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Numerical simulation of the superconducting magnetically levitated bogie (JR Maglev) has been studied. The electrodynamic suspension is used for levitation and guidance. Although this suspension needs no gap control, the damping factor of the system is shown to be small. In Japan, the ground condition is not good. When the bogie passes the vertical displacement of the guideway, oscillation of the bogie occurs. And this oscillation does not converge immediately. The damper coil system is introduced to increase damping of the levitation system. Running simulation of the bogie when the bogie passes the guideway displacement is undertaken. The damper coil decreases the oscillation of the bogie. To increase the damping factor, the semi-active system is considered. This system shows large effect against oscillation of the bogie.