The present invention provides a set of induction accelerating cell for controlling acceleration of a charged particle beam and an induction accelerating device for controlling generation timing of an induced voltage applied by the induction accelerating cell in a synchrotron. The induction accelerating device in a synchrotron includes: an induction accelerating cell that applies an induced voltage; a switching power supply that supplies a pulse voltage to the induction accelerating cell via a transmission line and drives said induction accelerating cell; a DC power supply that supplies electric power to the switching power supply; and an intelligent control device including a pattern generator that generates a gate signal pattern for controlling on/off the switching power supply, and a digital signal processing device that controls on/off a gate master signal that becomes the basis of the gate signal pattern.