joint institute for nuclear research further optimization of the solenoid design a.efremov,...
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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
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
3
Solenoid cross-section
Side view
4
Solenoid cross-section
Top view
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
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.
7
Magnetic flux density distribution
8
Field homogeneity
%100),(
0
0
B
BzrB B0 = 2T
|δ| < 1.78%
9
Radial component integral
0
400
0 ),(/),(),(Z
Zrup dzzRBzRBZRI
|Iup| < 1.72 mm
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
11
Barrel part of the solenoid
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
13
Impact of the cable passages across the barrel part of
solenoid
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
15
Solenoid front view
16
Solenoid cross-section
17
Stress-strain analysisdownstream door, inner (first) plate
Fixation scheme Axial displacement [m]
ΔZ < 0.05 mm
18
0
1
Stress-strain analysisdownstream door (second plate)
Axial displacement [m]
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
20
Stress-strain analysisdownstream door (second plate)
Equivalent stress
(Von Mises)
σ < 25 MPa
Allowable value:
[σ] = 140 MPa
3 welded spacers
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
22
1
0
Stress-strain analysisupstream door
Maximal axial displacement
ΔZ < 0.5 mm
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
24
Solenoid coil
Al cylinder
subcoil 1 subcoil 2 subcoil 3
subcoil solid Al Al with slits
(for shear stress reduction)
25 mm
25
Solenoid coil
Shear stress at the subcoil end face < 5 MPa
1
0
subcoil
solid Al
26
Solenoid general view
27
Solenoid general view
28
Solenoid general view
29
Solenoid details
30
Solenoid details
31
Solenoid details
32
33
Yoke beam construction(old dimensions)
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
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
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