A method is presented and described for compensating load peaks during the generating of electrical energy and/or for the generating of electrical energy by utilizing the heat of heated carrier gas (2) for the electricity generation, and/or for the utilization of the heat of heated carrier gas (2) for hydrogen generation, comprising the steps: heating of carrier gas (2), especially hot air, in at least one gas heater (4a-d), wherein hot carrier gas (2) with a specified target charge temperature exits from the gas heater (4a-d), thermal charging of at least one heat storage module (5a-d) of a plurality of heat storage modules (5a-d) of the storage power station (1) by releasing heat from the hot carrier gas (2) from the gas heater (4a-d) to a heat storage material of the heat storage module (5a-d), time-delayed thermal discharge of at least one heat storage module (5a-d), preferably of a plurality of heat storage modules (5a-d), wherein colder carrier gas (2), especially cold air, flows through at least one heat storage module (5a-d) and heat from the heat storage material is transferred to the colder carrier gas (2) for the heating of the carrier gas (2) and wherein heated carrier gas (2) with a specified discharge temperature exits from the heat storage module (5a-d), and utilization of the heat transferred to the carrier gas (2) in a process for electricity generation and/or hydrogen generation.