iven a conventional single-phase transformer is converted to a step-up autotransformer as shown in Figure 1. a) If three single phase autotransformers of this kind are connected in Y Y connection, as to handle 2000k VA from a 12.6kV distribution line to a 13.8kV distribution line, calculate the apparent power that must the windings of each autotransformer can handle. b) Compare the apparent power calculated in (b) with the per phase apparent power. Are they equal? If not, where the rest of power goes? Justify your answer by showing the how the rest of power being calculated.

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Given a conventional single-phase transformer is converted to a step-up autotransformer as
shown in Figure 1.
a) If three single phase autotransformers of this kind are connected in Y - Y connection, as to
handle 2000KVA from a 12.6kV distribution line to a 13.8kV distribution line, calculate the
apparent power that must the windings of each autotransformer can handle.
b) Compare the apparent power calculated in (b) with the per phase apparent power. Are they
equal? If not, where the rest of power goes? Justify your answer by showing the how the rest
of power being calculated.
c) Now if one of the autotransformers was to reconnected as an conventional transformer,
calculate its voltages, currents and apparent power ratings.
Transcribed Image Text:Given a conventional single-phase transformer is converted to a step-up autotransformer as shown in Figure 1. a) If three single phase autotransformers of this kind are connected in Y - Y connection, as to handle 2000KVA from a 12.6kV distribution line to a 13.8kV distribution line, calculate the apparent power that must the windings of each autotransformer can handle. b) Compare the apparent power calculated in (b) with the per phase apparent power. Are they equal? If not, where the rest of power goes? Justify your answer by showing the how the rest of power being calculated. c) Now if one of the autotransformers was to reconnected as an conventional transformer, calculate its voltages, currents and apparent power ratings.
Vse
V,
N,
N,
(=N,e)
Vc
( =NJ
Conventional transformer
Step up autotransformer
Figure 1 Conversion of a conventional transformer to a step-up autotransformer
Note:
1 = primary current
z = secondary current
V, = primary voltage
V2 = secondary voltage
Vc = primary coil voltage
Vee = secondary coil voltage
Ic = primary coil current
Ise = secondary coil current
Nc = primary coil turns
Nge = secondary coil turns
Np = primary total turns
Ng = secondary total turns
Transcribed Image Text:Vse V, N, N, (=N,e) Vc ( =NJ Conventional transformer Step up autotransformer Figure 1 Conversion of a conventional transformer to a step-up autotransformer Note: 1 = primary current z = secondary current V, = primary voltage V2 = secondary voltage Vc = primary coil voltage Vee = secondary coil voltage Ic = primary coil current Ise = secondary coil current Nc = primary coil turns Nge = secondary coil turns Np = primary total turns Ng = secondary total turns
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