"Static" steering correction on the DB Quadrupoles

Alexey Vorozhtsov14 Dec 2010

Alexey Vorozhtsov 2

DB QUAD parameters CLIC DB Quadrupole Parameters Units

MAGNET Magnet size H×S×L [mm×mm×mm] 390×390×286Magnet mass [kg] 149.2Full aperture [mm] 26

Good field region(GFR) diameter [mm] 11×2=22

YOKEYoke size H×S×L [mm×mm×mm] 390×390×180Yoke mass [kg] 29.4×4=117.6

COIL

Hollow Conductor size [mm] 6×6, Ø=3.5

Number of turns per coil 52

Total conductor mass [kg] 31.6

Operation mode10% of nominal Nominal 120% of nominal

Effective length [mm] 194.7 194 192.5Gradient at Z=0 [T/m] 6.26 62.78 75.85

Integrated gradient ∫Gdl [T] 1.218 12.18 14.6

Integrated gradient quality in GFR % 0.04 0.01 0.02

Electrical parameters

Ampere turns per pole [A] 432 4840 9100

Current [A] 8.3 93 175Current density [A/mm2] 0.3 3.6 6.8Total resistance [mOhm] 99 99 99Total inductance [mH] 40 40 40Voltage [V] 0.82 9.2 17.3Power [kW] 0.007 0.86 3.03

COOLINGAir (natural convection) Water Water

Cooling circuits per magnet 4 4

coolant velocity [m/s] 1.1 1.9

cooling flow per circuit [l/min] 0.6 1.1

Pressure drop [bar] 2.2 5.7Reynolds number 4122 8210Temperature rise [K] 5 10

IWLC10, WG6, 10/20/2010

Steerer for DBQParameters for CLIC DB Steerer

Parameter UnitIntegrated field ∫Bdz 12 [mTm]Magnetic length 195 [mm]Field at center B(0) 0.062 [T]Ampere-turns per pole 600 [A]Number of turns per coil 6Current 100 [A]

Steerer coil

Quadrupole coil

Opera 2D 180deg modelQuadrupole only, IW=4900[A], -for nominal ∫Gdz=12.18[T]

Opera 2D 180deg modelCorrector only, IW=600[A], B1=0.062[T], ∫Bdz=12[mTm]

11 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 110.04

0.05

0.06

0.07

0.08

0.09

0.1

0.11

Corrector ONLY 600[A]

Corrector field in the Horizontal plane

X [mm]

By[

T]

• Field error =50% at GFR=11[mm]

• Sextupole component B3 w.r.t. B1(main): B3/B1=50%

Opera 2D 180deg modelQuadrupole +Corrector, IwCorr=600[A], IwQuad=4900[A]

• Non symmetrical field distribution due to the iron saturation.

• Dipole field decreased from 0.062T to 0.045[T] (Iron saturation)

• Full spectrum of “forbidden” harmonics in quadrupole : B3,B5…

11 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 110.04

0.05

0.06

0.07

0.08

0.09

0.1

0.11

Corrector ONLY 600[A]Corrector field 600[A] with QUAD on 4900[A]

Corrector field in the Horizontal plane

X [mm]

By[

T]

Non symmetrical field distribution(Iron saturation)

Non symmetrical field distribution(Iron saturation)

Opera 2D 180deg model Quadrupole +Corrector, IwCorr=60[A], IwQuad=430[A] (10% of nominal)

11 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 114 10

3

5 103

6 103

7 103

8 103

9 103

0.01

0.011

Corrector ONLY 60[A]Corrector field 60[A] with QUAD on 430[A]

Corrector field in the Horizontal plane

X [mm]

By[

T]