Permanent magnet excited synchron generator, rotor defines reference system.
The generator is directly coupled to a (passive) rectifier. If an average-version of the rectifier is tolerable, no transforms at all are necessary. The simulation (for linear generator models) is fast. This is of particular importance for high speed machines, because the high frequency drastically slows down
integration in inertial abc-system.
See for example:
ACpower.p DCpower.p DCvoltage.v