field quality in correctors: episode iii

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Field quality in correctors: Episode III Update on warm magnetic measurements of lattice correctors V. Remondino MEL FQWG 3/5 2005, V. Remondino AT/MEL

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MEL. Field quality in correctors: Episode III. Update on warm magnetic measurements of lattice correctors V. Remondino. FQWG 3/5 2005, V. Remondino AT/MEL. MEL. Introduction. As only lattice correctors are concerned, we do not consider MCDOs & MCSs (~3700 magnets) - PowerPoint PPT Presentation

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Page 1: Field quality in correctors: Episode III

Field quality in correctors: Episode III

Update on warm magnetic measurements of lattice correctors

V. Remondino

MEL

FQWG 3/5 2005, V. Remondino AT/MEL

Page 2: Field quality in correctors: Episode III

FQWG 3/5 2005, V. Remondino AT/MEL

MEL

2

Introduction As only lattice correctors are concerned, we do not

consider MCDOs & MCSs (~3700 magnets) Reminder: we measure modules and not the final

correctors Only data stored in MTF (Oracle WMM table ) are

taken into account (no preliminary data from modules approval)

We concentrate mainly on the dispersion of the Transfer Functions for the SSS correctors

MEL

Page 3: Field quality in correctors: Episode III

FQWG 3/5 2005, V. Remondino AT/MEL

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3

MOs: Transfer FunctionBound Parameters (from Expected field quality of the LHC correctors magnets LHC note of 98-08-20 M. Allitt)

Systematic550 A

B4 Tm 0.097 0 0 ±1%

MO Landau damping

1σ (uncertainty)3σ

(random)Limit (module)

289 modules analyzed

Page 4: Field quality in correctors: Episode III

FQWG 3/5 2005, V. Remondino AT/MEL

MEL

4

MOs: Transfer Function

0.174

0.175

0.176

0.177

0.178

0.179

0.18

0.181

0.182

0.183

8

16

25

32

40

47

56

63

72

80

87

96

10

6

11

6

12

4

13

4

14

2

15

1

15

8

16

5

17

2

18

1

18

8

19

7

20

4

21

4

22

2

23

1

24

0

24

8

26

2

27

0

27

9

28

8

29

5

30

3

31

2

32

2

33

1

34

6

35

8

37

4

modulus

Bound Parameters (from Expected field quality of the LHC correctors magnets LHC note of 98-08-20 M. Allitt)

Systematic550 A

B4 Tm 0.097 0 0 ±1%

MO Landau damping

1σ (uncertainty)3σ

(random)Limit (module)

Page 5: Field quality in correctors: Episode III

FQWG 3/5 2005, V. Remondino AT/MEL

MEL

5

MOs: Transfer Function

0.174

0.175

0.176

0.177

0.178

0.179

0.18

0.181

0.182

0.183

8

16

25

32

40

47

56

63

72

80

87

96

10

6

11

6

12

4

13

4

14

2

15

1

15

8

16

5

17

2

18

1

18

8

19

7

20

4

21

4

22

2

23

1

24

0

24

8

26

2

27

0

27

9

28

8

29

5

30

3

31

2

32

2

33

1

34

6

35

8

37

4

modulus

Bound Parameters (from Expected field quality of the LHC correctors magnets LHC note of 98-08-20 M. Allitt)

Systematic550 A

B4 Tm 0.097 0 0 ±1%

MO Landau damping

1σ (uncertainty)3σ

(random)Limit (module)

0

20

40

60

80

100

120

140

160

180

0.17 0.175 0.18 0.185 0.19

Mean= 0.18Standard deviation=0.0005Target value= 0.1764

[mT/A]

freq

uen

cy

Mod

= 0.27 %

Page 6: Field quality in correctors: Episode III

FQWG 3/5 2005, V. Remondino AT/MEL

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6

MOs: Histograms (phase & alignment)

0

5

10

15

20

25

30

-4 -3 -2 -1 0 1 2 3 4

Mean= 0.131Standard deviation=1.015Target value= 0

[mrad]

freq

uen

cy

Phase

0

5

10

15

20

25

30

35

-0.15 -0.1 -0.05 0 0.05 0.1 0.15

Mean= -0.01Standard deviation=0.037Target value= 0

[mm]

freq

uen

cy

Xc

0

5

10

15

20

25

30

35

-0.15 -0.1 -0.05 0 0.05 0.1 0.15

Mean= 0.024Standard deviation=0.033Target value= 0

[mm]

freq

uen

cy

Yc

Page 7: Field quality in correctors: Episode III

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7

MOs: Normal Harmonics

-70

-50

-30

-10

10

30

50

70

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

-5

5

15

25

35

45

55

65

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

Page 8: Field quality in correctors: Episode III

FQWG 3/5 2005, V. Remondino AT/MEL

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8

MOs: B1

-150

-100

-50

0

50

100

150

200

8 17 27 35 44 54 62 72 81 89 99 113

122

133

142

152

160

168

177

186

196

204

215

225

235

244

259

269

279

289

297

307

316

329

345

358

375

381

389

397

408

417

b1 - systematic

Modules in Fast-Track included

Page 9: Field quality in correctors: Episode III

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9

MOs: Normal HarmonicsMOs:

-70

-50

-30

-10

10

30

50

70

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

-5

5

15

25

35

45

55

65

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

0

10

20

30

40

50

60

-150 -100 -50 0 50 100 150 200

Mean= 17.775Standard deviation=39.645Target value= 0

[units]

freq

uen

cy

b1

0

10

20

30

40

50

60

70

-300 -200 -100 0 100 200 300

Mean= 36.318Standard deviation=59.941Target value= 0

[units]

freq

uen

cy

b2

Page 10: Field quality in correctors: Episode III

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10

MOs: Skew Harmonics

-40

-30

-20

-10

0

10

20

30

40

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

-5

5

15

25

35

45

55

65

75

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

Page 11: Field quality in correctors: Episode III

FQWG 3/5 2005, V. Remondino AT/MEL

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11

MOs: Skew Harmonics

-40

-30

-20

-10

0

10

20

30

40

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

-5

5

15

25

35

45

55

65

75

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

0

10

20

30

40

50

60

-300 -200 -100 0 100 200 300

Mean= -1.086Standard deviation=56.036Target value= 0

[units]

freq

uen

cy

a2

0

5

10

15

20

25

30

35

40

45

50

-200 -150 -100 -50 0 50 100 150 200

Mean= -22.225Standard deviation=30.638Target value= 15.6

[units]

freq

uen

cy

a5

Page 12: Field quality in correctors: Episode III

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12

MOs: Summary

mesaured measured mechanicalmechanicalFQWG FQWGsystematicsigma Sup. Lim. Inf. Lim. Sup. Lim. Inf. Lim. systematicsigma systematicsigma systematicsigma

mod 0.1800 0.0005 0.178127 0.1746 0.178127 0.1746 a1 4.761 44.712 0 16.9 0 67.1phase 0.131 1.015 3.5 -3.5 3.5 -3.5 a2 -1.086 56.036 0 25.9 0 0

systematicsigma systematicsigma systematicsigma a3 0 0 0 0 0 0

b1 17.775 39.645 0 16.9 0 0 a4 0 0 0 0 0 0b2 36.318 59.941 0 25.9 0 0 a5 -22.225 30.638 0 10.7 15.6 48.5b3 0 0 0 0 0 0 a6 -1.171 9.651 0 5 31.7 39.7b4 9999.999 0.003 0 0 0 0 a7 -0.229 4.611 0 1.9 6.4 13.7b5 -5.33 32.989 0 10.6 15.6 48.5 a8 0.203 5.118 -0.95 0.87 0 23.6b6 -2.697 9.052 0 5 -64.2 57.3 a9 -0.187 1.191 0 0.52 0 40.7b7 -2.506 4.179 0 1.9 6.4 13.7 a10 -0.167 0.505 0 0.31 0 35.1b8 1.223 1.999 0 0.68 7.1 23.6 a11 -0.191 0.303 0 0.13 0 23.8b9 0.678 1.16 0 0.52 0 40.7 a12 0.03 0.113 0 0 0 0b10 0.132 0.541 0 0.31 -20.1 35.1 a13 0.057 0.099 0 0 0 0b11 0.054 0.339 0 0.13 0 23.8 a14 0.004 0.059 0 0 0 0b12 0.23 0.491 0.63 0.06 0 0 a15 0.008 0.038 0 0 0 0

b13 0.041 0.104 0 0 0 0 Xc -0.01 0.037 0 0.033 0 0.033b14 0.012 0.061 0 0 0 0 Yc 0.024 0.033 0 0.033 0 0.033b15 -0.037 0.041 0 0 0 0 Correctors : 289

Page 13: Field quality in correctors: Episode III

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13

MSMs: Transfer Function55 A 550 A

B3 Tm 0.047 0.471 14.6 43.81

MS SextupoleSystematic (assembly)

1σ (uncertainty)3σ

(random)441 modules analyzed

0.84

0.85

0.86

0.87

0.88

0.89

0.9

0.91

0.92

7

25

35

47

59

91

10

8

12

0

13

0

14

1

15

1

16

2

17

2

18

2

19

2

20

6

21

6

22

6

23

6

24

6

26

3

27

4

28

4

29

4

30

4

31

5

32

5

33

5

34

5

35

6

36

6

37

6

38

6

39

7

40

7

41

7

42

7

43

8

44

8

45

8

46

8

47

8

48

8

49

9

52

4

modulus

Page 14: Field quality in correctors: Episode III

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14

MSMs: Transfer Function55 A 550 A

B3 Tm 0.047 0.471 14.6 43.81

MS SextupoleSystematic (assembly)

1σ (uncertainty)3σ

(random)441 modules analyzed

0.84

0.85

0.86

0.87

0.88

0.89

0.9

0.91

0.92

7

25

35

47

59

91

10

8

12

0

13

0

14

1

15

1

16

2

17

2

18

2

19

2

20

6

21

6

22

6

23

6

24

6

26

3

27

4

28

4

29

4

30

4

31

5

32

5

33

5

34

5

35

6

36

6

37

6

38

6

39

7

40

7

41

7

42

7

43

8

44

8

45

8

46

8

47

8

48

8

49

9

52

4

modulus

0

20

40

60

80

100

120

0.84 0.85 0.86 0.87 0.88 0.89 0.9 0.91 0.92

Mean= 0.904Standard deviation=0.003Target value= 0.8545

[mT/A]

freq

uen

cy

Mod

= 0.33 %

Page 15: Field quality in correctors: Episode III

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15

MSMs: Histograms (phase & alignment)

0

10

20

30

40

50

60

70

80

90

100

-15 -10 -5 0 5 10

Mean= 0.257Standard deviation=1.895Target value= 0

[mrad]

freq

uen

cy

Phase

0

10

20

30

40

50

60

70

80

90

-0.3 -0.25 -0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2

Mean= -0.007Standard deviation=0.046Target value= 0

[mm]

freq

uen

cy

Xc

0

10

20

30

40

50

60

70

80

-0.25 -0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15

Mean= -0.006Standard deviation=0.049Target value= 0

[mm]

freq

uen

cy

Yc

Page 16: Field quality in correctors: Episode III

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16

MSMs: Normal Harmonics

-10

-8

-6

-4

-2

0

2

4

6

8

10

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

-10

-5

0

5

10

15

20

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

Page 17: Field quality in correctors: Episode III

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17

MSMs: Normal Harmonics

-10

-8

-6

-4

-2

0

2

4

6

8

10

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

-10

-5

0

5

10

15

20

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

0

10

20

30

40

50

60

70

80

90

-80 -60 -40 -20 0 20 40 60 80 100

Mean= 2.088Standard deviation=19.785Target value= 0

[units]

freq

uen

cy

b1

0

10

20

30

40

50

60

70

-60 -40 -20 0 20 40 60

Mean= 2.57Standard deviation=13.913Target value= 1.3

[units]

freq

uen

cy

b4

0

10

20

30

40

50

60

70

80

-15 -10 -5 0 5 10 15

Mean= -3.852Standard deviation=0.798Target value= 0

[units]

freq

uen

cy

b9

Page 18: Field quality in correctors: Episode III

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18

MSMs: Skew Harmonics

-6

-4

-2

0

2

4

6

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

-5

0

5

10

15

20

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

Page 19: Field quality in correctors: Episode III

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19

MSMs: Skew Harmonics

-6

-4

-2

0

2

4

6

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

-5

0

5

10

15

20

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

0

10

20

30

40

50

60

70

80

90

-120 -100 -80 -60 -40 -20 0 20 40 60

Mean= -1.749Standard deviation=20.352Target value= 0

[units]

freq

uen

cy

a1

0

10

20

30

40

50

60

70

80

90

-60 -40 -20 0 20 40 60 80

Mean= 2.07Standard deviation=14.373Target value= 1.3

[units]

freq

uen

cy

a4

Page 20: Field quality in correctors: Episode III

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20

MSMs: Summarymesaured measured mechanicalmechanicalFQWG FQWGsystematicsigma Sup. Lim Inf. Lim Sup. Lim Inf. Lim systematicsigma systematicsigma systematicsigma

mod 0.904 0.003 0.862511 0.84658 0.862511 0.84658 a1 -1.749 20.352 5.17 12.875 0 0phase 0.257 1.895 4.379972 -4.37997 3.5 -3.5 a2 0 0 0 0 0 0

systematicsigma systematicsigma systematicsigma a3 0 0 0 0 0 0

b1 2.088 19.785 0 11.15 0 0 a4 2.07 14.373 0 8.89 1.3 10.55b2 0 0 0 0 0 0 a5 -0.074 5.218 0 5.58 1.3 4.03b3 10000 0.001 0 0 0 0 a6 0.026 2.167 0 3.04 2.59 3.25b4 2.57 13.913 0 8.89 1.3 2.33 a7 0 0.909 0 1.43 0.52 1.1b5 0.049 5.329 0 5.58 1.3 4.03 a8 0.032 0.496 0 0.59 0 1.87b6 -0.249 1.799 0 3.04 -5.25 4.69 a9 0.089 0.221 0 0.23 0 3.19b7 0.072 0.979 0 1.43 0.52 1.1 a10 -0.006 0.204 0 0.18 0 2.72b8 -0.038 0.536 0 0.59 0.56 1.87 a11 0.011 0.133 0 0.13 0 1.84b9 -3.852 0.798 -0.82 0.23 0 3.19 a12 -0.009 0.09 0 0 0 0b10 0.005 0.217 0 0.18 -1.56 2.72 a13 -0.042 0.052 0 0 0 0b11 0.001 0.136 0 0.13 0 1.84 a14 -0.008 0.024 0 0 0 0b12 -0.005 0.049 0 0 0 0 a15 -0.013 0.012 0 0 0 0

b13 -0.009 0.053 0 0 0 0 Xc -0.007 0.046 0 0.033 0 0.033b14 -0.001 0.025 0 0 0 0 Yc -0.006 0.049 0 0.033 0 0.033b15 -1.232 0.049 0 0 0 0 ALL : 441

Page 21: Field quality in correctors: Episode III

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21

MQTs: Transfer FunctionSystematic (module)

55 A 550 A 1 AB2 Tm 0.072 0.67 0.0013 0 0 ±1%

Limit (module)MQT tuning quadrupole

Systematic (assembly)1σ (uncertainty)

3σ (rando

m)

1.28

1.285

1.29

1.295

1.3

1.305

1.31

1.315

1.32

6 16 21 31 36 42 52 55 58 61 64 67 70 73 77 80 85 88 92 100

103

106

109

112

116

120

124

127

133

147

modulus

88 modules analyzed

Page 22: Field quality in correctors: Episode III

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22

MQTs: Transfer FunctionSystematic (module)

55 A 550 A 1 AB2 Tm 0.072 0.67 0.0013 0 0 ±1%

Limit (module)MQT tuning quadrupole

Systematic (assembly)1σ (uncertainty)

3σ (rando

m)

1.28

1.285

1.29

1.295

1.3

1.305

1.31

1.315

1.32

6 16 21 31 36 42 52 55 58 61 64 67 70 73 77 80 85 88 92 100

103

106

109

112

116

120

124

127

133

147

modulus

0

10

20

30

40

50

60

70

80

90

1.28 1.285 1.29 1.295 1.3 1.305 1.31 1.315

Mean= 1.291Standard deviation=0.003Target value= 1.3

[mT/A]

freq

uen

cy

Mod

= 0.23 %

Page 23: Field quality in correctors: Episode III

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23

MQTs: Histograms (phase & alignment)

0

5

10

15

20

25

-10 -8 -6 -4 -2 0 2 4 6

Mean= -0.511Standard deviation=1.715Target value= 0

[mrad]

freq

uen

cy

Phase

0

2

4

6

8

10

12

14

16

18

20

-0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2

Mean= 0.026Standard deviation=0.055Target value= 0

[mm]

freq

uen

cy

Xc

0

2

4

6

8

10

12

14

16

18

-0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15

Mean= -0.002Standard deviation=0.054Target value= 0

[mm]

freq

uen

cy

Yc

Page 24: Field quality in correctors: Episode III

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24

MQTs: Normal Harmonics

-17

-12

-7

-2

3

8

13

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

0

5

10

15

20

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

Page 25: Field quality in correctors: Episode III

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25

MQTs: Normal Harmonics

-17

-12

-7

-2

3

8

13

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

0

5

10

15

20

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

0

5

10

15

20

25

-60 -40 -20 0 20 40 60

Mean= 2.433Standard deviation=17.457Target value= 3.67

[units]

freq

uen

cy

b3

0

2

4

6

8

10

12

14

-20 -15 -10 -5 0 5 10 15

Mean= -15.49Standard deviation=0.489Target value= -2.21

[units]

freq

uen

cy

b10

0

2

4

6

8

10

12

14

16

-30 -20 -10 0 10 20 30

Mean= -0.443Standard deviation=8.366Target value= 1.84

[units]

freq

uen

cy

b4

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26

MQTs: Skew Harmonics

-8

-3

2

7

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

-1

1

3

5

7

9

11

13

15

17

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

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MQTs: Summarymesaured measured mechanicalmechanicalFQWG FQWGsystematicsigma Inf. Lim. Sup. Lim. Inf. Lim. Sup. Lim. systematicsigma systematicsigma systematicsigma

mod 1.291 0.003 1.313 1.287 1.313 1.287 a1 0 0 0 0 0 0phase -0.511 1.715 2.5 -2.5 3.5 -3.5 a2 0 0 0 0 0 0

systematicsigma systematicsigma systematicsigma a3 0.33 14.502 0 7.5 7.35 15.94

b1 0 0 0 0 0 0 a4 -1.611 6.288 0 2.7 1.84 14.94b2 10000 0 0 0 0 0 a5 0.577 3.657 0 1.6 1.84 5.7b3 2.433 17.457 0 7.3 3.67 14.88 a6 -0.004 0.788 0 0.32 3.67 4.61b4 -0.443 8.366 0 5.2 1.84 3.31 a7 -0.246 0.91 0 0.51 0.73 1.57b5 -0.878 3.769 0 1.6 1.84 5.7 a8 0 0.495 0 0.36 0 2.66b6 -5.081 4.535 -8.7 1 -7.44 6.65 a9 0.044 0.326 0 0.22 0 4.52b7 0.025 1.079 0 0.51 0.73 1.57 a10 -0.171 0.069 0 0.09 0 3.85b8 0.04 0.712 0 0.44 0.8 2.66 a11 -0.042 0.094 0 0.02 0 2.61b9 0.059 0.383 0 0.22 0 4.52 a12 0.021 0.048 0 0 0 0b10 -15.49 0.489 -14.6 0.07 -2.21 3.85 a13 -0.002 0.032 0 0 0 0b11 0.01 0.098 0 0.02 0 2.61 a14 -0.007 0.027 0 0 0 0b12 -0.011 0.039 0 0.01 0 0 a15 0.013 0.017 0 0 0 0

b13 0.026 0.024 0 0 0 0 Xc 0.026 0.055 0 0.033 0 0.033b14 0.335 0.029 0 0 0 0 Yc -0.002 0.054 0 0.033 0 0.033b15 0.003 0.021 0 0 0 0 ALL : 88

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MCBMs: Transfer function5. A 55 A

B1 Tm 0.189 1.863 3.77 11.31

MCB DipoleSystematic (assembly) 1σ (uncertainty)

3σ (random)

25

27

29

31

33

35

37

39

31

49

83

11

1

12

0

13

2

14

1

15

0

15

9

16

8

17

8

18

7

19

7

20

6

21

5

22

5

23

4

25

4

26

3

27

2

28

1

29

0

29

9

30

8

31

7

32

6

33

5

34

5

35

5

36

4

37

3

38

2

39

3

40

2

41

3

42

2

43

1

44

0

45

0

46

0

47

0

48

7

49

6

50

7

15

9A

modulus

397 correctors analyzed

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MCBMs: Transfer function5. A 55 A

B1 Tm 0.189 1.863 3.77 11.31

MCB DipoleSystematic (assembly) 1σ (uncertainty)

3σ (random)

25

27

29

31

33

35

37

39

31

49

83

11

1

12

0

13

2

14

1

15

0

15

9

16

8

17

8

18

7

19

7

20

6

21

5

22

5

23

4

25

4

26

3

27

2

28

1

29

0

29

9

30

8

31

7

32

6

33

5

34

5

35

5

36

4

37

3

38

2

39

3

40

2

41

3

42

2

43

1

44

0

45

0

46

0

47

0

48

7

49

6

50

7

15

9A

modulus

0

20

40

60

80

100

120

29 31 33 35 37 39

Mean= 30.723Standard deviation=0.101Target value= 37.8

[mT/A]

freq

uen

cy

Mod

397 modules analyzed

= 0.33 %

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MCBMs: Normal harmonics

-50

-40

-30

-20

-10

0

10

20

30

40

50

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

-10

0

10

20

30

40

50

60

70

80

90

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 b11 b12 b13 b14

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MCBMs: Skew harmonics

-8

-6

-4

-2

0

2

4

6

8

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

systematic vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

-10

-5

0

5

10

15

20

0 2 4 6 8 10 12 14

FQWG target

mec. target

measured

sigma vs targets

a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14

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MCBMs: Summarymesaured measured mechanicalmechanicalFQWG FQWGsystematicsigma Sup. Lim. Inf. Lim. Sup. Lim. Inf. Lim. systematicsigma systematicsigma systematicsigma

mod 30.723 0.101 37.82295 37.77705 37.82295 37.77705 a1 0 0 0 0 0 0phase 17.673 141.153 3.5 -3.5 3.5 -3.5 a2 0.04 6.218 0 2.83 0 0

systematicsigma systematicsigma systematicsigma a3 -4.586 1.901 -2.63 2.01 6.1 16.9

b1 10000 0 0 0 0 0 a4 -0.015 1.83 0 1.32 0.6 13.5b2 -0.243 4.778 0 2.83 0 0 a5 -0.241 0.473 0.27 0.82 1.8 6.7b3 -9.305 7.007 4.16 2.01 45.4 84.4 a6 0.006 0.503 0 0.5 0.1 2.4b4 -0.019 0.81 0 1.32 0.2 3.4 a7 -0.228 0.132 -0.08 0.3 0.1 0.9b5 -2.945 1.175 -0.04 0.82 9.3 9.8 a8 0.007 0.14 0 0.18 0 0.7b6 -0.006 0.223 0 0.5 0.1 0.6 a9 -0.008 0.053 0.02 0.1 0.1 0.7b7 0.825 0.239 0.83 0.3 1.2 2.6 a10 -0.004 0.047 0 0.06 0 0.1b8 0.001 0.062 0 0.18 0 0.2 a11 -0.009 0.024 -0.01 0.03 0 0b9 0.953 0.09 0.95 0.1 1.6 0.7 a12 0 0 0 0 0 0b10 -0.001 0.027 0 0.06 0 0.1 a13 0.004 0.007 0 0 0 0b11 0.034 0.044 0.23 0.03 0.9 0.1 a14 0.001 0.009 0 0 0 0b12 0 0 0 0 0 0 a15 -0.001 0.004 0 0 0 0

b13 0.54 0.015 0 0 0 0 Xc 0 0.05 0 0.05b14 0.001 0.007 0 0 0 0 Yc 0 0.05 0 0.05b15 0.201 0.012 0 0 0 0 ALL : 397

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Conclusions - modulus The measured systematic of the modulus is

often out of the limits scaled at low current (but this is not a problem)

The measured sigma on the modulus is < 0.33 % for all correctors: this satisfies the specifications, with the exception of MCBMs, for which a of 0.02 % was specified

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Conclusions - Phase The phase is not a issue as it can be easily

corrected modifying the ‘keys’

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Conclusions : Alignment During the construction, modules are aligned

with particular care. Measurements show that we are within tolerances.

At the beginning of the production, MQTs were out of specs. Now the situation is under control.

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Conclusions: Harmonics Recently, we observed a jump in the trend of the low

harmonics (b1, b2, a1, a2 too high) in MOs. The coil manufacturing process has been modified in

order to solve this problem. Measurements on last modules show that harmonics are back to usual values.

Part of this ‘bad’ production has been rejected or is in stand-by. However, we decided to accept most of the modules after discussion with A. Lombardi.