In a method for operating an inverter assembly and inverter assembly for carrying out the method, to reduce the risk of triggering a ground fault circuit interrupter, before feeding in the alternating voltage, the leakage capacitance to ground is determined at the DC input of each inverter, and which AC output is connected to which line of the supply network is determined, and, taking into consideration the leakage capacitance and a defined maximum leakage current and the connection situation at the AC output, the power units are asymmetrically modulated so that the amplitudes of the voltages at the AC outputs of the power units differ in size. The voltage with the greater amplitude comes about at the AC output of this power unit connected to the phase connection. The voltage with the lower amplitude comes about at the AC output of the power unit connected to the neutral conductor.