Study of a 5 T Research Dipole Insert-Magnet using an Anisotropic ReBCO Roebel Cable

Transcription

1 CERN-CC Study of a 5 T Research Dipole Insert-Magnet using an nisotropic ReCO Roebel Cable J. van Nugteren, G.. Kirby, G. de Rijk, L. Rossi, H.H.J. ten Kate CERN, Geneva, Switzerland M.M.J. Dhallé University of Twente, Drienerlolaan 5, Enschede, Netherlands. Keywords: HTS, ReCO, YCO, Roebel cable, accelerator magnet, aligned lock bstract CERN-CC /06/2015 design study is presented for the coil layout of theeucrd-2 Five Tesla HTS Research (FeaTHeR) magnet. The angular dependence of the critical current in the used ReCO Roebel cable is taken into account. This leads to a new coil layout named aligned block. This layout makes optimal use of the anisotropy of the ReCO coated conductor, by aligning all tapes with the magnetic field lines. oth two dimensional cross sections and three dimensional coil layouts are presented. In the layouts the magnetic field angle is highest at the edges of the cable causing a large variation of the critical current over its width. Different approaches to the calculation of the critical current, with and without current sharing in and between the tapes, are presented. The values are compared to the values found using a non-linear network model of the cable, in which the electrical properties of the elements are calculated as a function of magnetic field and magnetic field angle. The model also includes electrical contact between the strands using additional network elements. Presented at: SC 2014, ugust, Charlotte, US Geneva, Switzerland June 2015

2

3

4 4LPO2G-03 3 y axis [mm] z axis [mm] 50 0 Rsoft Turn End tangent dc di dc di Rmid Straight Section L0 as1/2 Support Cylinder 50 (lternatively L3) 50 Sloped Section Curved Section Straight Section Curved Section Sloped Section L0 hreq2 as2 hreq1 aend as1 ycen2 0 ycen1 aend hreq1 hcable1 hcable2 50 Support Cylinder x axis [mm] Wing Deck Central Deck Lw1/2 Rmid nturn2 Rmid Lead End tangent nturn1 Rsoft Iop Iop Fig. 5. Definition of parameters for the Feather-M0 and Feather-M2 coil layouts presented using top and side projections of the three dimensional coil layout. TLE II GEOMETRIC SPECIFICTIONS OF THE THREE-DIMENSIONL COIL LYOUTS OF FETHER-M0 ND FETHER-M2. Symbol FM0 FM2 Description mirror none anti mirror feature φ in 40.0mm 40.0mm aperture diameter φ out 99.0mm 99.0mm outer diameter drap n.a. 2.0mm extra aperture spacing Ryoke1 36.0mm 51.0mm yoke inner radius Ryoke2 80.0mm 111.0mm yoke outer radius Lyoke 280.0mm 800.0mm yoke length nturn central deck # turns nturn2 n.a. 2 7 wing deck # turns L0 40.0mm 100.0mm straight section length L mm n.a. enforced coil length Lw 40.0mm 44.0mm straight section width Lco 440mm 720mm total coil length Lca 5m 2 26m cable length ycen1 6.0mm 3.8mm central deck y-position ycen2 n.a. 17.3mm wing deck y-position hreq1 0.0mm 17.5mm central deck flaring hreq2 n.a. 4.0mm wing deck flaring aend 0.0degree 4.0degree angle at end as1 0.0degree 0.5degree central shear angle as2 n.a. 8.0degree wing shear angle ptwist n.a. 0.6 shear angle factor Reasy 16.0mm 16.0mm easy-way bend radius Rmid 400mm 400mm mid-coil bend radius 2000mm 2000mm hard-way bend radius Lco 10µH 0.45mH coil self-inductance Mfr2 n.a. 1.32mH mutual-inductance the coil ends, the influence of the other pole on the magnetic field becomes less apparent, allowing the blocks to rotate back to vertical such that a standard racetrack coil end can be made. This local rotation of the cable is calculated from the vertical position of the coil block along the length of the magnet (y(x)) using [ arot(x) = as 1 y(x) ycen ] ptwist, (1) hreq where arot is the local rotation of the conductor (see Fig. 6), as and ycen are the rotation and vertical position of the conductor at the center of the magnet, and hreq the vertical displacement of the coil end. The magnetic field is calculated using a code named Field 2014 [16], which is based on a iot- Savart Multi-Level Fast Multipole Method (MLFMM) [17]. TLE III OPERTIONL SPECIFICTIONS FOR FETHER-M0 ND FETHER-M2 WHEN OPERTED STNDLONE INSIDE N IRON YOKE T 4.2K. Symbol FM0 FM2 Description cen 1.5T 5.0T operating field P coil 4MPa 17MPa coil pressure Iop 6.0k 7.92k cable operating current J block 491/mm 2 649/mm 2 block op. cur. density* J cable 625/mm 2 824/mm 2 cable op. cur. density* Ic I 11.3k 10.3k first short sample Ic II 14.0k 11.8k second short sample Ic III 16.1k 14.2k third short sample Ic el 13.8k 11.7k electrical model s.s. TLE IV OPERTIONL SPECIFICTIONS FOR FETHER-M0 ND FETHER-M2 WHEN OPERTED INSIDE 13T CKGROUND FIELD T 4.2K. Symbol FM0 FM2 Description outsert Fresca Fresca-2 outsert magnet bg 8.5T 13.0T background field cen 9.2T 16.9T field in aperture P coil 23MPa 110MPa average coil pressure Iop 6.0k 8.14k cable operating current J block 491/mm 2 667/mm 2 block op. cur. density* J cable 625/mm 2 847/mm 2 cable op. cur. density* Ic I 10.6k 8.5k first short sample Ic II 13.2k 11.6k second short sample Ic III 14.9k 13.9k third short sample Ic el 11.8k 12.0k electrical model s.s. the difference in block and cable current density is the insulation area see Section IV and V for expanded explanation The three-dimensional geometry and the incident angle of the magnetic field, when operated at design current in a background field of 13T, is presented in Fig 7. It can be seen that the largest angle of 14degree is located at edge of the cable in the coil ends. t each position along the cable there is a point where the magnetic field angle is zero. The field angle averaged over the width of the cable is always less than 4degree. IV. CRITICL CURRENT CLCULTION Due to the angle dependence of the conductor and the current redistribution inside the tapes, the calculation of the critical current is not straight forward. For a more detailed study, a model of the Roebel cable is used. The full geometry

5

6 4LPO2G-03 5 REFERENCES [1] Future circular colider study, available from: ch/fcc/pages/default.aspx. [2] P. McIntyre and. Sattarov, On the Feasibility of a Tripler Upgrade for LHC, in Proceedings of 2005 Particle ccelerator Conference, Knoxville, Tennessee. IEEE, 2005, pp [3] L. Rossi and E. Todesco, Conceptual design of 20T dipoles for highenergy LHC, in The High-Energy Large Hadron Collider, E. Todesco and F. Zimmermann, Eds. CERN, pril 2011, pp [4] G. de Rijk, The EuCRD High Field Magnet Project, IEEE Transactions on pplied Superconductivity, vol. 22, no. 3, June [5] L. Rossi et al., The EuCRD-2 Future Magnets project: the European collaboration for accelerator quality HTS magnets, in pplied Superconductivity Conference Proceedings. IEEE Transactions on pplied Superconductivity, ugust 2014, this conference. [6] G. Kirby, J. van Nugteren, G. de Rijk et al., ccelerator quality HTS dipole magnet demonstrator designs for the EuCRD2, 5 T 40 mm clear aperture magnet, in pplied Superconductivity Conference Proceedings. IEEE Transactions on pplied Superconductivity, ugust 2014, this conference. [7] C. Lorin, M. Durante, P. Fazilleau et al., Cos-theta design of dipole inserts made of YCO-Roebel or iscco-rutherford cables, in pplied Superconductivity Conference Proceedings. IEEE Transactions on pplied Superconductivity, ugust 2014, this conference. [8] P. Ferracin, M. Devaux, M. Durante et al., Development of the Eu- CRD Nb 3 Sn dipole magnet FRESC2, in pllied Superconductivity Conference Proceedings, vol. 23. IEEE Transactions on pplied Superconductivity, June [9]. Verweij, J. Genest,. Knezovic et al., 1.9K test facility for the reception of the superconducting cables for the LHC, IEEE Transactions on pplied Superconductivity, vol. 9, no. 2, pp , June [10]. Xu, J. J. Jaroszynski, F. Kametani et al., ngular dependence of jc for ybco coated conductors at low temperature and very high magnetic fields, Superconductor Science and Technology, vol. 23, [11] J. Fleiter,. allarino, W. Goldacker, and. Kario, Characterization of Roebel cables for potential use in high-field magnets, in pplied Superconductivity Conference Proceedings. IEEE Transactions on pplied Superconductivity, ugust 2014, this conference. [12] V. Lombardo, E. arzi, D. Turrioni et al., Fabrication, qualification and test of high Jc Roebel Ya 2 Cu 3 O 7 δ coated conductor cable for HEP magnets, IEEE Transactions on pplied Superconductivity, vol. 21, pp , [13] J. van Nugteren, Case Study for a Five Tesla HTS Research-Magnet, CERN, Tech. Rep. EDMS , June [14] E. Härö et al., Quench considerations and protection scheme of a high field HTS dipole insert coil, IEEE Transactions on pplied Superconductivity, vol. 23, [15] W. Goldacker,. Frank, R. Heller et al., ROEEL ssembled Coated Conductors (RCC): Preparation, Properties and Progress, IEEE Transactions on pplied Superconductivity, vol. 17, no. 2, pp , June [16] J. Nugteren van, Internship Report: CERN, Software development for the Science and Design behind Superconducting Magnet Systems, Twente University: Energy Materials and Systems and CERN: TLS magnet team, Tech. Rep., [17] L. Greengard and V. Rokhlin, fast algorithm for particle simulations, Journal of Computational Physics, pp , [18]. Ruehli, Equivalent Circuit Models for Three-Dimensional Multiconductor Systems, IEEE Transactions on Microwave Theory and Techniques, vol. 22, no. 3, [19] K. Yagotintsev, P. Gao, M. Dhalle et al., C loss tests on CORC and stacked tape ReCO cables, Poster presented at SC 2014, ugust 2014, charlotte (SC) US. [20]. Hindmarsh, P. rown, K. Grant et al., SUNDILS: Suite of Nonlinear and Differential/lgebraic Equation Solvers, CM Transactions on Mathematical Software, vol. 31, no. 3, pp , September [21] E. P.. Van Lanen and. Nijhuis, Simulation of interstrand coupling loss in cable-in-conduit conductors with JackPot-C, IEEE Transactions on pplied Superconductivity, vol. 21, no. 3 PRT 2, pp , [22] S. Russenschuck, Field Computation for ccelerator Magnets. Wiley, 2010.