LHC Project Note XXX
2009-01-01
Vittorio.remondino@cern.ch
Magnetic model of the orbit corrector dipoles MCBC and MCBY
V. Remondino for the FiDeL team
CERN, Technology Department
Keywords: Superconducting Magnets, Magnetic Field Model, Harmonics, LHC.
1. Summary of main parameters
Function in the machine: The LHC Insertion Regions are equipped with 6 different types of
twin-aperture orbit dipole corrector assemblies. The MCBC (four different types, 168
modules) and the MCBY (two different types, 76 modules) are twin-aperture assemblies
consisting of two superconducting dipole modules mounted in a common support structure.
Two types of modules 1100 mm long are required: modules with a 56 mm diameter bore for
the MCBC assemblies, and modules with a 70 mm diameter bore for the MCBY assemblies.
Both types of magnet modules are of similar construction, using the same superconducting
wire. The individually powered magnet modules are arranged such that the field in one
aperture is vertical (horizontal correction) and horizontal (vertical correction) in the other. The
complete dipole corrector assemblies have a maximum outer diameter of 452 mm and 475
mm and a mass of around 1200 kg. The nominal strength of the MCBC is 3.1 T at the nominal
current of 100 A, with a magnetic length of 0.904 m; that of the MCBY is 2.5 T at the
nominal current of 72 A at 4.5 K, with a magnetic length of 0.899 m (see Table I). The
measured transfer functions agree with the nominal within 1%. These magnets are used to
correct orbits and multipoles in the insertions at Q5, Q6, Q7, Q8, Q9 and Q10 (MCBC) and
Q4, Q5, Q6 (MCBY).
Fig. 1: Cross-section of MCBC (left) and MCBY (right).
This is an internal CERN publication and does not necessarily reflect the views of the LHC project management.
Table I: Summary of MCBC & MCBY parameters.
MCBCH MCBYH
MCBCV MCBYV
N° modules
168
76
Aperture
[mm]
56
70
Outer diameter support
[mm]
452
475
Overall length
[mm]
1100
Weight
[Kg]
1200
Nominal strength at 1.9 K
[T]
3.1
[T]
[T m]
[T m]
[A]
[A]
[m]
2.5
2.26
2.27
100
80
0.904
58%
1
375
2840
14.2
Nominal strength at 4.5 K
Integrated nominal strength at 4.5 K
Measured integrated strength at 4.5 K
Nominal current at 1.9 K
Nominal current at 4.5 K
Magnetic length
Nominal current/short sample at 1.9 K
Max ramp rate
Resistance at room temperature
Inductance
Stored energy at nominal
[A/s]
[Ω]
[mH]
[kJ]
2.5
2.25
2.27
72
0.899
60%
0.66
501
5270
13.6
Numbers and variants: The MCBC assemblies are associated with MQM and MQ, whereas
the MCBY assemblies are associated with the MQY. Since the MCBC assemblies are
associated with two different types of quadrupoles, two versions are required: (i) MCBCA or
MCBCB type which are assembled with the MQM, and (ii) the MCBCC or MCBCD which
are assembled with the MQ. The list of variants is given in Table II.
Table II: List of MCBC / MCBY variants (A1: horizontal field, vertical corrector – B1: vertical field, horizontal
corrector)
Magnet assembly External aperture Internal aperture Main cold mass
MCBCA
A1
B1
MQ
MCBCB
B1
A1
MQ
MCBCC
A1
B1
MQM
MCBCD
B1
A1
MQM
MCBYA
A1
B1
MQY
B
A
MCBYB
MQY
1
1
Naming convention: The assemblies have been identified following the rules described in
Table III. The prefix is followed by a 4-digit progressive number.
Expected operational cycles, range of current and operational temperature: The MCBC
operate at 1.9 K or at 4.5 K, depending on the position in the lattice. The MCBY operate at
4.5 K. They are both dipolar magnets whose setting is given by BPM measurements, as the
MCB. During the 2010 run, values at injection for MCBC have been within 2 A, and within
15 A at 3.5 TeV: at 7 TeV the requirements on current are well below nominal. On the other
-2-
hand, currents in MCBY have been within 5 A at injection, and within 50 A at 3.5 TeV.
Opertation at 7 TeV could require current beyond nominal.
Table III: Naming convention for MCBC & MCBY
Magnet
Assembly
Assembly prefix
Module prefix
MCBCA
HCMCBCA001-TE00
HCMCBCM001-TE00
MCBCB
HCMCBCB001-TE00
HCMCBCM001-TE00
MCBCC
HCMCBCC001-TE00
HCMCBCM001-TE00
MCBCD
HCMCBCD001-TE00
HCMCBCM001-TE00
MCBYA
HCMCBYA001-TE00
HCMCBYM001-TE00
MCBYB
HCMCBYB001-TE00
HCMCBYM001-TE00
Summary of manufacturing parameters, and manufacturers: The MCBC and MCBY have
been built by the English company TESLA. The cable has a Type2 strand [1].
2. Layout
Slots and positions: MCBCs are located in all insertions whereas MCBYs are in insertions 1,
2,4,5,6 and 8 only. The position of the MCBC is shown in Table VI and that of MCBY in
Table V.
Table IV. Position of the MCBC in the insertions.
IR 1
No
1
2
3
4
5
6
7
8
9
10
11
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
HCMCBCB001-TE000027
HCMCBCB001-TE000027
HCMCBCA001-TE000011
HCMCBCA001-TE000011
HCMCBCB001-TE000010
HCMCBCB001-TE000010
HCMCBCA001-TE000011
HCMCBCA001-TE000011
RCBCH10.L1B1
RCBCV10.L1B2
RCBCV9.L1B1
RCBCH9.L1B2
RCBCH8.L1B1
RCBCV8.L1B2
RCBCV9.L1B1
RCBCH9.L1B2
HCMCBCM001-TE000056
HCMCBCM001-TE000052
HCMCBCM001-TE000023
HCMCBCM001-TE000027
HCMCBCM001-TE000020
HCMCBCM001-TE000021
HCMCBCM001-TE000023
HCMCBCM001-TE000027
-380.839
-380.839
-340.377
-340.377
-301.309
-301.309
-340.377
-340.377
HCMCBCA001-TE000018
HCMCBCA001-TE000018
HCMCBCB001-TE000019
HCMCBCB001-TE000019
HCMCBCB001-TE000047
HCMCBCB001-TE000047
HCMCBCA001-TE000058
HCMCBCA001-TE000058
HCMCBCA001-TE000067
HCMCBCA001-TE000067
HCMCBCB001-TE000075
HCMCBCB001-TE000075
RCBCH6.L1B1
RCBCV6.L1B2
RCBCH5.L1B2
RCBCV5.L1B1
RCBCH5.R1B1
RCBCV5.R1B2
RCBCV6.R1B1
RCBCH6.R1B2
RCBCV7.R1B2
RCBCH7.R1B1
RCBCH8.R1B2
RCBCV8.R1B1
HCMCBCM001-TE000037
HCMCBCM001-TE000036
HCMCBCM001-TE000035
HCMCBCM001-TE000040
HCMCBCM001-TE000095
HCMCBCM001-TE000096
HCMCBCM001-TE000114
HCMCBCM001-TE000113
HCMCBCM001-TE000135
HCMCBCM001-TE000133
HCMCBCM001-TE000153
HCMCBCM001-TE000152
-231.432
-231.432
-199.532
-199.532
193.448
193.448
225.348
225.348
267.812
267.812
306.884
306.884
HCMCBCA001-TE000064
RCBCV9.R1B2
HCMCBCM001-TE000130
347.346
-3-
POSITION
12
HCMCBCA001-TE000064
HCMCBCB001-TE000037
RCBCH9.R1B1
RCBCV10.R1B1
HCMCBCM001-TE000129
HCMCBCM001-TE000075
347.346
386.414
HCMCBCB001-TE000037
RCBCH10.R1B2
HCMCBCM001-TE000076
386.414
IR 2
No
1
2
3
4
5
6
7
8
9
10
11
12
13
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
POSITION
HCMCBCB001-TE000083
HCMCBCB001-TE000083
HCMCBCA001-TE000072
HCMCBCA001-TE000072
HCMCBCB001-TE000045
HCMCBCB001-TE000045
HCMCBCA001-TE000024
HCMCBCA001-TE000024
RCBCH10.L2B2
RCBCV10.L2B1
RCBCH9.L2B1
RCBCV9.L2B2
RCBCH8.L2B2
RCBCV8.L2B1
RCBCH7.L2B1
RCBCV7.L2B2
HCMCBCM001-TE000158
HCMCBCM001-TE000169
HCMCBCM001-TE000146
HCMCBCM001-TE000151
HCMCBCM001-TE000091
HCMCBCM001-TE000092
HCMCBCM001-TE000050
HCMCBCM001-TE000049
-381.35
-381.35
-340.888
-340.888
-301.82
-301.82
-260.387
-260.387
HCMCBCA001-TE000080
HCMCBCA001-TE000080
HCMCBCB001-TE000079
HCMCBCB001-TE000079
HCMCBCA001-TE000068
HCMCBCA001-TE000068
HCMCBCB001-TE000065
HCMCBCB001-TE000065
HCMCBCA001-TE000070
HCMCBCA001-TE000070
HCMCBCA001-TE000082
HCMCBCA001-TE000082
RCBCH6.L2B2
RCBCV6.L2B1
RCBCHS5.R2B2
RCBCVS5.R2B1
RCBCVS5.R2B2
RCBCHS5.R2B1
RCBCH5.R2B2
RCBCV5.R2B1
RCBCH6.R2B1
RCBCV6.R2B2
RCBCH7.R2B2
RCBCV7.R2B1
HCMCBCM001-TE000166
HCMCBCM001-TE000165
HCMCBCM001-TE000155
HCMCBCM001-TE000154
HCMCBCM001-TE000139
HCMCBCM001-TE000138
HCMCBCM001-TE000131
HCMCBCM001-TE000132
HCMCBCM001-TE000143
HCMCBCM001-TE000142
HCMCBCM001-TE000167
HCMCBCM001-TE000168
-246.79
-246.79
162.689
162.689
163.836
163.836
164.982
164.982
236.939
236.939
268.323
268.323
HCMCBCB001-TE000069
HCMCBCB001-TE000069
HCMCBCA001-TE000016
HCMCBCA001-TE000016
HCMCBCB001-TE000063
RCBCH8.R2B1
RCBCV8.R2B2
RCBCV9.R2B1
RCBCH9.R2B2
RCBCH10.R2B1
HCMCBCM001-TE000141
HCMCBCM001-TE000140
HCMCBCM001-TE000033
HCMCBCM001-TE000032
HCMCBCM001-TE000127
307.395
307.395
347.857
347.857
386.925
HCMCBCB001-TE000063
RCBCV10.R2B2
HCMCBCM001-TE000128
386.925
IR 3
No
1
2
3
4
5
6
7
8
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
HCMCBCD001-TE000041
HCMCBCD001-TE000041
HCMCBCC001-TE000056
HCMCBCC001-TE000056
HCMCBCD001-TE000084
HCMCBCD001-TE000084
HCMCBCC001-TE000026
HCMCBCC001-TE000026
RCBCH10.L3B1
RCBCV10.L3B2
RCBCH9.L3B2
RCBCV9.L3B1
RCBCH8.L3B1
RCBCV8.L3B2
RCBCV7.L3B1
RCBCH7.L3B2
HCMCBCM001-TE000084
HCMCBCM001-TE000083
HCMCBCM001-TE000117
HCMCBCM001-TE000119
HCMCBCM001-TE000170
HCMCBCM001-TE000171
HCMCBCM001-TE000053
HCMCBCM001-TE000054
-380.82
-380.82
-340.299
-340.299
-301.29
-301.29
-262.225
-262.225
HCMCBCA001-TE000076
HCMCBCA001-TE000076
HCMCBCB001-TE000073
HCMCBCB001-TE000073
HCMCBCD001-TE000071
HCMCBCD001-TE000071
HCMCBCC001-TE000035
RCBCH6.L3B1
RCBCV6.L3B2
RCBCV6.R3B1
RCBCH6.R3B2
RCBCV7.R3B2
RCBCH7.R3B1
RCBCV8.R3B1
HCMCBCM001-TE000160
HCMCBCM001-TE000159
HCMCBCM001-TE000144
HCMCBCM001-TE000145
HCMCBCM001-TE000148
HCMCBCM001-TE000149
HCMCBCM001-TE000072
-205.73
-205.73
195.87
195.87
267.838
267.838
306.903
-4-
POSITION
9
10
HCMCBCC001-TE000035
HCMCBCD001-TE000057
HCMCBCD001-TE000057
HCMCBCC001-TE000066
RCBCH8.R3B2
RCBCV9.R3B2
RCBCH9.R3B1
RCBCH10.R3B2
HCMCBCM001-TE000073
HCMCBCM001-TE000116
HCMCBCM001-TE000115
HCMCBCM001-TE000137
306.903
347.424
347.424
386.433
HCMCBCC001-TE000066
RCBCV10.R3B1
HCMCBCM001-TE000136
386.433
IR 4
No
1
2
3
4
5
6
7
8
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
POSITION
HCMCBCA001-TE000032
HCMCBCA001-TE000032
HCMCBCB001-TE000025
HCMCBCB001-TE000025
HCMCBCA001-TE000036
HCMCBCA001-TE000036
RCBCV10.L4B1
RCBCH10.L4B2
RCBCH9.L4B1
RCBCV9.L4B2
RCBCV8.L4B1
RCBCH8.L4B2
HCMCBCM001-TE000065
HCMCBCM001-TE000066
HCMCBCM001-TE000055
HCMCBCM001-TE000051
HCMCBCM001-TE000069
HCMCBCM001-TE000074
-381.35
-381.35
-340.888
-340.888
-301.82
-301.82
HCMCBCB001-TE000044
HCMCBCB001-TE000044
HCMCBCA001-TE000040
HCMCBCA001-TE000040
HCMCBCB001-TE000021
HCMCBCB001-TE000021
HCMCBCA001-TE000022
HCMCBCA001-TE000022
HCMCBCB001-TE000061
RCBCV7.L4B2
RCBCH7.L4B1
RCBCH7.R4B2
RCBCV7.R4B1
RCBCH8.R4B1
RCBCV8.R4B2
RCBCV9.R4B1
RCBCH9.R4B2
RCBCH10.R4B1
HCMCBCM001-TE000090
HCMCBCM001-TE000089
HCMCBCM001-TE000081
HCMCBCM001-TE000082
HCMCBCM001-TE000044
HCMCBCM001-TE000043
HCMCBCM001-TE000045
HCMCBCM001-TE000046
HCMCBCM001-TE000123
-264.026
-264.026
268.334
268.334
307.395
307.395
347.857
347.857
386.925
HCMCBCB001-TE000061
RCBCV10.R4B2
HCMCBCM001-TE000124
386.925
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
HCMCBCB001-TE000017
HCMCBCB001-TE000017
HCMCBCA001-TE000048
HCMCBCA001-TE000048
RCBCH10.L5B1
RCBCV10.L5B2
RCBCH9.L5B2
RCBCV9.L5B1
HCMCBCM001-TE000034
HCMCBCM001-TE000039
HCMCBCM001-TE000097
HCMCBCM001-TE000098
-380.839
-380.839
-340.377
-340.377
HCMCBCB001-TE000006
HCMCBCB001-TE000006
HCMCBCA001-TE000038
HCMCBCA001-TE000038
HCMCBCB001-TE000033
HCMCBCB001-TE000033
HCMCBCA001-TE000030
HCMCBCA001-TE000030
HCMCBCA001-TE000042
HCMCBCA001-TE000042
HCMCBCB001-TE000043
HCMCBCB001-TE000043
RCBCH8.L5B1
RCBCV8.L5B2
RCBCH7.L5B2
RCBCV7.L5B1
RCBCV6.L5B2
RCBCH6.L5B1
RCBCH5.L5B2
RCBCV5.L5B1
RCBCV5.R5B2
RCBCH5.R5B1
RCBCV6.R5B1
RCBCH6.R5B2
HCMCBCM001-TE000011
HCMCBCM001-TE000014
HCMCBCM001-TE000077
HCMCBCM001-TE000078
HCMCBCM001-TE000067
HCMCBCM001-TE000068
HCMCBCM001-TE000062
HCMCBCM001-TE000061
HCMCBCM001-TE000085
HCMCBCM001-TE000086
HCMCBCM001-TE000087
HCMCBCM001-TE000088
-301.309
-301.309
-259.876
-259.876
-225.348
-225.348
-193.448
-193.448
199.532
199.532
231.432
231.432
HCMCBCA001-TE000052
HCMCBCA001-TE000052
HCMCBCB001-TE000023
HCMCBCB001-TE000023
HCMCBCA001-TE000028
HCMCBCA001-TE000028
HCMCBCB001-TE000053
RCBCV7.R5B2
RCBCH7.R5B1
RCBCH8.R5B2
RCBCV8.R5B1
RCBCH9.R5B1
RCBCV9.R5B2
RCBCV10.R5B1
HCMCBCM001-TE000106
HCMCBCM001-TE000105
HCMCBCM001-TE000048
HCMCBCM001-TE000047
HCMCBCM001-TE000057
HCMCBCM001-TE000058
HCMCBCM001-TE000107
267.812
267.812
306.884
306.884
347.346
347.346
386.414
IR 5
No
1
2
3
4
5
6
7
8
9
10
11
12
-5-
POSITION
HCMCBCB001-TE000053
RCBCH10.R5B2
HCMCBCM001-TE000108
386.414
IR 6
No
1
2
3
4
5
6
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
HCMCBCB001-TE000049
HCMCBCB001-TE000049
HCMCBCA001-TE000046
HCMCBCA001-TE000046
HCMCBCB001-TE000055
HCMCBCB001-TE000055
HCMCBCA001-TE000054
HCMCBCA001-TE000054
HCMCBCB001-TE000059
HCMCBCB001-TE000059
RCBCH10.L6B2
RCBCV10.L6B1
RCBCV9.L6B2
RCBCH9.L6B1
RCBCH8.L6B2
RCBCV8.L6B1
RCBCV8.R6B2
RCBCH8.R6B1
RCBCV9.R6B1
RCBCH9.R6B2
HCMCBCM001-TE000099
HCMCBCM001-TE000100
HCMCBCM001-TE000094
HCMCBCM001-TE000093
HCMCBCM001-TE000111
HCMCBCM001-TE000112
HCMCBCM001-TE000109
HCMCBCM001-TE000110
HCMCBCM001-TE000118
HCMCBCM001-TE000120
POSITION
-381.35
-381.35
-340.888
-340.888
-301.82
-301.82
307.395
307.395
347.857
347.857
HCMCBCA001-TE000050
RCBCV10.R6B2
HCMCBCM001-TE000102
386.925
HCMCBCA001-TE000050
RCBCH10.R6B1
HCMCBCM001-TE000101
386.925
IR 7
No
1
2
3
4
5
6
7
8
9
10
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
POSITION
HCMCBCC001-TE000077
HCMCBCC001-TE000077
HCMCBCD001-TE000051
HCMCBCD001-TE000051
HCMCBCC001-TE000074
HCMCBCC001-TE000074
HCMCBCD001-TE000081
HCMCBCD001-TE000081
HCMCBCA001-TE000085
HCMCBCA001-TE000085
HCMCBCB001-TE000086
HCMCBCB001-TE000086
RCBCV10.L7B2
RCBCH10.L7B1
RCBCH9.L7B2
RCBCV9.L7B1
RCBCV8.L7B2
RCBCH8.L7B1
RCBCH7.L7B2
RCBCV7.L7B1
RCBCV6.L7B2
RCBCH6.L7B1
RCBCH6.R7B2
RCBCV6.R7B1
HCMCBCM001-TE000163
HCMCBCM001-TE000164
HCMCBCM001-TE000103
HCMCBCM001-TE000104
HCMCBCM001-TE000147
HCMCBCM001-TE000150
HCMCBCM001-TE000156
HCMCBCM001-TE000157
HCMCBCM001-TE000173
HCMCBCM001-TE000172
HCMCBCM001-TE000175
HCMCBCM001-TE000174
-380.82
-380.82
-340.299
-340.299
-301.29
-301.29
-262.225
-262.225
-223.675
-223.675
233.534
233.534
HCMCBCC001-TE000034
HCMCBCC001-TE000034
HCMCBCD001-TE000039
HCMCBCD001-TE000039
HCMCBCC001-TE000062
HCMCBCC001-TE000062
HCMCBCD001-TE000031
RCBCH7.R7B1
RCBCV7.R7B2
RCBCV8.R7B1
RCBCH8.R7B2
RCBCV9.R7B2
RCBCH9.R7B1
RCBCV10.R7B1
HCMCBCM001-TE000070
HCMCBCM001-TE000071
HCMCBCM001-TE000080
HCMCBCM001-TE000079
HCMCBCM001-TE000126
HCMCBCM001-TE000125
HCMCBCM001-TE000064
267.838
267.838
306.903
306.903
347.424
347.424
386.433
HCMCBCD001-TE000031
RCBCH10.R7B2
HCMCBCM001-TE000063
386.433
IR 8
No
1
2
3
4
5
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
HCMCBCB001-TE000004
HCMCBCB001-TE000004
HCMCBCA001-TE000005
HCMCBCA001-TE000005
HCMCBCB001-TE000002
HCMCBCB001-TE000002
RCBCH10.L8B2
RCBCV10.L8B1
RCBCH9.L8B1
RCBCV9.L8B2
RCBCV8.L8B1
RCBCH8.L8B2
HCMCBCM001-TE000008
HCMCBCM001-TE000007
HCMCBCM001-TE000010
HCMCBCM001-TE000009
HCMCBCM001-TE000004
HCMCBCM001-TE000003
-370.13
-370.13
-329.668
-329.668
-290.6
-290.6
HCMCBCA001-TE000003
HCMCBCA001-TE000003
HCMCBCA001-TE000007
RCBCV7.L8B2
RCBCH7.L8B1
RCBCV6.L8B1
HCMCBCM001-TE000005
HCMCBCM001-TE000006
HCMCBCM001-TE000013
-249.167
-249.167
-235.207
-6-
POSITION
6
7
8
9
10
11
12
13
HCMCBCA001-TE000007
HCMCBCB001-TE000015
HCMCBCB001-TE000015
HCMCBCA001-TE000014
HCMCBCA001-TE000014
HCMCBCB001-TE000012
HCMCBCB001-TE000012
HCMCBCA001-TE000009
HCMCBCA001-TE000009
HCMCBCA001-TE000013
HCMCBCA001-TE000013
RCBCH6.L8B2
RCBCHS5.L8B1
RCBCVS5.L8B2
RCBCHS5.L8B2
RCBCVS5.L8B1
RCBCV5.L8B2
RCBCH5.L8B1
RCBCV6.R8B2
RCBCH6.R8B1
RCBCH7.R8B2
RCBCV7.R8B1
HCMCBCM001-TE000015
HCMCBCM001-TE000030
HCMCBCM001-TE000031
HCMCBCM001-TE000029
HCMCBCM001-TE000028
HCMCBCM001-TE000024
HCMCBCM001-TE000025
HCMCBCM001-TE000019
HCMCBCM001-TE000018
HCMCBCM001-TE000026
HCMCBCM001-TE000022
-235.207
-175.742
-175.742
-174.595
-174.595
-173.449
-173.449
238.794
238.794
279.543
279.543
HCMCBCB001-TE000008
HCMCBCB001-TE000008
HCMCBCA001-TE000060
HCMCBCA001-TE000060
HCMCBCB001-TE000029
RCBCV8.R8B2
RCBCH8.R8B1
RCBCV9.R8B1
RCBCH9.R8B2
RCBCV10.R8B2
HCMCBCM001-TE000016
HCMCBCM001-TE000017
HCMCBCM001-TE000121
HCMCBCM001-TE000122
HCMCBCM001-TE000060
318.615
318.615
359.077
359.077
398.145
HCMCBCB001-TE000029
RCBCH10.R8B1
HCMCBCM001-TE000059
398.145
Table V. Position of the MCBY in the insertions.
IR1
No
1
2
3
4
5
6
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
POSITION
HCMCBYB001-TE000014
HCMCBYB001-TE000014
HCMCBYA001-TE000011
HCMCBYA001-TE000011
HCMCBYB001-TE000016
HCMCBYB001-TE000016
HCMCBYA001-TE000029
HCMCBYA001-TE000029
HCMCBYB001-TE000028
HCMCBYB001-TE000028
HCMCBYA001-TE000026
RCBYH4.L1B1
RCBYV4.L1B2
RCBYHS4.L1B2
RCBYVS4.L1B1
RCBYVS4.L1B2
RCBYHS4.L1B1
RCBYVS4.R1B1
RCBYHS4.R1B2
RCBYVS4.R1B2
RCBYHS4.R1B1
RCBYH4.R1B2
HCMCBYM001-TE000026
HCMCBYM001-TE000031
HCMCBYM001-TE000025
HCMCBYM001-TE000024
HCMCBYM001-TE000034
HCMCBYM001-TE000035
HCMCBYM001-TE000060
HCMCBYM001-TE000062
HCMCBYM001-TE000059
HCMCBYM001-TE000058
HCMCBYM001-TE000054
-167.031
-167.031
-165.735
-165.735
-164.439
-164.439
164.439
164.439
165.735
165.735
167.031
HCMCBYA001-TE000026
RCBYV4.R1B1
HCMCBYM001-TE000055
167.031
IR2
No
1
2
3
4
5
6
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
HCMCBYB001-TE000038
HCMCBYB001-TE000038
HCMCBYA001-TE000036
HCMCBYA001-TE000036
HCMCBYB001-TE000037
HCMCBYB001-TE000037
HCMCBYB001-TE000034
HCMCBYB001-TE000034
HCMCBYA001-TE000035
HCMCBYA001-TE000035
HCMCBYB001-TE000033
HCMCBYB001-TE000033
RCBYVS5.L2B2
RCBYHS5.L2B1
RCBYHS5.L2B2
RCBYVS5.L2B1
RCBYV5.L2B2
RCBYH5.L2B1
RCBYV4.L2B1
RCBYH4.L2B2
RCBYVS4.L2B2
RCBYHS4.L2B1
RCBYVS4.L2B1
RCBYHS4.L2B2
HCMCBYM001-TE000079
HCMCBYM001-TE000080
HCMCBYM001-TE000078
HCMCBYM001-TE000077
HCMCBYM001-TE000076
HCMCBYM001-TE000075
HCMCBYM001-TE000070
HCMCBYM001-TE000071
HCMCBYM001-TE000074
HCMCBYM001-TE000072
HCMCBYM001-TE000068
HCMCBYM001-TE000069
-7-
POSITION
-175.75
-175.75
-174.604
-174.604
-173.457
-173.457
-135.243
-135.243
-134.096
-134.096
-132.95
-132.95
7
8
9
HCMCBYA001-TE000009
HCMCBYA001-TE000009
HCMCBYB001-TE000008
HCMCBYB001-TE000008
HCMCBYA001-TE000007
RCBYHS4.R2B1
RCBYVS4.R2B2
RCBYHS4.R2B2
RCBYVS4.R2B1
RCBYH4.R2B1
HCMCBYM001-TE000020
HCMCBYM001-TE000019
HCMCBYM001-TE000018
HCMCBYM001-TE000017
HCMCBYM001-TE000016
132.95
132.95
134.096
134.096
135.243
HCMCBYA001-TE000007
RCBYV4.R2B2
HCMCBYM001-TE000013
135.243
IR4
No
1
2
3
4
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
HCMCBYA001-TE000015
HCMCBYA001-TE000015
HCMCBYB001-TE000019
HCMCBYB001-TE000019
HCMCBYB001-TE000012
HCMCBYB001-TE000012
RCBYH6.L4B2
RCBYV6.L4B1
RCBYH5.L4B1
RCBYV5.L4B2
RCBYH5.R4B2
RCBYV5.R4B1
HCMCBYM001-TE000032
HCMCBYM001-TE000033
HCMCBYM001-TE000041
HCMCBYM001-TE000040
HCMCBYM001-TE000030
HCMCBYM001-TE000027
POSITION
-167.273
-167.273
-130.273
-130.273
130.273
130.273
HCMCBYB001-TE000010
RCBYV6.R4B2
HCMCBYM001-TE000021
171.967
HCMCBYB001-TE000010
RCBYH6.R4B1
HCMCBYM001-TE000022
171.967
IR5
No
1
2
3
4
5
6
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
POSITION
HCMCBYB001-TE000017
HCMCBYB001-TE000017
HCMCBYA001-TE000013
HCMCBYA001-TE000013
HCMCBYB001-TE000018
HCMCBYB001-TE000018
HCMCBYA001-TE000022
HCMCBYA001-TE000022
HCMCBYB001-TE000021
HCMCBYB001-TE000021
HCMCBYA001-TE000020
RCBYV4.L5B2
RCBYH4.L5B1
RCBYVS4.L5B1
RCBYHS4.L5B2
RCBYVS4.L5B2
RCBYHS4.L5B1
RCBYHS4.R5B2
RCBYVS4.R5B1
RCBYVS4.R5B2
RCBYHS4.R5B1
RCBYV4.R5B1
HCMCBYM001-TE000037
HCMCBYM001-TE000036
HCMCBYM001-TE000028
HCMCBYM001-TE000029
HCMCBYM001-TE000039
HCMCBYM001-TE000038
HCMCBYM001-TE000047
HCMCBYM001-TE000044
HCMCBYM001-TE000045
HCMCBYM001-TE000046
HCMCBYM001-TE000043
-167.031
-167.031
-165.735
-165.735
-164.439
-164.439
164.439
164.439
165.735
165.735
167.031
HCMCBYA001-TE000020
RCBYH4.R5B2
HCMCBYM001-TE000042
167.031
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
HCMCBYA001-TE000023
HCMCBYA001-TE000023
HCMCBYB001-TE000024
HCMCBYB001-TE000024
HCMCBYA001-TE000025
HCMCBYA001-TE000025
HCMCBYB001-TE000027
RCBYV5.L6B2
RCBYH5.L6B1
RCBYV4.L6B1
RCBYH4.L6B2
RCBYV4.R6B2
RCBYH4.R6B1
RCBYH5.R6B2
HCMCBYM001-TE000049
HCMCBYM001-TE000048
HCMCBYM001-TE000050
HCMCBYM001-TE000051
HCMCBYM001-TE000053
HCMCBYM001-TE000052
HCMCBYM001-TE000057
-205.853
-205.853
-169.453
-169.453
174.147
174.147
210.547
HCMCBYB001-TE000027
RCBYV5.R6B1
HCMCBYM001-TE000056
210.547
IR6
No
1
2
3
4
POSITION
IR8
No
1
2
3
ASSEMBLY_ID
CIRCUIT_NAME
MODULE_ID
HCMCBYB001-TE000001
HCMCBYB001-TE000001
HCMCBYA001-TE000002
HCMCBYA001-TE000002
HCMCBYB001-TE000003
HCMCBYB001-TE000003
RCBYH4.L8B2
RCBYV4.L8B1
RCBYVS4.L8B2
RCBYHS4.L8B1
RCBYHS4.L8B2
RCBYVS4.L8B1
HCMCBYM001-TE000003
HCMCBYM001-TE000002
HCMCBYM001-TE000005
HCMCBYM001-TE000004
HCMCBYM001-TE000006
HCMCBYM001-TE000007
-8-
POSITION
-135.243
-135.243
-134.096
-134.096
-132.95
-132.95
4
5
6
6
7
8
HCMCBYA001-TE000031
HCMCBYA001-TE000031
HCMCBYB001-TE000032
HCMCBYB001-TE000032
HCMCBYA001-TE000030
HCMCBYA001-TE000030
HCMCBYA001-TE000004
HCMCBYA001-TE000004
HCMCBYB001-TE000005
HCMCBYB001-TE000005
RCBYHS4.R8B1
RCBYVS4.R8B2
RCBYHS4.R8B2
RCBYVS4.R8B1
RCBYV4.R8B2
RCBYH4.R8B1
RCBYH5.R8B2
RCBYV5.R8B1
RCBYVS5.R8B2
RCBYHS5.R8B1
HCMCBYM001-TE000064
HCMCBYM001-TE000065
HCMCBYM001-TE000066
HCMCBYM001-TE000067
HCMCBYM001-TE000061
HCMCBYM001-TE000063
HCMCBYM001-TE000012
HCMCBYM001-TE000009
HCMCBYM001-TE000011
HCMCBYM001-TE000010
132.95
132.95
134.096
134.096
135.243
135.243
173.464
173.464
174.61
174.61
HCMCBYA001-TE000006
RCBYVS5.R8B1
HCMCBYM001-TE000015
175.757
HCMCBYA001-TE000006
RCBYHS5.R8B2
HCMCBYM001-TE000014
175.757
Circuits: MCBC and MCBY modules are individually powered by electrical circuits whose
names are as the magnet type, where M is replaced by R (i.e., RCBCH is the circuit of
MCBCH, and so on).
3. Measurements
3.1 ROOM TEMPERATURE MAGNETIC MEASUREMENTS
Device: Modules were measured at TESLA before being assembled in the twin-aperture
support structure. The first requirement of the WMM system (the second generation of
CIMM) was the determination of the distance between geometrical and magnetic centre. For
this reason, modules under test were placed vertically in the CIMM and carefully positioned
with respect to some geometrical references. Field strength, orientation and harmonics were
measured using four measuring coils of 258 mm each in series in order to cover entirely the
module length. As the tolerances given on the harmonics are larger than for the other LHC
magnets, the CIMM is equipped with a single tangential coil; no compensation signal is
therefore present for the determination of higher harmonics (see Fig. 2) [2].TESLA did not
send the data relative to each measuring coil, but only the integral harmonics, which are
expressed w.r.t. the geometrical centre normalised to the current of 1 A. Harmonics are not
normalized w.r.t. the main harmonic. Some important values were omitted in the final result
file, such as the phase of the main harmonics and the position of the magnetic centre.
Fig. 2: The CIMM: Geometrical vs magnetic centre (left), position of the measuring coil w.r.t the MCB module
(middle), the measuring tangential coil (right)
-9-
Data stored in REFHARM: Measurements coming from TESLA have required several
transformations to conform to the field error naming conventions for LHC magnets [4] and to
the LHC magnet polarities convention [5], such as:
1. The harmonic normalisation with respect to the magnetic centre and to the main
harmonic (taking into account angular offset and transformation of the harmonics in
units). Dipoles magnets were normalized zeroing the (b12, a12) multipoles.
2. The special treatment for modules measured from the ‘non-connection’ side or using
the ‘spare coil’ (see Fig. 3, right) of CIMM.
3. Taking into account the different settings that were modified over time, such as the
CIMM reference axes and the change of rotation direction for the measuring coils (see
the example shown in Fig. 4).
4. Different treatment for modules according to their position inside the support
structure. Modules at the left side are mounted differently w.r.t. to the modules to the
right (see Fig. 5) according to what shown in Table V.
Fig. 3: Position of the MCBC / MCBY w.r.t. the transverse reference and rotation sense of the measuring bench
at two different dates.
Fig. 4: Position of the MCBC / MCBY modules in the twin-aperture support structure seen from the connection
side.
Table V: Position of the modules in the support structure.
- 10 -
Corrector
type
M odule
Rotation
(degree)
Left
Rigth
Left
Rigth
M CBCA
M CBCV (L)
M CBCH(R )
270
0
M CBCB
M CBCH (L)
M CBCV(R )
180
270
M CBCC
M CBCV (L)
M CBCH(R )
270
0
M CBCD
M CBCH (L)
M CBCV(R )
180
270
M CBYA
M CBV (L)
M CBH (R )
270
0
M CBYB
M CBH (L)
M CBV (R )
180
270
Available and missing measurements: 233 MCBC modules over 168 installed in the tunnel
and 114 MCBY modules over 76 were measured at room temperature. 16 MCBC and 6
MCBY modules at the beginning of the production have been installed into the tunnel without
magnetic measurements (see Table VI).
Some data were rejected, being clearly unrealistic, i.e., the main field strength or phase for
modules given in Table VII; in this case, for the field strength the average value of all
modules of the same type was stored in REFHARM (for field strength), or zero for the phase.
Use of the measurements in FiDeL: Room temperature measurements of the TF are
extrapolated at 1.9 K to have a cross-check of measurements at 1.9 K, but they are not used
directly in FiDeL. They also give an indication about the spread of the TF from magnet to
magnet. The field harmonics values are used to verify that they can be neglected in FiDeL.
Table VI: MCBC & MCBY modules installed into the tunnel without room temperature measurements.
M CBM M odules
M CBY M odules
HCM CBCM 001-TE000003
HCM CBYM 001-TE000002
HCM CBCM 001-TE000004
HCM CBYM 001-TE000003
HCM CBCM 001-TE000005
HCM CBYM 001-TE000004
HCM CBCM 001-TE000006
HCM CBYM 001-TE000005
HCM CBCM 001-TE000007
HCM CBYM 001-TE000006
HCM CBCM 001-TE000008
HCM CBYM 001-TE000007
HCM CBCM 001-TE000009
HCM CBCM 001-TE000010
HCM CBCM 001-TE000011
HCM CBCM 001-TE000013
HCM CBCM 001-TE000014
HCM CBCM 001-TE000015
HCM CBCM 001-TE000016
HCM CBCM 001-TE000017
HCM CBCM 001-TE000018
HCM CBCM 001-TE000019
Table VII: MCBC & MCBY modules whose measurements of the main field has been rejected.
- 11 -
M CBC
M ain field strength
M CBY
M ain field phase
M ain field strength
M ain field phase
HCM CBCM 001-TE000170 HCM CBCM 001-TE000188 HCM CBYM 001-TE000009 HCM CBYM 001-TE000009
HCM CBCM 001-TE000084 HCM CBCM 001-TE000072 HCM CBYM 001-TE000060
HCM CBCM 001-TE000083
HCM CBYM 001-TE000061
HCM CBYM 001-TE000065
3.1 MAGNETIC MEASUREMENTS AT 1.9 K
Devices: Two different devices were used for 1.9 K magnetic measurements. Some modules
were measured before assembly using the bench test used for the LHC dipole short models in
Block4. The vertical cryostat is designed to test magnets long up to 2.1 m: therefore up to
three modules mounted on top of each other could be tested in parallel using a dedicated
suspension support. The measuring coils are made of 5 identical coplanar coils adjacent to
each other, the central one being centred on the rotating axis. The measuring shaft used for the
1.9 K measurements comprises four coil assemblies in series, each with effective length of 0.2
m [3]. One module of MCBY was measured in SM18 after assembly, during the test of the
SSS. These tests imply a high level of complexity in the test facility, which required its own
specific infrastructure, from cryogenic feed boxes and high-current circuits to data acquisition
for measurement and control. More details about LHC magnet tests station can be found in
[4]. As the measuring coils were periodically calibrated in SM18, the transfer function coming
from measurements with this second system has a better precision (in the order of 1 per mil).
The samples were not all measured in the same conditions and, in particular, the currents
values were different: some samples were not measured up to the nominal current and
correctors tested in SM18 were measured using only a few currents. Therefore, in order to
compare measurements, the first step was to build two reference curves unique for all samples
of each class with current values from zero to the nominal value of 100 A, following the
cycles as shown in Fig. 5 (left) for MCBC. Oddly, no module was measured to the nominal
value of -100 A. The reference current cycle for MCBY is shown in Fig. 5 (right). In this case,
one sample was measured to a current bigger than the nominal one, i.e. up to 88 A.
150
100
80
60
40
50
Time
0
Current [A]
Current [A]
100
20
0
Time
-20
-40
-50
-60
-100
-100
-80
Fig. 5: Reference current cycle used for MCBC (left) and MCBY (right) in the short models test bench
Available and missing measurements: Three MCBC modules were measured at 1.9 K, of
which one was measured twice using the bench test used for the LHC dipole short models.
Three MCBY modules have been measured at 1.9 K, and in this case too, one module has
been measured twice. One fourth module was measured in SM18. In this case, only the
assembly name was recorded on the result file; therefore an ambiguity exists on the actual
module measured. The summary is given in Table VIII.
- 12 -
Table VIII: List of the modules measured at 1.9 K. Modules in bold have been measured twice
MCBC
MCBY
Module id
tested at
Module id
Tested at
HCMCBCM001-TE000037
Block 4
HCMCBYM001-TE000034
Block 4
HCMCBCM001-TE000089
Block 4
HCMCBYM001-TE000041
Block 4
HCMCBCM001-TE000091
Block 4
HCMCBYM001-TE000044
Block 4
HCMCBYM001-TE000070 or
SM18
HCMCBYM001-TE000071
SM18
Use of the measurements in FiDeL: Measurements at 1.9 K are used to compute the
geometrical terms (linear transfer function) and the saturation, and to check the magnetization
component both for MCBC and MCBY.
4. Transfer function
4.1 MCBC: GEOMETRIC
The average of the integrated transfer function measured at room temperature is 2.84210-2 T
m /A, with a spread of 20 units (see Table IX and Fig. 6), and that of the four measurements at
1.9 K is 2.86310-2 T m / A, with a standard deviation of 10 units. The difference between the
two measurements is ~1%, i.e. the usual absolute precision of measurements. The value
measured at 1.9 K is used as geometric term in REFPARM.
Table IX: Comparison of the transfer coefficients measured at room temperature and 1.9 K.
Numbers of measurements
Average (T m /A)
Stdev (units)
Measured at room
temperature
Measured at 1.9 K,
Block4
223
2.842E-02
4
2.863E-02
20
10
29.0
TF [mT m / A]
28.8
28.6
28.4
28.2
28.0
0
20
40
60
80 100 120 140 160 180 200 220 240
Module progressive number
Fig. 6: Integrated transfer function of MCBC measured at room temperature along the production
- 13 -
0.0296
0.0292
TF [Tm/A]
0.0288
0.0284
0.0280
0.0276
0.0272
-100
-50
0
Current [A]
50
100
Fig. 7: MCBC integrated transfer function versus current, averaged over measurements at 1.9 K
4.2 MCBC: SATURATION
The measurements at 1.9 K show a saturation effect of 3.5% which starts to be visible at 50 A
(Fig. 7). The saturation effect has therefore to be added to the geometric term in order to fit
the curve in Fig. 7. The fit is computed using the Erfc function:
𝜎𝑚
𝐼 − 𝐼0
𝑇𝐹 𝑠𝑎𝑡 = −
[1 + 𝑒𝑟𝑓 (𝑆
)]
2
𝐼𝑛𝑜𝑚
In Table X we give the resulting fit parameters and in Fig. 8 the measured TF with respect to
the calculated one. Finally, in Fig. 9 we plot the fit error as a function of current. The fit error
is within ±15 units.
Table X: FiDeL TF fit parameters for MCBC.
Parameter
g
s
I0
S
Inom
(T m/A)
(T m/A)
(A)
(adim)
(A)
- 14 -
Value
0.02863
0.00151
92.76
4.483
100
70
0.0286
0
0.0284
-70
0.0282
-140
0.0280
-210
Units
TF (T m/A)
0.0288
Measurements
FiDeL fit
0.0278
-280
0.0276
-350
0.0274
-420
0
20
40
60
80
Current (A)
100
120
Fig. 8: MCBC transfer function: FiDeL fit versus measured values
50
40
30
Error (units)
20
10
0
-10
-20
-30
-40
-50
0
20
40
60
80
100
120
Current (A)
Fig. 9: Error of the FiDeL fit, in units, for the MCBC transfer function.
4.3 MCBC: RESIDUAL MAGNETIZATION
The residual magnetization is ~1% at 5 A (see Fig. 7). It has been neglected.
4.4 MCBY: GEOMETRIC
The average integrated transfer function at room temperature is 3.24610-2 T m /A, with a
standard deviation of 21 units (see Table XI and Fig.10); for the four measurements at 1.9 K
in Block4 it is 3.2610-2 T m / A, with a standard deviation of 13 units. The sample measured
- 15 -
in SM18 has a transfer function of 3.25210-2 T m / A; therefore the difference between the
two series of measurements at 1.9 K is 0.24%. As the sample measured in SM18 was not
measured in Block 4, it is difficult to say if this difference is due to a calibration of the system
in Block 4 or if this difference is real and the sample measured in SM18 has effectively a
transfer function lower of those of the magnets measured in Block4. For this reason, we kept
the average of value measured in Block4 as geometrical term REFPARM. The difference
between the measurements at room temperature and 1.9 K is in the order of 0.4%. In general,
we can assess that the precision of our knowledge of the TF is better than 1%.
Table XI: Comparison of measurements of the geometric coefficient of the MCBY.
Measured at 1.9 K, Block4
Measured at 1.9 K, SM18
101
4
1
Average (T m /A)
3.2463E-02
3.2600E-02
3.2520E-02
Stdev (units)
21
13
TF [mT m/A]
Numbers of measurements
0.0327
30
0.0326
0
0.0325
-30
0.0324
-60
0.0323
TF (units)
Measured at r.t.
-90
0
20
40
60
Module progressive number
80
100
Fig. 10: MCBY Integrated transfer function measured at room temperature along the production.
450
3.35E-02
Block4
300
3.30E-02
SM18
150
3.25E-02
0
3.20E-02
-150
3.15E-02
-300
3.10E-02
-450
3.05E-02
-100
-600
-50
0
Current [A]
50
100
Fig. 11: MCBY Integrated transfer function versus current, averaged over measurements at 1.9 K.
- 16 -
TF (units)
TF [Tm/A]
3.40E-02
4.5 MCBY: SATURATION
Saturation starts to be visible at 40 A, reaching 3.5% at 72 A (see Fig. 11). The saturation for
the MCBY has been modelled following the method described in § 4.3. The computed fit
parameters are given in Table XII and the comparison between calculated values and the
measured TF at different currents are given in Fig. 12. Fig. 13 shows the fit error as a function
of current. As for the MCBC, the spread of the error of the fit is within ±15 units.
Table XII: FiDeL TF fit parameters for saturation (MCBY)
(T m/A)
(T m/A)
(A)
(adim)
(A)
Value
0.03260
0.00213
70.66
3.194
100
0.0328
62.5
0.0326
0
0.0324
-62.5
0.0322
-125
0.0320
-187.5
0.0318
-250
Measurements
0.0316
TF (units)
TF (T m/A)
Parameter
g
s
I0
S
Inom
-312.5
FiDeL fit
0.0314
-375
0.0312
-437.5
0.0310
-500
0
20
40
60
Current (A)
80
100
Fig. 12: Measured TF versus FiDeL fit for MCBY.
4.6 MCBY: RESIDUAL MAGNETIZATION
The residual magnetization is below 1% for currents larger than 5 A (see Fig. 11). It has been
neglected.
- 17 -
15
10
Error (units)
5
0
-5
-10
-15
-20
-25
0
10
20
30
40
50
60
Current (A)
Fig. 13: Relative fit errors (black line) for MCBY.
- 18 -
70
80
90
5. Field errors
Harmonics measured at room temperature are compared with the expected values based on
simulations, taking into account of the mechanical construction tolerances, and to the beam
dynamics targets fixed by the Field Quality Working Group in Table XIII and XIV. As the
MCBC and MCBY are correctors, field errors are not included in FiDeL.
Table XIII: Measured, expected and target field errors of the MCBC modules.
mesaured
measured
mechanical
mechanical
FQWG
FQWG
systematic
sigma
Inf. Lim.
Sup. Lim.
Inf. Lim.
Sup. Lim.
mod
28.433
1.2705
29.088
28.512
29.088
28.512
phase
0.106
2.4702
3.5
-3.5
0
0
systematic
sigma
systematic
sigma
systematic
sigma
10000
-
0
0
0
0
b2
-0.541
3.753
0
6.08
0
0
b3
-37.216
3.217
-0.68
4.64
0
0
b4
0.06
0.357
0
2.44
0
0
b5
-4.817
0.795
0.36
1.89
0
0
b6
0.011
0.071
0
1.05
0
0
b7
1.261
0.18
0.04
0.71
0
0
b8
-0.004
0.024
0
0.45
0
0
b9
1.506
0.072
0.49
0.21
0
0
b10
-0.008
0.011
0
0.16
0
0
b11
0.801
0.039
0.32
0.09
0
0
b12
-
-
0
0
0
0
b13
0.709
0.02
0
0
0
0
b14
0.004
0.005
0
0
0
0
b15
0.117
0.011
0
0
0
0
a1
-
-
0
0
0
0
a2
-2.221
4.206
0
6.08
0
0
a3
-1.854
1.061
1.83
4.64
0
0
a4
-0.193
0.783
0
2.44
0
0
a5
0.306
0.185
-0.14
1.89
0
0
a6
-0.033
0.229
0
1.05
0
0
a7
-0.08
0.054
0.07
0.71
0
0
a8
0.005
0.059
0
0.45
0
0
b1
a9
-0.031
0.031
-0.01
0.21
0
0
a10
0.001
0.014
0
0.16
0
0
a11
-0.014
0.035
0
0.09
0
0
a12
-
-
0
0
0
0
a13
-0.037
0.009
0
0
0
0
a14
0.001
0.004
0
0
0
0
a15
0.005
0.008
0
0
0
0
Xc
0
0.033
0
0.033
Yc
0
0.033
0
0.033
- 19 -
Table XIV: Measured, expected and target field errors of the MCBY modules.
mesaured
measured
mechanical
mechanical
FQWG
FQWG
systematic
sigma
Inf. Lim.
Sup. Lim.
Inf. Lim.
Sup. Lim.
mod
32.424
0.3965
32.623
31.977
32.623
31.977
phase
-0.101
2.2142
3.5
-3.5
0
0
systematic
sigma
systematic
sigma
systematic
sigma
b1
10000
0
0
0
0
0
b2
-0.758
2.056
0
2.23
0
0
b3
-30.197
2.314
-0.28
1.35
0
0
b4
0.042
0.21
0
0.7
0
0
b5
-1.308
0.507
0
0.34
0
0
b6
0.01
0.029
0
0.18
0
0
b7
0.216
0.092
0.05
0.09
0
0
b8
-0.001
0.006
0
0.04
0
0
b9
-0.02
0.143
0.08
0.02
0
0
b10
-0.001
0.002
0
0.01
0
0
b11
0.127
0.062
0.05
0
0
0
b12
0
0
0
0
0
0
b13
0.053
0.06
0
0
0
0
b14
0
0.001
0
0
0
0
b15
0.008
0.008
0
0
0
0
a1
0
0
0
0
0
0
a2
-0.408
3.094
0
2.23
0
0
a3
-1.366
0.926
0.84
1.35
0
0
a4
0.078
0.417
0
0.7
0
0
a5
0.158
0.09
-0.06
0.34
0
0
a6
0.026
0.125
0
0.18
0
0
a7
-0.032
0.019
0.02
0.09
0
0
a8
0.007
0.024
0
0.04
0
0
a9
0.009
0.011
0
0.02
0
0
a10
0
0.003
0
0.01
0
0
a11
-0.004
0.006
0
0
0
0
a12
0
0
0
0
0
0
a13
-0.003
0.003
0
0
0
0
a14
0
0.002
0
0
0
0
a15
0
0.002
0
0
0
0
Xc
0
0.033
0
0.033
Yc
0
0.033
0
0.033
5. Summary and critical issues




The TF of the MCBC and MCBY is known within 1%: this is the agreement between
the two 1.9 K measurements and room temperature measurements.
The saturation is about 3% (MCBC) and 5% (MCBY) at nominal and has been
modelled in FiDeL. It starts to be relevant at 80 A (MCBC) and 40 A (MCBY).
The residual magnetization is smaller than 1% above 5 A. It is not modelled in FiDeL.
Even though most of the magnets are operated below 5 A at injection, experience with
operation in 2010 has shown no issues.
Some MCBY are operated at 50 A, 3.5 TeV. These settings are not applicable at 7
TeV since the nominal current is 72 A.
- 20 -
Acknowledgements
We wish to acknowledge R. Wolf for evaluating the FiDeL fit parameters used for the 2008
start-up, and W. Venturini Delsolaro, in charge of Block4 test station during the magnet
production.
References
[1] O. Bruning, et al., eds, “LHC Design report”, CERN 2004-003 (2004).
[2] C. Giloux, et al., “Qualification of the LHC corrector magnet production with the
CERN-built measurement benches”, IEEE Trans. Appl. Supercond. 18 (2008) 121,
and LHC Project Report 1088 (2008).
[3] R. Wolf, “Field error naming conventions for LHC magnets – Engineering
specification”, CERN EDMS 90250 (2001).
[4] P. Proudlock, S. Russenschuck, M. Zerlauth, “LHC magnet polarites – Engineering
specification”, CERN EDMS 90041 (2004).
[5] Z. Ang, et al., “Measurements of the LHC corrector magnets at room and cryogenic
temperatures”, European Particle Accelerator Conference (1998) 2044, and LHC
Project Report 201.
- 21 -