Keywords: Magnets (B0), Magnets (B0)
Motivation: Experimental characterization and understanding of the power deposition in the He bath of an ultra-high field magnet is important for magnet safety.
Goal(s): We report a quasi-analytical model for the Z gradient axis power deposition and compare it with measurements.
Approach: The model was based on three cylinders consisting of the He vessel, the cryoshield and the outer vacuum chamber. Coupled partial differential equations involving both electromagnetism and elasticity were derived and solved.
Results: Our model predicts accurately the positions of the cryogenic peaks but underestimates by about a factor of 2-3 the largest ones.
Impact: When the symmetry and underlying assumptions are met, the model allows determining the location of the resonance peaks and can alert the user of potential dangerous frequency zones where caution during first experiments should be exercised.
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