Reactance of Synchronous Machines and its Applications

Abstract

OF PAPER Part I treats of the calculation and application of the armature self-inductive reactance of synchronous machines. A short, reliable method is given in the form of curves, Figs. 20A, B, C, making the calculation from design sheet data a matter of a few minutes. Table I shows a comparison of calculated and test values (obtained from saturation and synchronous impedance curves) for 138 machines, ranging from high-speed turbine generators to the low-speed engine type.Three points were brought out during the investigation:(1) That in polyphase machines, the armature self-inductive reactance, just as the armature reaction, is a polyphase, not a single-phase phenomenon, and therefore the mutual induction of phases in a three-phase machine increases the effective selfinduction of each phase by approximately 50 per cent over the single phase value, while in two-phase machines, in which the mutual induction of phases is zero, the effective self-induction of the phase is the same for two-phase or single-phase operation.(2) That the variation of armature reactance during the cycle, due to salient-pole construction, is practically eliminated in Yconnected, three-phase machines for the reason that the variation, consisting almost entirely of a third harmonic, is cancelled in such machines. This leaves, in effect, a uniform reluctance for the leakage flux emanating from the tooth tips.(3) That in the familiar method of obtaining the armature self-induction from the saturation and synchronous impedance curves (i.e., by subtracting the armature reaction, that is, the de-

Simplified Current-Equivalent Circuit Models of Synchronous Reluctance Machines and Salient Pole Synchronous Machines Considering the Reluctance Torque

“…The common approach for modeling salient poles is the use of Blondel's two-reaction theory [1]. It has become widespread through other studies, such as those of Doherty and Nickle on studying spatial harmonics of the flux density distribution in synchronous machines [29][30][31][32] and later by Park [2][3][4], together with the Park transform, which simplifies the modeling of the rotating dq-frame.…”