Abstract
This study presents a new strain measurement method based on an external symmetrical compensation bridge (ESCB) composed of strain gauges with a four-wire configuration. Unlike the traditional strain measurement methods, this method includes two features: first, utilising the four-wire configuration to eliminate measurement errors that occur due to large space-varying thermal and field imbalances of long signal wires during operation, and second, utilising two independent quarter-active sub-bridges with a four-wire configuration composed of ESCB to eliminate the errors that occur due to the large time-varying cryogenic temperature and magnetic field. This method was validated and used on a large-scale NbTi superconducting dipole magnet detector during the cooling, excitation, and quench tests. The strains measured using the ESCB were also compared with those measured using a traditional half-active compensation bridge. The observations showed that the ESCB method can overcome the interference of the temperature gradient and electromagnetic field of long wires during both cooling and electromagnetic excitation processes. In addition to the abrupt strain signal appearing when a quench occurred, high amplitudes occurring at high frequencies were observed at the onset of a quench based on the strain spectra analysis. Thus, the strain spectra are expected to provide a novel means for early quench warning.
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References
C. Yao, Y. Ma, Superconducting materials: challenges and opportunities for large-scale applications. Iscience 24, 102541 (2021)
N. Mitchell et al., Superconductors for fusion: a roadmap. Supercond. Sci. Technol. 34, 103001 (2021)
X. Wang, S.A. Gourlay, S.O. Prestemon, Dipole magnets above 20 tesla: Research needs for a path via high-temperature superconducting REBCO conductors. Instruments 3, 62 (2019)
P. Bruzzone, W.H. Fietz, J.V. Minervini et al., High temperature superconductors for fusion magnets. Nucl. Fusion 58, 103001 (2018)
D. Larbalestier, A. Gurevich, D.M. Feldmann et al., High-Tc superconducting materials for electric power applications. Nature 414, 368–377 (2011)
P. Yuan, H.W. Zhao, H. Leibrock et al., Some Superconducting Magnets at IMP. IEEE Trans. Appl. Supercond. 20, 214–217 (2010)
Y. Pan, P. Gao, Analysis of mechanical behavior and electromechanical properties of REBCO-coated conductor tapes under combined bending-tension loads using numerical methods. Supercond. Sci. Technol. 36, 045006 (2023)
L. Bertalot, R. Barnsley, M.F. Direz et al., Fusion neutron diagnostics on ITER tokamak. J. Instrum. 7, C04012 (2012)
P. Gao, M.Z. Guan, X.Z. Wang et al., Electromagnetic-thermal-structure multi-layer nonlinear elastoplastic modelling study on epoxy-impregnated REBCO pancake coils in high-field magnets. Superconductivity 1, 100012 (2022)
J.C. Yang, J.W. Xia, G.Q. Xiao et al., High intensity heavy ion accelerator facility (HIAF) in China. Nucl. Instrum. Methods Phys. Res Sect. B 317, 263–265 (2013)
C. Zhuomin, L. Feng, W. Hao, Strain measurement on the toroidal field (TF) coil case. Plasma Sci Technol. 7, 2734–2736 (2005)
P. Chen, C.J. Caldwell-Nichols et al., Development of a displacement measurement system for wendelstein 7-X superconducting magnet system. IEEE Trans. Appl. Supercond. 21, 27–31 (2010)
Y. Khristi, K. Doshi, S. Kedia et al., Strain measurement on superconductor joints using an external bridge completion technique. Meas. Sci Technol. 22, 065102 (2011)
A.N. Sharma, U. Prasad, K. Doshi et al., Instrumentation for status monitoring and protection of SST-1 superconducting magnets. Fusion Eng. Des. 112, 771–777 (2016)
V. Tomarchio, K. Risse, H. Viebke, Data analysis of the strain gauges system of the W7-X superconducting coils. Fusion Eng. Des. 84, 1852–1856 (2009)
M. Bajko, B. Bordini, S. Canfer et al., The short model coil (SMC) dipole: an R&d program towards accelerator magnets. IEEE Trans. Appl. Supercond. 22, 4002702 (2012)
A. Nishimura, H. Tamura, S. Imagawa et al., Stress and strain measurement of the large helical device during coil excitation. Fusion Eng. Des. 58, 253–257 (2001)
H. Pan, D. Arbelaez, H. Felice et al., Mechanical study of a superconducting 28-GHz ion source magnet for FRIB. IEEE Trans. Appl. Supercond. 29, 4100706 (2019)
Y. Kim, S. Hahn, J. Voccio et al., Strain in YBCO double-pancake coil with stainless steel overband under external magnetic field. IEEE Trans. Appl. Supercond. 25, 4300504 (2015)
Y. Yan, C.J. Xin, M.Z. Guan et al., Screening current effect on the stress and strain distribution in REBCO high-field magnets: experimental verification and numerical analysis. Supercond. Sci. Technol. 33, 05LT02 (2020)
M.Z. Guan, Q. Hu, P.F. Gao et al., Mechanical analysis and measurements of a multicomponent Nbti/Cu superconducting magnets structure for the fully superconducting electron cyclotron resonance ion source. Chin. Phys. Lett. 33, 058502 (2016)
M.Z. Guan, L.Z. Ma, X.Z. Wang et al., Stress and strain measurements on a 5 T superconducting magnet during coil excitation. IEEE Trans. Appl. Supercond. 22, 9002404 (2012)
M.Z. Guan, X.Z. Wang, L.Z. Ma et al., Magnetic field and strain measurements of a superconducting solenoid magnet for C-ADS injector-II during excitation and quench test. J. Supercond. Nov. Magn. 26, 2361–2368 (2012)
M.Z. Guan, X.Z. Wang, C.J. Xin et al., Structural mechanics exploration for multicomponent superconducting solenoids by hoop strain tests during cooling and excitation. J. Supercond. Nov. Magn. 27, 1179–1185 (2014)
C.J. Xin, M.Z. Guan, Shallow embedded strain measurements and analysis for a NbTi superconducting sextupole coil during cooling, excitation and quench. J. Supercond. Nov. Magn. 32, 175–183 (2019)
B. Wu, X.Z. Wang, M.Z. Guan et al., Mechanical responses of a combined support structure for a Nb3Sn sextupole magnet during assembly and thermal cycle. IEEE Trans. Appl. Supercond. 30, 4002905 (2020)
B. Wu, X.Z. Wang, M.Z. Guan et al., Mechanical responses of a semi-open split Nb–Ti superconducting magnet reinforced with cantilever structure. IEEE Trans. Appl. Supercond. 30, 4901105 (2020)
Y. Yan, P. Song, C.J. Xin et al., Screening-current-induced mechanical strains in REBCO insert coils. Supercond. Sci. Technol. 34, 085012 (2021)
H.W. Weijers, U.P. Trociewitz, W.D. Markiewicz et al., High field magnets with HTS conductors. IEEE Trans. Appl. Supercond. 20, 576–582 (2010)
S. Choi, T. Kiyoshi, S.Y. Hahn et al., Stress analysis of a high temperature superconductor coil wound with Bi-2223/Ag tapes for high field HTS/LTS NMR magnet application. IEEE Trans. Appl. Supercond. 19, 2237–2240 (2009)
P.L. Walstrom, Effect of high magnetic fields on metal foil strain gauges at 4.2 K. Cryogenics 15, 270–272 (1975)
X. Wang, W. Wang, J. Wang et al., Thermal strain measurement of EAST W/Cu divertor structure using electric resistance strain gauges. Fusion Eng. Des. 113, 1–5 (2016)
Z. Kai, Y. Wang, C. Wang et al., Mechanical design, assembly, and test of LPF1: a 10.2 T Nb3Sn common-coil dipole magnet with graded coil configuration. IEEE Trans. Appl. Supercond. 29, 4000108 (2018)
K. Takahashi, S. Namba, H. Fujishiro et al., Thermal and magnetic strain measurements on REBaCuO ring bulk reinforced by metal ring during field-cooled magnetization. Supercond Sci. Technol. 32, 015007 (2018)
H. Bajas, M. Bajko, V. Benda et al., Test set-up for the cooling of heavy magnets by controlled way down to 77 K. Phys. Procedia 67, 331–337 (2015)
S. Kedia, S. Pradhan, Y. Khristi et al., Measurement of electromagnetic and thermal stresses on conduction-cooled joints of the SST-1 spare TF Coil. IEEE Trans. Appl. Supercond. 20, 2360–2369 (2010)
N. Nanato, W. Asai, S. Murase, Study on criterion for quench detection/protection of superconducting magnet based on active power method. Phys. Procedia 27, 416–419 (2012)
H.W. Weijers, W.D. Markiewicz, A.J. Voran et al., Progress in the development of a superconducting 32 T magnet with REBCO high field coils. IEEE Trans. Appl. Supercond. 24, 4301805 (2014)
X.Z. Wang, M.Z. Guan, L.Z. Ma, Strain-based quench detection for a solenoid superconducting magnet. Supercond. Sci. Technol. 25, 095009 (2012)
W. Gil, G. Drexlin, T. Hohn et al., Quench detection performance of the magnet safety system for the inductively coupled KATRIN source magnets. IEEE Trans. Appl. Supercond. 28, 4702305 (2018)
I.R. Dixon, A.V. Gavrilin, J.R. Miller et al., Analysis of the quench protection system of a series connected hybrid magnet. IEEE Trans. Appl. Supercond. 17, 2446–2449 (2007)
N. Nanato, K. Nakamura, Quench detection method without a central voltage tap by calculating active power. Cryogenics 44, 1–5 (2004)
N. Nanato, Y. Tsumiyama, S.B. Kim et al., Development of quench protection system for HTS coils by active power method. Phys. C Supercond. 463, 1281–1284 (2007)
J.H. Joo, S.B. Kim, T. Kadota et al., Quench protection technique for HTS coils with electronic workbench. Phys. C Supercond. 470, 1874–1879 (2010)
A. Ninomiya, K. Sakaniwa, H. Kado et al., Quench detection of superconducting magnets using ultrasonic wave. IEEE Trans. Magn. 25, 1520–1523 (2002)
P.F. Gao, M.Z. Guan, C.J. Xin, A dynamic strain-based quench-detection method in an LTS sextupole magnet during excitation and quench. Supercond. Sci. Technol. 33, 115010 (2020)
M.Z. Guan, X.Z. Wang, Y.H. Zhou et al., A criterion of the strain-based quench decision for a low-temperature superconducting solenoid. IEEE Trans. Appl. Supercond. 24, 4700804 (2014)
X.Y. Zhang, L.Z. Ma et al., Preliminary design of superconducting dipole magnet coils for HIAF in IMP. IEEE Trans. Appl. Supercond. 22, 4901904 (2012)
A.V. Pan, L. MacDonald, H. Baiej et al., Theoretical consideration of superconducting coils for compact superconducting magnetic energy storage systems. IEEE Trans. Appl. Supercond. 26, 5700905 (2016)
Y.G. Park, H.C. Jo, J. Lee et al., Test and analysis of electromagnetic and mechanical properties of HTS coil during Quench State. IEEE Trans. Appl. Supercond. 26, 4602104 (2016)
Acknowledgements
This study was supported by the National Natural Science Foundation of China (12172357 and 11902129), Key Projects of Natural Science Fund of Gansu Province(22JR5RA127), Guangdong Basic and Applied Basic Research Fund (2022B1515120051), and Youth Innovation Promotion Association CAS (2019404). The authors would like to thank superconducting magnet technology group at IMP for their helpful guidance and suggestions.
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Yongjie Zhang, Peifeng Gao and Mingzhi Guan wrote the main manuscript text, Yongjie Zhang, Canjie Xin and Mingzhi Guan conducted experiments and analyzed the data, Yongjie Zhang, Peifeng Gao and Mingzhi Guan prepared all the figures. All authors reviewed the manuscript.
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Zhang, Y., Xin, C., Gao, P. et al. Strain Measurement Method Based on External Symmetrical Compensation Bridge Composed of Strain Gauges with Four-Wire Configuration for a Large-Scale NbTi Superconducting Dipole Magnet Detector. J Low Temp Phys 213, 121–137 (2023). https://doi.org/10.1007/s10909-023-02989-9
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DOI: https://doi.org/10.1007/s10909-023-02989-9