Aircraft electrification has been in the spotlight of scientific research for several decades. Recently, the technological development has made possible the realization of highly electrified aircraft, which ensure better quality of service as well as reduced pollution. In this framework, this talk briefly overviews the state of the art of the electrical power distribution system onboard the modern aircraft. Afterwards, the impedance modeling of the multi-port power electronics and electric drives, which constitute the main components of the electrical power system, are described. A few advanced control possibilities and an outlook for future research concludes the presentation.