A reversible converter includes a first field effect transistor and a second field effect transistor coupled in series between a first terminal and a second terminal for a DC voltage. A first thyristor and a second thyristor are coupled in series between the first and second terminals for the DC voltage. A third thyristor and a fourth thyristor are also coupled in series between the first and second terminals for the DC voltage terminals, but have an opposite connection polarity with respect to the first and second thyristors. A midpoint of connection between the first and second field effect transistors and a common midpoint of connection between the first and second thyristors and the third and fourth thyristors are coupled to AC voltage terminals. Actuation of the transistors and thyristors is controlled in distinct manners to operate the converter in an AC-DC conversion mode and a DC-AC conversion mode.