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2D Axisymmetric Modelling of PM and Coil Interaction: Force Dynamics and Limitations

This paper presents a 2D axisymmetric model designed for rapid simulation of permanent magnet (PM) and coil interactions, significantly reducing computation time from hours (3D models) to seconds. It highlights limitations, including the representation of PMs as rings instead of wedges and the inability to offset 3D models. Key findings show that force varies with PM and coil sizes, with maximum force of 52.0N recorded at specific distances from the PM. The introduction of a steel bobbin reduces the force by approximately 33%, underscoring material effects on electromagnetic performance.

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2D Axisymmetric Modelling of PM and Coil Interaction: Force Dynamics and Limitations

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  1. MICE Target Modelling Ben Shepherd February 2011

  2. 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

  3. 3D and 2D models

  4. 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

  5. Effect of increasing PM size PM outer radius: 7.5mm PM outer radius: 8.6mm

  6. 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

  7. Effect of increasing coil size Coil outer radius: 15mm Coil outer radius: 25mm

  8. Coil size variation results We see a ‘saturation’ effect at large radii Force is increased by 18% at r = 25mm (relative to 15mm)

  9. 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)

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