joint institute for nuclear research further optimization of the solenoid design a.efremov,...
TRANSCRIPT
![Page 1: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/1.jpg)
Joint Institute for Nuclear Research
Further optimization of the solenoid design
A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov
GSI, Darmstadt, 05.03.2008
![Page 2: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/2.jpg)
2
Coil and yoke dimensions
Barrel part1490 mm < r < 2300 mm60 mm + 11×30 mm + 60 mm steel; 12 gaps of 30 mm
Upstream doorUpper radius: -1970 mm < z < -1585 mmLower radius: -1970 mm < z < -1734 mm
Downstream door2465 mm < z < 2865 mm5×60 mm steel; 4 gaps of 25 mm
Cryostat-1190 mm < z < 1900 mm
Gaps between the coil and cryostat ends: 170 mm (upstream) and 155 mm (downstream)
In ZEUS: both gaps are 150 mm
![Page 3: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/3.jpg)
3
Solenoid cross-section
Side view
![Page 4: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/4.jpg)
4
Solenoid cross-section
Top view
![Page 5: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/5.jpg)
5
Coil parameters
Coil axial dimensions -1020 mm < z < 1745 mm
Cable cross-section (without insulation)
3.4 mm × 24.6 mm
Design current density 54 A/mm2
Subcoil turns in each of 2 layers 225, 116, 211
Operation current 5.1 kA
Axial magnetic force (coil rated position)
+99 kN
Field inhomogeneity (coil rated position)
ΔB/B < 1.8%
Radial component integral (coil rated position)
|Iup| < 1.72 mm
![Page 6: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/6.jpg)
6
Magnetic flux density distribution
The flux density in the upstream door is B < 1.7 T and the flux density near it in the downstream direction is B < 1 T.
![Page 7: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/7.jpg)
7
Magnetic flux density distribution
![Page 8: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/8.jpg)
8
Field homogeneity
%100),(
0
0
B
BzrB B0 = 2T
|δ| < 1.78%
![Page 9: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/9.jpg)
9
Radial component integral
0
400
0 ),(/),(),(Z
Zrup dzzRBzRBZRI
|Iup| < 1.72 mm
![Page 10: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/10.jpg)
10
Dependence of parameterson the coil position
dzBz
BrΔZ [mm] Fz [kN] ΔB/B [%] [mm]
0 +99 -1.78 ÷ 1.61 -1.72 ÷ 1.39
-10 +51 -1.96 ÷ 1.66 -1.52 ÷ 2.00
+10 +148 -1.60 ÷ 1.55 -1.98 ÷ 0.75
Coil configuration is defined using our computer code
![Page 11: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/11.jpg)
11
Barrel part of the solenoid
![Page 12: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/12.jpg)
12
Impact of the cable passages across the barrel part of
solenoid
800 x 60 mm2 at the octagon corners
both at the upstream and downstream barrel ends
Axisymmetric model: use of effective magnetic permeability
fill factor: 446.0total
steel
S
Sc
Stotal and Ssteel – cross-sections of barrel beam and its steel part
in the plane crossing the gaps perpendicular to Z
The calculations are not sensitive to the place of the gap on this plane
![Page 13: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/13.jpg)
13
Impact of the cable passages across the barrel part of
solenoid
![Page 14: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/14.jpg)
14
Impact of the cable passages across the barrel part of
solenoid
dzBz
BrGaps square Fz [kN] ΔB/B [%] [mm]
No gaps +99 -1.78 ÷ 1.61 -1.721 ÷ 1.390
Gaps +10% +99 -1.70 ÷ 1.71 -1.716 ÷ 1.412
Gaps +100 -1.69 ÷ 1.72 -1.718 ÷ 1.418
Gaps -10% +101 -1.68 ÷ 1.73 -1.720 ÷ 1.423
The passages have small influence on the homogeneity and field integral in central region
![Page 15: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/15.jpg)
15
Solenoid front view
![Page 16: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/16.jpg)
16
Solenoid cross-section
![Page 17: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/17.jpg)
17
Stress-strain analysisdownstream door, inner (first) plate
Fixation scheme Axial displacement [m]
ΔZ < 0.05 mm
![Page 18: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/18.jpg)
18
0
1
Stress-strain analysisdownstream door (second plate)
Axial displacement [m]
![Page 19: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/19.jpg)
19
Stress-strain analysisdownstream door (second plate)
Number of welded spacers
Maximal bending deflection [mm]
No spacers 8.1
1 spacer 1.1
3 spacers <0.2
Fixation scheme
![Page 20: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/20.jpg)
20
Stress-strain analysisdownstream door (second plate)
Equivalent stress
(Von Mises)
σ < 25 MPa
Allowable value:
[σ] = 140 MPa
3 welded spacers
![Page 21: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/21.jpg)
21
Stress-strain analysisupstream door
The door consists of 8
steel plates of 30 mm
thickness consolidated in
a package
Equivalent stress
(Von Mises)
σ < 3 MPa
![Page 22: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/22.jpg)
22
1
0
Stress-strain analysisupstream door
Maximal axial displacement
ΔZ < 0.5 mm
![Page 23: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/23.jpg)
23
Beam deformationin the cross-section
Yoke barrel gravity load G = 2000 kN
Maximal value of the deformation: uy = 1.5 mm, ux = ± 1 mm
gravity load and Px = 0.25 G, Py = 0.18 G (seismic load)
Maximal value of the deformation: uy = 1.6 mm, ux = 2 mm
Maximal stress σmax = 35 MPa Maximal stress σmax = 50 MPa
With outer frames
![Page 24: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/24.jpg)
24
Solenoid coil
Al cylinder
subcoil 1 subcoil 2 subcoil 3
subcoil solid Al Al with slits
(for shear stress reduction)
25 mm
![Page 25: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/25.jpg)
25
Solenoid coil
Shear stress at the subcoil end face < 5 MPa
1
0
subcoil
solid Al
![Page 26: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/26.jpg)
26
Solenoid general view
![Page 27: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/27.jpg)
27
Solenoid general view
![Page 28: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/28.jpg)
28
Solenoid general view
![Page 29: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/29.jpg)
29
Solenoid details
![Page 30: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/30.jpg)
30
Solenoid details
![Page 31: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/31.jpg)
31
Solenoid details
![Page 32: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/32.jpg)
32
![Page 33: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/33.jpg)
33
Yoke beam construction(old dimensions)
![Page 34: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/34.jpg)
34
Mechanical analysis
Design criteria for the solenoid structural parts produced from metal alloys are chosen in accordance with “Codes of design to calculate the strength of equipment and pipe-lines of nuclear power plants” PNAE-G-002-86 and “Codes of strength calculations for high pressure vessels” (GOST 1429-89).
Design criteria for the yoke and support frames include building norms and codes for steel constructions (Russian) and Eurocodes 3 .
Allowable membrane stress in a solenoid structural part in the normal operation regime has to be chosen as follows:
u
um nn
;min2.0
2.0
where safety coefficients (safety margins) for the coil are
;5.12.0 n 3un
and for the yoke are ;5.12.0 n 6.2un
Allowable bending stress in a structural part in the normal operation regime has to be chosen as follows:
mben 3.1
![Page 35: Joint Institute for Nuclear Research Further optimization of the solenoid design A.Efremov, E.Koshurnikov, Yu.Lobanov, A.Makarov, A.Vodopianov GSI, Darmstadt,](https://reader035.vdocuments.site/reader035/viewer/2022062516/56649e6c5503460f94b6b929/html5/thumbnails/35.jpg)
35
Beam deformationin the cross-section
Yoke barrel gravity load G = 2000 kN
Maximal value of the deformation: uy = 4.3 mm, ux = ± 2.5 mm
gravity load and Px = 0.25 G, Py = 0.18 G (seismic load)
Maximal value of the deformation: uy = 5.8 mm, ux = 9.6 mm
Maximal stress σmax = 115 MPa Maximal stress σmax = 140 MPa
Without outer frames