MAC Committee Meeting – 2023 April 24-25
Korea 4GSR Magnet System Status, Progress
D. E. Kim + Magnet Group,
(PAL, POSTECH, Pohang, Korea)
Nov. 21 2022
MAC Committee Meeting – 2023 April 24-25
Introduction
• Korea is trying to develop 4th Generation SR
based light source starting construction on
2022.
• It features 4 GeV, 7BA, 800 m circumference,
58 pm emittance, 28 superperiods, full
energy booster injection, 2 T center bends
for harder X-ray source.
• The project is now on CDR v0 phase, and
TDR efforts will continue to 2022. After
18month of full technical design, the actual
construction will start on 2024 lasting 3
years for the completion.
• In this report, 0.5th version of the magnet
system, and high power RF efforts are
summarized.
4GSR Ring
Design Parameters
Tune and Chromaticiy
BTS
LTB
SR
Booster
Linac
Radiation related quantities
Twiss functions at the ID
Total # of BL: 52 (60)
Value
Unit
Cell Number
Circumference
Electron Energy
Natural Emittance
28
798.84
4
58
[m]
[GeV]
[pm rad]
Horizontal Tune
67.395
-
Vertical Tune
24.275
-
Natural Horizontal
Chromaticity
-115.344
-
-84.693
-
3.5
3.5
(target)
(target)
1009
0.1197
[keV]
[%]
11.075
[ms]
21.127
[ms]
19.342
[ms]
8.564
[m]
2.459
[m]
1.3
[mm]
Natural Vertical
Chromaticity
Horizontal Chromaticity
Vertical Chromaticity
Energy Loss per Turn
Energy Spread
Horizontal Damping
Time
Vertical Damping Time
Longitudinal Damping
Time
Horizontal beta function
at the ID center
Vertical beta function at
the ID center
Dispersion function at
the ID center
Injector: Booster
MAC Committee Meeting – 2023 April 24-25
Lattice design
•
ESRF-EBS type
- Dispersion bump w/sextupoles.
- Longitudinal gradient dipoles.
- Phase advance of Δφx = 3π and Δφy = π between
corresponding sextupole.
•
APS-U type: Reverse bends in Q4, Q5, and Q8.
1. Achieving 58 pm with 800 m circumference at 4.0 GeV beam energy.
2. Natural evolution of ESRF-EBS, and APS-U.
3. Massive use of combined function magnet for quad focusing and bending using “Offsetted”
quadrupole.
4. Application of reverse bend with strong quad focusing (DQ51)
5. 6.5 m straight section and 2 T Center-bend as bending source (ec=21 keV).
4
Magnet
Required
Number
Remark
Central BM
28
1*28
Long. BM
112
4*28
Reverse Bend
168
2*3*28 (should have B, B’)
Quad Bend
56
2*28 (should have B, B’)
Quadrupoles
344
6*2*28+8
MAC Committee Meeting – 2023 April 24-25
Magnet Summary for Booster and SR
Magnet
Required
Number
Remark
Combined
Dipole
60
Quadrupole
66
Sextupoles
168
6*28 (should have B”, H/V Corr, Skew Quad)
Sextupoles
60
Octupole
56
2*28
Corr.
120
H60, V60
Fast Corr.
112
4*28 (H/V combined corrector)
Total
306+
Total number of magnets
Magnets/Sec
35
31+4 (fast Corr.)
Total
1,044
Total number of magnets
56 (6.07deg)+4(5.02deg)
Booster Magnet Summary
SR Magnet Summary
Additional 41+ magnets are required for LTB (Linac to
Booster), and BTS (Booster to SR) and
injection/extraction. Total 1391+ magnets are needed.
Q51
Q31
S31
Q11 Q12
LGBM1
Q32
DQ32
DQ31
S33
S32
LGBM2
DQ51
DQ52 Q52
Q52
CB
DQ52
DQ51
Q51
LGBM2
Q32
DQ32 DQ31 Q31
S32
S31
S33
LGBM1
Q12
Q11
MAC Committee Meeting – 2023 April 24-25
Project Timeline
TDR
Prototyping
Serial Production,
Measurements
Installation Start
MAC Committee Meeting – 2023 April 24-25
Magnet Type
Longitudinal Gradient
Bending Magnet
Center Bend
Quad dipole,
Reverse Bend
Quadrupole
Sextupole +
Slow corrector
Octupole Magnet
Fast-Slow Corrector
total
Magnet ID Qty/Sec Total Rc or half gap
Good Field
Rc [mm]
Overall Summary
Mag Len. [ Core Lengh [ Max Stren., Mult or
mm]
mm]
B,B',B",B''' Uni.[1E-4]
LGBM1U
LGBM2U
LGBM2D
LGBM1D
CB
DQ31U
DQ32U
DQ51U
DQ52U
DQ52D
DQ51D
DQ32D
DQ31D
QHU1
QHU2
QHU3
QHU4
Q11U
Q12U
Q31U
Q32U
Q51U
Q52U
Q52D
Q51D
Q32D
Q31D
Q12D
Q11D
QHD4
QHD3
QHD2
QHD1
S31U
S32U
S33U
S33D
S32D
S31D
O31U
O31D
C1U
C2U
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
28
28
28
28
28
28
28
28
28
28
28
28
28
2
2
2
2
26
26
28
28
28
28
28
28
28
28
26
26
2
2
2
2
28
28
28
28
28
28
28
28
28
28
13.9
12.2
12.2
13.9
7.0
15.0
20.0
30.0
15.0
15.0
30.0
20.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
15.0
20.0
20.0
20.0
20.0
20.0
20.0
15.0
15.0
12.5
12.5
±13mm
±13mm
±13mm
±13mm
±13mm
7.0
7.0
15.0
7.0
7.0
15.0
7.0
7.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
±10mm
±10mm
186.0
200.0
145.0
820.0
626.0
626.0
820.0
145.0
200.0
200.0
200.0
200.0
200.0
250.0
200.0
145.0
145.0
384.0
200.0
200.0
384.0
145.0
145.0
200.0
250.0
200.0
200.0
200.0
200.0
180.0
200.0
180.0
180.0
200.0
180.0
80.0
80.0
121.0
121.0
C2D
1
28
12.5
±10mm
C1D
1
28
1044
12.5
±10mm
Photon V. F Lam. Or
an
Solid
Trim Winding
I[A]
V[A]
0.6314~
0.3051~
0.3051~
0.6314~
1.9942
58.1
26.1
26.4
52.0
52.0
26.4
26.1
58.1
16.3
28.0
44.5
18.0
49.4
41.7
56.2
56.2
53.6
57.4
57.4
53.6
56.2
56.2
41.7
49.4
18.0
44.5
28.0
16.3
1802.3
2083.9
1419.6
1419.6
2083.9
1802.3
240,000
240,000
0.6 mrad
0.6 mrad
10C-type
10C-type
10C-type
10C-type
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
50
50
50
50
50
50
200C-type
200C-type
100C-type
100C-type
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Sol.
Lam0.35
Lam0.35
121.0
70.0 0.6 mrad
100C-type
Lam0.35
3.0/4.0
4.9/16.0
121.0
70.0 0.6 mrad
100C-type
Lam0.35
3.0/4.0
4.9/16.0
187.0
189.3
189.3
189.3
189.3
189.3
189.3
239.3
189.3
134.4
134.4
374.0
189.3
189.3
374.0
134.4
134.4
189.3
239.3
189.3
189.3
189.3
189.3
74.0
74.0
70.0
70.0
2nd Int, 1st Int
2nd Int, 1st Int
2nd Int, 1st Int
2nd Int, 1st Int
None
V-Dipole
V-Dipole
V-Dipole
V-Dipole
V-Dipole
V-Dipole
V-Dipole
V-Dipole
None
None
None
None
None
None
None
None
None
None
None
None
None
None
None
None
None
None
None
None
H/V/SQ
H/V/SQ
H/V/SQ
H/V/SQ
H/V/SQ
H/V/SQ
None
None
Trim Winding St
rength
226.14
226.14
3.42A/2.57V
3.42A/2.57V
-
228.5
124.5
124.5
34.90
59.89
95.25
38.55
105.80
89.33
120.40
120.40
114.80
122.90
122.90
114.80
120.40
120.40
89.33
105.80
38.55
95.25
59.89
34.90
Remark
parallel face. Wedged spacer
8.83parallel face. Wedged spacer
8.83parallel face. Wedged spacer
parallel face. Wedged spacer
7.15parallel faced.
8.93Straight Magnet
Straight Magnet
Curved Pole Tip
Curved Pole Tip
Curved Pole Tip
Curved Pole Tip
Straight Magnet
8.93Straight Magnet
2.50145 mm: 112
4.30200 mm: 124+56 (DQ31)
6.84250 mm: 52
2.77384 mm: 56
8.79112
6.41124
7.1352
7.1356
13.04Pole to pole distance ±5.0 mm
8.82
8.82
13.04
7.13
7.13
6.41
8.79
2.77
6.84
4.30
2.50
H/V Strength
Lamination due to the corrector function
Not all sex has all the functions
Pole to pole distance +-6.5 mm 이상.
independently powered (BD requirements)
3.6
12.1
3.6
12.1
3.0/4.0 4.9/16.0 max 0.6 mrad
3.0/4.0 4.9/16.0 1% uniformity=100
MAC Committee Meeting – 2023 April 24-25
General Design Requirements
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
•
LGBMs mirror symmetric in longitudinal direction with respect to center bend.
Dipole Quadrupole (DQ) series operational range is 95% to 105% of the nominal value.
Quadrupole operational range is 75% to 110% of the nominal value.
Sextupole magnets operational range is 50 to 120% of the nominal value.
More than 98% magnetic efficiency for sextupole for min cross-talk btw the H/V/SQ coils.
DQ, RB, Quads should have 90% min efficiency.
Coolant pressure drop is 6bar (or 90 psi) with inlet temperature of 25C.
Coolant temperature rise is limited to less than 20 K.
Min H/V apertures are decided based on BD simulation and vacuum requirements.
Typical Quad aperture radius is 15 mm with good field radius of 10.0 mm except DQ51, DQ32.
DQ51 ro/rc=15mm/30mm, DQ32 ro/rc=10mm/20mm.
For Quadrupoles, multipole requirements are < 1.0E-3 at good field radius.
For Sextupoles ro/rc=10mm/20mm with multipole < 1.0E-3 at good field radius.
For Dipoles, the uniformity requirement is DB/B < 1.0E-3 for 13.0 mm.
Vertical half gap for center bend, LGBM1, LGBM2 are 7.0/13.9/12.2 mm, respectively.
Fast correctors need about 0.6 mrad kick @ 4GeV.
MAC Committee Meeting – 2023 April 24-25
Addtional Magnet
• In addition to SR magnets, we need 347+ magnets for
the booster and LTB (Linac to Booster), BTS (Booster to
SR) line.
• Parameters of the magnets are being optimized for BD,
and manufacturing aspects. (For example, the field
strength, and length of the dipole magnets in the
booster).
• Physical parameters (eg. minimum pole gap, required
uniformity) are being summarized to start actual
design.
• No technical difficulties are expected for these
magnets since the magnets are more easily realizable
compared to SR magnets except thick, thin current
septum (good benchmark needed!)
1/9/2024
LTB
Magnets
BTS
Magnets
Magnet
Required
Number
Remark
BM
4
0.5m, 0.35 T
Septum
1
0.8 m, 0.30 T
Kicker
1
0.8m, 0.0125 T
Quad
10
0.2 m, 5.7 T/m
Correctors (H/V)
4
0.1 m, 0.01 T
BM
2
1.6 m, 0.73 T
Septum
5
0.6 m, -1.17 T
Quad
10
0.5 m, 21 T/m
Correctors (H/V)
4
0.3 m, 0.08 T
LTB, BTS Magnets (41+ Magnets)
8
MAC Committee Meeting – 2023 April 24-25
Features of Korea-4GSR magnet system
-Some Preliminary Concepts.
-Center bend is short (0.186m), but strong 2.0 T with electromagnetic excitation.
-EM version is being considered for LGB, and CB to cope a long term radiation damage.
-Quadrupole, DQ maximum pole tip field is about 0.883T which is acceptable.
-Max pole tip field for sextupole is 0.391 T with 120% nominal excitation which is achievable.
-Quad, DQ aperture ranges from 15 mm, 20 mm (DQ32), 30 mm (DQ51).
-For quad bends (DQ family), offsetted quadrupole concept is used following APSU.
-Long DQs have curved pole, while shorter DQs have a straight pole.
-Sextupole magnet has H/V corrector, skew Quad windings.
-To speed up design process, 3D analysis are parameterized for speedy analysis. (e.g.. Core length, chamfer, chamfer angle)
-Booster dipole is a combined dipole with quadrupole components.
-Usual 4 kicker injection is being considered with optional study for nonlinear kick injection.
-Thick, thin current septum magnet for extraction/injection are needed.
1/9/2024
9
MAC Committee Meeting – 2023 April 24-25
Longitudinal Gradient Dipole (LGBM2) : 3D
Dipole and higher order multipole along the orbit.
• EM version is selected for construction costs and total cost of
operation during the lifetime.
• 3D field map with 1 mm step size is calculated, and the multipole
along the orbit is calculated.
• Except the quadrupole component which comes from the edge
focusing, higher order was negligible.
• To match the design field, reluctance gap at the return yoke is
implemented for each magnet section
• Prototype manufacturing in progress.
1/9/2024
10
MAC Committee Meeting – 2023 April 24-25
Longitudinal Profile of LGBM2 (Lattice, Calculated). Integrated Uniformity
Integrated Uniformity of Segments[%]
0.30
0,04
0.25
0,02
0
0.20
-0,029
-0,019
-0,009
0,001
0,011
0,021
-0,02
0.15
-0,04
0.10
-0,06
-0,08
0.05
-0,1
0.00
Ряд1
0.0
0.5
1.0
1.5
Ряд2
Ряд3
Ряд4
Ряд5
2.0
• BD scientist calculated the emittance based on the simulated results and there was no difference in the e-beam
emittance coming from the difference between lattice and calculated results.
• Optimizing lids between segments are being calculated to minimized the “dip” between segments.
• Summary: We don’t need to meet the BD suggested profile precisely.
MAC Committee Meeting – 2023 April 24-25
LGBM2 Magnet
Ac=
D=
I=
Assumed eff=
Js=
R=
Voltage Drop=
Cooling length=
Coolant Velocity=
Flow Rate=
Temperature rise=
Re=
f=
k2=
Nb=
DP=
LGBM2
43.50663857mm2
0.005m
226.14A
0.98
5.197827445A/mm2
0.03902554Ohm/magnet
8.83Volts/magnet
45.532 m
2.05m/sec
2.42liter/min/channel
5.9K
1.57E+04
0.029
0.3loss coeff at bend
56# of bend
5.90E+05Pa
Required # : 56+4 (1st Article+Spare Magnet)
Status : Contract Awarded
MAC Committee Meeting – 2023 April 24-25
3D model of CB, and integrated uniformity, effective length
By [T]
Integrated Uniformity for various shims
2,50
6,00E-04
2,00
4,00E-04
1,50
2,00E-04
1,00
0,00E+00
0
5
10
15
20
0,50
-2,00E-04
0,00
0,00
-4,00E-04
0,02
0,04
0,06
-8,00E-04
0,12
0,14
0,16
BL [Tm]
0,25
-1,00E-03
Ряд1
•
•
•
•
•
0,10
Longitudinal Distribution of By
-6,00E-04
3D model of the CB Magnet
1/8 using symmetry
0,08
Ряд2
Ряд3
Ряд4
Ряд5
Ряд6
Ряд7
Ряд8
Uniformity of the integrated field for
various shims
CB magnet is a H-type magnet with trapezoidal shim.
Min gap is 7.0 mm with 0.186 m effective length, with peak B=2.0058 T
Due to higher field, very low carbon steel is assumed for the core material.
1/8th of the 3D model is displayed.
Integrated uniformity for various shims are calculated
0,2
0,15
0,1
0,05
0
0
2000
4000
6000
8000
Real
10000
12000
14000
Ideal
Excitation Curve for BL
16000
MAC Committee Meeting – 2023 April 24-25
Center Bend Magnet
half gap
Leff=
B0
L_yoke=
Efficiency=
NI=
rho_cu
Total Power (1 magnet)=
Coil X=
Coil Y=
Cooling Hole=
Number of Turns=
Number of cooling channel=
Inom=
jeff=
Voltage Drop/magnet=
Resistance/magnet=
Coil fill factor=
Power/channel=
Number of coils=
Coolant velocity=
Flow Rate=
DT=
Inductance (Computed)=
Central BM
Unit
0.0072
m
0.186
m
1.9942
Tesla
0.187
mm
0.867
1.3255E+04
Aturn
1.86E-08 Ohm m
1.63E+03
Watts
8.00
mm
8.00
mm
4.00
mm
58
2
228.5
A
4.5 A/mm2
7.15
Volt
0.0313
Ohm
0.790
817.4
Watts
2
1.72
m/sec
2.59 liters/min
9.0
K
0.023
Henry
Remark
per pole
DT=20 K
per coil
per magnet
Required # : 28+2 (1st article+Spare Magnet)
Status : Contract Awarded
MAC Committee Meeting – 2023 April 24-25
Major Parameters LGBM Magnets, Center Bends
Parameter
LGBM1
LGBM2
Center Bend
0.13-0.63
0.15-0.30
2.0058
12.2
13.9
7.0
56
56
28
2.2348
1.8788
0.186
0.96
0.96
0.87
1.56-2.96
1.58-0.67
13.25
kA
10.0X10.0-6.0
8.0X8.0-5.0
8.0x8.0-4.0
mm
N/pole=
3/1/2/3/6
7/1/1/2/3
58
Current=
521.7
226.1
228.5
A
Voltage/Mag=
8,13
8.83
7.15
V
Power/Magnet=
4.24
1.99
1.63
kW
# Cooling Cha=
2
2
2
Coolant v=
2.6
2.05
1.72
m/sec
Flow rate=
3.06
2.42
2.59
Liters/min
DT=
9.9
5.9
9.0
K
dP=
6.0
6.0
6.0
Kg/cm2
20000
15000
10500
B=
Hgap =
Req. Number=
Leff=
Efficiency=
Ampere Turns=
Conductor=
Reynolds #=
Units/Remark
mm
m
MAC Committee Meeting – 2023 April 24-25
Dipole Quadrupole (DQ), Reverse Bends Quadrupoles, Quad
• Dipole Quadrupoles, Reverse Bend Quadrupoles are basically
offsetted quadrupoles for design simplicity.
• The offset for dipole component reaches from 20.1 mm to 2.74 mm.
• DQ51 which has the largest offset has an aperture radius of 30 mm,
DQ32 has an aperture radius of 20 mm to avoid mechanical
interference. The max B’=30 T/m (DQ51), 23 T/m (DQ32) which is
achievable without any difficulty using standard low carbon steel.
• Other types DQ52, DQ31 has an aperture radius of 15 mm which is
same with regular quadrupoles with Max B’=58.9 T/m.
• The poles are optimized for min harmonic content and maximum B’
with tapering (See next quad page)
• All DQ should have trim windings for dipole component that will be
used to keep the dipole component while quad component
changes.
• Each type may have a slot for photon extraction depending on the
lattice position.
• All DQ use solid core.
• Quad max B’=58.7 T/m at 110% excitation
Flux distribution
|B| distribution
MAC Committee Meeting – 2023 April 24-25
2D optimization of the Quad (Sextupole) Magnet
Conformal map for Quad
Conformal map for Sextupole
bumh
xbum
w plane
z plane
• The parameters in dipole geometry (w) is determined based on the aperture, min
pole to pole distance, bump starting position, bump angle, bump height.
• Bumped dipole geometry is transformed back to the real (z) geometry and 2D
calculations are carried out to evaluate the impact of the implemented shims.
Particularly the first two allowed multipole are used as optimization parameters
since due to the symmetry, the 2nd allowed multipole component is already very
high harmonic.
• For quadrupole n=6,10,14.. (in terms of the A (Vector Potential)) normal
component harmonics are allowed components.
• Also mechanical machining possibility must be evaluated.
• This scheme is also used for sextupols only differing in the used conformal maps.
MAC Committee Meeting – 2023 April 24-25
3D Analysis of DQ31, and Impact of quadrupole end chamfering on the B5, B9.
B6 (r=10mm) distribution along the z for single chamfer
Integration of B6 (r=10 mm) from the field free region to the magnet
center
3,50E-02
4,00E-03
3,00E-02
3,00E-03
2,50E-02
2,00E-03
1,00E-03
0,00E+00
0,000
5 mm, 63.5o
2,00E-02
1,50E-02
0,020
0,040
0,060
0,080
0,100
0,120
-1,00E-03
-2,00E-03
1,00E-02
5,00E-03
-3,00E-03
0,00E+00
0,000
0,020
0,040
0,060
0,080
0,100
0,120
-4,00E-03
-5,00E-03
-5,00E-03
B6 (r=10) distribution along z. (left is magnet
center) for a single chamfer
Ряд1
Ряд2
Ряд3
Ряд4
Ряд5
Ряд6
Ряд7
Ряд8
Integration of B6 (r=10) from far to the center of the
magnet for various cuts to find optimum chamfering
• B6 is integrated from the zero field region toward the magnet center to estimate the end contribution.
• There was optimum chamfer depth, angle that cancel out edge contribution of B6. (in this case, dz=5mm, angle=63.5)
• This end chamfering can be scaled for other aperture magnet and still good (if not deeply saturated)
MAC Committee Meeting – 2023 April 24-25
DQ and Quadrupole Magnet
70
60
y=2.0057z
B' [T/m]
50
40
30
20
10
rc=15 mm
Tan(63.5o)=2.0057
0
0
20
40
60
80
100
120
140
Z [mm]
z=rc/3
B’ along the magnet
3D FEM Model
0
B6 [T]
• Quad, and DQ magnets are similar design. Two DQ types have longer effective length
and decided to be arc shape. Other quad, DQs have straight core shape.
• Apertures are all 15 mm for quad, and 15, 20, 30 mm for DQ magnets.
• Shims are introduced in w plane, and transformed to z plane and the geometry is
analyzed in 2D, and 3D with real permeability.
• The fundamental component, and two first allowed harmonics b6, b10 along the
magnet is calculated for each 1mm slices which were well within requirements.
• Pole shape is optimized in 2D, end chamfering is optimized for 3D effects.
• Each quadrupole and DQ types have different photon exit slot size.
2
-2
-4
-6x10
-3
0
20
40
60
z [mm]
80
100
B6, Before (black), Red
(after) end chamfering
120
MAC Committee Meeting – 2023 April 24-25
Major Parameters Quadrupole Magnets
Parameter
Q12/Q31/Q32
Q11/Q52
Q51
B’=
58.12
58.91
58.68
Ro/Rc=
10/15
10/15
10/15
56+56+56
56+56
56
Leff=
0.145
0.200
0.384
Efficiency=
0.94
0.94
0.94
Ampere Turns=
5.53
5.61
5.59
kA
6.5X6.5-4.0
6.5X6.5-4.0
6.5X6.5-4.0
mm
N/pole=
44
44
44
Current=
125.8
127.5
127.0
A
Voltage/Mag=
7.45
9.15
14.43
V
Power/Magnet=
0.94
1.17
1.83
kW
# Cooling Cha=
2
2
4
Coolant v=
1.72
1.56
1.72
m/sec
Flow rate=
2.59
2.35
5.19
Liters/min
DT=
5.2
7.1
5.1
K
dP=
6.0
6.0
6.0
Kg/cm2
10530
9550
10530
Req. Number=
Conductor=
Reynolds #=
Units/Remark
mm
Aperture/GFR
m
MAC Committee Meeting – 2023 April 24-25
DQ 51: Main Parameters
Parameter
DQ51
DQ52
Core length [mm]
789.0
615.0
Aperture radius [mm]
30.0
15.0
244.69
106.18
Current density [A/mm2]
4.04
3.60
Magnetic efficiency
0.977
0.987
Resistance [Ohm]
0.12
0.19
Voltage [V]
30.49
20.12
Power [W]
7455
2136
17
8
9.0x9.0(5.0)
6.5x6.5(4.0)
42
44
4510
1136
Current [A]
Temperature rise of coil [K]
Coil size [mm2]
Coil turns per pole
DQ51
Mass [kg]
Trim coil size [mm2]
2.2x4.0
21
MAC Committee Meeting – 2023 April 24-25
DQ51: Magnetic Multipole Components along the trajectory
DQ52
DQ51
Bn/B4
z=0
3D integration
along trajectory
z=0
3D integration
along trajectory
B6/B4
1.49E-04
-1.77E-04
-1.85E-04
-3.64E-04
B8/B4
4.85E-04
-4.02E-04
-2.26E-04
-5.30E-04
B10/B4
5.27E-04
-3.72E-04
-1.04E-04
-4.75E-04
B12/B4
3.10E-04
-1.90E-04
-5.59E-05
-2.28E-04
B14/B4
9.88E-05
7.13E-05
-2.05E-05
-2.15E-05
B16/B4
2.34E-05
1.92E-04
-1.88E-05
2.64E-06
B18B4
2.43E-05
1.20E-04
-1.16E-05
8.93E-06
B20/B4
1.72E-05
-5.67E-06
-3.70E-06
2.70E-06
Relative multipole components for quad. 100% current
without trim current
Bn field strength along the trajectory of DQ51
Beam Positons at the magnet center (z=0)
DQ51: x=20.14 mm offset, reference (good field) radius= 15.0 mm
DQ52: x=3.19 mm offset, reference radius= 7.0 mm
22
MAC Committee Meeting – 2023 April 24-25
Major Parameters of (DQ), and Reverse Bends
Parameter
DQ32
DQ31
DQ51
DQ52
Units/Remark
B’=
22.88
58.91
29.35
54.08
T/m
Rc=
20
15
30
15
mm
Req. Number
56
56
42
44
Leff=
0.145
0.200
0.820
0.626
Efficiency=
0.97
0.94
0.97
0.94
Ampere Turns=
3.754
5.61
11.43
5.15
kA
6.5X6.5-4.0
6.5X6.5-4.0
9.0X9.0-5.0
6.5X6.5-4.0
mm
N/pole=
56
56
42
44
Current=
67.0
100.2
258.9
117.2
A
Voltage/Mag=
5.05
9.15
25.1
19.75
V
Power/Magnet=
0.34
0.92
6.49
2.31
kW
# Cooling Cha=
2
2
4
4
Coolant V=
1.53
1.37
1.52
1.46
m/sec
Flow rate=
2.31
2.07
7.16
4.40
Liters/min
DT=
2.1
6.4
13.0
7.5
K
dP=
6.0
6.0
6.0
6.0
Kg/cm2
9370
8400
11600
8900
Conductor=
Reynolds #=
m
MAC Committee Meeting – 2023 April 24-25
Sextupole Magnets
• Sextupole magnet has a strength (2nd derivative) B”=2166 T/m2 with aperture
radius of 20 mm, and effective length 200, 180 mm.
• Pole tip field is about 0.433 T which is well acceptable.
• All sextupoles should have H-corr/V-corr/Skew Quad windings.
• To minimize the interference between the coils, the magnetic efficiency should
be kept high (about 95%) which is achievable due to low pole tip field.
• For extraction of photons, there is minimum vertical clearance between the poles
at 30 degree and -30 degree. This limits the maximum possible pole width which
affects the allowed multipole. (7 mm)
• Sextupole may need very wide photon extraction slot. This will be confirmed
soon.
• Following figure shows 2D flux distribution, and right table shows the key
parameters of the sextupole magnet.
Parameter
S1
Units/Remark
B”max=
2166
Ro/Rc=
12/20
Req. Number=
6*28
Leff=
0.200
Efficiency=
0.95
Ampere Turns=
2.44
kA
6.5X6.53.5
mm
Conductor=
mm
Aperture/GFR
m
N/pole=
21
Current=
116.4
A
Voltage/Mag=
6.11
V
Power/Magnet=
0.711
kW
# Cooling Cha=
2
Coolant v=
1.60
m/sec
Flow rate=
1.85
liters/min
DT=
5.5
K
dP=
6.0
Kg/cm2
Reynolds #
8500
Trim Windings
Yes
H/V/SQ
MAC Committee Meeting – 2023 April 24-25
Sextupole Magnets
Conformal map for Sextupole magnet
B” along the magnet
b9, b15 along the magnet
• Like quadrupole, shims are introduced in w plane, and transformed to z
plane and the geometry is analyzed in 2D, and 3D with real permeability.
• Max B”=2166 T/m2, with effective length 200 mm.
• Apertures are all 20 mm to meet the minimum vertical photon slot size
requirements.
• The fundamental component, and two first allowed harmonics B10, B16
along the magnet is calculated for each 1mm slices which were well within
requirements.
• All sextupoles should have H-corr/V-corr/Skew Quad windings.
• To minimize the interference between the coils, the magnetic efficiency
should be kept high (about 95%) which is achievable due to low pole tip field.
MAC Committee Meeting – 2023 April 24-25
H/V Corrector Magnet
max kick
B0=
Leff=
Req. BL=
Center hgap
Right hgap
Left hgap
NI/pole=
core_len=
Ac=
jmax=
I=
N/coil=
L0=
Ncoil=
P (total)=
V=
R=
L=
Unit
rad (DC)
T
m
Tm
mm
mm
mm
A
m
m2 (2x1.0mm2)
A/mm2
A
turns
m
Watts
Volts
Ohm
Henry
H-Corrector
6.00E-04
6.70E-02
1.22E-01
8.00E-03
16.0
12.5
13.0
931.3
0.070
2.000E-06
1.47
2.95
316
0.28
2
14.3
4.9
1.65
0.387
V-corrector
6.00E-04
6.80E-02
1.21E-01
8.00E-03
16.0
12.5
13.0
1862.6
0.070
2.000E-06
2.04
4.08
456
0.23
4
65.3
16.0
3.91
0.429
ESRF Style: H/V combined, 0.6 mrad max kick @ 4GeV
Required # : 112+8 (including prototype, spare magnet)
Status : contract (delivery in 24 month)
MAC Committee Meeting – 2023 April 24-25
Octupole Magnet
B'''=
rc=
Pole to Pole distance=
core_len=
Leff=
NI/pole=
Ac=
jmax=
I=
N/coil=
yoke_th=
L0=
Ncoil=
P/coil=
P (total)=
V=
R=
Stored Energy
(Full 3D model)
L=
T/m3
m
m
m
m
A
m2 (2x1mm2)
A/mm2
A
turns
m
m
±0.005
Watts
Watts
Volts
Ohm
0.0740
0.0809
1086.48
2.000E-06
1.68
3.35
324
0.045
0.298
4
10.12
40.49
12.07
3.60
Joule
3.29
Henry
0.58
Octupole Parameters
ESRF style
Requried #: : 56 + spare
Status : Design finish, received quotation
Octupole
240,000
1.50E-02
MAC Committee Meeting – 2023 April 24-25
Overall Status of Magnets
Magnet Type
Styatus
Center Bends
Prototype contract being processed.
LGBM1
Not started yet
LGBM2
Prototype contract awarded, Due Jun 30 2023.
Remark
2.0058T, 0.186 m Dipole Magnet
DQ31
Magnetic Design finish, Drawings going on. Need to confirm
mechanical interference with Vacuum Gr.
Rc=15 mm, Leff=200 mm, B’=59 T/m,
Straight yoke
DQ32
Not started yet
Straight yoke,
rc=20mm
DQ51
Physics Design Going on
Curved pole tip, rc=30mm
Design going on
DQ52
Physics Design Going on
Curved pole tip, rc=15 mm,
MAC Committee Meeting – 2023 April 24-25
Overall Status of Magnets
Magnet Type
Status
Remark
Q11
Preliminary design finished. Mechanical
interference with vacuum chamfer confirming.
Same parameter with DQ31 except photon slot.
Q12
Preliminary design finished
Rc=15 mm, Leff=145 mm, B’=58T/m
No photon slot problem.
Q31
Parameters are same with Q12 except photon slot.
Q32
Parameters are same with Q12 except photon slot
Q51
Physical design finished
Quotation in progress
Q52
Physical design finished
Quotation in progress
Preliminary design finished. Design being
updated to accommodate EPU photon
extraction
Corrector strength 0.6 mrad, skew Q 1T/m.
Design finished, contract awarded
0.35 mm lamination, 0.6 mrad max kick, H/V combined
function, contract awarded
S31-S33
Fast
Correctors
MAC Committee Meeting – 2023 April 24-25
Other Magnets
Magnet Type
Status
Remark
Booster D
2D optimization going on, hgap=13.7 mm
Combined function magnet. Discussion going on the
serial/parallel combination to limit the cost/max allowed
voltage.
Booster Q
Rc=17.7 mm, Leff=200mm, B’=26.5 T/m
Recently updated parameters. No serious challenge
Booster S
Rc=17.7 mm, Leff=100, 200mm, B”=165 T/m2
Recently updated parameters. No serious challenge
Booster C
Max 1.2 mrad kick, H/V separate magnet
Kicker
Waiting for more detailed specification like
BSC, strength, integrated strength.
Baseline design is practically same kicker used for PLSII, no challenge expected
Waiting for more detailed specification
Injection spec in discussion, Thick thin current septums
are expected to be challenging
No spec yet.
No serious challenges expected.
Septums
BTL magnets
MAC Committee Meeting – 2023 April 24-25
Magnet Status and short term targets
• SR needs 35*28(cell #)=1044 magnets, and 300+ booster magnets with additional correctors and LTB,
BTS, injection/extraction magnets.
• Currently 2.5*physicists, 1.0*engineers are working in the design/prototyping. More man power is
needed as the project progresses.
• Requirements for magnets are relatively mild compared to APS-U, ESRF in terms of pole tip field.
• All magnets are in electromagnetic excitation to avoid any long term radiation damage issue, supply
chain issue, and lower construction costs. (with slightly larger operating costs)
• LGBM2, CB (2T), Corrector prototype contracted awarded (Expected delivery Sep. 2023)
• Quadrupole design is going on with 2D, 3D optimization of the multipoles. Prototyping contract
expected in 2 month.
• Prototyping all other magnets is expected to finish within next year.
• TDR report for magnet system is expected to finish in 2023 Sep.
• Special magnet like thick, thin current septum needs more attention after elaboration of
extraction/injection scheme.
• Series production magnet contracts are expected during 2023 and delivery within 24 months.
MAC Committee Meeting – 2023 April 24-25
Thank you for your attention!
MAC Committee Meeting – 2023 April 24-25
Example of LGB2 Analysis
LGB2 profile
0,35
0,30
0,25
0,20
0,15
0,10
0,05
0,00
0,0000
0,5000
1,0000
1,5000
2,0000
2,5000
3D FEM model and results (left), and the
calculated field profile (above) of LGB2
magnet.
1/9/2024
33
MAC Committee Meeting – 2023 April 24-25
현황 요약 및 향후 추진계획
•
•
•
•
•
•
현재 수량 기준 624/1044 구매 진행 (장검위) 또는 구매작업 진행 (장검위용 서류준비).
LGBM, Corrector 등이 예산을 초과 중 (원화 약세, 원자재 비용상승 등이 영향 준듯)
예비품 수량 조정, 입찰에 의한 감가 등으로 예산에 수렴전망.
예산 초과시 다른 외국업체에도 견적 요청 추진. (IHEP, Kelin, Danfysik)
Quadrupole 등의 구매를 작은 단위로 나누면 경쟁유도로 낮은 낙찰 예상되나 서류작업 많이 증가하는 문제 있음.
Lattice 변경에 따른 4극 수량 조금 증가, Octupole 추가 등으로 예산 증액요소 있음.
•
•
•
•
•
•
SR Sextupole/Hcorr/Vcorr/SQ 물리 진행 중
LGBM1 진행대기
DQ32, DQ51, DQ52 진행중, 또는 계획
Booster Dipole, Quad, Sextupole, Corrector 사양 fix후 진행
Dipole 외 Quad Sextupole Corrector등은 사양이 낮고 기존 설계 tool 활용으로 빨리 진행 가능할 것으로 추정.
BTS, LTB, Injection 용 special magnet (Septum, Kicker ) 등 사양 확정 후 진행 예정.
• 끝