Method and system for periodic cooling, storing and heating with multiple regenerators

Disclosed are a method and system involving pressurizing an atmospheric gas stream to form at least a compressed atmospheric gas stream, directing the compressed atmospheric gas stream to a first regenerator for cooling, pressurizing to above a second predetermined pressure to form at least a supercritical atmospheric gas stream, directing the supercritical atmospheric gas stream to a second regenerator for cooling, reducing pressure to form at least a liquefied atmospheric gas stream, selectively storing the liquefied atmospheric gas stream, pressurizing the liquefied atmospheric gas stream to form at least a pressurized liquefied atmospheric gas stream, heating the pressurized liquefied atmospheric gas stream in the second regenerator to form at least a heated stream, expanding the heated stream to form at least a medium pressure atmospheric gas stream, directing the medium pressure atmospheric gas stream to the first regenerator, and heating the medium pressure atmospheric gas stream in the first regenerator.