Converter (10, 101, 102) for the output of reactive power, comprising a first, a second and a third phase branch (1, 2, 3), wherein the three phase branches (1, 2, 3) can each be connected to an associated phase of an alternating voltage supply network, and are delta-connected to one another, wherein each of the phase branches comprises a phase module (7, 9, 11) with a series circuit of two-pole submodules, wherein each submodule comprises an energy store and at least one power semiconductor, and can be driven in such a way that at least one positive or at least one negative submodule voltage, or a voltage with the value zero, is dropped across the poles (X 1, X 2) of the submodule, and a voltage dropped across each phase module (7, 9, 11) corresponds to the sum of the submodule voltages dropped across its submodules, wherein the submodules are constructed as full-bridge circuits,wherein the second and the third phase branches (2, 3) are connected to the phases of the alternating voltage supply network assigned to them by means of coupling inductances, and the first and the third phase branches (1, 3) are electrically connected together by a magnetically coupled first choke pair comprising a first and a second end connection (23, 24) as well as a center connection, wherein the three connections (23, 24, 25) of the first choke pair are connected in an arbitrary combination with the first phase branch, the third phase branch and with the phase of the alternating voltage supply network that is assigned to the first phase branch, wherein furthermore a control device is provided for control of phase module currents, comprising - current controllers assigned to the phase modules, - a decoupling unit arranged upstream of the current controllers for computationally decoupling control differences during control of the phase module currents in respect of the mutual dependence of the phase module currents on account of the magnetic coupling in the first choke pair, in such a way that decoupled computer actuating variables (U'AB, U'BC, U'CA) can be derived from the decoupled control differences by means of the current controller, - a coupling unit which is arranged downstream of the current controllers for correcting the decoupled computer actuating variables in accordance with the magnetic coupling of the first choke pair so as to obtain corrected actuating voltages (UstellAB, UstellBC, ustellCA), and - a control unit for driving the submodules, so that the voltages which are dropped across the phase modules can be adjusted in such a way that they correspond to the corrected actuating voltages. each of the phase branches comprises a phase module (7, 9, 11) with a series circuit of two-pole submodules, wherein each submodule comprises an energy store and at least one power semiconductor, and can be driven in such a way that at least one positive or at least one negative submodule voltage, or a voltage with the value zero, is dropped across the poles (X 1, X 2) of the submodule, and a voltage dropped across each phase module (7, 9, 11) corresponds to the sum of the submodule voltages dropped across its submodules, wherein the submodules are constructed as full-bridge circuits,wherein each submodule comprises an energy store and at least one power semiconductor, and can be driven in such a way that at least one positive or at least one negative submodule voltage, or a voltage with the value zero, is dropped across the poles (X 1, X 2) of the submodule, and a voltage dropped across each phase module (7, 9, 11) corresponds to the sum of the submodule voltages dropped across its submodules, wherein the submodules are constructed as full-bridge circuits,wherein the three connections (23, 24, 25) of the first choke pair are connected in an arbitrary combination with the first phase branch, the third phase branch and with the phase of the alternating voltage supply network that is assigned to the first phase branch, wherein - current controllers assigned to the phase modules, - a decoupling unit arranged upstream of the current controllers for computationally decoupling control differences during control of the phase module currents in respect of the mutual dependence of the phase module currents on account of the magnetic coupling in the first choke pair, in such a way that decoupled computer actuating variables (U'AB, U'BC, U'CA) can be derived from the decoupled control differences by means of the current controller, - a coupling unit which is arranged downstream of the current controllers for correcting the decoupled computer actuating variables in accordance with the magnetic coupling of the first choke pair so as to obtain corrected actuating voltages (UstellAB, UstellBC, ustellCA), and - a control unit for driving the submodules, so that the voltages which are dropped across the phase modules can be adjusted in such a way that they correspond to the corrected actuating voltages.