A converter arrangement has at least one AC voltage connection, at which an alternating current can be fed in or drawn, and at least one DC voltage connection, at which a direct current can be fed in or drawn. The converter arrangement contains at least two series circuits connected in parallel. The external connections of the series circuits form the DC voltage connections of the converter arrangement. Each of the series circuits is connected in parallel and contains in each case at least two submodules connected in series, each of the submodules containing at least two switches and a capacitor. An energy store is to be connected to the capacitor of at least one of the submodules, wherein a filter is connected electrically between the capacitor and the energy store.