2 5 MAX IV Magnets

MAX IV Facility

Detailed Design Report

Chapter 2 MAX IV 3 GeV Storage Ring 2.5. MAX IV Magnets

CHAPTER 2.5. MAX IV MAGNETS • 1(32)

DETAILED DESIGN REPORT ON THE MAX IV FACILITY

2.5. MAX IV Magnets

2.5. MAX IV Magnets......................................................2

2.5.1. Dipole Magnets............................................................................................ 2

2.5.2. Quadrupole Magnets ..................................................................................14

2.5.3. Sextupole Magnets..................................................................................... 20

2.5.4. Octupoles Magnets .................................................................................... 26

2.5.5. Correction Magnets ....................................................................................31



2.5. MAX IV Magnets

MAX IV Magnets (figure of one full cell)

Figure 1: Schematic of one achromat of the MAX IV 3 GeV storage ring. The achromat consists of five unit cells and two flanking matching cells. The total bending angle is 18•. The gradient bending magnets (blue) are flanked by sextupoles (green). The bending magnets are interleaved with quadrupoles (red) and sextupoles (green). The final focusing magnets (red) match the beam to the straight section. Octupoles (brown) are installed in the matching section.

2.5.1. Dipole Magnets

In the MAX IV ring lattice we use gradient bending magnets. The end dipoles also have special features as soft ends where the bending field decreases to half value. The transition from full field to half end field and finally to zero field is handled in the 3d calculations and than used as input for the lattice calculations.

2.5.1.1. 2d-Calculations In this section the results from the 2d-calculation of the bending magnets are given. A transverse cut of the magnet is used as input for the calculation. All bending magnets of the lattice have the same transverse pole profile. The calculations are made in the program FEMM. The upper half of the dipole with calculated field lines is shown in fig. 2.



Figure 2.

The coordinates for the pole region are given in Table 1 below. The result of the calculation is:

Dipole field 0.5236 T (0.52395T calculated)

Gradient 8.619 T/m (8.603 T/m calculated)

Current 6118 At

In the calculations above the good field region is -12.5 to +15 mm.

The good field region is defined where the residual field variation is less than +-1Gauss see figure 5.



Table 1.

X [mm] Y[mm]

-27.5 9.765

-25.5 9.765

-20.6189 10.1704

-19.3911 10.3489

-16.2838 11.0064

-15.7135 11.107

-14 11.3627

-12 11.6765

-10 12.007

-8 12.3617

-6 12.7344

-4 13.1298

-2 13.5517

0 14

2 14.4826

4 14.9978

6 15.5453

8 16.1423

10 16.7798

12 17.4824

14 18.2338

16 19.0669

20 21.074

24 23.36

27.5 25.95

Figure 3: Transverse dimensions of the dipole.



Plots of “dipole field” and residual field along the horizontal axis. The ripple in the calculated points is partly due to the mesh size (25um).

Figure 4. Figure 5.

2.5.1.2. 3d-Calculations The dipole is well calculated in 2D to get the desired dipole and gradient in the bulk of the bending-magnets.

There are two types of dipoles in the lattice the main dipoles inside the cell and the softended dipoles facing the long straight sections. The softended dipole is used to protect insertion devices in the long straight sections from high thermal load.

The aim of the 3d calculations is to determine the field profile in the fringe field region and also in the transition region from main field to soft field. The relative contributions of gradient field and dipole field is important to calculate. All the dipoles have magnetic shunts on each end to shorten the fringe fields.

When the magnets are calculated the resulting field map is divided in a number of slices that will become the new magnet. When this extended magnet is put into the lattice program we find that the tune might not be correct. The lattice is retuned and new slices are calculated. The process converges quickly and results in bending-magnets that reflects the calculated field map.

2.5.1.3. Slicing and Lattice Iteration The picture below shows the lower half of the model for the softended dipole used in 3D calculations.

D i p o l e f i e l d

y = -8.6857E-03x + 5.2383E-01

4.60E -01

4.80E -01

5.00E -01

5.20E -01

5.40E -01

5.60E -01

5.80E -01

-6.00E+00 -4.00E+00 -2.00E+00 0.00E+00 2.00E+00 4.00E+00 6.00E+00

mm

T

Resi dual Di pol e f i e l d

-1.60E-03

-1.40E-03

-1.20E-03

-1.00E-03

-8.00E-04

-6.00E-04

-4.00E-04

-2.00E-04

0.00E+00

2.00E-04

4.00E-04

-2.00E +0

1

-1.50E +0

1

-1.00E+0

1

-5.00E+0

0

0.00E+00 5.00E+00 1.00E+01 1.50E +01 2.00E +01

mm

T

Figure 6: The model magnet.



Figure 7: Calculated 3D field.

The field calculated from the model cover regions of the main magnet, the soft end region and the end fields. As can be seen in figure 7. The gradient is present in the soft region but disappears quickly in the end field region. A magnetic shunt is cutting off the end fields.

The softended dipole is divided into twelve slices. The first one is the main part with constant longitudinal field. The second part is the first one seen in the figure above. The other slices follows each being 50mm long. The other side of the magnet is the region facing the hard edge part. The fringe field region of this part have five slices that are the same as for the main hard edge magnet. All slices are considered as longitudinally constant in field given by the average from the calculations.

Data for the final iteration are given below.

0

-15

-30

-45

-60

-75

-90

-105

-120

-13

5

-15

0

-165

-180

-195

-210

-225

-240

-255

-270

-285

-30

0

-15

-7

1

9-0.1

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

Tesla

mm

mm

Dipole end Field



SOFT BEND SLICE L[mm] B[T] Q[T/m] RHO ang[mrad] ang[deg]

Ds6 50 50 0.007738 0.005164 1292.324 0.03869 0.002217

Ds5 100 50 0.18697 2.932271 53.48452 0.93485 0.053563

Ds4 150 50 0.259229 4.234943 38.57593 1.296145 0.074264

Ds3 200 50 0.269543 4.299814 37.09983 1.347715 0.077218

Ds2 250 50 0.406663 6.082495 24.59039 2.033315 0.1165

Ds1 300 50 0.520683 8.562347 19.20554 2.603415 0.149165

Ds0 504.24 204.24 0.5236 8.66874 19.09855 10.69401 0.612721

D1 554.24 50 0.52339 8.6798 19.10621 2.61695 0.14994

D2 604.24 50 0.5225 8.6723 19.13876 2.6125 0.149685

D3 654.24 50 0.37641 5.9235 26.56678 1.88205 0.107834

D4 704.24 50 0.018679 -0.06434 535.3606 0.093395 0.005351

D5 754.24 50 0.005385 -0.00121 1856.976 0.026926 0.001543

1.500001

2.5.1.3.1. Main Bending Magnet The bending magnets inside the cell are normal sector magnets with a gradient equal to the softended magnet. The same procedure is used for this magnet and the result is a number of slices given in the table below. Only one half of the magnet is calculated as it is symmetric. (Figure 8)

75 60 45 30 15 0

-15

-30

-45

-60

-75

-90

-10

5

-120

-135

-150

-165

-180

-195

-15

-8

-1

6

13

-0.1

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

T

mm

mm

FIELD MAP FOR HALF THE MAIN DIPOLE

Figure 8: Calculated field map for the one half of the dipole.



The calculated slices are found in table 2. Below.

Table 2: Slices for half dipole.

Hard edge

slice L[mm] B[T] Q[T/m] RHO ang[mrad] ang[deg]

0 361.89 0.5236 8.6837 19.09855 18.94856 1.085673

1 50 0.52339 8.6798 19.10621 2.61695 0.14994

2 50 0.5225 8.6723 19.13876 2.6125 0.149685

3 50 0.37641 5.9235 26.56678 1.88205 0.107834

4 50 0.018679 -0.06434 535.3606 0.093395 0.005351

5 50 0.005385 -0.00121 1856.976 0.026926 0.001543

1.500025



Schematic view of the dipoles with iron length given Main dipole

2 Softended

125+361.89+361.89+125 =973.78 mm

Shunt placed 25mm from magnet. 25mm thick

Soft region

75+204.24+125= 404.24 mm

150 mm



2.5.1.4. Coil Currents and Cooling Data for Bending Magnets dip-dip dipm (-dipm)

Antal 100 20 20

Energi GeV 3 3 3

BR Tm 10 10 10

B Tesla 0.523 0.523 0.523

Grad T/m 8.68 8.68 8.68

Sext. T/m^2

Oct. T/m^3

R m 19.1 19.1 19.1

L m 1 0.567 0.567

Gap m 0.028 0.028 0.028

NI At 12236 12236 12236

Pole width m 0.055 0.055 0.055

Coil length m 2.428451 1.562451 1.562451302

Conductor Width mm 8 8 8

Hole mm 3.5 3.5 3.5

No of Layers 6 6 6

turns per layer 9 5 5

Res. Per coil Ohm 0.045819 0.016378 0.016377633

Current Amp 116.1287 209.0317 209.0316667

Voltage per coil V 5.320913 3.423444 3.42344402

Power per coil kW 0.617911 0.715608 0.715608209

Power per magnet kW 1.235821 1.431216 1.431216418

dT=10C Water Bar 0.813312 0.375858 0.375857795

Water circ. per magnet 6 6 6

Total power kW 123.5821 28.62433 28.62432837

Voltage V 1064.183 136.9378 136.9377608

6 circuits Voltage V 177.3638 2 parallel: 68.46888 68.4688804

Current A 696.7722 418.0633 418.0633333

dT=10C Water/magnet lit/min 1.770932 2.050933 2.050933128

dT=10C Total water lit/min 177.0932 41.01866 41.01866255

2 Bar lit/min/magnet 2.961399 5.330999 5.330999331

Total water lit/min 296.1399 106.62 106.6199866

2 Bar Deg C 5.980052 3.847183 3.84718324

1770.932 410.1866 410.1866255

PS V 177.3638 136.9377608

PS A 696.7722 418.0633333

Tot kW 123.5821 57.24865674

Number of PS 1 1

Possible PS type



2.5.1.5. Magnet Material Data The steel for the magnets will have an analysis similar to the following: The steel will be delivered normalized from the steel work and then treated for optimum magnetic characteristics by heating to 700C for 10h and cooled slowly (10C/h) to 300C.

C .001%

Si .02%

Mn .14%

P .008%

S .008%

Al .032%



2.5.1.6. The Matching Cell The softended dipole is part of the matching cell. The softended part is seen in the drawing below as the right part of the dipole followed by two quadrupoles Qdend and Qfend. The other elements in the cell are type sextupoles and octupoles.



2.5.1.7. The Unit Cell

The normal dipoles are included in the unit cells. In the upper drawing below the 3 deg. dipole is shown to the right and the split focusing cell to the left with a sextupole insertion. The other type of sextupole is found one on each side of the dipole.



2.5.2. Quadrupole

The dipole gradient is focusing in the vertical direction and normal quadrupoles are used for the horizontal plane. The normal quads range from 30 to about 40 T/m in strength. An additional quadrupole is used in the end section for the vertical plane. The quadrupoles are named qf, qfm, qfend, and qdend.

The magnets differ in length but will all have the same transverse profile as used in the 2d design below.

2.5.2.1. 2d-Calculations The figure to the left (figure 9) shows one quarter of the quadrupole. The designed strength is about 43T/m.

The requirements for all quadrupoles are lower than this design value.

The full sized magnet with its final pole coordinates is shown in figure 10. The pole coordinates are given for a pole that is rotated 45 degrees around the centre. When rotated, the pole face is symmetric around line x=0.

Figure 9.



Table 3: Pole coordinates (pole vertical). Figure 10.

The magnet field and the quality of the field are shown in figure 11 and figure 12 respectively. The insertion in figure 3 shows a linear fit to the calculated points

Figure 11: Quadrupole field with linear fit. Figure 12: Quadrupole field subtracted.

Quadrupole field43.55 T/m

Radius 12.5 mm

Current 2900 At

X [mm] Y[mm]

0 12.5

1.5468 12.5953

2.75611 12.8002

3.88172 13.0888

4.94295 13.4418

6.92376 14.2894

7.86104 14.7664

9.65888 15.797

11.38 16.9043

14.6688 19.2723

Calculated field

y = 4.3539E-02x + 8.3633E-05

0.00E+00

1.00E-01

2.00E-01

3.00E-01

4.00E-01

5.00E-01

6.00E-01

0.00E+00 2.00E+00 4.00E+00 6.00E+00 8.00E+00 1.00E+01 1.20E+01 1.40E+01

mm

T

Residual field

-2.00E-04

-1.00E-04

0.00E+00

1.00E-04

2.00E-04

3.00E-04

4.00E-04

5.00E-04

6.00E-04

7.00E-04

8.00E-04

0.00E+00 2.00E+00 4.00E+00 6.00E+00 8.00E+00 1.00E+01 1.20E+01 1.40E+01

mm

T



2.5.2.2. 3d-Calculations A model for the Quadrupole is set up in “Radia” (figure 13.).

Figure 13: Model magnet.



Fields for the magnet are calculated from the middle of the magnet and far out until the fields have decreased to zero. The calculated field map is found in figure 14.

Figure 14: Calculated field map.

From the field map the longitudinal field integral is determined. The integral field is found in figure 15.

Figure 15.

-15-1

0-5

0

510

15 0

-20

-40

-60

-80

-100

-120

-140

-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8

T

mmmm

FIELD MAP FOR THE QUADRUPOLE

INTEGRATED FIELD FOR THE QUADRUPOLE

y = 3.7174E+00x - 2.6957E-06

-80

-60

-40

-20

0

20

40

60

80

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

mm

Tm

m



When subtracting the quadrupole part from the integral the residual fields remain showing the quality of the integrated field. Figure 16.

Figure 16.

The effective length of the quadrupole is calculated by dividing the integral value by the gradient value extracted from the main part of the magnet.

DATA FOR THE MODEL MAGNET

HALF GAP 12.5 mm

IRON LENGTH 150 mm

CAL. GRAD 44.0 T/M

CAL.INT.GRAD

FOR HALF MAGNET 3.728 T

CALC. MAGNETIC

LENGTH 84.7 mm

EFB +9.5 mm on each side

EXCITATION 3100 At

RESIDUAL INTEGRATED FIELD

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4

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

mm

Tm

m Series1



2.5.2.3. Coil Currents and Cooling Data Quadrupoles

qf qfm qfend qdend

Antal 160 80 40 40

Energi GeV 3 3 3 3

BR Tm 10 10 10 10

B Tesla

Grad T/m 40.38 37.8 35.22 21.76

Sext. T/m^2 0 0 0 0

Oct. T/m^3

L m 0.15 0.15 0.25 0.25

Gap m 0.025 0.025 0.025 0.025

NI At 3012.505 2820.027 2189.624 1352.817

Pole width m 0.038 0.038 0.038 0.038

Coil length m 0.438832 0.438832 0.638832 0.638832

Conductor Width mm 5 5 5 5

Hole mm 3 3 3 3

No of Layers 4 4 4 4

turns per layer 10 10 10 10

Res. Per coil Ohm 0.018599 0.018599 0.027076 0.027076

Current Amp 75.31262 70.50067 54.7406 33.82043

Voltage per coil V 1.400764 1.311265 1.48216 0.915724

Power per coil kW 0.105495 0.092445 0.081134 0.03097

Power per magnet kW 0.421981 0.36978 0.324537 0.123881

dT=10C Water Bar 1.41691 1.124557 1.302812 1.624642

Water circ. per magnet 2 2 2 1

Total power kW 67.51691 14.79121 12.98149 4.955228

Voltage V 896.4888 209.8023 237.1456 146.5158

dT=10C Water/magnet lit/min 0.604698 0.529895 0.465062 0.177521

dT=10C Total water lit/min 96.75174 21.1958 18.60248 7.100842

Water if 2 Bar lit/min/magnet 0.736327 0.736327 0.594125 0.199908

Total water lit/min 117.8124 29.45309 23.76498 7.996323

Temp rise if 2 Bar Deg C 8.212359 7.19646 7.827684 8.880134

967.5174 211.958 186.0248 71.00842

PS V 224.1222 52.45059 59.2864 36.62896

PS A 75.31262 70.50067 54.7406 33.82043

Tot kW 67.51691 14.79121 12.98149 4.955228

Number of PS 4 4 4 4

Possible PS type SM 70-90 SM 70-90 SM 70-90



2.5.2.4. Drawing of Qpole-Magnet Figure 17.

2.5.3. Sextupole Magnets

Chromatic corrections are made by five families of sextupoles. Two families are used in the vertical plan and three in the horizontal plane.



2.5.3.1. 2d-Calculations Close to the ends of the dipoles a special sextupole SD is positioned. The design of SD follows below.

2.5.3.1.1. SD(END) Design Figure 18 below shows the symmetric part of SD used in the calculations, and table 4 gives pole coordinates for the vertical pole. (Symmetry around x=0)

Figure: 18. Tabel: 4.

The complete magnet with dimensions is shown in figure 19.

Figure 19.

x[mm] y[mm]

0 12.5

1 12.5812

2 12.825

3 13.23

4.17321 13.7

5.0866 14.478



SD field map on the median plane, a polynomial fit is shown (figure 20.).

Figure 20.

Residual SD field (figure 21.) when the sextupole component is extracted. The good field region is defined as the part where the residual field is below one Gauss. In the figure this region is +- 11mm.

Figure 21.

The same magnet as designed above is used for SDend with lower excitation or shorter length

FIELD DATA:

1294.2T/m2

707.56 AT

Radius 12.5 mm

SD Field map

y = -1.2860E-03x2 - 7.6878E-05x + 1.0507E-04

-2.00E-01

-1.50E-01

-1.00E-01

-5.00E-02

0.00E+00

5.00E-02

0.00E+00 2.00E+00 4.00E+00 6.00E+00 8.00E+00 1.00E+01 1.20E+01 1.40E+01

mm

Tes

la

m

Residual field

-2.00E-04

0.00E+00

2.00E-04

4.00E-04

6.00E-04

8.00E-04

1.00E-03

1.20E-03

0.00E+00 2.00E+00 4.00E+00 6.00E+00 8.00E+00 1.00E+01 1.20E+01 1.40E+01

mm

Tes

la



2.5.3.1.2. SF0,SFi,SFm Design The three families are represented by the same magnet design. SF0 and SFi have about the same strength and SFm is about half that value. Either SFm is made shorter or is excitated by a lower current.

MAX 4 SEXTUPOLE SF0 2D Calculations

Figure 22. Table 5.

Figure 22 shows the symmetric part of SF0 used in the calculations, and table 5 gives pole coordinates for the vertical pole. (Symmetry around x=0)

The complete sextupole with dimensions is shown in figure 23.

Calculated field with a nonlinear fit is found in figure 24. After extraction of the sextupole part of the field the residual field remain which is found in figure 25.

X [mm] Y[mm]

0 12.5

1.83529 12.7968

3.01847 13.2684

4.02615 13.8413

4.92182 14.4789

5.73952 15.1615

6.50006 15.8771

7.21722 16.6177

7.90061 17.3779

8.55721 18.1535

9.19225 18.9416



Figure 24. Figure 23.

Figure 25. Good field region is slightly above10mm (within one gauss).

Magnet Data:

Field: 2325 T/m2

Exc: 1379.5 AT

Radius: 12.5 mm

SF residual field

-4.50E-04

-4.00E-04

-3.50E-04

-3.00E-04

-2.50E-04

-2.00E-04

-1.50E-04

-1.00E-04

-5.00E-05

0.00E+00

5.00E-05

1.00E-04

0.00E+00 2.00E+00 4.00E+00 6.00E+00 8.00E+00 1.00E+01 1.20E+01 1.40E+01

mm

Tes

la

SF field

y = 2.3255E-03x2 - 4.0436E-07x - 1.8859E-07

-1.00E-02

0.00E+00

1.00E-02

2.00E-02

3.00E-02

4.00E-02

5.00E-02

6.00E-02

7.00E-02

0.00E+00 1.00E+00 2.00E+00 3.00E+00 4.00E+00 5.00E+00 6.00E+00

mm

Tes

la



2.5.3.2. 3d-Calculations

2.5.3.3. Coil Currents and Cooling Data SEXTUPOLES 2009

sd sdends sfms sfos sfis

Antal 200 40 40 40 40

Energi GeV 3 3 3 3 3

BR Tm 10 10 10 10 10

B Tesla

Grad T/m

Sext. T/m^2 1179 1340 1600 1700 2148

Oct. T/m^3

R m

L m 0.1 0.1 0.1 0.1 0.1

Gap m 0.025 0.025 0.025 0.025 0.025

NI At 665 800 935 1020 1310

Pole width m 0.01 0.01 0.02 0.02 0.02

Coil length m 0.24513 0.24513 0.26513 0.26513 0.26513

Conductor Width mm 4 4 4 4 4

Hole mm 2.5 2.5 2.5 2.5 2.5

No of Layers 2 2 2 2 2

turns per layer 5.5 8 8 6.5 8

Res. Per coil Ohm 0.00462 0.00672 0.00727 0.0059 0.00727

Current Amp 60.4545 50 58.4375 78.4615 81.875

Voltage per coil V 0.27925 0.33594 0.42467 0.46327 0.59499

Power per coil kW 0.01688 0.0168 0.02482 0.03635 0.04871

Power per magnet kW 0.10129 0.10078 0.1489 0.21809 0.29229

dT=10C Water Bar 0.42984 0.61973 1.32708 2.10277 4.32024

Water circ. per magnet 1 1 1 1 1

Total power kW 20.2584 4.0313 5.95594 8.72377 11.6915

Voltage V 335.102 80.626 101.92 111.185 142.797

If parallel 6 circuits Voltage V

Current A

dT=10C Water/magnet lit/min 0.14515 0.14442 0.21337 0.31253 0.41885

dT=10C Total water lit/min 29.0303 5.77685 8.53487 12.5012 16.7539

Water if 2 Bar lit/min/magnet 0.34944 0.28209 0.26973 0.3037 0.26973

Total water lit/min 69.8881 11.2836 10.789 12.1482 10.789

Temp rise if 2 Bar Deg C 4.15383 5.11971 7.91069 10.2905 15.5287

290.303 57.7685 85.3487 125.012 167.539

PS V 83.7755 80.626 25.48 27.7963 35.6992

PS A 60.4545 50 58.4375 78.4615 81.875

Tot kW 20.2584 4.0313 5.95594 8.72377 11.6915

Number of PS 4 1 4 4 4

Possible PS type SM 120-50 SM 120-50 SM 70-90 SM 70-90 SM 70-90

Modifierat?



2.5.4. Octupoles Magnets

Three families of octupoles are used for higher orders of correction. The families are named Oyyo, oxxo, and oxyo respectively. For oxxo and oxyo the same design is used, but the week oyyo is positioned close to a dipole and need special design.

2.5.4.1. 2d-Calculations OXYO, OXXO design Figure 26 shows the symmetric part of Oxyo used in the calculations, and table 1 gives pole coordinates for the vertical pole. (Symmetry around x=0)

Figure 26. Table 6.

The complete magnet with dimensions is shown in figure 27.

X mm Y mm

0 12.5

0.989524 12.5788

2.35846 13.0942

3.3392 13.7704

4.13751 14.5221

4.89239 15.281

Figure 27.



Calculated field with a nonlinear fit is found in figure 28. After extraction of the octupole part of the field the residual field remain and is found in figure 29.


Magnet data

Octupole field 44100 T/m3 (2*nominal value)

Excitation 221 AT

Radius 12.5 mm

OYYO design

Figure 30 shows the symmetric part of Oyyo used in the calculations, and table 7 gives pole coordinates for upright pole. (Symmetry around x=0).

Figure 30.

Table 7.

X[mm] y[mm]

Xmm Ymm

0 15

0.989524 15.0788

2.35846 15.5942

3.3392 16.2704

4.13751 17.0221

4.89239 17.781

Oktupole field

y = 4.41E-05x3

0.00E+00

1.00E-03

2.00E-03

3.00E-03

4.00E-03

5.00E-03

6.00E-03

0.00E+00 1.00E+00 2.00E+00 3.00E+00 4.00E+00 5.00E+00 6.00E+00

mm

Tes

la

Residual field

-2.00E-04

0.00E+00

2.00E-04

4.00E-04

6.00E-04

8.00E-04

1.00E-03

0.00E+00 2.00E+00 4.00E+00 6.00E+00 8.00E+00 1.00E+01 1.20E+01 1.40E+01

mm

Tes

la



The complete magnet with dimensions is shown in figure 31. The magnet is like oxyo but with radius increased to 15 mm.

Figure 31.

Calculated field with a nonlinear fit is found in figure 32. After extraction of the octupole part of the field the residual field remain and is found in figure 4.


Magnet Data

Octupole field 13874 T/m3 (2*nominal value)

Excitation 145.2 AT/coil

Radius 15 mm

OYYO Field

y = 1.3754E-05x3 + 1.4121E-06x2 - 4.0495E-06x + 1.8377E-06

0.00E+00

2.00E-03

4.00E-03

6.00E-03

8.00E-03

1.00E-02

1.20E-02

1.40E-02

1.60E-02

0.00E+00 2.00E+00 4.00E+00 6.00E+00 8.00E+00 1.00E+01 1.20E+01

mm

T

OYYO Residual field

-1.60E-04

-1.40E-04

-1.20E-04

-1.00E-04

-8.00E-05

-6.00E-05

-4.00E-05

-2.00E-05

0.00E+00

2.00E-05

0.00E+00 2.00E+00 4.00E+00 6.00E+00 8.00E+00 1.00E+01 1.20E+01 1.40E+01

mm

T



2.5.4.2. 3d-Calculations

2.5.4.3. Coil Currents and Cooling Data OCTUPOLES

oxxo oxyo oyyo

Antal 40 40 40

Energi GeV 3 3 3

BR Tm 10 10 10

B Tesla

Grad T/m

Sext. T/m^2

nominal Oct. T/m^3 13142 21814 6886

max 44100 44100 17265

R m

L m 0.1 0.1 0.1

Gap m 0.025 0.025 0.03

nominal NI At 63.831 105.9511 69.0

max 221 221 173

Pole width m 0.01 0.01 0.01

Coil length m 0.232566 0.232566 0.232566

Conductor Width mm 4 4 4

Hole mm 2.5 2.5 2.5

No of Layers 1 1 1


Res. Per coil Ohm 0.001195 0.001195 0.001195

Current Amp 73.66667 73.66667 57.6666


Power per coil kW 0.006486 0.006486 0.001328


dT=10C Water Bar 0.034499 0.034499 0.00215


Total power kW 2.075548 2.075548 0.42496

Voltage V 28.17486 28.17486 12.74881


Current A

dT=10C Water/magnet lit/min 0.074357 0.074357 0.015224

dT=10C Total water lit/min 2.974261 2.974261 0.608968

Water if 2 Bar lit/min/magnet 0.756613 0.756613 0.756613

Total water lit/min 30.26453 30.26453 30.26453

Temp rise if 2 Bar Deg C 0.982755 0.982755 0.201215

29.74261 29.74261 6.08968

PS V 28.17486 28.17486 12.74881

PS A 73.66667 73.66667 33.33333

Tot kW 2.075548 2.075548 0.42496

Number of PS 1 1 1

Possible PS type SM 70-90 SM 70-90 SM 1540-D



2.5.4.4. Drawing of Octupole Magnet Some construction drawings for the Octupoles.



2.5.5. Correction Magnets

2.5.5.1. Steering Magnets In each of the 20 supercells of the ring there are 10 orbit correctors for each transverse plane. The correctors are made from thin laminates of steel to allow for fast orbit corrections. The correctors are designed as separate elements of window frame type. There is one element for each plane.

A view of the model magnets is found below.



2.5.5.2. Coil Currents and Cooling Data CORRECTORS

corr x fast corr y fast corr y spec

Antal 200 199 1

Energi GeV 3 3 3

BR Tm 10 10 10

B Tesla 0.025 0.025 0.025

Grad T/m

Sext. T/m^2

Oct. T/m^3

R m

L m 0.04 0.04 0.04

Gap m Injection: 0.04 0.04 0.04

NI At 100 1082.254 1082.254 1082.254

Pole width m 0.01 0.01 0.01

Coil length m 0.162832 0.162832 0.162832

Conductor Width mm 1.420421 1.420421 1.420421

Hole mm 0 0 0

No of Layers 13 13 13


Res. Per coil Ohm 0.659912 0.659912 0.659912

Current Amp 3 3 3


Power per coil kW 0.005939 0.005939 0.005939


dT=10C Water Bar


Total power kW 2.375682 2.363804 0.005939

Voltage V


Current A

dT=10C Water/magnet lit/min

dT=10C Total water lit/min

Water if 2 Bar lit/min/magnet

Total water lit/min

Temp rise if 2 Bar Deg C

PS V 3.95947 3.95947 1.979735

PS A 3 3 3

Tot kW 2.375682 2.363804 0.005939

Number of PS 200 199 1

Possible PS type Electrofinn Electrofinn Electrofinn

Documents

2 5 MAX IV Magnets