An exemplary converter circuit has a converter unit with plural actuatable power semiconductor switches, and the DC voltage side of which is connected to a capacitive energy storage circuit. The capacitive energy storage circuit has at least one capacitive energy store and at least one snubber network for limiting the rate of current or voltage rise on the actuatable power semiconductor switches of the converter unit. In order to reduce undesirable oscillations in an overcurrent in the capacitive energy storage circuit, the capacitive energy storage circuit has at least one passive nonactuatable damping unit having a unidirectional current-flow direction, where the passive nonactuatable damping unit has a diode and a damping resistor.