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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
3-19.      Prove that the three-phase system of voltages on the secondary of the Y-D transformer shown in Figure 3- 37b lags the three-phase system of voltages on the primary of the transformer by 30°.
3-20.      Prove that the three-phase system of voltages on the secondary of the D-Y transformer shown in Figure 3- 37c lags the three-phase system of voltages on the primary of the transformer by 30°.
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3-21. A single-phase 10-kVA 480/120-V transformer is to be used as an autotransformer tying a 600-V distribution line to a 480-V load. When it is tested as a conventional transformer, the following values are measured on the primary (480-V) side of the transformer:
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Open-circuit test           Short-circuit test
VOCÂ Â = 480 VÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â VSCÂ Â = 10.0 V
IOCÂ Â = 0.41 AÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â ISCÂ Â = 10.6 A
  VOC  = 38 W                    PSC  = 26 W                 Â
(a)Â Â Â Â Â Find the per-unit equivalent circuit of this transformer when it is connected in the conventional manner. What is the efficiency of the transformer at rated conditions and unity power factor? What is the voltage regulation at those conditions?
(b)Â Â Â Â Â Sketch the transformer connections when it is used as a 600/480-V step-down autotransformer.
(c)Â Â Â Â Â What is the kilovoltampere rating of this transformer when it is used in the autotransformer connection?
(d)     Answer the questions in (a) for the autotransformer connection. 3-22.      Figure P3-4 shows a power system consisting of a three-phase 480-V 60-Hz generator supplying two loads through a transmission line with a pair of transformers at either end.
(a)Â Â Â Â Â Sketch the per-phase equivalent circuit of this power system.
(b)     With the switch opened, find the real power P, reactive power Q, and apparent power S supplied by the generator. What is the power factor of the generator?
(c)     With the switch closed, find the real power P, reactive power Q, and apparent power S supplied by the generator. What is the power factor of the generator?
(d)Â Â Â Â Â What are the transmission losses (transformer plus transmission line losses) in this system with the switch open? With the switch closed? What is the effect of adding Load 2 to the system?
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Region 1Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Region 2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Region 3
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Sbase1Â = 1000 kVA
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Sbase2
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= 1000 kVA
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Sbase3 = 1000 kVA
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VL,base2 = 480 V
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VL,base2Â Â = 13,800 V
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VL,base3Â Â = 480 V
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