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Beam optics requirements for quadrupoles and correctors

Beam optics requirements for quadrupoles and correctors. Alignment tolerances Transfer function issues Other issues Correctors Summary Acknowledgements: O. Brüning, S. Fartoukh, J.-B. Jeanneret, J.-P. Koutchouk, A.-M. Lombardi. Alignment tolerances: MQs - I. Transverse displacement:

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Beam optics requirements for quadrupoles and correctors

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  1. Beam optics requirements for quadrupoles and correctors Alignment tolerances Transfer function issues Other issues Correctors Summary Acknowledgements: O. Brüning, S. Fartoukh, J.-B. Jeanneret, J.-P. Koutchouk, A.-M. Lombardi M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  2. Alignment tolerances: MQs - I • Transverse displacement: • Impact on available aperture • Impact on rms closed orbit • Impact on closed orbit corrector strength • Tolerances take into account • random b1 in main dipoles • MQ misalignment • Beam Position Monitor (BPM) misalignment M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  3. Alignment tolerances: MQs - II S. Fartoukh LHC Project Note 260 • Roll angle: • Impact on coupling • Values of tolerances Alignment Mini-Workshop (Dec. 2000), LHC Project Note 297, LHC Project Report 397 M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  4. Alignment tolerances: DS and MS quads - I • Similar arguments hold as for MQs, but • Aperture is tighter (higher values of beta-function) The situation can be improved by reducing b*, but there are still limits in Q10/Q11 S. Fartoukh 23 LTC Meeting “New optics solutions in IR1 and IR5” (31 March 2004) M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  5. Alignment tolerances: DS and MS quads - II IR2 – Beam2 IR8 – Beam1 O. Brüning 23 LTC Meeting “New optics solutions in IR2 and IR8” (31 March 2004) M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  6. Alignment tolerances: DS and MS quads- III Values of tolerances (assuming realignment after one year) A. Verdier, presentation at the MEB meeting Measurements of geometric/magnetic axes are required M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  7. Transfer function issues - I • Gradient errors generate: • Tune variation • Beta-beating • Spurious dispersion • Tune correction is performed by means of: • Independent small tune correction (trim quadrupoles between Q14 and Q21). • Independent large tune correction. These can be performed by using • MQTL quads: located in Dispersion Suppressors (DS). However, they induce strong beta-beating if used for generating DQ>0.1 • Retuning insertions • All this requires, either • Good knowledge of the transfer function, or • Beam based approach M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  8. Transfer function issues - II • Beta-beating (random b2): • Peak value is limited to 21% (injection) • Off-momentum beta-beating is estimated to 7% (injection) • Budget for peak beta-beating is: 14%. • Such a budget is already taken by: MBs, MQs, feed-down from nonlinear correctors. • It is found that Db/b = Cost * (random b2) • With MQs: 392 magnets MQM(C,L)s: 86 magnets MQY: 24 magnets These large values can be attained assuming quads are stronger than nominal optics (flexibility is mandatory) M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  9. Transfer function issues - III • Adding (quadratically) the contribution of DS and MS quadrupoles (assuming 10 units rms of b2) gives Db/b 14.9 % or 15.9% • The allocated budget is exceeded (small amount)! • Spurious normalised dispersion: Dx/ √b = Cost * (random b2) Tolerance at injection is set to Dx/ √b< 1.3 10-2 m1/2 b2 random of 10 units (rms) is well within budget M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  10. Other issues: squeeze - I During the squeeze, gradients of DS and MS quadrupoles will change. This requires a very good knowledge of time-dependent effects, hysteresis etc. S. Fartoukh 23 LTC Meeting “New optics solutions in IR1 and IR5” (31 March 2004) M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  11. Other issues: squeeze - II O. Brüning 23 LTC Meeting “New optics solutions in IR2 and IR8” (31 March 2004) • In general: • Q4, Q5, Q6 decrease during beta-squeeze (IR1, IR5, IR8) • QTL11, QT12, QT13 deserve special care (IR1, IR5) Measurements of time-dependent effects, hysteresis are required M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  12. Other issues: DA - I • Impact on DA of field quality of DS and MS is by far non-negligible. • Presented at FQWG (09/12/03, 21/09/04). • Initial assumption of MQ-like field quality for DS and MS quads produced a dramatic loss of DA. M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  13. Other issues: DA - II • Measured field errors for DS and MS quads improved DA. • Impact of MQMs on DA is marginal (unless at 45º). • Impact of MQYs is clearly visible, but less pronounced than before. Measurements of field quality are required M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  14. Correctors - I • Can be powered to any value => control of hysteresis • Are adjusted during setting up and commissioning => knowledge of the transfer function • Compensate for errors => field quality such that there is no effect on the DA • Nested correctors => knowledge of cross-talk • The measurement accuracy of the observable to be corrected sets the targets. M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  15. Correctors - II • Requirements were discussed at • FQWG meetings • S. Fartoukh (March 2004) • M. Giovannozzi (November 2004) • A. Lombardi (March and November 2004) • MAC meeting • A. Lombardi (July 2004) • Status of measurements in Block 4 were also reviewed at FQWG (V. Venturini Delsolaro, November 2004): • For some magnet classes the warm/cold correlations are not considered good enough, essentially because of poor statistics. • Conclusions on the strategy of magnetic measurements for corrector will be drawn in few months by FQWG. M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  16. MQs • Strategy discussed at Arc SSS Review (19 May 2004) should be pursued. • DS and MS quads • Aperture is rather critical at injection (DS quadrupoles): accurate axis (magnetic/geometric) measurements important. • Transfer function is crucial (beta-beating, IR tuning). The required accuracy is about 10 units. • Detailedmagnetic measurements (time-dependent effects, hysteresis) should be foreseen for quadrupoles with critical behaviour during squeeze. • Field quality is also crucial and should be measured. Conclusions - I M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

  17. Conclusions - II • Correctors • Targets values for the field quality (in a broad sense, including also alignment and transfer function) of correctors were presented and discussed at many FQWG meetings. This activity should be completed. • The poor statistics of magnetic measurements for some magnet classes makes the warm/cold correlations not good enough. • It is recommended to continue the spot checks of the series correctors in Block 4 (baseline). M. Giovannozzi – Review of the Tests of Superconducting Magnets in SM18

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