A Dipole with Grain Oriented Steel
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Transcript of A Dipole with Grain Oriented Steel
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11 December 2011
Holger WitteBrookhaven National Laboratory
Advanced Accelerator Group
A Dipole with Grain Oriented Steel
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21 December 2011
• Muon acceleration: use fast ramping dipoles + superconducting high field magnets– Rep. rate: 1 kHz (+/-)– B=-1.8 .. 1.8T– Uses grain oriented steel– D.Summers et al., arXiv:0707.0302
Problem Definition
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31 December 2011
Problem DefinitionPrototype Dipole does not perform as expected1.5T instead of 1.8TModelling correct?
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41 December 2011
• Opera 3D– Magnetostatic simulation– Explain drop in field– (unsuitable for estimate on power loss)
• Simulation based on modelling approach developed by VF– Idea: break up internal iteration loop– Linear elements, exploit symmetry
• Included– Anisotropic steel– Packing factor 0.98
FEA Model
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51 December 2011
VF Model
Grain orientation300 mm
Gap: 1.5 mmt = 50 mm
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61 December 2011
Grain Oriented Steel
Data from AK Steel (TRAN-COR)
Factor 30+?
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71 December 2011
BH Data
Data from: D. Summers. Fast Ramping 750 GeV Muon Synchrotron, Muon Acceleration Program (MAP). 27 Jun - 1 Jul 2011. Telluride, Colorado.
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81 December 2011
μr: Polar Plot
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91 December 2011
μr for various anglesμ r
B (T)
Angle
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101 December 2011
• BH data implemented in VF simulation– For 0 and 90 degrees
(insufficient data points for other angles)– (functions based on tabular data with 2 or more variables possible)
• Simulations: two sheets (+ boundary conditions)– Magnet geometry as is– Magnet geometry with ‘mitre’
Simulation
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111 December 2011
Magnetization and Vector Plot
H is low (mostly < 100 A/m) – mu_r =80..14000
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121 December 2011
Field in Gap
1.483TRelatively uniform
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131 December 2011
Mitre Geometry
Same as before: H is relatively low(<100 A/m)
Mu_r=80..14000
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141 December 2011
Vector Plot
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151 December 2011
Field in Gap
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161 December 2011
Field in Gap (cont.)
B (T)
X (mm)
Mitre
Block
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171 December 2011
Flux Jump Between Slabs
81 Wb (mitre: 76 Wb)
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181 December 2011
Flux Between Slabs – Initial Geometry
37 Wb
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191 December 2011
Flux Between Slabs – Mitre
24 Wb
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201 December 2011
• Estimate power loss– Hysteresis loop
necessary– Can be
implemented in Opera/ELEKTRA
Future?
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211 December 2011
• Previous assumptions too pessimistic – steel is not as anisotropic as feared initially– Much better performance in general
• Simulations can explain why new magnet design (mitre) performs as expected– It does not explain why the old design did not work as
expected…• Next steps?
– More data points on BH curve needed (at more angles)
– Power dissipation: Full magnetization / demagnetization curve required (at different fields)
Summary