A quad-T transformer in some embodiments includes a first split winding, a second split winding, and two orthogonal closed-loop windings coupled between the first split winding and the second split winding. Wires can be wound around magnetic cores. A first of the two orthogonal closed-loop windings is coupled to a first portion of each of the first split winding and the second split winding. A second of the two orthogonal closed-loop windings is coupled to a second portion of each of the first split winding and the second split winding. A bi-directional single-phase/three-phase converter includes the quad-T transformer and a Scott-T transformer with an output connected to a three-phase connection. The Scott-T transformer also has a 90-degree input connected to the quad-T transformer and a zero-degree input connected to a single-phase connection.