Drive train able to be connected to an alternating current electrical network, comprising: - an electrical machine comprising a stator and a rotor, the stator being able to be connected electrically to the alternating current network and having a stator frequency (f stator), - a bidirectional system for converting an alternating electrical current into another alternating electrical current, able to be connected between the alternating current network and the rotor of the electrical machine, the bidirectional conversion system comprising: o a bidirectional converter for converting alternating current into direct current and able to be connected to the alternating current network, o a bidirectional inverter for converting direct current into alternating current and connected between the ac/dc converter and the rotor, the dc/ac inverter comprising controllable electronic switches suitable for converting a direct current voltage into an alternating current voltage, the dc/ac inverter and the rotor being, for each phase of the alternating current voltage, connected between them and an intermediate point, and o a device for controlling the switches of the dc/ac inverter following a control law, characterized in that it also comprises a band-stop filter for a target interval between 0.6 times the stator frequency (f stator) and 1.4 times the stator frequency (f stator), the band-stop filter being connected between the intermediate points and able to attenuate the voltage at the intermediate point for the frequencies of the target interval. - an electrical machine comprising a stator and a rotor, the stator being able to be connected electrically to the alternating current network and having a stator frequency (f stator), - a bidirectional system for converting an alternating electrical current into another alternating electrical current, able to be connected between the alternating current network and the rotor of the electrical machine, the bidirectional conversion system comprising: o a bidirectional converter for converting alternating current into direct current and able to be connected to the alternating current network, o a bidirectional inverter for converting direct current into alternating current and connected between the ac/dc converter and the rotor, the dc/ac inverter comprising controllable electronic switches suitable for converting a direct current voltage into an alternating current voltage, the dc/ac inverter and the rotor being, for each phase of the alternating current voltage, connected between them and an intermediate point, and o a device for controlling the switches of the dc/ac inverter following a control law, o a bidirectional converter for converting alternating current into direct current and able to be connected to the alternating current network, o a bidirectional inverter for converting direct current into alternating current and connected between the ac/dc converter and the rotor, the dc/ac inverter comprising controllable electronic switches suitable for converting a direct current voltage into an alternating current voltage, the dc/ac inverter and the rotor being, for each phase of the alternating current voltage, connected between them and an intermediate point, and o a device for controlling the switches of the dc/ac inverter following a control law,