A method for operating a regenerative heat storage arrangement, wherein the heat storage arrangement has a gas heater for heating a carrier gas; a heat storage row with multiple heat storage modules; and at least one compressor. During a loading cycle, carrier gas heated in the gas heater flows through at least one heat reservoir module, which is thermally charged by the transfer of heat from the heated carrier gas to a heat storage material of the heat reservoir module. The carrier gas is cooled during the charging process. If, after the charging of a heat reservoir module, the carrier gas temperature reaches or exceeds a minimum charging temperature for a subsequent heat reservoir module, the carrier gas is fed to the subsequent heat reservoir module for charging. The carrier gas is recirculated back to the gas heater if the carrier gas temperature falls below the minimum charging temperature.