Presentation is loading. Please wait.

Presentation is loading. Please wait.

CERN Accelerator School Superconductivity for Accelerators Case study 2 Paolo Ferracin (paolo.ferracin@cern.ch) European Organization for Nuclear Research.

Published byBarbara Sanders Modified over 6 years ago

Similar presentations

Presentation on theme: "CERN Accelerator School Superconductivity for Accelerators Case study 2 Paolo Ferracin (paolo.ferracin@cern.ch) European Organization for Nuclear Research."— Presentation transcript:

1 CERN Accelerator School Superconductivity for Accelerators Case study 2
Paolo Ferracin European Organization for Nuclear Research (CERN)

2 Case study 2 Low-beta Nb-Ti quadrupoles for the HL-LHC Introduction
Large Hadron Collider (LHC) it will run at 6.5-7 TeV, providing 300 fb-1 of integrated luminosity within the end of the decade. CERN is planning to have an upgrade of the LHC to obtain significantly higher integrated luminosity. Part of the upgrade relies on reducing the beam sizes in the Interaction Points (IPs), by increasing the aperture of the present triplets. Currently, the LHC interaction regions feature NbTi quadrupole magnets with a 70 mm aperture and a gradient of 200 T/m. Goal Design a Nb-Ti superconducting quadrupole with an 120 mm aperture for the upgrade of the LHC interaction region operating at 1.9 K Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

3 Case study 2 Low-beta Nb-Ti quadrupoles for the HL-LHC Questions
Determine maximum gradient and coil size (using sector coil scaling laws) Define strands and cable parameters Strand diameter and number of strands Cu to SC ratio and pitch angle Cable width, cable mid-thickness and insulation thickness Filling factor κ Determine load-line (no iron) and “short sample” conditions Compute jsc_ss , jo_ss , Iss , Gss , Bpeak_ss Determine “operational” conditions (80% of Iss ) and margins Compute jsc_op, jo_op , Iop , Gop , Bpeak_op Compute T, jsc , Bpeak margins Compare “short sample”, “operational” conditions and margins if the same design uses Nb3Sn superconducting technology Define a possible coil lay-out to minimize field errors Determine e.m forces Fx and Fy and the accumulated stress on the coil mid-plane in the operational conditions (80% of Iss ) Evaluate dimension iron yoke, collars and shrinking cylinder, assuming that the support structure is designed to reach 90% of Iss Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

4 Case study 2 Additional questions
Evaluate, compare, discuss, take a stand (… and justify it …) regarding the following issues High temperature superconductor: YBCO vs. Bi2212 Superconducting coil design: block vs. cos Support structures: collar-based vs. shell-based Assembly procedure: high pre-stress vs. low pre-stress Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

5 Case study 2 Low-beta Nb-Ti quadrupoles for the HL-LHC Questions
Determine maximum gradient and coil size (using sector coil scaling laws) Define strands and cable parameters Strand diameter and number of strands Cu to SC ratio and pitch angle Cable width, cable mid-thickness and insulation thickness Filling factor κ Determine load-line (no iron) and “short sample” conditions Compute jsc_ss , jo_ss , Iss , Gss , Bpeak_ss Determine “operational” conditions (80% of Iss ) and margins Compute jsc_op, jo_op , Iop , Gop , Bpeak_op Compute T, jsc , Bpeak margins Compare “short sample”, “operational” conditions and margins if the same design uses Nb3Sn superconducting technology Define a possible coil lay-out to minimize field errors Determine e.m forces Fx and Fy and the accumulated stress on the coil mid-plane in the operational conditions (80% of Iss ) Evaluate dimension iron yoke, collars and shrinking cylinder, assuming that the support structure is designed to reach 90% of Iss Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

6 Case study 2 solution Maximum gradient and coil size
The max. gradient that one could reach is almost 160 T/m …but with a w/r = 2 120 mm thick coil! Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

7 Case study 2 solution Maximum gradient and coil size
Large aperture need smaller ratio w/r For r= mm, no need of having w>r Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

8 Case study 2 solution Maximum gradient and coil size
We assume a value of w/r = 0.5 30 mm thick coil We should get a maximum gradient around 150 T/m Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

9 Case study 2 Low-beta Nb-Ti quadrupoles for the HL-LHC Questions
Determine maximum gradient and coil size (using sector coil scaling laws) Define strands and cable parameters Strand diameter and number of strands Cu to SC ratio and pitch angle Cable width, cable mid-thickness and insulation thickness Filling factor κ Determine load-line (no iron) and “short sample” conditions Compute jsc_ss , jo_ss , Iss , Gss , Bpeak_ss Determine “operational” conditions (80% of Iss ) and margins Compute jsc_op, jo_op , Iop , Gop , Bpeak_op Compute T, jsc , Bpeak margins Compare “short sample”, “operational” conditions and margins if the same design uses Nb3Sn superconducting technology Define a possible coil lay-out to minimize field errors Determine e.m forces Fx and Fy and the accumulated stress on the coil mid-plane in the operational conditions (80% of Iss ) Evaluate dimension iron yoke, collars and shrinking cylinder, assuming that the support structure is designed to reach 90% of Iss Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

10 Case study 2 solution Cable and strand size
We assume a strand diameter of mm We assume a pitch angle  of 17 Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

11 Case study 2 solution Cable and strand size
We assume Thick. Comp. = -10 % Width. Comp. = -7 % 36 strands Ins. Thick. = 150 μm We obtain Cable width: 15 mm Cable mid-thick.: 1.48 mm Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

12 Case study 2 solution Cable and strand size
Summary Strand diameter = mm Cu to SC ratio = 1.5 Pitch angle  = 17 N strands = 36 Cable width: 15 mm Cable mid-thickness: 1.48 mm Insulation thickness = 150 μm Area insulated conductor = 27.2 mm2 We obtain a filling factor k = area superconductor/area insulated cable = 0.28 Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

13 Case study 2 Low-beta Nb-Ti quadrupoles for the HL-LHC Questions
Determine maximum gradient and coil size (using sector coil scaling laws) Define strands and cable parameters Strand diameter and number of strands Cu to SC ratio and pitch angle Cable width, cable mid-thickness and insulation thickness Filling factor κ Determine load-line (no iron) and “short sample” conditions Compute jsc_ss , jo_ss , Iss , Gss , Bpeak_ss Determine “operational” conditions (80% of Iss ) and margins Compute jsc_op, jo_op , Iop , Gop , Bpeak_op Compute T, jsc , Bpeak margins Compare “short sample”, “operational” conditions and margins if the same design uses Nb3Sn superconducting technology Define a possible coil lay-out to minimize field errors Determine e.m forces Fx and Fy and the accumulated stress on the coil mid-plane in the operational conditions (80% of Iss ) Evaluate dimension iron yoke, collars and shrinking cylinder, assuming that the support structure is designed to reach 90% of Iss Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

14 Case study 2 solution Margins
Let’s work now on the load-line The gradient is given by So, for a Jsc= 1400 A/mm2 jo = jsc * k = 392 A/mm2 G = 110 T/m Bpeak = G * r * λ = 110 * 60e-3 * 1.15 = 7.6 T Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

15 Case study 2 solution Margins
Nb3Sn parameterization Temperature, field, and strain dependence of Jc is given by Summers’ formula where Nb3Sn is 900 for  = , TCmo is 18 K, BCmo is 24 T, and CNb3Sn,0 is a fitting parameter equal to AT1/2mm-2 for a Jc=3000 A/mm2 at 4.2 K and 12 T. Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

16 Case study 2 solution Margins
Nb-Ti parameterization Temperature and field dependence of BC2 and TC are provided by Lubell’s formulae: where BC20 is the upper critical flux density at zero temperature (~14.5 T), and TC0 is critical temperature at zero field (~9.2 K) Temperature and field dependence of Jc is given by Bottura’s formula where JC,Ref is critical current density at 4.2 K and 5 T (~3000 A/mm2) and CNb-Ti (27 T), Nb-Ti (0.63), Nb-Ti (1.0), and Nb-Ti (2.3) are fitting parameters. Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

17 Case study 2 solution Margins Nb-Ti
The load-line intercept the critical (“short-sample” conditions) curve at jsc_ss = 1740 mm2 jo_ss = jsc_ss * k = 487 mm2 Iss = jo_ss * Ains_cable= A Gss = 137 T/m Bpeak_ss = 9.4 T Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

18 Case study 2 solution Margins Nb-Ti
The operational conditions (80% of Iss) jsc_op = 1390 mm2 jo_op = jsc_op * k = 389 mm2 Iop = A Gop = 110 T/m Bpeak_op = 7.6 T Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

19 Case study 2 solution Margins Nb-Ti
In the operational conditions (80% of Iss) 2.1 K of T margin ( ) A/mm2 of jsc margin ( ) T of field margin Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

20 Case study 2 solution Margins Nb3Sn
“Short-sample” conditions jsc_ss = 2570 mm2 jo_ss = jsc_ss * k = 720 mm2 Iss = jo_ss * Ains_cable= 19580A Gss = 202 T/m Bpeak_ss = 14.0 T The operational conditions (80% of Iss) jsc_op = 2060 mm2 jo_op = jsc_op * k = 576 mm2 Iop = A Gop = 161 T/m Bpeak_op = T 4.6 K of T margin ( ) A/mm2 of jsc margin ( ) T of field margin Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

21 Case study 2 Low-beta Nb-Ti quadrupoles for the HL-LHC Questions
Determine maximum gradient and coil size (using sector coil scaling laws) Define strands and cable parameters Strand diameter and number of strands Cu to SC ratio and pitch angle Cable width, cable mid-thickness and insulation thickness Filling factor κ Determine load-line (no iron) and “short sample” conditions Compute jsc_ss , jo_ss , Iss , Gss , Bpeak_ss Determine “operational” conditions (80% of Iss ) and margins Compute jsc_op, jo_op , Iop , Gop , Bpeak_op Compute T, jsc , Bpeak margins Compare “short sample”, “operational” conditions and margins if the same design uses Nb3Sn superconducting technology Define a possible coil lay-out to minimize field errors Determine e.m forces Fx and Fy and the accumulated stress on the coil mid-plane in the operational conditions (80% of Iss ) Evaluate dimension iron yoke, collars and shrinking cylinder, assuming that the support structure is designed to reach 90% of Iss Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

22 Case study 2 solution Coil layout
One wedge coil sets to zero b6 and b10 in quadrupoles ~[0°-24°, 30°-36°] ~[0°-18°, 22°-32°] Some examples Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

23 Case study 2 Low-beta Nb-Ti quadrupoles for the HL-LHC Questions
Determine maximum gradient and coil size (using sector coil scaling laws) Define strands and cable parameters Strand diameter and number of strands Cu to SC ratio and pitch angle Cable width, cable mid-thickness and insulation thickness Filling factor κ Determine load-line (no iron) and “short sample” conditions Compute jsc_ss , jo_ss , Iss , Gss , Bpeak_ss Determine “operational” conditions (80% of Iss ) and margins Compute jsc_op, jo_op , Iop , Gop , Bpeak_op Compute T, jsc , Bpeak margins Compare “short sample”, “operational” conditions and margins if the same design uses Nb3Sn superconducting technology Define a possible coil lay-out to minimize field errors Determine e.m forces Fx and Fy and the accumulated stress on the coil mid-plane in the operational conditions (80% of Iss ) Evaluate dimension iron yoke, collars and shrinking cylinder, assuming that the support structure is designed to reach 90% of Iss Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

24 Case study 2 solution E.m. forces and stresses
For a quadrupole sector coil, with an inner radius a1, an outer radius a2 and an overall current density jo , each block (octant) see Horizontal force outwards Vertical force towards the mid-plan In case of frictionless and “free-motion” conditions, no shear, and infinitely rigid radial support, the forces accumulated on the mid-plane produce a stress of Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

25 Case study 2 solution E.m. forces and stresses
In the operational conditions (110 T/m) Fx (octant) = MN/m Fy (octant) = MN/m The accumulates stress on the coil mid-plane is Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

26 Case study 2 Low-beta Nb-Ti quadrupoles for the HL-LHC Questions
Determine maximum gradient and coil size (using sector coil scaling laws) Define strands and cable parameters Strand diameter and number of strands Cu to SC ratio and pitch angle Cable width, cable mid-thickness and insulation thickness Filling factor κ Determine load-line (no iron) and “short sample” conditions Compute jsc_ss , jo_ss , Iss , Gss , Bpeak_ss Determine “operational” conditions (80% of Iss ) and margins Compute jsc_op, jo_op , Iop , Gop , Bpeak_op Compute T, jsc , Bpeak margins Compare “short sample”, “operational” conditions and margins if the same design uses Nb3Sn superconducting technology Define a possible coil lay-out to minimize field errors Determine e.m forces Fx and Fy and the accumulated stress on the coil mid-plane in the operational conditions (80% of Iss ) Evaluate dimension iron yoke, collars and shrinking cylinder, assuming that the support structure is designed to reach 90% of Iss Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

27 Case study 2 solution Dimension of the yoke
The iron yoke thickness can be estimated with Therefore, being G = 123 T/m, r = 60 mm and Bsat = 2 T we obtain tiron = ~110 mm Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

28 Case study 2 Low-beta Nb-Ti quadrupoles for the HL-LHC Questions
Determine maximum gradient and coil size (using sector coil scaling laws) Define strands and cable parameters Strand diameter and number of strands Cu to SC ratio and pitch angle Cable width, cable mid-thickness and insulation thickness Filling factor κ Determine load-line (no iron) and “short sample” conditions Compute jsc_ss , jo_ss , Iss , Gss , Bpeak_ss Determine “operational” conditions (80% of Iss ) and margins Compute jsc_op, jo_op , Iop , Gop , Bpeak_op Compute T, jsc , Bpeak margins Compare “short sample”, “operational” conditions and margins if the same design uses Nb3Sn superconducting technology Define a possible coil lay-out to minimize field errors Determine e.m forces Fx and Fy and the accumulated stress on the coil mid-plane in the operational conditions Evaluate dimension iron yoke Evaluate dimension of the support structure (collars and shrinking cylinder) Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

29 Case study 2 solution Dimension of the support structure
We assume a 25 mm thick collar Images not in scale Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

30 Case study 2 solution Dimension of the support structure
We assume that the shell will close the yoke halves with the same force as the total horizontal e.m. force at 90% of Iss Fx_total = Fx_octant * 2 * sqrt(2)= +2.1 MN/m Assuming an azimuthal shell stress after cool-down of shell = 200 MPa The thickness of the shell is tshell = Fx_total /2/1000/ shell ~ 5 mm Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

31 Case study 1 solution Magnet cross-section
Coil inner radius: 60 mm Coil outer radius: 90 mm The operational conditions (80% of Iss) jsc_op = 1390 mm2 jo_op = jsc_op * k = 389 mm2 Iop = A Gop = 110 T/m Bpeak_op = 7.6 T Collar thickness: 25 mm Yoke thickness: 110 mm Shell thickness: 5 mm OD: 460 mm Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

32 Comparison Superconductivity for Accelerators, Erice, Italy, 25 April - 4 May, 2013 Case study 2

Download ppt "CERN Accelerator School Superconductivity for Accelerators Case study 2 Paolo Ferracin (paolo.ferracin@cern.ch) European Organization for Nuclear Research."

Similar presentations

SC Magnets at Fermilab New Collaring and Coil Pre-stress Limit for a Nb3Sn Magnet Alexander Zlobin Technical Division Fermilab.

SC Magnets at Fermilab New Collaring and Coil Pre-stress Limit for a Nb3Sn Magnet Alexander Zlobin Technical Division Fermilab.
Quadrupole Magnetic Design for an Electron Ion Collider Paul Brindza May 19, 2008.

Quadrupole Magnetic Design for an Electron Ion Collider Paul Brindza May 19, 2008.
Cable inventory, relative measurements and 1 st mechanical computations STUDY OF THE QUADRUPOLE COLLAR STRUCTURE P. Fessia, F. Regis Magnets, Cryostats.

Cable inventory, relative measurements and 1 st mechanical computations STUDY OF THE QUADRUPOLE COLLAR STRUCTURE P. Fessia, F. Regis Magnets, Cryostats.
Superconducting Large Bore Sextupole for ILC

Superconducting Large Bore Sextupole for ILC
E. Todesco PROPOSAL OF APERTURE FOR THE INNER TRIPLET E. Todesco CERN, Geneva Switzerland With relevant inputs from colleagues F. Cerutti, S. Fartoukh,

E. Todesco PROPOSAL OF APERTURE FOR THE INNER TRIPLET E. Todesco CERN, Geneva Switzerland With relevant inputs from colleagues F. Cerutti, S. Fartoukh,
Magnets for muon collider ring and interaction regions V.V. Kashikhin, FNAL December 03, 2009.

Magnets for muon collider ring and interaction regions V.V. Kashikhin, FNAL December 03, 2009.
Development of the EuCARD Nb 3 Sn Dipole Magnet FRESCA2 P. Ferracin, M. Devaux, M. Durante, P. Fazilleau, P. Fessia, P. Manil, A. Milanese, J. E. Munoz.

Development of the EuCARD Nb 3 Sn Dipole Magnet FRESCA2 P. Ferracin, M. Devaux, M. Durante, P. Fazilleau, P. Fessia, P. Manil, A. Milanese, J. E. Munoz.
SC magnet developments at CEA/Saclay Maria Durante Hélène Felice CEA Saclay DSM/DAPNIA/SACM/LEAS.

SC magnet developments at CEA/Saclay Maria Durante Hélène Felice CEA Saclay DSM/DAPNIA/SACM/LEAS.
SuperB Meeting, May 2008 Status of the magnetic design of the first quadrupole (QD0) for the SuperB interaction region S. Bettoni on behalf of the whole.

SuperB Meeting, May 2008 Status of the magnetic design of the first quadrupole (QD0) for the SuperB interaction region S. Bettoni on behalf of the whole.
Some considerations and back-of-the-envelope computations on the multipole correctors Giovanni Volpini, CERN, 7 March 2013.

Some considerations and back-of-the-envelope computations on the multipole correctors Giovanni Volpini, CERN, 7 March 2013.
CERN Accelerator School, Erice 2013 Tiepida-2 case-study 3: High field – large aperture magnet for a cable facility TiEpIdA2 design team: I. Mondino: Project.

CERN Accelerator School, Erice 2013 Tiepida-2 case-study 3: High field – large aperture magnet for a cable facility TiEpIdA2 design team: I. Mondino: Project.
ASC 2014Nb 3 Sn Block Coil Dipoles for a 100 TeV Hadron Collider – G. Sabbi 1 Performance characteristics of Nb 3 Sn block-coil dipoles for a 100 TeV hadron.

ASC 2014Nb 3 Sn Block Coil Dipoles for a 100 TeV Hadron Collider – G. Sabbi 1 Performance characteristics of Nb 3 Sn block-coil dipoles for a 100 TeV hadron.
G.A.Kirby 4th Nov.08 High Field Magnet Fresca 2 Introduction Existing strand designs, PIT and OST’s RRP are being used in the conceptual designs for two.

G.A.Kirby 4th Nov.08 High Field Magnet Fresca 2 Introduction Existing strand designs, PIT and OST’s RRP are being used in the conceptual designs for two.
R. Bonomi R. Kleindienst J. Munilla Lopez M. Chaibi E. Rogez CERN Accelerator School, Erice 2013 CASE STUDY 1: Group 1C Nb 3 Sn Quadrupole Magnet.

R. Bonomi R. Kleindienst J. Munilla Lopez M. Chaibi E. Rogez CERN Accelerator School, Erice 2013 CASE STUDY 1: Group 1C Nb 3 Sn Quadrupole Magnet.
CERN Accelerator School Superconductivity for Accelerators Case study 1 Paolo Ferracin ( ) European Organization for Nuclear Research.

CERN Accelerator School Superconductivity for Accelerators Case study 1 Paolo Ferracin ( ) European Organization for Nuclear Research.
CERN Accelerator School Superconductivity for Accelerators Case study introduction Paolo Ferracin CERN, Geneva Claire Antoine

CERN Accelerator School Superconductivity for Accelerators Case study introduction Paolo Ferracin CERN, Geneva Claire Antoine
Superconducting Magnet Group Superconducting magnet development for ex-situ NMR LDRD 2003 Paolo Ferracin, Scott Bartlett 03/31/2003.

Superconducting Magnet Group Superconducting magnet development for ex-situ NMR LDRD 2003 Paolo Ferracin, Scott Bartlett 03/31/2003.
GROUP C – Case study no.4 Dr. Nadezda BAGRETS (Karlsruhe Institute of Technology) Dr. Andrea CORNACCHINI (CERN EN Dept.) Mr. Miguel FERNANDES (CERN BE.

GROUP C – Case study no.4 Dr. Nadezda BAGRETS (Karlsruhe Institute of Technology) Dr. Andrea CORNACCHINI (CERN EN Dept.) Mr. Miguel FERNANDES (CERN BE.
Magnet design issues & concepts for the new injector P.Fabbricatore INFN-Genova Magnet design issues & concepts for the new injector P.Fabbricatore INFN-Genova,

Magnet design issues & concepts for the new injector P.Fabbricatore INFN-Genova Magnet design issues & concepts for the new injector P.Fabbricatore INFN-Genova,
Magnet design, final parameters Paolo Ferracin and Attilio Milanese EuCARD ESAC review for the FRESCA2 dipole CERN 28-29 March, 2012.

Magnet design, final parameters Paolo Ferracin and Attilio Milanese EuCARD ESAC review for the FRESCA2 dipole CERN March, 2012.

Similar presentations

Ads by Google