An apparatus for transmitting electrical energy with a superconducting current carrier, in which the current carrier to be cooled is accommodated in a first cooling channel, which first cooling channel is connected by way of a coolant feed line to a supply device for a first cooling medium and is equipped with a heat shield, which surrounds the first cooling channel and is thermally connected to at least one second cooling channel, through which a second cooling medium flows, wherein a supercooled, liquefied gas is used as the first cooling medium,
- wherein a liquefied gas is used as the second cooling medium, and the at least one second cooling channel is equipped with at least one gas phase separator;
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- wherein the at least one gas phase separator comprises a container which is flow-connected to the at least one second cooling channel and the geodetically upper portion of which is flow-connected to an exhaust-gas line for removing the gas phase.