UPDATE OF THE SPS KICKERS B. Salvant And E. Métral
UPDATE OF THE SPS KICKERSB. Salvant and E. MétralAPC action (10/11/06): “The Committee but it stressed the importanceof evaluating the effect of the resonance peaks observed at low frequencyon the longitudinal and transverse stability of the 25 ns and 75 ns LHCbeams before going any further in the programme of modification of theextraction kickers” Longitudinal impedance of all the SPS kickers Vertical impedance of all the SPS kickers Analysis of the effect of metallic stripes on the MKE-L10 Appendix1: Vertical impedance î Tsutsui vs. Zotter Appendix2: Vertical impedance of each kicker in 2006Elias Métral, APC meeting, 27/04/071/22
@@@@@@@@@@@@* TABLE OF THE KICKERS’ APERTURES IN 2006 AFTERCROSS-CHECK WITH E. GAXIOLA (G. Arduini, 01/06/06)PARTICLE%06sPROTONPC%le26KICKERS IN 0849220.4393259660.319623397MAD-X 3.01.01 Win3213/04/0618.40.17s [m]LENGTH .12182.014Length of theferrite 20%smallerBETX 45473.4188603765.07292927DX 148157569-0.161396499-0.174635428-0.187874358BETY [m] FULLAPERX [mm] FULLAPERY 7.73531.952164551353236.8648953913532** inner dimensions of the ceramic insertElias Métral, APC meeting, 27/04/072/22
KICKERS IN 2007 Discussion with L. Ducimetiere (26/04/07) The spare kicker MKE-L10 (all ferrite cells equipped withserigraphed interleaved metallic stripes) has been put in 61631(replacing the MKE-L8 which has been removed) The MKE-S3 in 61637 has been removed and replaced by theMKE-S6 in 61651 (with impedance reduction on 2 cells only)î Conclusion: Only 8 MKE kickers in the SPS in 2007 (9 in 2006)- 6 not shielded (8 in 2006)- 1 fully shielded (not present in 2006)- 1 shielded on 2 cells only (present in 2006)Elias Métral, APC meeting, 27/04/073/22
MKE AND MKP KICKERSExample of cross sections of the SPS MKE and MKP kicker magnets(F. Caspers, Chamonix X)î From the impedance point ofview, a SPS kicker can beapproximated by the followingsketchElias Métral, APC meeting, 27/04/07dbaBeamVacuumFerritePerfectconductor4/22
LONGITUDINAL IMPEDANCE (1/4) Comparison between longitudinal measurements in 2000 and in 2006TsutsuiF. Caspers et al., CERNSL-2000-071 (AP)Zl @WDMeasurements onSPS MKE Kickeron 10/20002006 measurements40003000200010000.20.40.60.81f @GHzDMeasurements onSPS MKE Kickeron 10/2000TsutsuiElias Métral, APC meeting, 27/04/075/22
LONGITUDINAL IMPEDANCE (2/4)H. Tsutsui, CERN-SL-2000-004 (AP)Re [Z// /L]Re [Z// /L]Im [Z// /L]Im [Z// /L]î a (with the perfect conductor) is very important as found by Tsutsui,F. Caspers and Tsutsui’s formula should be usedElias Métral, APC meeting, 27/04/076/22
LONGITUDINAL IMPEDANCE (3/4)Confirmed bythe new formulafrom Benoit (roundgeometry)Should be close tothe round case!Round chamberRe [Z// /L]Re [Z// /L]Im [Z// /L]Im [Z// /L]Elias Métral, APC meeting, 27/04/077/22
LONGITUDINAL IMPEDANCE (4/4) Real part for each kicker Im. part for each kickerî 5 - 6 Ω at“low frequency”Elias Métral, APC meeting, 27/04/078/22
TRANSVERSE IMPEDANCE (1/3) Comparison between measurements and theoryZy @MW ê mD0.8Meas. byF. Caspers, T. Kroyer& E. Gaxiola1 MKE kickerZotterBurov-Lebedev2-wire2-wire ê shieldedRes. loop HReL ê shielded0.6Im0.40.2Re0.5- 0.211.522.533.54f @GHzDTheory plotted beforethe measurements!Elias Métral, APC meeting, 27/04/079/22
TRANSVERSE IMPEDANCE (2/3) Plot of the vertical impedance for all the 20 SPS kickers in 2006(taking into account the flat chamber betatron function at the kicker)Zotter’s formalismZ y @MW ê mD8Real part6Im. part420.511.522.533.54f @GHz D-2Elias Métral, APC meeting, 27/04/0710/22
TRANSVERSE IMPEDANCE (3/3)Zoom between 0 and 500 MHzî 7 MΩ / mat “low frequency”Z y @MW ê mD8î 7 (3 / 2) 10.5 MΩ / m should bemeasured (from kickers)when measuring the verticalcoherent tune vs. intensity(dipolar quadrupolar)6Real part4Im. part20.10.20.30.40.5f @GHz D-2Elias Métral, APC meeting, 27/04/07H. Burkhardtmeasured 24 MΩ / mfor the whole SPSmachine (APC10/11/06)11/22
METALLIC STRIPES ON MKE-L10Courtesy of E. Gaxiola (APC, 10/11/2006)Elias Métral, APC meeting, 27/04/0712/22
LONGITUDINAL IMPEDANCE OF MKE-L10Courtesy of T. Kroyer (APC, 10/11/2006)î Significant reduction of the (real part here of the) longitudinalimpedance (and associated power loss)Elias Métral, APC meeting, 27/04/0713/22
TRANSVERSE IMPEDANCE OF MKE-L10 (1/7)Zoom between 0 and 500 MHz(of the picture in page 9)Zy @ MW ê wire ê shieldedRes. loop HReL ê shieldedRe- 0.250.10.20.30.40.5f @GHzD- 0.5Elias Métral, APC meeting, 27/04/0714/22
TRANSVERSE IMPEDANCE OF MKE-L10 (2/7)Zoom between 0 and 200 MHzZy @ MW ê wire ê shieldedRes. loop HReL ê shieldedRe- 0.250.050.10.150.2f @GHzD- 0.5Elias Métral, APC meeting, 27/04/0715/22
TRANSVERSE IMPEDANCE OF MKE-L10 (3/7)“Fit” of the most critical resonance by a resonatorResonator 2: Ry 0.85MΩ/m, fr 90 MHz, Q 10î Worst case110.750.750.50.5Re H Z y L @MW êmDRe H Z y L @MW êmDResonator 1: Ry 0.85MΩ/m, fr 90 MHz, Q 40.250- 0.25- 0.5- 0.750.250- 0.25- 0.5- 0.75255075100 125f @MHz D150Elias Métral, APC meeting, 27/04/07175200255075100 125f @MHz D15016/22175200
TRANSVERSE IMPEDANCE OF MKE-L10 (4/7)Resonator wake-field and coupled-bunch instability rise-times for 1batch of 72 bunches (1.15 1011p/b) at 26 GeV/c spaced by 25 ns0.1Resonator 1Resonator 2W yR @V ê HpC mm LDW yR @V ê HpC mm LD0.10.050- 0.050.050- 0.05- 0.1- 0.11234z @m D567î Rise-time Infinity!Bunch spacing 25 ns 7.5 m1234z @m D56î Rise-time 11233 turns(260 ms)N.B.: The effect of the b-function is neglected here, but the bs aresmaller than the average one of 42 m (î conservative approach)Elias Métral, APC meeting, 27/04/0717/227
TRANSVERSE IMPEDANCE OF MKE-L10 (5/7)For 9 shielded MKE kickers (and worst case)0.4W yR @V ê HpC mm LDW yR @V ê HpC mm LD0.40.20- 0.2- 0.40.20- 0.2- 0.41234z @m D567î Rise-time 1173 turns(27 ms)Bunch spacing 25 ns 7.5 mElias Métral, APC meeting, 27/04/07510z @m D1520î Rise-time Infinity!Bunch spacing 75 ns 22.5 m18/22
TRANSVERSE IMPEDANCE OF MKE-L10 (6/7)î The SPS RW coupled-bunch instability rise-time at 26 GeV/c is 190 turns, i.e. much smaller than what computed previously îShould be OK!Elias Métral, APC meeting, 27/04/0719/22
TRANSVERSE IMPEDANCE OF MKE-L10 (7/7)Example of the wake-field induced by the classical Broad-Bandimpedance in the SPS: Ry 10 MΩ/m, fr 1.3 GHz, Q 150W yR @V ê HpC mmLD4030201000.20.4z @mD0.60.81Only 1 m!Elias Métral, APC meeting, 27/04/0720/22
CONCLUSION (1/2) The longitudinal impedance of the SPS kickers seems welldescribed using Tsutsui’s formula (considering both ferrite plateson top&bottom metallic plates on both sides) The vertical impedance of the SPS kickers seems well describedusing Zotter’s formalism (considering only the ferrite plates ontop&bottom) The serigraphed interleaved metallic stripes reduce considerablythe longitudinal impedance (and associated power loss) andslightly the vertical one, introducing some resonances at lowfrequency, which seem not too harmful î Could be extended tothe other kickers!Elias Métral, APC meeting, 27/04/0721/22
CONCLUSION (2/2) The low-frequency imaginary longitudinal impedance Zl / n of allthe 20 kickers in 2006 is 5 -6 Ω The low-frequency imaginary vertical (dipolar) impedance of allthe 20 kickers (taking into account the flat chamber betatronfunction at the kickers) is 7 MΩ / mElias Métral, APC meeting, 27/04/0722/22
Appendix1: Vertical impedance î Tsutsui vs. Zotter (1/4)Zotter’s formalisma 67 mm1 MKE KICKERElias Métral, APC meeting, 27/04/0723/22
Appendix1: Vertical impedance î Tsutsui vs. Zotter (2/4)Zotter’sformalism with perfectconductor outside(as Tsutsui)Elias Métral, APC meeting, 27/04/0724/22
Appendix1: Vertical impedance î Tsutsui vs. Zotter (3/4)Scan in half gap a using Tsutsui’s formulaa 10 mma 16 mma 20 mma 40 mmElias Métral, APC meeting, 27/04/0725/22
Appendix1: Vertical impedance î Tsutsui vs. Zotter (4/4)a 68 mma 500 mmElias Métral, APC meeting, 27/04/07a 100 mma 1000 mm26/22
Appendix2: Vertical impedance of each kicker in 2006 (1/5)(taking into account the flat chamber betatron function at the kicker)Zy @MW ê mD1MKQH.11653Zy @MW ê mD10.80.80.60.60.40.40.20.20.511.522.533.54f @GHz D- 0.20.5MKQV.1167911.522.533.54f @GHz D- 0.2Zy @MW ê mD1MKDV.11731Zy @MW ê mD10.80.80.60.60.40.40.20.20.511.522.533.5- 0.24f @GHz D0.5MKDV.1173611.522.533.54f @GHz D- 0.2Elias Métral, APC meeting, 27/04/0727/22
Appendix2: Vertical impedance of each kicker in 2006 (2/5)Zy @MW ê mD1MKDH.11751Zy @MW ê mD10.80.80.60.60.40.40.20.20.511.522.533.54f @GHz D- 0.20.5MKDH.1175411.522.533.54f @GHz D- 0.2Zy @MW ê mD1MKDH.11757Zy @MW ê mD10.80.80.60.60.40.40.20.20.511.522.533.5- 0.24f @GHz D0.5MKPA.1193111.522.533.54f @GHz D- 0.2Elias Métral, APC meeting, 27/04/0728/22
Appendix2: Vertical impedance of each kicker in 2006 (3/5)Zy @MW ê mD1MKPA.11936Zy @MW ê mD10.80.80.60.60.40.40.20.20.511.522.533.54f @GHz D- 0.20.5MKPC.1195211.522.533.54f @GHz D- 0.2Zy @MW ê mD1MKP.11955Zy @MW ê mD10.80.80.60.60.40.40.20.20.511.522.533.5- 0.24f @GHz D0.5MKE.4163111.522.533.54f @GHz D- 0.2Elias Métral, APC meeting, 27/04/0729/22
Appendix2: Vertical impedance of each kicker in 2006 (4/5)Zy @MW ê mD1MKE.41634Zy @MW ê mD10.80.80.60.60.40.40.20.20.511.522.533.54f @GHz D- 0.20.5MKE.4163711.522.533.54f @GHz D- 0.2Zy @MW ê mD1MKE.41651Zy @MW ê mD10.80.80.60.60.40.40.20.20.511.522.533.5- 0.24f @GHz D0.5MKE.4165411.522.533.54f @GHz D- 0.2Elias Métral, APC meeting, 27/04/0730/22
Appendix2: Vertical impedance of each kicker in 2006 (5/5)Zy @MW ê mD1MKE.61631Zy @MW ê mD10.80.80.60.60.40.40.20.20.511.522.533.54f @GHz D- 0.20.5MKE.6163411.522.533.54f @GHz D- 0.2Zy @MW ê mD1MKE.61637Zy @MW ê mD10.80.80.60.60.40.40.20.20.511.522.533.5- 0.24f @GHz D0.5MKE.6165111.522.533.54f @GHz D- 0.2Elias Métral, APC meeting, 27/04/0731/22
SPS MKE Kicker on 10/2000 Measurements on SPS MKE Kicker on 10/2000 F. Caspers et al., CERN-SL-2000-071 (AP) 0.2 0.4 0.6 0.8 1 f @GHzD 1000 2000 3000 4000 Z l @WD Tsutsui Tsutsui 2006 measurements Comparison between longitudinal measurements in 2000 and in 2006 LONGITUDINAL IMPEDANCE (1/4)
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