Area with Iron Yoke
-150mm
21mm
Mp=0.075mm
Rsh=0.075mm
St=0
Sk=0.3mm
-74mm
-269mm
-256mm
-8mm
DRcoil
Coil seqv:
300K-125MPa
1.9K -116MPa
Stresses reduced
to safe level
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

14. Model for TQC-02 Splice Area with Iron Yoke
24mm
-136mm
Mp=0.075mm
Rsh=0.075mm
St=0
Sk=0.3mm
-55mm
-256mm
17mm
-224mm
DRcoil
Coil saz:
300K-132MPa
1.9K -133MPa
Stresses at safe level
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC

15. TQC-02 Summary saz at splice area is 133MPa/1.9K
TQC Baseline
TQC-02 (LJ)
300K
1.9K
14kA
Pressure at Inner pole, MPa
-100
-95
+/-9
-20/-1
Pressure at Outer pole, MPa
-58
-42 -8
-75
-60
-20/-39
Max azim. stress, MPa
162
144
146
169
168
173
Coil dR at pole up, mm 67
-109
-129 42
-124
-145
Coil dR at midplane, mm
-64
-260
-228
-266
-236
Coil dR at pole near yoke split, mm 44
-178
-191 29
-249
-233
Increase contact area of yoke upon collars :
Reduced coil bending
Increase coil prestress for second layer
Increased skin stress by ~15MPa
Full length iron yoke:
Coil seqv near splice area is 125MPa/300K and
saz at splice area is 133MPa/1.9K
LARP TQ Review
Nov 29 – Dec 1, 2006
Supporting FEA for TQC