System comprising: a. a liquid air energy storage and power plant apparatus having i. a charging component comprising a compressor for compressing supplied air and comprising a liquefier, which adjoins said compressor and which serves for liquefying the air, ii. a storage component comprising an air storage for storing the liquefied air, and iii. a discharging component comprising an evaporation apparatus for converting liquid air into gaseous compressed air, and comprising an expansion apparatus which serves for expanding the compressed air and which has a turbine and a generator which is connected to the turbine, wherein heat energy is supplied to the evaporation apparatus via a first heat line; characterized by b. an apparatus for permanent water electrolysis having at least one first heat exchanger (94, 96), by means of which the heat energy generated during electrolysis is absorbed by a fluid flowing through the first heat exchanger (94, 96), which first heat exchanger (94, 96) is connected to the first heat line in such a way that the heat energy generated during electrolysis is dissipated via the first heat exchanger (94, 96) by means of the fluid as well as that heat energy is fed to the evaporation apparatus via the first heat line, wherein the temperature of the fluid is between 40°C and 90°C in the evaporation apparatus. a. a liquid air energy storage and power plant apparatus having i. a charging component comprising a compressor for compressing supplied air and comprising a liquefier, which adjoins said compressor and which serves for liquefying the air, ii. a storage component comprising an air storage for storing the liquefied air, and iii. a discharging component comprising an evaporation apparatus for converting liquid air into gaseous compressed air, and comprising an expansion apparatus which serves for expanding the compressed air and which has a turbine and a generator which is connected to the turbine, wherein heat energy is supplied to the evaporation apparatus via a first heat line; characterized by i. a charging component comprising a compressor for compressing supplied air and comprising a liquefier, which adjoins said compressor and which serves for liquefying the air, ii. a storage component comprising an air storage for storing the liquefied air, and iii. a discharging component comprising an evaporation apparatus for converting liquid air into gaseous compressed air, and comprising an expansion apparatus which serves for expanding the compressed air and which has a turbine and a generator which is connected to the turbine, wherein heat energy is supplied to the evaporation apparatus via a first heat line; b. an apparatus for permanent water electrolysis having at least one first heat exchanger (94, 96), by means of which the heat energy generated during electrolysis is absorbed by a fluid flowing through the first heat exchanger (94, 96), which first heat exchanger (94, 96) is connected to the first heat line in such a way that the heat energy generated during electrolysis is dissipated via the first heat exchanger (94, 96) by means of the fluid as well as that heat energy is fed to the evaporation apparatus via the first heat line, wherein the temperature of the fluid is between 40°C and 90°C in the evaporation apparatus.