A damping system includes a flywheel motor device, a generator device, a flywheel power storage device and a power coupler device. When mechanical power generated by the flywheel motor device increases or remains constant, the power coupler device couples the mechanical power generated by the flywheel motor device to the generator device and the flywheel power storage device. When mechanical power generated by the flywheel motor device decreases, the power coupler device couples the mechanical power generated by the flywheel motor device and mechanical power outputted by the flywheel power storage device to the generator device.