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As long as we don't go correcting for other effects with the b3 spool pieces the change during decay is approx. the SB amplitude
SB
delta b3 ~ 1.8 units gives around 2.7 deltaQ'/second - whichh if we mop up 80% with the model leaves 0.55 units/s
1.7 units gives +71 Q'H and - 64 Q'V
Pre-series dipoles: decay ~+1.7 units +71/-64 Q'h/Q'v
Luca's offering 0.6 total with linear model 0.41 from power cycle variations - 24%
b3 and chromaticity
Use MCS - sextupole spool pieces correctors in MBA and MBB
Nominal field 0.471 T at 17 mm, magnetic length 0.11 m, I nominal = 550 A,
Inductance per magnet 0.8 mH, Inductance of 154 magnet circuit 132.2 mH
Maximum family size 154 magnets per string, in fact 154 magnets per arc per aperture
Nominal field .471 T at 17 mm, therefore nominal gradient 3259.5 T/m^2
Remember not designed to correct chromaticity, rather chromaticity split arising from b3 error. b3 of -3.3 gives -138 Q'H, +127Q'V)
Excel - courtesy Freddy Bordry
Sextupole spool pieces |
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RCS |
16 circuits |
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beam 1 and beam 2 ; one per arc => 16 circuits |
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Each circuit: 154 magnets in series |
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Converter |
� |
600 |
Imax (A) � |
10 |
Umax (Volt) |
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Lcircuit |
0.123 |
H |
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Rcircuit |
0.0083 |
Ohm |
Ucollision |
4.98 |
V |
Note : Rcircuit = 4.2 mOhm for 2 circuits in UA43 ; not a big change |
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Time_constant |
14.82 |
s |
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f open_loop_B |
0.0107 |
Hz |
10.7 |
mHz |
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Large signal |
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dI/dtmax |
41 |
A/s |
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Umax/Ucollision |
2.0 |
= f closed_loop_B/ f open_loop_B |
Sext |
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f closed_loop_B |
0.022 |
Hz |
21.6 |
mHz |
tr |
16 |
s |
|
Small signal |
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f closed_loop_B |
1 |
Hz |
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Uavailable/Ucollision |
93 |
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Uavailable |
5.02 |
V |
(= Ummax - Ucollision) |
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Ustat |
0.054 |
V |
54 |
mV |
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D I |
6.5 |
A |
1.1 |
% of Imax |