According to an embodiment, a power management apparatus is provided with storage means, discharge plan creation means, discharge instruction means. The storage means stores a discharge amount of a power storage device to a distribution system, correspondingly to a prescribed parameter. The discharge plan creation means, when storable regenerative power is generated, creates a discharge plan to determine a discharge amount of the power storage device, from past data stored in the storage means, of regenerative power amount of a train and the discharge amount of the power storage device to the distribution system. The discharge instruction means outputs a discharge instruction to the power storage device.