Methods and systems for bi-directional multi-port power conversion systems and applications are disclosed. In some sample embodiments, current-modulating power converters can be used to provide conversion between synchronous and asynchronous power. In some sample embodiments, current-modulating power converters can perform power conversion can be performed to and from three-phase AC with an active neutral line. In some sample embodiments, current-modulating power converters can convert between synchronous and asynchronous power and also support three-phase AC with active neutral.