A power converter circuit and associated triggering method for connecting a three-phase generator to an electrical network. The circuit includes a first direct connection of the generator to the network and a second connection of the generator to the network, through a four-quadrant converter which includes a first power converter, whose alternating voltage terminals are connected to the generator, and a second power converter, whose alternating voltage terminals are connected to the network. The triggering method for power compensation in the event of a short circuit is such that in a first period of time after the short, the second power converter outputs reactive power into the network; in a second period of time, the power converter feeds reactive power back into the network; and in a third period of time, the entire four-quadrant converter controls the gentle restarting, without loading the network with reactive power from the generator.