Hybrid-Parameter Models of Synchronous Machines

The classical two-axis model of the synchronous machine governed by Park\´s equations is expanded by\´ viewing the magnetic-field couplings along each axis as multiports characterized by typical matrices whose elements are pertinent open-circuit, short-circuit, hybrid parameters and system functions associated with specific port constraints. Four equivalent state models are presented. A hybrid dynamical model that uses the "constants" of the machine and represents rotor currents and fluxes by equivalent voltages is developed in the forms of state equations and analog computer representations as well as phasor diagrams based upon ignoring armature dynamics.