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1.5.4 Parametric Variation of Damper Winding, Kq

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With the increase in damper winding resistance rKq, small variation was noted on real component of stator eigenvalue in three-phase generator. But in six-phase generator, it was increased by 50% in stator eigenvalue I (and slight increase in stator eigenvalue II), as shown in Figures 1.17a and 1.18a, respectively. On rotor side, real part of eigenvalue was increased by 46.2% and 49% for both three- and six-phase generator, as shown in Figures 1.17a and 1.18b, respectively. A major effect was found on real eigenvalue II which was decreased by 112% and 82.2% for three-phase and six-phase generator as shown in Figures 1.17c and 1.18d, respectively. In three-phase generator, no change was noted in eigenvalue I and III as shown in Figures 1.17b and d, respectively. But in case of six-phase generator, slight variation was found in real eigenvalue I and III, as shown in Figures 1.18c and e, respectively. During the analysis, it was noted that the effect of variation in the value of reactance xlKq was only found in real eigenvalue II, with no variation on other eigenvalues, hence not shown. Value of real eigenvalue II was increased by 45.7% and 48.2% for three- and six-phase generator as shown in Figures 1.19a and b, respectively.

Figure 1.17 Variation in eigenvalue of three-phase synchronous machine with damper resistance change along q-axis (a) stator and rotor eigenvalue, (b) real eigenvalue I, (c) real eigenvalue II, (d) real eigenvalue III.


Figure 1.18 Variation in eigenvalue of six-phase synchronous machine with damper resistance change along q-axis (a) stator eigenvalue I and II, (b) rotor eigenvalue, (c) real eigenvalue I, (d) real eigenvalue II, (e) real eigenvalue III.

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