mqw review and report 2009

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




MQWB injection 450 RQT4.L3 1.034 19.254


MQWB injection 450 RQT4.R3 1.034 19.442






2009


FiDeL

MQWA collision 7000 RQ4.LR3 28.983 560.298




MQWB collision 7000 RQT4.L3 16.081 309.042


MQWB collision 7000 RQT4.R3 16.081 309.169






• “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


30 256 4540 150 34

200 0 17600 -124 41


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


FiDeL













Everybody lies

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mqw review and report 2009

Documents

mqwa tf geometric

l3 q4

l3 q5

powered means magnet

serieseach b magnet

mqw review

magnet length

mqw designnormal