NOVELTY - The method for supplying and removing energy in a power supply network by adiabatic compression of air, is claimed, where a storage of the compressed air as well as an operation of a gas turbine (1) as internal combustion engine is performed by removing the air from a storage and by a gaseous fuel for a gas turbine. A fuel for the gas turbine is carried out by electrolysis of hydrogen. The adiabatic storage of hydrogen is performed by a storage cavern (4) and by a thermal energy occurring in the electrolysis and/or the storage of hydrogen. The hydrogen is used as a gaseous fuel.    USE - The method is useful for supplying and removing energy in a power supply network by adiabatic compression of air.    ADVANTAGE - The method is capable of simply, effectively and economically supplying and removing energy in the power supply network by adiabatic compression of air.    DETAILED DESCRIPTION - The method for supplying and removing energy in a power supply network by adiabatic compression of air, is claimed, where a storage of the compressed air as well as an operation of a gas turbine (1) such as internal combustion engine is performed by removing the air from a storage and by a gaseous fuel for a gas turbine. A fuel for the gas turbine is carried out by electrolysis of hydrogen. The adiabatic storage of hydrogen is performed by a storage cavern (4) and by a thermal energy occurring in the electrolysis and/or the storage of hydrogen. The hydrogen is used as a gaseous fuel. A load-dependent parallel extraction of the compressed air and the hydrogen is obtained from the respective storages. A waste heat of the gas turbine is utilized for generating electricity using a water-/steam circulation having a steam turbine downstream the gas turbine. A parallel operation of a fuel cell or an assembly of fuel cells is provided under partial utilization of the electrolytically produced hydrogen. A fuel cell exhaust gas is supplied to a combustion chamber of the gas turbine. Oxygen occurring in the electrolysis is fed to the combustion chamber of the gas turbine. The steam turbine is obtained from an extraction steam, and is fed to the gas turbine. An INDEPENDENT CLAIM is included for a gas turbine power plant storage for supplying and removing energy in a power supply network by adiabatic compression of air.    DESCRIPTION OF DRAWING(S) - The diagram shows a schematic flow chart of a method for supplying and removing energy in a power supply network by adiabatic compression of air.    Gas turbine combustion chamber (1)    Expansion turbine (2)    Generator (3)    Storage cavern (4)    Hydrogen feed line. (5)