Derivation of the Basic Constants of Three-Phase Inductor Alternators in Terms of Winding Parameters

A mathematical analysis has been made to determine the constants of three-phase inductor alternators in terms of winding parameters. The flux distribution in the air gap on the basis of harmonic permeance distribution due to both stator and rotor slot openings has been found. Self- and mutual inductances of phase and field windings have been determined in terms of machine constants. Expressions for direct- and quadrature-axis synchronous reactances have been determined in terms of machine constants, as in the case of a salient-pole synchronous machine. An equivalent circuit has been established and performance has been calculated for a typical alternator of this type.