The present disclosure is directed to modular microgrids and more particularly to core modules that comprise self-synchronizing devices that can connect and self-synchronizes voltage, frequency and phase with other power sources. The disclosed embodiments enable a modular power system to serve as the primary or secondary source of power for applications requiring loads from a few kilowatts (kW) to the scale of megawatts (MW). The modular system is generalized to use either a single or multiple power generation sources at once, with the ability to connect and self-synchronize voltage, frequency, and phase of a variety of different types of power sources. Power control systems designed to function with self-synchronizing technology enable a modular power system to satisfy a wide variety of needs and enable new features of resiliency and expandability.