Method for operating a regenerative heat storage arrangement and heat storage arrangement

A method for operating a regenerative heat storage arrangement, wherein the heat storage arrangement has at least one gas heater for heating a carrier gas, in particular for heating air, a heat storage row with a plurality of heat storage modules and at least one compressor, wherein during a loading cycle at least one heat storage module, preferably a plurality of subsequent heat storage modules of the heat storage row, is traversed by carrier gas heated in the gas heater and is thermally loaded by heat transfer from the heated carrier gas to a heat storage material of the heat storage module and the carrier gas is cooled during loading, wherein the carrier gas, if the carrier gas temperature after loading a heat storage module reaches or exceeds a minimum loading temperature of a subsequent heat storage module in the heat storage row, is fed to the subsequent heat storage module for loading, and wherein a circulation of the carrier gas is provided if the carrier gas temperature falls below the minimum loading temperature of the subsequent heat storage module, and the carrier gas is fed to the compressor during the recirculation and, after compression, is returned to the gas heater for renewed heating of the carrier gas, wherein a minimum loading temperature above a permissible setpoint temperature at the compressor inlet is selected and wherein the carrier gas is cooled during the recirculation before entering the compressor if the carrier gas temperature is above the permissible setpoint temperature at the compressor inlet.