An electrical supply system for an aircraft includes a generator having a neutral point, an AC network, a bipolar DC network, and a neutral point clamped converter. The neutral point is connected to ground, in at least one operating mode. The converter has an AC side with AC connectors couplable with at least one phase of the generator. The converter also has a DC side with a first DC connector, a second DC connector and a neutral DC connector. The AC side of the converter is coupled with the generator, the DC side is coupled with the bipolar DC network, and the neutral DC connector is connected to ground. The convertor provides a DC voltage on the DC side upon receiving an AC voltage on the AC side, and provides an AC voltage on the AC side upon receiving a DC voltage on the DC side.