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1 Power Transformers For the consideration of transformers and transformer banks, we will limit ourselves to working in the per-unit system. Thus, the ideal transformer in the transformer equivalent circuit can be neglected in the nominal case. The equivalent impedance of a transformer, whether it be single-phase or three-phase, is typically provided on the nameplate in percent, or test data may be available to compute equivalent winding and shunt branch impedances. Developing the sequence networks for these devices is not terribly complicated, but does require attention to detail in the zero sequence case.
2 Reduction to the Balanced Case When the power system under analysis is operating under balanced conditions, the symmetrical components allow one to perform analysis on a single-phase network in a manner similar to per-phase analysis, even when mutual coupling is present. The details of the method are presented in this section. 1 Balanced Voltages and Currents Consider a balanced three-phase source operating with positive phase sequence. The voltages are defined below in Eq. 33). Upon computation of Eq.
Hence, Eq. 39) results. In the case of negative phase sequence operation, the zero and positive sequence voltages and currents are zero. This results in Eq. 40). È É S 3f ¼ 3 V 0 I *0 þ V 1 I *1 þ V 2 I *2 ¼ 3V 1 I *1 ¼ 3V a I a* (2:39) È É S 3f ¼ 3 V 0 I *0 þ V 1 I *1 þ V 2 I *2 ¼ 3V 2 I *2 ¼ 3V a I a* (2:40) Examination of Eqs. , the factor of 3 is present). This feature of the symmetrical component transformation defined herein is the primary reason that power invariance is not desired. ß 2006 by Taylor & Francis Group, LLC.