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Identification of Worst-Case Forces

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.

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Identification of Worst-Case Forces

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  1. 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

  2. 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.

  3. Model in OPERA • Model: • 18 coils; • no iron shielding

  4. By A.Blondel STEP I: STEP II STEP III STEP IV STEP V STEP VII MICE stages

  5. MICE stages (2)

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. Summary table for axial magnetic forces

  17. 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.

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