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This study presents the calculation of axial magnetic forces in MICE using the OPERA package for different magnetic configurations, focusing on the final stage and earlier configurations of MICE. The model in OPERA includes 18 coils without iron shielding. The analysis covers various forces in the magnetic system for different scenarios such as nominal and maximum p, 450mm and 600mm gaps, and non-flip and solenoidal modes. The research evaluates forces in different stages of MICE, highlighting unique characteristics for each stage and configuration. The study concludes with recommendations for further research and force calculations to optimize MICE performance.
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Identification of Worst-Case Forces Elwyn Baynham and Yury Ivanyushenkov Applied Science Division, Engineering and Instrumentation Department, RAL MICE Collaboration Meeting, Osaka, August 1-3, 2004
Aims of work • Calculation of axial magnetic forces in MICE by using OPERA package for various magnetic configurations: • MICE final stage: • - nominal and max p; • - gap of 450mm and 600 mm, • - non-flip and solenoidal modes; • earlier stages of MICE.
Model in OPERA • Model: • 18 coils; • no iron shielding
By A.Blondel STEP I: STEP II STEP III STEP IV STEP V STEP VII MICE stages
MICE magnetic system (SFOFO, 200 MeV/c, beta=42 cm, gap =600 mm) 250 620 Gap=600 120 1260 200 60 202 202 841 725 404 255 305 305 355 347 263 255 1260 792 1385 1375 1250 2440 3660 4541 4721 End #1 coils: J=65.22 A/mm2 6041 End #2 coils: J=67.11 A/mm2 6161 Centre coils: J=64.44 A/mm2 Matching #1 coils: J=65.06 A/mm2 Note: Geometry and currents from Wing and Ulisse Matching #2 coils: J=41.46 A/mm2 Focusing coils: J=113.95 A/mm2 Coupling coils: J=96.21 A/mm2
Forces in MICE magnetic system (SFOFO, p=200 MeV/c, beta=42 cm, gap =600 mm) All forces are in tonnes ! 2.4 6.6 220 15.4 236 15.4 147 220 6.6 2.4 147 103.5 22 225 236 225 22 103.5 5 12.5 15.4 End #1 coils: J=65.22 A/mm2 End #2 coils: J=67.11 A/mm2 Centre coils: J=64.44 A/mm2 Matching #1 coils: J=65.06 A/mm2 Matching #2 coils: J=41.46 A/mm2 Focusing coils: J=113.95 A/mm2 Coupling coils: J=96.21 A/mm2
Forces in MICE magnetic system (SFOFO, p=200 MeV/c, beta=42 cm, gap =450 mm) All forces are in tonnes ! 4.1 13.9 235 14 236 14 147 235 13.9 4.1 147 83.9 20.8 228 236 228 20.8 83.9 7 24.3 14 End #1 coils: J=61.59 A/mm2 End #2 coils: J=67.11 A/mm2 Centre coils: J=64.44 A/mm2 Matching #1 coils: J=56.30 A/mm2 Matching #2 coils: J=75.17 A/mm2 Focusing coils: J=113.95 A/mm2 Coupling coils: J=96.21 A/mm2
Forces Vs. Gap for p=200 Mev/c (SFOFO, p=200 MeV/c, beta=42 cm, gap =600 mm) 236 15.4 220 6.6 2.4 147 225 22 103.5 5 12.5 15.4 (SFOFO, p=200 MeV/c, beta=42 cm, gap =450 mm) 236 14 235 13.9 4.1 147 228 20.8 83.9 7 24.3 14
Forces in MICE magnetic system (SFOFO, p=240 MeV/c, beta=42 cm, gap =600 mm) All forces are in tonnes ! 1.4 2.9 316 23 340 23 147 316 2.9 1.4 147 101 24.4 324 340 324 24.4 101 8 17.3 23 End #1 coils: J=65.22 A/mm2 End #2 coils: J=67.11 A/mm2 Centre coils: J=64.44 A/mm2 Matching #1 coils: J=78.12 A/mm2 Matching #2 coils: J=42.65 A/mm2 Focusing coils: J=136.74A/mm2 Coupling coils: J=115.45 A/mm2
Forces in MICE magnetic system (SFOFO, p=240 MeV/c, beta=42 cm, gap =450 mm) All forces are in tonnes ! 147 2.4 9 336.6 21.5 340 21.5 366.6 9 2.4 147 79 23.3 328 340 328 23.3 79 38.6 33.3 21.5 End #1 coils: J=61.59 A/mm2 End #2 coils: J=67.11 A/mm2 Centre coils: J=64.44 A/mm2 Matching #1 coils: J=66.82 A/mm2 Matching #2 coils: J=83.07 A/mm2 Focusing coils: J=136.74 A/mm2 Coupling coils: J=115.45 A/mm2
Forces Vs. Gap for p=240 Mev/c (SFOFO, p=240 MeV/c, beta=42 cm, gap =600 mm) 340 23 316 2.9 1.4 147 324 24.4 101 8 17.3 23 (SFOFO, p=240 MeV/c, beta=42 cm, gap =450 mm) 340 21.5 366.6 9 2.4 147 328 23.3 79 38.6 33.3 21.5
Forces Vs.p for gap =450 mm (SFOFO, p=200 MeV/c, beta=42 cm, gap =450 mm) 236 15.4 220 6.6 2.4 147 225 22 103.5 5 12.5 15.4 (SFOFO, p=240 MeV/c, beta=42 cm, gap =450 mm) 340 21.5 366.6 9 2.4 147 328 23.3 79 38.6 33.3 21.5
Forces in MICE magnetic system (NO-FLIP, p=200 MeV/c, beta=42 cm, gap =600 mm) All forces are in tonnes ! 146 2.2 3.6 59.5 46.7 97 46.7 59.5 3.6 2.2 146 100.8 14 46 97 46 14 100.8 13.5 39.4 46.7 End #1 coils: J=64.01 A/mm2 End #2 coils: J=67.11 A/mm2 Centre coils: J=63.81 A/mm2 Matching #1 coils: J=68.33 A/mm2 Matching #2 coils: J=34.99 A/mm2 Focusing coils: J=68.03 A/mm2 Coupling coils: J=93.10 A/mm2
Forces in MICE magnetic system (‘Solenoidal’, p=200 MeV/c, beta=42 cm, gap =600 mm) All forces are in tonnes ! 146 1.8 3.6 60.3 15.7 51.5 15.7 60.3 3.6 1.8 146 100.6 13.7 45 51.5 45 13.7 100.6 15.3 26.3 15.7 End #1 coils: J=64.01 A/mm2 End #2 coils: J=67.11 A/mm2 Centre coils: J=63.81 A/mm2 Matching #1 coils: J=68.33 A/mm2 Matching #2 coils: J=34.99 A/mm2 Focusing coils: J=68.03 A/mm2 Coupling coils: J=93.10 A/mm2
Conclusions and next steps • Conclusions: • so far the highest net forces on modules are created in NON-FLIP mode (but the highest net force on the edge focus pair is in case of p=240 MeV/c and gap of 450 mm) • -> there is no a single worst mode for all the modules; • both the edge focus pair and the tracker solenoid (but not the coupling coil) are sensitive to the value of the gap; • forces are much higher for 240 MeV/c. • Next steps: • better definition of non-SFOFO modes – Non-flip, solenoidal; • definitions of magnetic configurations and force calculation for various MICE stages.