-Method for managing an electrical network of a railway network, the electrical network comprising at least one central unit and a plurality of electrical supply substations, the electrical supply substations being connected to a means for supplying power to one or more railway vehicles, the electrical supply substations being able to convert a second electrical current suitable for flowing on the power supply means and having a use voltage in a first electrical current having a transport voltage when the railway vehicle(s) operate in the braking energy recovery mode, the electrical supply substations each comprise one or more sensors (11, 12), the sensor(s) being connected to one or more local computing units, the local computing units do not include any local human-machine interface for analysing or displaying the values of the sensors and the local computing units being capable of being connected to a computer network, the central unit comprising a communication module capable of being connected to the local computing units via the computer network, the method comprising steps consisting in: receiving, by the central unit, from the local computing unit(s) of the electrical supply substations, a plurality of measured data, the measured data comprising the intensity of a current and/or a voltage value supplied to and/or received from the power supply means; storing, by the central unit, measured data, the stored measured data being associated with a capture time; receiving, by the central unit, one or more instantaneous measured values of the intensity of the current and/or of the voltage supplied to and/or received from the power supply means; characterised in that the method furthermore comprises the steps consisting in: calculating, by the central unit, at least one estimated value of the instantaneous measured value(s), from the stored measured data; comparing, at the central unit, the instantaneous measured value(s) with the estimated value(s); sending, by the central unit, a control signal to the electrical supply substation, as a function of the comparison of the instantaneous value(s) with the estimated value(s); and upon receiving the control signal, the electrical supply substation controls at least one item of electrical equipment of the electrical supply substation as a function of the control signal, wherein if the central unit detects, during a comparison of an instantaneous current and/or voltage value, that an error has occurred, it executes a sequence to put the power supply means into degraded mode. receiving, by the central unit, from the local computing unit(s) of the electrical supply substations, a plurality of measured data, the measured data comprising the intensity of a current and/or a voltage value supplied to and/or received from the power supply means; storing, by the central unit, measured data, the stored measured data being associated with a capture time; receiving, by the central unit, one or more instantaneous measured values of the intensity of the current and/or of the voltage supplied to and/or received from the power supply means; characterised in that the method furthermore comprises the steps consisting in: calculating, by the central unit, at least one estimated value of the instantaneous measured value(s), from the stored measured data; comparing, at the central unit, the instantaneous measured value(s) with the estimated value(s); sending, by the central unit, a control signal to the electrical supply substation, as a function of the comparison of the instantaneous value(s) with the estimated value(s); and upon receiving the control signal, the electrical supply substation controls at least one item of electrical equipment of the electrical supply substation as a function of the control signal, wherein if the central unit detects, during a comparison of an instantaneous current and/or voltage value, that an error has occurred, it executes a sequence to put the power supply means into degraded mode. calculating, by the central unit, at least one estimated value of the instantaneous measured value(s), from the stored measured data; comparing, at the central unit, the instantaneous measured value(s) with the estimated value(s); sending, by the central unit, a control signal to the electrical supply substation, as a function of the comparison of the instantaneous value(s) with the estimated value(s); and upon receiving the control signal, the electrical supply substation controls at least one item of electrical equipment of the electrical supply substation as a function of the control signal, wherein if the central unit detects, during a comparison of an instantaneous current and/or voltage value, that an error has occurred, it executes a sequence to put the power supply means into degraded mode.