Abstract: A method is provided for operation of a converter circuit. The converter circuit has at least two phase modules, where each phase module has a first and a second sub-converter system, and the sub-converter systems for each phase module are connected in series with one another. Each sub-converter system includes a plurality of series-connected two-pole switching cells. In the method, the control signals for the switching cells are additionally formed from a damping signal. The damping signal is formed from a measured current through the respective sub-converter system and from a predeterminable resistance value, in order to attenuate undesirable currents in the sub-converter systems.