A method and device for operating a direct converter circuit are provided. A control signal controls power semiconductor switches of switching cells of the associated phase module. The control signal is formed, for each phase module, from the difference between a reference signal relating to the voltage over the phase module and a voltage signal over the inductor. The voltage signal over the inductor is formed from a reference signal relating to the current through the corresponding phase module. The reference signal relating to the current through the phase module is formed from a respective mean value or instantaneous value of a phase power of a phase of the first and second current or voltage systems connected to the phase module and from respective sums of the instantaneous values or the mean values of the phase powers of the phases of the first and second current or voltage systems, respectively.