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The MAGLEV Transrapid is a kind of new type high speed train in the world which is levitated and guided over the track using electro- magnetic forces. Because the electro magnets are unstable, they have to be controlled. Since 2002 the worldwide first commercial use of such a high speed train based on German technology is running successfully in Shanghai Pudong Airport, P.R.China.
In this paper modeling of the high speed MAGLEV train Transrapid is discussed, which considered the whole mechanical system of one vehicle with optimized suspension parameters and all controlled electro magnet pairs in vertical and lateral directions. The dynamical simulation code is generated with MATLAB/SIMILINK. For the design of the control system, the optimal Linear Quadratic Control for minimum control energy is used for each single electro magnet. The simulation results are presented with the given vertical and lateral random track irregularities.
The research work was carried out together with Prof. Shen Gang, Ph.D. during the time Prof. Dr. Meisinger was visiting professor in Shanghai 2006 and Prof. Shu Guangwei, M.Sc. was visiting professor in Nuremberg 2007.
A magnetically levitated vehicle (MAGLEV) is simplified by a single mass system on a rigid guideway. The equations of motion of the electromechanical components are derived with LAGRANGE-function in state space notation. Because of the instability of the electromagnetic levitation system the vehicle must be actively controlled. The controller is de-signed by Linear Quadratic Control. An observer (KALMAN-Filter) is used to estimate the states which can not be measured or are influenced by noise. For the simulation of the controlled system the toolbox MATLAB is used. Simulation results for the time histories of the magnet gap and the accele-ration are given for a gap initial condition.
On May 6th 1971 the worldwide first MAGLEV vehicle was presented by Messerschmitt-Bölkow-Blohm (MBB) in Ottobrunn near Munich, Germany. Till the year 2000 different test and application MAGLEV vehicles followed, but no commercial use in Germany. Since December 31st 2002 the Shang-hai MAGLEV Transportation System is successfully in operation, as the worldwide first and only one commercial used MAGLEV line. The paper in honour of Prof. Dr.-Ing. Eveline Gottzein for her 80th birthday contains in the reference list her scientific publications about MAGLEV vehicle control systems.