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Q. Show Effects of Saliency and Saturation?
Because of saliency, the reactancemeasured at the terminals of a salient-pole synchronousmachine as opposed to a cylindrical-rotor machine (with uniform air gap) varies as a function of the rotor position. The effects of saliency are taken into account by the two-reactance theory, in which the armature current ¯Ia is resolved into two components: Id in the direct or field axis, and Iq in the quadrature or interpolar axis. Iq will be in the time phase with the excitation speed voltage ¯Ef , whereas Id will be in time quadrature with ¯Ef . Direct- and quadrature-axis reactances (Xd and Xq) are then introduced to model the machine in two axes. While this involved method of analysis is not pursued here any further, the steady-state power-angle characteristic of a salient- pole synchronous machine (with negligible armature resistance) is shown in Figure. The resulting power has two terms: one due to field excitation and the other due to saliency. The maximum torque that can be developed is somewhat greater because of the contribution due to saliency.
Q. (a) Determine the voltage at A in Figure . (b) With V i = 10 V, R 1 = 10 k, R 2 = 1000 , and A = 100, find the current i .
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