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Magnetic Measurements: MQW Quadrupoles. Didier Cornuet (22/03/2005). Characteristics of the double aperture quadrupoles MQW. Two types of configurations: - Configuration DF (defocusing-focusing): At 40A : Gm = 2,098 T/m Lm = 3,127 m b3 2 units - PowerPoint PPT Presentation
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Magnetic Measurements: MQW Quadrupoles
Didier Cornuet (22/03/2005)
Characteristics of the double aperture quadrupoles MQW
Two types of configurations:
- Configuration DF (defocusing-focusing):
At 40A : Gm = 2,098 T/m Lm = 3,127 m b3 2 units
At 710A: Gm = 34,7 T/m Lm = 3,110 m b3 35 units
- Configuration FF (focusing-focusing):
At 40A : Gm = 2,100 T/m Lm = 3,127 m b3 5,5 units
At 600A: Gm = 30,63 T/m Lm = 3,121 m b3 8,0 units
Cross section of the MQW
Principle of measurements- Harmonic analysis
- Mole 0,75 m long, displaced in 5 longitudinal positions
- No use of the magnet fiducials
Magnetic center errors: εx , εy = 0,3 mm
Integrated field gradient errors: 2 ‰ @ 40A
(Gm.Lm) 1,5 ‰ @ 200A
1 ‰ @ 600A and above
Quadrupolar components: 3 units (repeatability)
Sextupolar components: 1 unit
Other harmonics: 10 %
Problem
The MQW quadrupoles are very sensitive to their magnetic history and errorsappear to be higher than the expected ones:
Δ Gm.Lm of up to 7 ‰ between apertures 1 and 2 @ 40A (DF)
Δ b3 of up to 8 units for apertures 1 and 2 @ 40A (DF)
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
0 10 20 30 40 50 60
Magnets
De
lta
Gm
*Lm
DF configuration FF configuration
Different sequences:
1. DF DM MM DF1 DF2 DM / FF MM FF2 FF1 DM / DF DM
- 5 magnets measured with this sequence
3 remeasured and 1 to be remeasured
MQW005:
- 1 ‰ difference of the Gm.Lm @ 40 A (DF1 checked after FF)
- Δb3 = 4 units, although small remanent field measured after demagnetisations (not fully refined)
Different sequences:
2. DF DM MM DF1 DM / FF MM FF1 FF2 DM / DF DM MM DF2 DF DM
- 30 magnets measured, where:
4 remeasured1 to be remeasured
12 magnets: Δ(Gm.Lm) < 2‰ @ 40A
13 magnets: 2‰ < Δ(Gm.Lm) < 3,3‰ @ 40A
But we may expect an additional difference of 2‰ to DF1 not measuredafter FF configuration.
Different sequences:
3. DF DM / FF MM FF1 DM / DF DM MM DF1 DM / FF MM FF2 DM /
/ DF DM MM DF2 DM
- 15 magnets measured, where:
MQW030: Δ(Gm.Lm) = 4‰ @ 40A DF1
Δ(Gm.Lm) = 3‰ @ 40A FF1
(demagnetisation procedure not refined)
- 2 magnets still to be measured
Aperture 1
Aperture 2
(Gm*Lm) [T]
between apertures:
DF mode @ 40A
Magnet b1 a1 b2 b3 b4 b5 b6 Dx[mm] Dy[mm] Lm[m] Bm[mrad]Gm[T/m] Gm*Lm[T]25 -195.87 -65.45 10000 1.27 -0.32 2.81 -1.24 -0.507 0.024 3.1286 -12.43 2.1014 6.574525 -197.47 -50.33 10000 -3.68 -0.25 2.48 -1.29 -0.454 -0.025 3.1285 -17.60 2.0903 6.539631 -168.98 43.51 10000 5.97 -0.87 3.03 -1.17 -0.172 -0.080 3.1268 -17.01 2.0945 6.549131 -187.69 43.82 10000 1.32 -0.86 2.74 -1.17 0.132 0.094 3.1263 -16.87 2.0915 6.538632 -199.42 4.91 10000 6.07 4.29 2.9 -1.33 -0.171 0.336 3.1307 -0.99 2.0933 6.553532 -275.41 -53.4 10000 -5.27 4.35 2.19 -1.35 -0.490 0.193 3.1278 -17.07 2.0870 6.527740 -198.44 70.46 10000 4.78 -0.16 3.43 -1.48 -0.406 0.366 3.1283 -16.80 2.0981 6.563540 -216.63 79.5 10000 -3.29 0.09 2.86 -1.5 -0.204 0.185 3.1300 -16.89 2.0895 6.540244 -235.33 -11.33 10000 0.89 -0.4 2.58 -1.34 -0.338 0.048 3.1284 -16.97 2.0969 6.559944 -288.37 -7.48 10000 -6.29 -0.34 2.08 -1.36 -0.704 0.236 3.1279 -17.25 2.0949 6.5525
Magnet b1 a1 b2 b3 b4 b5 b6 Dx[mm] Dy[mm] Lm[m] Bm[mrad] Gm[T/m] Gm*Lm[T]25 101.69 46.59 10000 5.4 -2.36 -2.69 -1.71 0.147 0.303 3.1301 -12.22 2.0904 6.543225 106.09 89.15 10000 0.82 -2.3 -2.99 -1.68 0.482 0.890 3.1307 -17.85 2.0851 6.527831 235.03 -17.86 10000 10.48 0.88 -1.68 -0.79 0.516 -0.083 3.1267 -17.38 2.0893 6.532531 192.4 -20.89 10000 5.42 0.9 -2.04 -0.8 0.139 0.271 3.1273 -17.23 2.0931 6.545732 202.29 14 10000 11.2 3.01 -1.83 -1.43 0.618 0.356 3.1275 0.13 2.0813 6.509232 188.22 -13.81 10000 1.36 2.55 -2.46 -1.31 0.593 0.667 3.1276 -17.45 2.0858 6.523540 194.13 4.73 10000 7.65 1.78 -2.37 -1.67 0.099 0.223 3.1290 -16.77 2.0855 6.525640 185.52 1.79 10000 -0.15 1.91 -2.92 -1.62 0.489 0.027 3.1299 -16.74 2.0882 6.535944 231.99 22.23 10000 15.55 0 -1.44 -1.26 0.249 0.337 3.1270 -16.88 2.0866 6.524844 194.39 29.77 10000 6.83 -0.08 -2.04 -1.25 0.233 0.335 3.1285 -17.04 2.0889 6.5351
b3 [units] : AP1 AP2MQW025 4.95 4.58MQW032 11.34 5.06MQW031 4.65 9.84MQW040 8.07 7.8MQW044 7.18 8.72
Delta (old b3 - new b3) [units]NEW OLD
MQW025 1.8 4.8MQW031 -1.1 2.5MQW032 0.6 6.8MQW040 0.6 5.8MQW044 2.6 5.3
Delta Gm*Lm [‰]
Aperture 1
Aperture 2
(Gm*Lm) [T]
between apertures:
DF mode @ 710A
Magnet b1 a1 b2 b3 b4 b5 b6 Dx[mm] Dy[mm] Lm[m] Bm[mrad] Gm[T/m] Gm*Lm[T]25 19.52 -104.96 10000 40.75 3.04 5.9 -0.74 -0.061 -0.175 3.1087 -12.34 34.7195 107.930725 17.82 -102.91 10000 40.42 2.88 5.86 -0.93 -0.224 -0.119 3.1091 -17.65 34.7409 108.012532 -41.03 -34.23 10000 41.37 8.11 5.72 -0.99 0.024 0.315 3.1136 0.41 34.7143 108.085632 -48.79 -43.55 10000 39.6 7.64 5.55 -0.99 -0.293 0.115 3.1122 -17.04 34.6574 107.861140 -45.53 55.29 10000 34.2 3.69 5.69 -1.09 -0.411 0.499 3.1104 -16.93 34.5129 107.349440 -42.4 51.91 10000 34.05 3.83 5.7 -1.2 -0.053 0.146 3.1119 -16.82 34.5346 107.466744 -65.11 10.85 10000 38.63 5.16 5.35 -0.94 -0.094 0.278 3.1101 1.03 34.5722 107.523744 -58.61 4.63 10000 39.2 4.71 5.4 -0.93 -0.492 0.260 3.1099 -17.08 34.5909 107.5745
Magnet b1 a1 b2 b3 b4 b5 b6 Dx[mm] Dy[mm] Lm[m] Bm[mrad] Gm[T/m] Gm*Lm[T]25 -62.19 32.78 10000 -45.19 2.38 -6.45 -1.22 0.078 0.269 3.1095 -12.03 34.6715 107.810225 -67.11 37.42 10000 -46.38 2.47 -6.51 -1.34 0.360 0.759 3.1092 -17.82 34.7074 107.912632 29.95 8.74 10000 -39.85 7.16 -5.61 -1.03 0.518 0.195 3.1118 -0.39 34.6868 107.938332 31.85 -6.15 10000 -41.26 6.53 -5.69 -1.01 0.472 0.607 3.1116 -17.24 34.6838 107.923340 29.09 -11.5 10000 -41.82 6.7 -5.99 -1.16 0.116 0.332 3.1106 -16.56 34.5147 107.360840 31.38 -15.96 10000 -41.7 6.81 -5.99 -1.28 0.415 0.006 3.1115 -16.63 34.5385 107.466844 39.08 38.45 10000 -38.27 5.1 -5.49 -0.81 0.473 0.335 3.1104 0.45 34.5619 107.500644 42.04 35.94 10000 -38.37 4.43 -5.53 -0.84 0.165 0.331 3.1101 -16.60 34.5681 107.5116
NEW OLDMQW025 0.9 1.1MQW032 -0.6 1.4MQW040 0.0 -0.1MQW044 0.6 0.2
Delta Gm*Lm [‰]AP1 AP2
MQW025 0.33 1.19MQW032 1.77 1.41MQW040 0.15 -0.12MQW044 -0.57 0.1
Delta (old b3 - new b3) [units]
b3 [units] :
Aperture 1
Aperture 2
(Gm*Lm) [T]
between apertures:
FF mode @ 40A
Magnet b1 a1 b2 b3 b4 b5 b6 Dx[mm] Dy[mm] Lm[m] Bm[mrad] Gm[T/m] Gm*Lm[T]25 -151.14 -61.16 10000 3.08 -0.24 2.95 -1.26 -0.251 -0.117 3.1290 -12.03 2.1013 6.574925 -156.88 -53.83 10000 1.81 -0.22 2.86 -1.27 -0.444 -0.029 3.1314 -17.52 2.0935 6.555732 -203.38 -12.63 10000 3.84 4.13 2.8 -1.71 -0.210 0.243 3.1289 0.99 2.0930 6.548732 -237.97 -54.14 10000 -1.36 3.95 2.45 -1.28 -0.476 0.111 3.1278 -17.05 2.0918 6.542740 -141 61.93 10000 12.2 -0.16 3.94 -1.47 -0.373 0.276 3.1298 -16.85 2.0999 6.572340 -142.07 77.47 10000 9.47 0.03 3.74 -1.47 -0.144 0.212 3.1313 -16.67 2.0941 6.557444 -156.18 13.3 10000 11.11 -0.24 3.24 -1.4 -0.164 0.321 3.1277 0.27 2.1099 6.599144 -234.1 -3.76 10000 2.16 -0.4 2.66 -1.32 -0.670 0.273 3.1296 -17.25 2.0946 6.5552
Magnet b1 a1 b2 b3 b4 b5 b6 Dx[mm] Dy[mm] Lm[m] Bm[mrad] Gm[T/m] Gm*Lm[T]25 39.75 44.59 10000 -9.16 -2.27 -3.7 -1.68 0.096 0.341 3.1301 -12.21 -2.0973 -6.564825 72.23 79.67 10000 -4.35 -2.26 -3.35 -1.67 0.444 0.834 3.1322 -17.84 -2.0883 -6.541032 114.05 9.63 10000 -8.44 2.82 -3.27 -1.76 0.572 0.226 3.1284 0.46 -2.0865 -6.527432 182.88 -16.23 10000 0.26 2.58 -2.58 -1.31 0.529 -0.046 3.1291 -17.68 -2.0886 -6.535640 105.69 -1.38 10000 -9.12 1.74 -3.49 -1.65 0.188 0.264 3.1285 -16.92 -2.0979 -6.563340 162.82 7.59 10000 -3.27 1.89 -3.13 -1.61 0.470 0.033 3.1290 -16.91 -2.0917 -6.545044 117.54 68.12 10000 -7.34 0.24 -3.05 -1.27 0.499 0.409 3.1283 0.24 -2.1005 -6.571044 131.25 26.36 10000 -5.76 0.07 -2.9 -1.2 0.183 0.347 3.1287 -16.95 -2.0952 -6.5554
AP1 AP2MQW025 1.27 -4.81MQW032 5.2 -8.7MQW040 2.73 -5.85MQW044 8.95 -1.58
Delta (old b3 - new b3) [units]b3 [units] : NEW OLD
MQW025 2.2 1.5MQW032 1.1 3.2MQW040 1.9 1.4MQW044 0.0 4.2
Delta Gm*Lm [‰]
Aperture 1
Aperture 2
(Gm*Lm) [T]
between apertures:
FF mode @ 600A
Magnet b1 a1 b2 b3 b4 b5 b6 Dx[mm] Dy[mm] Lm[m] Bm[mrad] Gm[T/m] Gm*Lm[T]25 -178.03 -112.13 10000 -9.1 1.55 2.28 -0.13 -0.218 -0.197 3.1209 -12.07 30.6255 95.579925 -173.09 -107.17 10000 -9.2 1.48 2.29 -0.8 -0.365 -0.159 3.1221 -17.66 30.6569 95.712532 -229.05 -45.07 10000 -8.73 7.09 2.07 -1.01 -0.102 0.284 3.1265 -0.16 30.6231 95.743332 -246.38 -51.68 10000 -9.29 6.66 1.98 -0.9 -0.434 0.088 3.1249 -17.11 30.5743 95.540740 -236.17 64.42 10000 -7.82 2.76 2.53 -0.4 -0.437 0.328 3.1235 -16.84 30.4632 95.151340 -205.97 54.27 10000 -8.56 2.88 2.58 -1.11 -0.157 0.155 3.1246 -16.69 30.4843 95.250844 -218.65 3.59 10000 -4.95 3.32 2.26 -0.95 -0.192 0.299 3.1222 0.02 30.5866 95.496844 -235.22 6.24 10000 -6.14 3 2.15 -0.87 -0.580 0.253 3.1219 -16.54 30.5787 95.4621
Magnet b1 a1 b2 b3 b4 b5 b6 Dx[mm] Dy[mm] Lm[m] Bm[mrad] Gm[T/m] Gm*Lm[T]25 137.77 44.84 10000 6.6 0.94 -2.75 -0.53 0.174 0.302 3.1210 -12.50 -30.5899 -95.472225 137.18 51.19 10000 7.01 1 -2.72 -1.21 0.523 0.762 3.1217 -17.30 -30.6154 -95.571432 223.33 2.69 10000 8.84 5.78 -2.11 -1.07 0.680 0.202 3.1246 -0.45 -30.6063 -95.631332 233.86 -14.25 10000 9.47 5.41 -2.04 -0.93 0.581 -0.079 3.1248 -17.31 -30.5908 -95.590140 241.78 -0.67 10000 9.1 5.35 -2.27 -0.54 0.229 0.390 3.1220 -16.72 -30.4645 -95.109840 239.87 -19.43 10000 9.54 5.47 -2.31 -1.23 0.547 -0.034 3.1224 -16.81 -30.4916 -95.205544 203.96 39.97 10000 4.33 3.53 -2.41 -0.8 0.566 0.337 3.1217 0.98 -30.5770 -95.450944 201.95 31.91 10000 3.93 3.26 -2.44 -0.72 0.274 0.333 3.1213 -16.86 -30.5825 -95.4573
NEW OLDMQW025 1.5 1.1MQW032 -0.5 1.2MQW040 0.5 0.4MQW044 0.1 0.5
Delta Gm*Lm [‰]AP1 AP2
MQW025 0.1 -0.41MQW032 0.56 -0.63MQW040 0.74 -0.44MQW044 1.19 0.4
Delta (old b3 - new b3) [units]b3 [units] :
Measuring Cycle For 710A
Magnetisation Cycle
Old Demagnetisation Cycle
- + - + -
Latest Demagnetisation Cycle
- + - + - + -
DF 40A
b3 versus b5
45
50
8
15
9
2538
1
1.5
2
2.5
3
3.5
4
-15 -10 -5 0 5 10
b3
b5
AP1
b3 versus b5
25
9
4538
50
15
8
-3.5
-3
-2.5
-2
-1.5
-1
-0.5
-5 0 5 10 15 20
b3
b5
AP2
DF 710A
b3 versus b5
6
50
1815
51
52
16
4
4.5
5
5.5
6
6.5
7
25 30 35 40 45 50
b3
b5
AP1
b3 versus b5
50
6
52
16
51
18
15
-7
-6.5
-6
-5.5
-5
-4.5
-4
-50 -45 -40 -35 -30 -25
b3
b5
AP2
FF 40A
b3 versus b5
5
47
38
15
39
51
16
37
2
2.5
3
3.5
4
4.5
-10 -5 0 5 10 15
b3
b5
AP1
b3 versus b5
39
16
51
37
5
47
15
38
-4
-3.5
-3
-2.5
-2
-1.5
-1
-12 -10 -8 -6 -4 -2 0 2 4 6
b3
b5
AP2
FF 200A
b3 versus b5
15
52
550
36
0
0.5
1
1.5
2
2.5
-35 -30 -25 -20 -15
b3
b5
AP1
b3 versus b5
15
36
50
552
-2.5
-2
-1.5
-1
-0.5
0
15 20 25 30 35
b3b
5
AP2
Variation of the magnetic center in function of the current, for DF configuration in aperture 1
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm)
40 A
200 A
710 A
810 A
MQW011 Variation of the magnetic center in function of the current, for DF configuration in aperture 2
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm)
40 A
200 A
710 A
810 A
MQW011
Magnetic center variation in function of the current (DF)
Variation of the magnetic center in function of the current, for DF configuration in aperture 1
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm)
40 A
200 A
710 A
810 A
MQW032 Variation of the magnetic center in function of the current, for DF configuration in aperture 2
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm)
40 A
200 A
710 A
810 A
MQW032
Variation of the magnetic center in function of the current, for DF configuration in aperture 1
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm)
40 A
200 A
710 A
810 A
MQW048 Variation of the magnetic center in function of the current, for DF configuration in aperture 2
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm)
40 A
200 A
710 A
810 A
MQW048
Magnetic center variation in function of the current (FF)Variation of the magnetic center in function of the current, for FF configuration in aperture 1
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm)40 A
200 A
600 A
MQW011 Variation of the magnetic center in function of the current, for FF configuration in aperture 2
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm) 40 A
200 A
600 A
MQW011
Variation of the magnetic center in function of the current, for FF configuration in aperture 1
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm)
40 A
200 A
600 A
MQW032 Variation of the magnetic center in function of the current, for FF configuration in aperture 2
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm)
40 A
200 A
600 A
MQW032
Variation of the magnetic center in function of the current, for FF configuration in aperture 1
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm)
40 A
200 A
600 A
MQW048 Variation of the magnetic center in function of the current, for FF configuration in aperture 2
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
-0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 0.4 0.5 0.6
X (mm)
Y (mm)
40 A
200 A
600 A
MQW048
