Abstract

A levitation system based on sidewall electrodynamic suspension (EDS) is considered for a capsule vehicle, which is a next-generation high-speed transportation system currently being studied. This levitation system does not require controlling of the gap between the guideway and the vehicle on which the superconducting electromagnet is mounted. However, when the vehicle is operated in a levitated state, the ride comfort is worse than that of the levitation system based on electromagnetic suspension (EMS), making it necessary to develop methods that can ensure good riding comfort. In addition, because the EDS system is complex and nonlinear with a combination of electromagnetics and mechanical dynamics, it is complicated to analyze the dynamic characteristics of the capsule vehicle, and the corresponding numerical analysis is time-consuming. Therefore, to easily understand the running dynamics of a capsule vehicle in the sidewall EMS system, the magnetic suspension characteristics corresponding to the primary suspension are simply modeled by considering the levitation stiffness in the vertical direction and the guidance stiffness in the lateral direction, similar to that in the case of the mechanical suspension. In this study, mathematical models of the levitation and guidance stiffnesses with respect to the speed and position of a vehicle body running at high speeds in a levitated state in the sidewall EDS system were derived for three design proposals of the levitation coil. The dynamic behavior of the vehicle based on the three design proposals was investigated by simulating a capsule vehicle model with 15 degrees of freedom.

Highlights

  • Introduction iationsOne of the recently developed transportation systems is the capsule train system [1,2,3].This system has a capsule vehicle equipped with a superconducting magnet that enables it to move in a tube at an ultra-high speed of 1000 km/h

  • electrodynamic suspension (EDS) is illustrated in Figure 1b; when the vehicle with electromagnets attached to the bottom or side drives along the guideway with a levitation coil installed over a certain speed, levitation force and guidance force are generated through the repulsive force

  • To effectively understand the running dynamics of a capsule vehicle and ensure To effectively understand the running dynamicsmodel of a capsule vehicle and applied ensure exexcellent riding comfort, a simplified that can be to the levitation cellent riding comfort, a simplified model that can be applied to the levitation and and guidance forces of the EDS system was established

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Summary

Electromagnetic

We present the electromagnetic force acting on the traveling body (here-. This section presents the electromagnetic force acting on the traveling body (-the inafter referred to as “traveling body”) designed in a reduced form before designing after referredcapsule to as “traveling body”). As shown in Figure the arrangement superconducting electromagnet and the levitation coil is the same on both sides of the running vehicle [12,13,14]. The levitation coil is installed at regular intervals on both sides of the vehicle [12,13,14]. The levitation coil is installed at regular intervals on both sides of the guideway. The high-speed vehicle travels below the reference position (z = 0) at a certain guideway. The high-speed vehicle travels below the reference position (z = 0) at a certain height in the vertical direction. EDS method, cal and in lateral vibrations are expected to be high [17,18,19].

Arrangement of superconducting magnets levitation
Design
Force Applied to the Traveling Body at at the the Force
Design C
A A Design
Equivalent
Levitation
Design C:
Levitation Stiffness with Respect to the Lateral Position
10. Levitation stiffness
Mathematical
Guidance Stiffness with Respect to the Speed of the Traveling Body
Guidance
Guidance Stiffness with Respect to the Vertical Position
Dynamic Model of Capsule Vehicle
15. The guideway irregularity in Figure
I φb k k sv k k sl c csv c csl
Comparison between Vertical and Lateral Displacements of the Bogie
19. Vertical speedofof600
Comparison between Vertical and Lateral Accelerations of the Carbody
23. Vertical
Conclusions

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