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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. Coil and yoke dimensions. Barrel part 1490 mm < r < 2300 mm 60 mm + 11×30 mm + 60 mm steel; 12 gaps of 30 mm

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further optimization of the solenoid design

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

coil and yoke dimensions
Coil and yoke dimensions
  • Barrel part
  • 1490 mm < r < 2300 mm
  • 60 mm + 11×30 mm + 60 mm steel; 12 gaps of 30 mm
  • Upstream door
  • Upper radius: -1970 mm < z < -1585 mm
  • Lower radius: -1970 mm < z < -1734 mm
  • Downstream door
  • 2465 mm < z < 2865 mm
  • 5×60 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
magnetic flux density distribution
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.

field homogeneity
Field homogeneity

B0 = 2T

|δ| < 1.78%

dependence of parameters on the coil position
Dependence of parameterson the coil position

Coil configuration is defined using our computer code

impact of the cable passages across the barrel part of solenoid
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:

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

impact of the cable passages across the barrel part of solenoid2
Impact of the cable passages across the barrel part of solenoid

The passages have small influence on the homogeneity and field integral in central region

stress strain analysis downstream door inner first plate
Stress-strain analysisdownstream door, inner (first) plate

ΔZ < 0.05 mm

Fixation scheme

Axial displacement [m]

stress strain analysis downstream door second plate2
Stress-strain analysisdownstream door (second plate)

Equivalent stress

(Von Mises)

σ < 25 MPa

3 welded spacers

Allowable value:

[σ] = 140 MPa

stress strain analysis upstream door
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

stress strain analysis upstream door1

0

1

Stress-strain analysisupstream door

Maximal axial displacement

ΔZ < 0.5 mm

beam deformation in the cross section
Beam deformationin thecross-section

With outer frames

gravity loadand Px  = 0.25 G, Py  = 0.18 G (seismic load)

Yoke barrelgravity load G = 2000 kN

Maximal value of the deformation:

uy = 1.5 mm, ux = ± 1 mm

Maximal value of the deformation:

uy = 1.6 mm, ux = 2 mm

Maximal stress σmax = 35 MPa

Maximal stress σmax = 50 MPa

solenoid coil

Al cylinder

subcoil 1

subcoil 2

subcoil 3

subcoil

25 mm

Al with slits

(for shear stress reduction)

solid Al

Solenoid coil
solenoid coil1
Solenoid coil

Shear stress at the subcoil end face < 5 MPa

1

subcoil

0

solid Al

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:

where safety coefficients (safety margins) for the coil are

and for the yoke are

Allowable bending stress in a structural part in the normal operation regime has to be chosen as follows:

Mechanical analysis
beam deformation in the cross section1
Beam deformationin thecross-section

Without outer frames

gravity loadand Px  = 0.25 G, Py  = 0.18 G (seismic load)

Yoke barrelgravity load G = 2000 kN

Maximal value of the deformation:

uy = 4.3 mm, ux = ± 2.5 mm

Maximal value of the deformation:

uy = 5.8 mm, ux = 9.6 mm

Maximal stress σmax = 115 MPa

Maximal stress σmax = 140 MPa