Matrix converter, which is connected firstly to a first polyphase AC voltage grid and secondly to a second polyphase AC voltage grid, • comprising first inductive circuit elements (Su1, Sv1, Sw1), which are each connected to the first AC voltage grid, and second inductive circuit elements (Su2, Sv2, Sw3), which are each connected to the second AC voltage grid, • comprising a switching matrix, which connects those ends (Eu1, Ev1, Ew1) of the first inductive circuit elements (Su1, Sv1, Sw1) which are remote from the first AC voltage grid to those ends (Eu2, Ev2, Ew2) of the second inductive circuit elements (Su2, Sv2, Sw2) which are remote from the second AC voltage grid, wherein • the switching matrix comprises controllable converter units (Uu1, Uv1, Uw1; Uu2, Uv2, Uw2), • comprising a closed-loop control arrangement, which is connected to control inputs of the controllable converter units (Uu1, Uv1, Uw1; Uu2, Uv2, Uw2), • wherein measured current and voltage values of the first and second AC voltage grids (N1, N2) are applied to the closed-loop control arrangement, and • wherein in each case one second converter unit (Uu2, Uv2, Uw2) in an embodiment as a controllable AC voltage source is connected between those ends (Eu1, Ev1, Ew1) of the first inductive circuit elements (Su1, Sv1, Sw1) which are remote from the first AC voltage grid and those ends (Eu2, Ev2, Ew2) of the second inductive circuit elements (Su2, Sv2, Sw2) which are remote from the second AC voltage grid, characterized in that • in each case one first converter unit (Uu1, Uv1, Uw1) in an embodiment as a controllable AC voltage source is arranged between those ends (Eu1, Ev1, Ew1) of the first inductive circuit elements (Su1, Sv1, Sw1) which are remote from the first AC voltage grid and ground potential, and • the closed-loop control arrangement is connected to control inputs of the first and second converter units (Uu1, Uv1, Uw1; Uu2, Uv2, Uw2) in such a way that the electrical power flowing to the matrix converter is equal to the electrical power flowing out of the matrix converter. • comprising first inductive circuit elements (Su1, Sv1, Sw1), which are each connected to the first AC voltage grid, and second inductive circuit elements (Su2, Sv2, Sw3), which are each connected to the second AC voltage grid, • comprising a switching matrix, which connects those ends (Eu1, Ev1, Ew1) of the first inductive circuit elements (Su1, Sv1, Sw1) which are remote from the first AC voltage grid to those ends (Eu2, Ev2, Ew2) of the second inductive circuit elements (Su2, Sv2, Sw2) which are remote from the second AC voltage grid, wherein • the switching matrix comprises controllable converter units (Uu1, Uv1, Uw1; Uu2, Uv2, Uw2), • the switching matrix comprises controllable converter units (Uu1, Uv1, Uw1; Uu2, Uv2, Uw2), • comprising a closed-loop control arrangement, which is connected to control inputs of the controllable converter units (Uu1, Uv1, Uw1; Uu2, Uv2, Uw2), • wherein measured current and voltage values of the first and second AC voltage grids (N1, N2) are applied to the closed-loop control arrangement, and • wherein measured current and voltage values of the first and second AC voltage grids (N1, N2) are applied to the closed-loop control arrangement, and • wherein in each case one second converter unit (Uu2, Uv2, Uw2) in an embodiment as a controllable AC voltage source is connected between those ends (Eu1, Ev1, Ew1) of the first inductive circuit elements (Su1, Sv1, Sw1) which are remote from the first AC voltage grid and those ends (Eu2, Ev2, Ew2) of the second inductive circuit elements (Su2, Sv2, Sw2) which are remote from the second AC voltage grid, characterized in that • in each case one first converter unit (Uu1, Uv1, Uw1) in an embodiment as a controllable AC voltage source is arranged between those ends (Eu1, Ev1, Ew1) of the first inductive circuit elements (Su1, Sv1, Sw1) which are remote from the first AC voltage grid and ground potential, and • the closed-loop control arrangement is connected to control inputs of the first and second converter units (Uu1, Uv1, Uw1; Uu2, Uv2, Uw2) in such a way that the electrical power flowing to the matrix converter is equal to the electrical power flowing out of the matrix converter.