mqw review and report 2009
DESCRIPTION
MQW review and report 2009. Per Hagen (TE/MSC ) 09.06.2009. Acknowledgements: X. Panagiota (2008 analysis), D. Cornuet + M. Buzio (measurements), G. de Rijk + E. Todesco (discussions ). Objectives. Write report about MQW FiDeL model Review analysis and results in 2008 - PowerPoint PPT PresentationTRANSCRIPT
Dr NoMQW review and report
2009
Per Hagen (TE/MSC)09.06.2009
Acknowledgements: X. Panagiota (2008 analysis), D. Cornuet + M. Buzio (measurements),
G. de Rijk + E. Todesco (discussions)
2
Objectives
• Write report about MQW FiDeL model • Review analysis and results in 2008• Add harmonics for field quality studies
3
Short about MQW design
• Normal conducting (cleaning sections IR3+IR7, radiation)• “Two in one design”, common iron yoke (field coupling!)• 46 mm aperture radius, magnet length = 3.108 m (as defined in MAD)• Two operational modes (F= focus, D=defocus)
• “A” = F/D or D/F design G=35 T/m for I=710A (max field ~1.5 T)• “B” = F/F or D/D design G=30 T/m for I=600A
• Both apertures powered in series• current inverted in ap for B mode
4
A
Q5.R3
A B A A
A
A
Q4.R3
A B A A A
A
Q4.L3
A
A
B
A
A
vA
Q5.L3
A A
B
A
A
IR3 MOMENTUM CLEANINGMQW optics layout IR3
• All “A” magnets in Q4.L3 + Q4.R3 connected in series• All “A” magnets in Q5.L3 + Q5.R3 connected in series• Each “B” magnet (2 aps) individually powered• π means magnet vertically rotated (shield power cables from radiation
coming from collimators)
5
A
Q5.R7
A B A A AA
Q4.R7
A B A A A
A
Q4.L7
A
A
B
A
A
vA
Q5.L7
A
A
B
A
A
IR7 BETATRON CLEANING
MQW optics layout IR7
• All “A” magnets in Q4.L3 + Q4.R3 connected in series• All “A” magnets in Q5.L3 + Q5.R3 connected in series• Each “B” magnet (2 aps) individually powered• π means magnet vertically rotated (shield power cables from radiation
coming from collimators)
6
G and I according to LHC V6.503 optics2009
MagnetTypes State E (GeV/c) Circuit G (T/m^n) I (A)
FiDeL
MQWA injection 450 RQ4.LR3 1.863 35.324
MQWA injection 450 RQ4.LR7 1.972 37.445
MQWA injection 450 RQ5.LR3 1.957 37.166
MQWA injection 450 RQ5.LR7 2.005 38.091
MQWB injection 450 RQT4.L3 1.034 19.254
MQWB injection 450 RQT4.L7 0.498 9.376
MQWB injection 450 RQT4.R3 1.034 19.442
MQWB injection 450 RQT4.R7 0.498 9.294
MQWB injection 450 RQT5.L3 1.459 27.282
MQWB injection 450 RQT5.L7 0.049 0.915
MQWB injection 450 RQT5.R3 1.459 27.292
MQWB injection 450 RQT5.R7 0.049 0.920
2009
MagnetTypes State E (GeV/c) Circuit G (T/m^n) I (A)
FiDeL
MQWA collision 7000 RQ4.LR3 28.983 560.298
MQWA collision 7000 RQ4.LR7 30.677 596.765
MQWA collision 7000 RQ5.LR3 30.446 591.818
MQWA collision 7000 RQ5.LR7 31.184 608.480
MQWB collision 7000 RQT4.L3 16.081 309.042
MQWB collision 7000 RQT4.L7 7.745 148.710
MQWB collision 7000 RQT4.R3 16.081 309.169
MQWB collision 7000 RQT4.R7 7.745 148.797
MQWB collision 7000 RQT5.L3 22.698 436.362
MQWB collision 7000 RQT5.L7 0.763 14.239
MQWB collision 7000 RQT5.R3 22.698 436.538
MQWB collision 7000 RQT5.R7 0.763 14.316
• “B” magnets in IR7 hardly used as all• No measurements below 30A• Asked for more “low-current” measurements
7
MQWA “local” transfer function (middle of magnet)
• Local measurements for 30, 100, 150, 300, 400, 500, 600, 650 A (ramp-up)
0.00076
0.00078
0.00080
0.00082
0.00084
0.00086
0.00088
0.00090
0.00092
0 200 400 600 800
Tra
nsfe
r fu
ncti
on, a
p1 +
ap2
(T
/A)
Current (A)
8
I (A) TF ave (units) TF sigma (units)
30 175 3240 93 27
100 -13 15150 -6 14200 0 13300 1 14400 -14 14500 -44 17600 -142 19650 -292 20710 -577 20750 -806 20810 -1184 20
Spread in MQWA TF local measurements
Strategy: Use local measurements for the shape!
I (A) TF ave (units) TF sigma (units)40 96 24
200 0 10710 -631 18810 -1249 16
Spread in MQWA TF integral measurements
FiDeL 31.03.2009 9
0.00235
0.00240
0.00245
0.00250
0.00255
0.00260
0.00265
0.00270
0.00275
0.00280
0.00285
0 200 400 600 800
Inte
grat
ed T
rans
fer
func
tion
(T.m
/A)
ap1
+ a
p2
Current (A)
MQWA integrated transfer function
• Local measurements for 40, 200, 710, 810 A (ramp-up)
Strategy (= 2008): Use integral measurementsfor calibration!
10
-1400
-1200
-1000
-800
-600
-400
-200
0
200
400
0 200 400 600 800
Inte
grat
ed T
rans
fer
func
tion
(un
its)
Current (A)
Combined MQWA integrated transfer function (units)
• Combining local and integral measurements• Defining geometric at 200 A• Plot the TF(I) mean value minus geometric (units)• Use mean residual magnetisation and saturation to fit• Use individual geometric value per magnet
11
CIRCUIT TF (T.m/A) TF (units)
RQ5.LR3 0.00275454 -1.1RQ4.LR3 0.00275492 0.3RQ4.LR7 0.00275534 1.8RQ5.LR7 0.00275452 -1.1
Average 0.00275483Stdev 1.4
Spread in MQWA TF geometric by circuit (small!)
-1400
-1200
-1000
-800
-600
-400
-200
0
200
400
0 200 400 600 800
Fit
of S
AT
1 (u
nits
)
Current (A)
Fit of saturation
Use points > 200 A
12
-50
0
50
100
150
200
0 200 400 600 800
Fit
of R
ES
MA
G (u
nits
)
Current (A)
Fit of resmag
Component Parameter Value
Saturation sigma 0I0 783.57s 3.96459509Inomref 710
Residual mag rho 0.00002298r 2.65060069Iinjref 40
Fit parameters
-25
-20
-15
-10
-5
0
5
10
15
0 200 400 600 800
Res
idu
al e
rro
r (u
nit
s)
Current (A)
Residual fit error (max 20 units)
Use points <= 200 A
Compared to 2008:• Same strategy• same geometric values• Fit parameters changed
slightly because found fit with less max residual error
13
Ap I (A) b3 a3 b4 a4 b5 a5 b6 a6 b7 a7 b8 a8 b9 a9 b10 a10 b11 a11
ave 1 40.00 -1.94 -0.20 0.23 -0.07 2.64 0.02 -1.42 0.00 -0.57 0.01 0.09 -0.02 0.00 0.00 1.01 -0.02 -0.04 -0.02stdev 1 0.03 3.67 4.82 1.82 1.43 0.49 0.83 0.35 0.19 0.17 0.08 0.08 0.18 0.00 0.00 0.06 0.05 0.04 0.01
ave 1 200.02 3.54 0.03 0.70 -0.07 2.90 0.03 -1.07 0.00 -0.77 0.00 0.06 0.00 0.00 0.00 1.03 -0.02 -0.04 -0.01stdev 1 0.08 2.97 5.17 1.79 1.44 0.44 0.87 0.35 0.19 0.13 0.05 0.08 0.18 0.00 0.00 0.03 0.05 0.02 0.01
ave 1 710.08 39.72 0.04 4.22 -0.05 5.76 0.02 -1.10 -0.02 -1.84 0.00 0.03 0.01 0.00 0.00 0.97 -0.01 0.02 -0.01stdev 1 0.08 5.04 4.41 1.81 1.44 0.55 0.80 0.41 0.21 0.20 0.05 0.08 0.18 0.00 0.00 0.03 0.05 0.02 0.01
ave 1 810.06 36.35 0.04 4.69 -0.05 5.73 0.02 -1.25 -0.02 -1.78 0.01 0.05 0.01 0.00 0.00 0.94 -0.01 0.01 -0.01stdev 1 0.06 5.53 4.05 1.84 1.43 0.58 0.76 0.42 0.21 0.22 0.06 0.08 0.18 0.00 0.00 0.03 0.05 0.03 0.01
ave 2 40.00 7.32 0.87 0.66 -0.04 -2.19 -0.12 -1.46 -0.03 0.46 -0.02 0.09 -0.05 0.00 0.00 1.02 -0.01 0.10 -0.01stdev 2 0.02 4.63 5.49 1.61 1.29 0.54 0.90 0.37 0.18 0.17 0.09 0.07 0.17 0.00 0.00 0.06 0.04 0.04 0.02
ave 2 200.02 -2.92 0.39 1.12 -0.01 -2.79 -0.06 -1.10 -0.03 0.76 0.00 0.05 -0.02 0.00 0.00 1.03 0.00 0.06 -0.01stdev 2 0.08 3.59 5.62 1.63 1.29 0.47 0.93 0.37 0.18 0.13 0.06 0.07 0.17 0.00 0.00 0.03 0.04 0.02 0.02
ave 2 710.07 -38.91 -0.09 4.66 -0.01 -5.65 -0.02 -1.12 -0.03 1.83 0.02 0.02 -0.02 0.00 0.00 0.97 0.00 -0.01 -0.01stdev 2 0.08 5.19 4.68 1.91 1.30 0.56 0.82 0.44 0.18 0.18 0.06 0.07 0.17 0.00 0.00 0.03 0.04 0.03 0.02
ave 2 810.06 -35.59 -0.29 5.12 -0.01 -5.62 0.00 -1.27 -0.03 1.76 0.03 0.04 -0.02 0.00 0.00 0.94 0.00 0.00 -0.01stdev 2 0.06 5.58 4.19 1.97 1.29 0.59 0.78 0.44 0.18 0.19 0.06 0.07 0.17 0.00 0.00 0.03 0.04 0.03 0.02
MQWA field errors (except b3 = new exercise!)
• No systematic skews• b1, b9 eliminated in global feed-down correction• Inspect each ap separately (do not miss odd functions!)• Decide to fit b3, b5, b7 for each ap• And b4, b6 both ap combined• Use geometric at 200 A for everything else• Use only integral measurements
14
-20
-10
0
10
20
30
40
50
60
0 200 400 600 800
b3 a
p1
(uni
ts)
Current (A)
-60
-50
-40
-30
-20
-10
0
10
20
0 200 400 600 800
b3 a
p2
(uni
ts)
Current (A)
15
-4.0
-2.0
0.0
2.0
4.0
6.0
8.0
10.0
12.0
0 200 400 600 800
b4 (u
nits
)
Current (A)
16
0
1
2
3
4
5
6
7
8
0 200 400 600 800
b5 a
p1
(uni
ts)
Current (A)
-8
-7
-6
-5
-4
-3
-2
-1
0
0 200 400 600 800
b5 a
p2
(uni
ts)
Current (A)
17
-4
-3
-3
-2
-2
-1
-1
0
1
1
0 200 400 600 800
b6 (u
nits
)
Current (A)
18
-3.0
-2.5
-2.0
-1.5
-1.0
-0.5
0.0
0 200 400 600 800
b7 a
p1
(uni
ts)
Current (A)
0.0
0.5
1.0
1.5
2.0
2.5
3.0
0 200 400 600 800
b7 a
p2
(uni
ts)
Current (A)
19
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
0 200 400 600 800
b10
(uni
ts)
Current (A)
-15.0
-10.0
-5.0
0.0
5.0
10.0
15.0
0 200 400 600 800
a3 (u
nits
)
Current (A)
Strategy (new 2009):Use only geometric for b10, a3 …
20
-10
-5
0
5
10
15
20
25
30
35
40
45
0 200 400 600 800
Fit
of
b3
(uni
ts)
Current (A)
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
0 200 400 600 800
Fit
of b
5 (u
nits
)
Current (A)
Etc …
21
Component Parameter b3 ap1 b3 ap2 b4 b5 ap1 b5 ap2 b6 b7 ap1 b7 ap2
Saturation sigma -34.496775 34.331265 -3.765255 -2.850863 2.844922 0.100824 1.040588 -1.028520I0 279.16 279.19 286.65 279.16 279.19 330.30 280.35 280.38s 53687092 53687092 53687092 53687092 53687092 53687092 53687092 53687092Inomref 710 710 710 710 710 710 710 710
Residual mag rho -5.479325 10.243788 -0.469236 -0.254226 0.597718 -0.354463 0.198167 -0.306461r 5.78 6.34 5.78 5.78 6.34 5.78 4.05 4.12Iinjref 40 40 40 40 40 40 40 40
Ave fit error 1.19 1.17 0.16 0.01 0.01 0.05 0.02 0.02
MQWA harmonic fit parameters
2222
MQWB “local” transfer function (middle of magnet)
0.000860.000870.000870.000880.000880.000890.000890.000900.000900.000910.000910.00092
0 100 200 300 400 500 600
Tra
nsfe
r fu
ncti
on, a
p1 +
ap2
(T
/A)
Current (A)
• Local measurements for 30, 40, 200, 600 A (ramp-up)
2323
Spread in MQWB TF local measurements
Strategy (new 2009)• Fit each magnet individually• 1 magnet = circuit• 8 circuits + spares
Spread in MQWA TF integral measurements
I (A) TF ave (units) TF sigma (units)
30 256 4540 150 34
200 0 17600 -124 41
I (A) TF ave (units) TF sigma (units)
40 157 31200 0 13600 -151 15
24
0.00268
0.00270
0.00272
0.00274
0.00276
0.00278
0.00280
0.00282
0 100 200 300 400 500 600
Inte
grat
ed T
rans
fer
func
tion
(T.m
/A)
ap1
+ a
p2
Current (A)
MQWB “integral” transfer function
• Local measurements for 40, 200, 600 A (ramp-up)• “Desperate” for incorporating local measurement at 30 A
25
-200
-150
-100
-50
0
50
100
150
0 200 400 600 800
MQ
WB
5 T
F (u
nits
)
Current (A)
MQWB 5 no “pro” fit!
• Local measurements does not fit!• Don’t worry! It is currently a spare so use it for “A” mode• Also for MQWB 36 and 51 we are missing 30 A measurement so
improvise (=invent a value for 30) by finding the most similar
26
-200
-150
-100
-50
0
50
100
150
200
250
0 200 400 600 800
MQ
WB
6 T
F (u
nits
)
Current (A)
Combined MQWB integrated transfer function (units)
27
CIRCUIT MAGNET TF (T.m/A) TF (units)
RQT5.L3 36 0.00275087 12.6RQT4.L3 50 0.00274807 2.4RQT4.R3 9 0.00274843 3.7RQT5.R3 35 0.00274799 2.1RQT5.L7 46 0.00275033 10.6RQT4.L7 6 0.00274312 -15.6RQT4.R7 52 0.00274457 -10.3RQT5.R7 25 0.00274589 -5.5
Average 0.00274741Stdev 9.8
Spread in MQWB TF geometric by circuit
-200
-150
-100
-50
0
50
100
150
200
250
0 200 400 600 800
Fit
of
SA
T1
(un
its)
Current (A)
Fit of SAT in MQWB 6
-50
0
50
100
150
200
250
0 200 400 600 800
Fit
of R
ES
MA
G (u
nits
)
Current (A)
Fit of RESMAG in MQWB 6
-20
-15
-10
-5
0
5
10
15
0 200 400 600 800
Res
idua
l err
or (u
nits
)
Current (A)
Residual fit error in MQWB 6
28
Component Parameter RQT5.L3 RQT4.L3 RQT4.R3 RQT5.R3 RQT5.L7 RQT4.L7 RQT4.R7 RQT5.R7
Saturation sigma 0.00074871 0.00076732 0.00069146 0.00070175 0.00078889 0.00058757 0.00076294 0.00067817I0 817.92 817.92 817.92 817.92 817.92 805.99 817.92 817.92s 3.09113007 3.09113007 3.09113007 3.09113007 3.09113007 3.09113007 3.09113007 3.09113007Inomref 600 600 600 600 600 600 600 600
Residual mag rho 0.00007580 0.00008859 0.00006159 0.00007580 0.00008216 0.00006013 0.00008610 0.00006645r 2.06711273 1.85079699 2.14494752 2.38413249 1.93314412 1.43582524 1.67667675 2.23560604Iinjref 30 30 30 30 30 30 30 30
Min fit error 0.6 1.3 0.4 0.1 0.9 3.0 2.1 0.2Ave fit error 2.8 5.2 2.0 1.5 4.0 9.3 7.4 1.8Max fit error 5.5 9.6 3.8 3.0 7.6 14.4 13.0 3.5
MQWB harmonic fit parameters
29
MQWB field errors (new exercise!)
• Analysis and conclusions similar to MQWA so skip details here!• Fit the average for all “B” circuits + spares
Ap I (A) b3 a3 b4 a4 b5 a5 b6 a6 b7 a7 b8 a8 b9 a9 b10 a10 b11 a11
ave 1 40.01 3.19 -2.00 0.99 -0.17 2.88 0.34 -1.57 -0.03 -0.79 0.00 0.04 -0.01 0.00 0.00 1.02 -0.01 -0.04 -0.02stdev 1 0.03 3.92 4.31 2.04 1.59 0.33 0.86 0.41 0.18 0.18 0.10 0.11 0.20 0.00 0.00 0.05 0.05 0.04 0.01
ave 1 200.04 -25.64 -2.09 1.46 -0.19 0.75 0.37 -1.30 -0.02 0.07 0.01 0.00 0.01 0.00 0.00 1.05 0.00 -0.11 -0.02stdev 1 0.08 3.12 5.56 1.98 1.56 0.34 0.97 0.37 0.20 0.17 0.05 0.10 0.20 0.00 0.00 0.02 0.05 0.02 0.01
ave 1 600.09 -11.01 -1.34 3.57 -0.19 1.98 0.30 -1.13 -0.03 -0.31 -0.01 -0.02 0.02 0.00 0.00 1.00 0.00 -0.09 -0.01stdev 1 0.13 3.70 5.57 1.87 1.55 0.40 1.00 0.47 0.19 0.19 0.05 0.10 0.19 0.00 0.00 0.04 0.05 0.02 0.01
ave 2 40.00 -4.81 0.58 0.73 0.19 -2.93 -0.13 -1.59 0.00 0.84 -0.01 0.05 -0.08 0.00 0.00 0.98 -0.01 0.08 -0.01stdev 2 0.03 4.21 4.77 1.85 1.36 0.63 0.73 0.43 0.19 0.23 0.09 0.09 0.19 0.00 0.00 0.14 0.05 0.03 0.01
ave 2 200.02 24.80 -0.72 1.06 0.20 -0.85 -0.04 -1.31 -0.01 -0.04 0.04 0.02 -0.05 0.00 0.01 1.05 -0.01 0.12 -0.01stdev 2 0.07 4.67 4.75 1.87 1.34 0.54 0.72 0.42 0.19 0.17 0.09 0.08 0.18 0.00 0.01 0.02 0.04 0.02 0.01
ave 2 600.09 10.42 -0.67 3.19 0.16 -2.09 -0.02 -1.15 -0.03 0.32 0.03 0.00 -0.04 0.00 0.00 1.00 -0.01 0.09 -0.01stdev 2 0.13 5.39 4.09 1.88 1.32 0.59 0.63 0.58 0.20 0.19 0.09 0.08 0.18 0.00 0.00 0.04 0.04 0.02 0.01
Component Parameter b3 ap1 b3 ap2 b4 b5 ap1 b5 ap2 b6 b7 ap1 b7 ap2
Saturation sigma -14.628818 14.385909 -2.116364 -1.228818 1.235636 -0.167727 0.375636 -0.364455I0 279.16 279.19 286.65 279.16 279.19 330.30 280.35 280.38s 53687092 53687092 53687092 53687092 53687092 53687092 53687092 53687092
Inomref 600 600 600 600 600 600 600 600Residual mag rho 28.868304 -29.619762 -0.402947 2.130273 -2.076697 -0.271574 -0.863982 0.884738
r 6.75 6.81 5.78 5.78 6.34 5.78 5.38 6.06Iinjref 40 40 40 40 40 40 40 40
Ave fit error 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
30
Difference 2009 M 2008 (units)
MagnetTypes Circuit I (A) 450 5000 7000
MQWA RQ4.LR3 35 400 560 11 7 -17
MQWA RQ4.LR7 37 420 596 11 -2 -23
MQWA RQ5.LR3 37 417 591 11 -2 -22
MQWA RQ5.LR7 38 427 608 11 -3 -26
MQWB RQT4.L3 9 106 148 394 -5 -3
MQWB RQT4.L7 9 106 148 -214 -36 -22
MQWB RQT4.R3 19 221 309 494 0 0
MQWB RQT4.R7 9 106 149 -304 -38 -21
MQWB RQT5.L3 27 311 436 81 -1 -2
MQWB RQT5.L7 1 10 14 -290 -290 -290
MQWB RQT5.R3 27 311 436 81 0 -2
MQWB RQT5.R7 1 10 14 -236 -236 -236
Effective change in current predictions 2009 vs 2008
2009
MagnetTypes State E (GeV/c) Circuit G (T/m^n) I (A)
FiDeL
MQWA injection 450 RQ4.LR3 1.863 35.324
MQWA injection 450 RQ4.LR7 1.972 37.445
MQWA injection 450 RQ5.LR3 1.957 37.166
MQWA injection 450 RQ5.LR7 2.005 38.091
MQWB injection 450 RQT4.L3 1.034 19.254
MQWB injection 450 RQT4.L7 0.498 9.376
MQWB injection 450 RQT4.R3 1.034 19.442
MQWB injection 450 RQT4.R7 0.498 9.294
MQWB injection 450 RQT5.L3 1.459 27.282
MQWB injection 450 RQT5.L7 0.049 0.915
MQWB injection 450 RQT5.R3 1.459 27.292
MQWB injection 450 RQT5.R7 0.049 0.920
Everybody lies