A modular stator adapted to be used in a transverse flux electrical machine (TFEM) includes a plurality of phase modules comprising respective halves sized and designed to receive therein a plurality of cores about a rotational axis. The phase modules are adapted to be assembled together to produce a multi-phase stator and disassembled to replace or maintain a phase module. The phase modules are configured to be angularly shifted from one another to produce a multi-phase TFEM. A TFEM phase assembly and a kit of phases components sized and designed to assemble a multi-phase stator are also encompassed by the present application.