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Equivalent Circuit Model of a Round-Rotor Synchronous Machine

The equivalent circuit model of a round-rotor synchronous machine represents each stator phase winding as a generated (excitation) voltage source in series with winding resistance and a synchronous reactance (self- plus mutual-inductance term), derived from the machine's electromagnetic flux-linkage relationships between the field winding and the three-phase stator windings. The model formalizes how the frequency of generated voltage depends on rotor speed and pole number, how the field winding's rotation induces sinusoidal, balanced three-phase voltages 120 degrees apart, and how, under steady-state balanced operation, the stator currents produce an equivalent constant-flux effect in the rotating rotor reference frame. This belongs to electrical power engineering's treatment of synchronous machine theory, foundational to power system analysis of generator behavior under load.