A review of conductor performance for the LARP high-gradient quadrupole magnets

We summarize critical current measurements and parameterizations of the data of 112 round wires and extracted strands that were reacted with the first 17 coils for the high-gradient quadrupole (HQ) magnets for the US LHC Accelerator Research Program (LARP). We standardize the strand parameterizations and coil ‘short sample’ calculations, and demonstrate that the entire critical current database can be captured in two scaling parameters per coil. These parameters summarize the short sample performance for each coil for either HQ magnet tests, or mirror tests of individual coils. We also demonstrate that for RRP® conductors, generic strain scaling parameters can be derived for at least four substantially different wire configurations, and standardize self-field corrections for LARP. The parameterized conductor performance is used to judge the performance of the HQ magnets and mirror tests. We find that although the HQ magnets reach around 86% of their short sample limitations, they are limited by factors other than the critical current of the conductor. Individual coils in mirror tests reach up to 98% of the expected performance, and do appear limited by the critical current of the conductor. Detailed analysis of short sample performance through accurate parameterizations simplifies the accessibility of short sample data, and enables accurate judgment of magnet performance as well as conductor and cable quality.

[1]  A. Godeke,et al.  An improved model for the strain dependence of the superconducting properties of Nb3Sn , 2009 .

[2]  D. Larbalestier,et al.  The upper critical field of filamentary Nb3Sn conductors , 2004, cond-mat/0410463.

[3]  D. R. Dietderich,et al.  Nb3Sn research and development in the USA – Wires and cables , 2008 .

[4]  S. Russenschuck,et al.  Cold Test Results of the LARP HQ $\hbox{Nb}_{3} \hbox{Sn}$ Quadrupole Magnet at 1.9 K , 2013, IEEE Transactions on Applied Superconductivity.

[5]  G. Sabbi,et al.  Test Results of the First 3.7 m Long Nb3Sn Quadrupole by LARP and Future Plans , 2011, IEEE Transactions on Applied Superconductivity.

[6]  D. Larbalestier,et al.  Microstructure, microchemistry and the development of very high Nb/sub 3/Sn layer critical current density , 2005, IEEE Transactions on Applied Superconductivity.

[7]  D. Larbalestier,et al.  Inconsistencies between extrapolated and actual critical fields in Nb 3 Sn wires as demonstrated by direct measurements of H c2 , H* and T c , 2003 .

[8]  G. Sabbi $\hbox{Nb}_{3}\hbox{Sn}$ IR Quadrupoles for the High Luminosity LHC , 2013, IEEE Transactions on Applied Superconductivity.

[9]  A Godeke,et al.  A general scaling relation for the critical current density in Nb3Sn , 2006, cond-mat/0608404.

[10]  Paolo Ferracin,et al.  Test results of TQS03: A LARP shell-based Nb3Sn quadrupole using 108/127 conductor , 2010 .

[11]  E. Helfand,et al.  Temperature and Purity Dependence of the Superconducting Critical Field, H c 2 . III. Electron Spin and Spin-Orbit Effects , 1966 .

[12]  H. Felice,et al.  Design of HQ—A High Field Large Bore ${\rm Nb}_{3}{\rm Sn}$ Quadrupole Magnet for LARP , 2009, IEEE Transactions on Applied Superconductivity.

[13]  G. Sabbi,et al.  Test of Optimized 120-mm LARP $\hbox{Nb}_{3}\hbox{Sn}$ Quadrupole Coil Using Magnetic Mirror Structure , 2013, IEEE Transactions on Applied Superconductivity.

[14]  David O. Welch,et al.  Superconducting critical temperatures, critical magnetic fields, lattice parameters, and chemical compositions of ‘‘bulk’’ pure and alloyed Nb3Sn produced by the bronze process , 1986 .

[15]  G. Sabbi,et al.  Magnetic and Mechanical Analysis of the HQ Model Quadrupole Designs for LARP , 2008, IEEE Transactions on Applied Superconductivity.

[16]  G. Ambrosio,et al.  Influence of Ti and Ta doping on the irreversible strain limit of ternary Nb3Sn superconducting wires made by the restacked-rod process , 2010 .

[17]  D. Dietderich,et al.  Characterization of High Current RRP Wires as a Function of Magnetic Field, Temperature, and Strain , 2009, IEEE Transactions on Applied Superconductivity.

[18]  G. Sabbi,et al.  Quench Performance of HQ01, a 120 mm Bore LARP Quadrupole for the LHC Upgrade , 2012, IEEE Transactions on Applied Superconductivity.

[19]  G. Sabbi,et al.  Impact of Coil Compaction on ${\hbox {Nb}}_{3}{\hbox {Sn}}$ LARP HQ Magnet , 2011, IEEE Transactions on Applied Superconductivity.

[20]  T. Boutboul,et al.  Interlaboratory Comparisons of NbTi Critical Current Measurements , 2009, IEEE Transactions on Applied Superconductivity.

[21]  G. Sabbi,et al.  Mechanical Behavior of HQ01, a ${\hbox{Nb}}_{3}\hbox{Sn}$ Accelerator-Quality Quadrupole Magnet for the LHC Luminosity Upgrade , 2012, IEEE transactions on applied superconductivity.

[22]  A. Verweij,et al.  Critical Current Measurements of the Main LHC Superconducting Cables , 2007, IEEE Transactions on Applied Superconductivity.

[23]  G. Sabbi,et al.  Optimization and Test of 120 mm LARP Nb$_{3}$Sn Quadrupole Coils Using Magnetic Mirror Structure , 2012, IEEE Transactions on Applied Superconductivity.

[24]  Arno Godeke,et al.  Novel methods for the measurement of the critical current of superconducting wires , 2012 .

[25]  G. Sabbi,et al.  Test Results of 15 T ${\rm Nb}_{3}{\rm Sn}$ Quadrupole Magnet HQ01 with a 120 mm Bore for the LHC Luminosity Upgrade , 2011, IEEE Transactions on Applied Superconductivity.

[26]  L. Cooley,et al.  Systematic Changes of the Nb-Sn Reaction With Time, Temperature, and Alloying in Restacked-Rod-Process (RRP) ${\hbox {Nb}}_{3}{\hbox {Sn}}$ Strands , 2009, IEEE Transactions on Applied Superconductivity.

[27]  G. Sabbi,et al.  Design of a 120 mm Bore 15 T Quadrupole for the LHC Upgrade Phase II , 2010, IEEE Transactions on Applied Superconductivity.

[28]  W. Bao Structure, magnetic order and excitations in the 245 family of Fe-based superconductors , 2014, Journal of physics. Condensed matter : an Institute of Physics journal.