3-D Analytical Model of Racetrack HTS Coil Subject to Travelling Magnetic Fields

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ORIGINAL PAPER

3-D Analytical Model of Racetrack HTS Coil Subject to Travelling Magnetic Fields Zhengwei Zhao 1 & Shuai Xu 1 & Kang Liu 1 & Wenjiao Yang 1 & Jing Li 1 & Guangtong Ma 1 Received: 12 August 2020 / Accepted: 10 September 2020 # Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract Magnetic levitation (maglev) train has the unique advantages of no-mechanical contact, high operating speed, and so on. All those advantages indicate the potential of maglev in the future ultra-high-speed ground transit, in which the high-temperature superconducting (HTS) linear synchronous motor (LSM) is essential because of its sample structure and excellent performance. HTS LSM is a typical application of racetrack HTS coil subject to travelling magnetic field. Motivated by an efficient method to promote the application of maglev, a 3-D analytical model combining the dynamic circuit theory and virtual displacement method was proposed for estimating the performances of racetrack HTS coil in LSM. To verify the proposed 3-D analytical model, the calculated open-circuit magnetic field and back electromotive force were compared with the numerical results of a 3-D finite element model in which the actual geometry of HTS LSM and the nonlinear conductivity of HTS tapes were taken into account. Based on the validated 3-D analytical model, the characteristics of HTS LSM was analyzed. The obtained results indicate that the validated 3-D analytical model could be a very efficient tool for the characteristic analysis and optimization of HTS LSM. Keywords Air-cored long-primary linear synchronous motor (LSM) . High-temperature superconducting (HTS) . Racetrack HTS coil . 3-D analytical model

1 Introduction Magnetic levitation (maglev) has been considered as a promising candidate for the future ground railway transit due to its high operating speed, low energy consumption, small turning radius, etc. [1]. To obtain an ideal application of maglev, considerable attention have been paid to maglev transit by worldwide researchers [2–5]. Those efforts are trying to drive maglev by a linear synchronous motor (LSM) to cancel the pantograph-catenary contact, which is considered to be an efficient approach to improve the superior limit of operating speed of ground transportation. Thus, many kinds of superconducting LSM had been proposed and investigated based on analytical models [6–11]. In those analytical models, the concentrated primary windings and field windings were considered to be rectangular shape. * Guangtong Ma [email protected] 1

Applied Superconductivity Laboratory, State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

However, racetrack coils were more realistic and effective than rectangular coils in the engineering application of superconducting LSM [12, 13]. The reasons were that the fabrication and performance of LSM consisting of racetrack coils were more excellent than that of superconducting LSM consisting of rectangular coils. A superconducting air-cor