Abstract
Several factors could affect the function of the electromagnet control system when a high-speed maglev train runs over a bridge. To enhance the robustness of the electromagnet control system to the high-speed maglev train running over the bridge, a fuzzy active control rule is introduced into the currently used proportional–integral–derivative (PID) control system. Numerical analyses are then conducted with a high-speed maglev train passing through a series of simply supported beams. The numerical results with the fuzzy PID active control are compared with the maglev train–bridge system with the equivalent linearized electromagnetic forces. The comparative results show that the introduction of the fuzzy PID control system has improved the comfort of the maglev train and that the overall dynamic response of the bridge is reduced. There is an obvious time delay for the maximum dynamic response of the bridge to the high speed of the train.
Highlights
Maglev transport is a type of transporting mode with electromagnetic forces as the main feature
Mpy€ À Csðy_sui À y_sdiÞ À Ksðysui À ysdiÞ þ Fmðz,iÞ 1⁄4 0 (7a) i1⁄41 i1⁄41 m1⁄41 where Mp is the mass of the maglev frame, y is the vertical displacement of the maglev frame, ysui is the vertical displacement of the maglev frame on the upper end of the ith vehicle body suspension system, ysdi is the vertical displacement of the maglev frame on the lower end of the ith vehicle body suspension system, and Fm(z, i) is the electromagnetic force generated on mth magnetic suspension blocks by the control system
Nonlinear electromagnetic controller is a necessary trend in the coupled dynamic analysis for the high-speed maglev train– bridge system
Summary
Maglev transport is a type of transporting mode with electromagnetic forces as the main feature. In the above studies about the couple vibration of the maglev vehicle–bridge dynamic system, different linear controllers were developed to model the interaction electromagnetic force between the maglev vehicle and the bridge. The maglev vehicle–bridge dynamic system is close-loop stable under small disturbances Various factors, such as the exceeded track irregularity, the large deformation of the bridge, the deformation incompatibility at multi-span bridge joints, and the strong vibration of the bridge caused by external loads such winds and earthquakes, could affect the linear control effects and further the dynamic responses of the maglev train and the bridge. After the fuzzy PID electromagnet active control system with stable control ability is designed, a coupled high-speed maglev train–bridge analysis model is established. (7a) i1⁄41 i1⁄41 m1⁄41 where Mp is the mass of the maglev frame, y is the vertical displacement of the maglev frame, ysui is the vertical displacement of the maglev frame on the upper end of the ith vehicle body suspension system, ysdi is the vertical displacement of the maglev frame on the lower end of the ith vehicle body suspension system, and Fm(z, i) is the electromagnetic force generated on mth magnetic suspension blocks by the control system (vertical upward is the positive side)
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