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MICE Target Modelling. Ben Shepherd February 2011. 2D Modelling. A 2d axisymmetric model takes seconds to run (compared to hours for a 3d model) Limitations: PMs modelled as rings (not 8 wedges) Can’t introduce an offset. 3D and 2D models. Results – 2D model.

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mice target modelling

MICE Target Modelling

Ben Shepherd

February 2011

2d modelling
2D Modelling
  • A 2d axisymmetric model takes seconds to run(compared to hours for a 3d model)
  • Limitations:
    • PMs modelled as rings (not 8 wedges)
    • Can’t introduce an offset
results 2d model
Results – 2D model

y is the distance between bottom edge of PM and bottom edge of coils

Force evaluated at r = 8mm, 0.5mm away from PM outer edge

Maximum force: 52.0N at y=9mm

effect of increasing pm size
Effect of increasing PM size

PM outer radius: 7.5mm

PM outer radius: 8.6mm

pm size variation results
PM size variation results

15mm diameter  16mm diameter: 22% increase (52.0N  63.5N)

PS claims a 6% increase in mass (here, page 14) but I’m not sure of the derivation

effect of increasing coil size
Effect of increasing coil size

Coil outer radius: 15mm

Coil outer radius: 25mm

coil size variation results
Coil size variation results

We see a ‘saturation’ effect at large radii

Force is increased by 18% at r = 25mm (relative to 15mm)

adding steel bobbin
Adding steel bobbin
  • Added steel cylinder (0.3mm thick) to inside of coils
  • Shunts some of the field produced by the coils
  • Reduces force by ~33%
  • (In reality, mild steel used with low µ - so would be OK)