The systems and methods integrate energy storage with cryogenic carbon capture, providing effective grid management and energy-efficient carbon capture capabilities to power plants. The systems store energy during off-peak demand by using off-peak energy to compress natural gas to form liquefied natural gas (LNG) and storing the LNG for use as a refrigerant. The systems use the stored LNG as a refrigerant in a cryogenic carbon capture (CCC) process to isolate carbon dioxide from light gases in a flue gas. The systems supply energy during peak demand by burning the natural gas warmed by the CCC process to generate power.