Systems and methods for providing cooling in compressed air storage power supply systems

A system and method for cooling electrical machines (e.g., generators), sub-systems (e.g., power electronics), and components (e.g., bearings) in an electrical generation system such as a compressed air storage (CAS) energy system or a thermal and compressed air storage (TACAS) energy system is provided. Cooling is derived from the thermal expansion of a compressed gas, which may be the same gas used to drive a turbine-generator of CAS or TACAS energy system.