Network portion of a transmission network that extends over a geographical area, comprising a plurality of network paths (A; C) via which transmission signals can be transmitted; and comprising a group of network stations which are distributed over the geographical area and are each arranged in an associated network path or at an associated network node or form a relevant network node, the network stations each comprising an electronic functional arrangement which fulfils at least one function that relates to the signals transmitted via the network; it being possible to remotely supply the network stations with electric power from at least one feeder station of the network portion via an energy supply connection formed of network paths and/or power supply paths of a power supply network associated with the network portion, in order to provide electrical energy for the operation of the electronic functional arrangement of the relevant network station; the network stations of the group of network stations or at least a plurality of network stations of a subgroup of the group of network stations each comprising the following features: - the network station is equipped with at least one rechargeable energy storage arrangement for storing electrical energy, - the energy storage arrangement can be charged with a charging current by means of an associated charging and discharging arrangement on the basis of the electrical current (I NS) delivered by the feeder station and can be discharged by means of the charging and discharging arrangement, - a power supply arrangement comprising the charging and discharging arrangement is designed, in a first operative state, to supply the electronic functional arrangement with electrical energy on the basis of the electrical current (I NS) delivered by the feeder station, and, in a second operative state, to supply the electronic functional arrangement with electrical energy on the basis of the electrical energy stored in the energy storage arrangement, - the charging and discharging arrangement of the power supply arrangement can be switched between a plurality of states, comprising a charge state, in which the energy storage arrangement is charged, a discharge state, in which the energy storage arrangement is discharged, and a standby state, in which the energy storage arrangement is neither charged nor discharged, characterised in that the network stations equipped in each case with a rechargeable energy storage arrangement, in relation to the switching of the relevant charging and discharging arrangement thereof between the charge state, the standby state and the discharge state, are configured such that the sum of the power consumption of all the network stations supplied remotely by the feeder station, in the form of the currents (I NS (i)) supplied to the network stations by the feeder stations and comprising a current portion (I NS-B (i)) for operating the relevant electronic functional arrangement and a current portion (I NS-L (i)) that is added to said current portion during charging of the relevant energy storage arrangement, at no point exceeds a defined maximum value I Max, I Max being less than a current which corresponds to the sum of all the currents (I NS (i) = I NS-B (i) + I NS-L (i)) delivered to the network stations by the feeder station in the event of simultaneous charging of all the energy storage arrangements. - the network station is equipped with at least one rechargeable energy storage arrangement for storing electrical energy, - the energy storage arrangement can be charged with a charging current by means of an associated charging and discharging arrangement on the basis of the electrical current (I NS) delivered by the feeder station and can be discharged by means of the charging and discharging arrangement, - a power supply arrangement comprising the charging and discharging arrangement is designed, in a first operative state, to supply the electronic functional arrangement with electrical energy on the basis of the electrical current (I NS) delivered by the feeder station, and, in a second operative state, to supply the electronic functional arrangement with electrical energy on the basis of the electrical energy stored in the energy storage arrangement, - the charging and discharging arrangement of the power supply arrangement can be switched between a plurality of states, comprising a charge state, in which the energy storage arrangement is charged, a discharge state, in which the energy storage arrangement is discharged, and a standby state, in which the energy storage arrangement is neither charged nor discharged,