Dynamic Electromagnetic Behaviors of High-Temperature Superconductor Levitation System Based on YBCO Material from 3D Perspective

Yu, Zhiqiang; Feng, Wenjie; Gu, Zhou; Cheng, Wu

doi:10.1007/s10948-019-05238-x

Cited by 5 publications

(7 citation statements)

References 25 publications

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“…From equation (2), the thermal field variable T affects the electromagnetic field through J c , thus being a coupled variable. According to the Maxwell electromagnetic equations, we can obtain a governing equation for the electromagnetic field based on the magnetic field vector ⃗ H [22,28,29]:…”

Section: Governing Equation For Electromagnetic Field Based On H-methodsmentioning

confidence: 99%

“…Since the governing equations ( 3) and ( 4) are both secondorder parabolic PDEs, we took equation (3) as an example here to derive its numerical form briefly as follows [22]. The iterative method is used for numerical solution.…”

Section: Numerical Discretizationmentioning

confidence: 99%

“…The PM adopts N52-type NdFeB material (M = 836 kA m −1 ), widely applied currently. J c0 of the HTS is set to 6.5 × 10 7 A m −2 [22]. The other calculation parameters are same as before.…”

Section: Electromagnetic-thermal Behaviors Of Hts With Cuboid Slotmentioning

confidence: 99%

“…Therefore, in this paper, based on the previous work [2,[22][23][24][25][26], we set up a 3D model coupled with the magnetic field (H-method) and thermal field to investigate the electromagnetic-thermal behaviors of an HTS levitation system consisting of a cylindrical PM and HTS with a cuboid slot under moving magnetic fields caused by the movement of a PM, which have not been reported so far. Using the 3D coupled model established, we found that the electromagnetic behaviors of an HTS with a cuboid slot is very different from those without damage including its electromagnetic force and loss.…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic-thermal behaviors of bulk superconductor with cuboid slot under moving magnetic field

Yu¹,

Feng²,

Gu³

et al. 2020

Supercond. Sci. Technol.

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We established a 3D coupled model to study the electromagnetic-thermal behaviors of a levitation system containing a bulk high-temperature superconductor (HTS) with a cuboid slot under the nonuniform magnetic field due to the movement of a permanent magnet (PM), analysing the influences of the geometrical parameters of the slot and inclination angle on the electromagnetic-thermal behaviors, giving the dynamic distribution of the global electromagnetic force density in the HTS. The results show that the longer the length of the slot, the smaller the levitation force, and the greater the loss. As its length takes up 7/10 of the HTS diameter, the loss is 4 times that of the HTS without damage. Due to the homodromous induced current appearing near the slot, the maximum guidance force increases with the length. The levitation force decreases with the increase of the slot depth. Its curve near the maximum becomes blunt and the loss increases significantly. As the depth is 3/5-4/5 of the HTS height, the loss is 300-400 times of that without damage. The guidance force and loss increase with the depth. As the inclination angle rises, the levitation and guidance force both drop. At 30 • , their maximums decrease by 70 % and 90 %, respectively. The lateral stability of the system thus becomes poorer, indicating the inclination angle is one of the important factors for instability. As the PM moves vertically, the guidance force density symmetrically distributes near the both wide sides of the slot. Its side faces with the wide sides will bear the shear force, resulting in that the slot has the tendency to tear along these faces. As the PM reciprocates laterally, the slot is subjected to the lateral shear force, proportional to the displacement.

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Section: Governing Equation For Electromagnetic Field Based On H-methodsmentioning

confidence: 99%

Section: Numerical Discretizationmentioning

confidence: 99%

Section: Electromagnetic-thermal Behaviors Of Hts With Cuboid Slotmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Electromagnetic-thermal behaviors of bulk superconductor with cuboid slot under moving magnetic field

Yu¹,

Feng²,

Gu³

et al. 2020

Supercond. Sci. Technol.

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“…Based on different models and tools such as critical state models, frozen and diamagnetic image methods, and dipole-dipole interaction, a large number of theoretical works have studied the levitation force and the static stability by changing the system parameters, such as, on the one hand, the dimensions, critical current density, working position and cooling process of the SC and, on the other hand, the magnetization, number, size and arrangement of the PMs in the guideway [4][5][6][7][8][9]. Furthermore, finite element models using various formulations, such as A − V formulation for the magnetic potential vector and electric scalar potential, T − ω formulation for the current potential vector and scalar magnetic potential, and H formulation for the magnetic field, have been proposed to analyze the levitation and guidance forces including their relaxation behavior in two-dimensional (2D) or even 3D maglevs, taking into account the effect of thermally activated flux motion [10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of 3D superconducting maglevs with six degrees of freedom: dependence on magnetization strategy and disturbance type

Huang,

Diao,

Liu

et al. 2023

Supercond. Sci. Technol.

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Based on the heat diffusion equation, Maxwell’s equations, and translational and rotational dynamic equations, we establish and theoretically validate an electromagnetic-thermal-mechanical coupling model to analyze the levitation performance during normal operation and the nonlinear dynamic behavior under disturbance for 3D maglev systems composed of a six-degree-of-freedom bulk superconductor (SC) and a Halbach-type guideway of permanent magnets (PMs) with different magnetization strategies and different types of disturbances, as well as the change rules of magnetic force and torque during translational or rotational cycle movement. In order to ensure the system security, we propose a generalized electromagnetic restoring force model to theoretically analyze the stability of the SC moving along the directions of various degrees of freedom. The results show that after being disturbed, the SC vibrates along the direction of each degree of freedom, and the vibration center, i.e. equilibrium position, will drift along each vibration direction. With time increasing, the equilibrium position will appear periodically on both sides of the working position. Compared to zero-field cooling magnetization, field cooling magnetization enables the SC to trap more flux in its interior to alleviate the drift phenomenon and reduce the energy loss. This advantage can be further enhanced by adding an extra step of preloading treatment. For the lateral motion, the system has one stable focus point and two unstable saddle points. Whether the system at these saddle points is stable depends on the direction of disturbance-induced velocity. For the rotational motion, the system has only one stable focus point, which means that regardless of the type of disturbance, the SC will finally come back to its stable equilibrium position. Besides, the stability is related to the axis around which the SC rotates, and rotating around the longitudinal axis is more likely to generate larger magnetic force, torque and local temperature rise. Either field cooling magnetization or preloading treatment can effectively improve system stability.

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Superconducting Levitation in a Gap Between Two Magnetic Bodies

Zakharov

2022

J Supercond Nov Magn

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Dynamic Electromagnetic Behaviors of High-Temperature Superconductor Levitation System Based on YBCO Material from 3D Perspective

Cited by 5 publications

References 25 publications

Electromagnetic-thermal behaviors of bulk superconductor with cuboid slot under moving magnetic field

Electromagnetic-thermal behaviors of bulk superconductor with cuboid slot under moving magnetic field

Nonlinear dynamics of 3D superconducting maglevs with six degrees of freedom: dependence on magnetization strategy and disturbance type

Superconducting Levitation in a Gap Between Two Magnetic Bodies

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