A delta wye transformer connection is shown in schematic form in Figure 2, This transformer is a step- down arrangement from 4.2kV, line-line, to 480V, line-ine, both RMS. See Figure 3. The resistor on the wye side is drawing 100 A. A b B Figure 2 Transformer Hookup iba lac icb Figue 3: Sngle-Phe Loaded Tranbmer Cnnecetion a) How much power is being drawn on the wye side from each of the three transformer secondaries? b) What is the turn's ratio between the physical transformers that make up the three-phase transformer bank? c) What are the three currents in the primary side of each of the three transformers? Show them in a reasonably proportioned vector diagram. Show the voltages as well across those transformer windings Now the situation is reversed asshowninFigure4. This, too, is a 4.2kV (line-line, RMS) to 480 V transformer, but this time the wye side is on the high voltage and the delta is on the low voltage. A single resistor, drawing 100 A, is connected across two of the terminals of the 600 V secondary. Initially the wye side of the transformer is ungrounded. 1 What is the physical turn's ratio of these transformers? 2. Assuming that the wye side of the transformer is connected to a voltage source, draw currents in the primary windings IA, IB and iC, in relationship to the voltages on the wye side. 3. Show that the sum of real and reactive powers on the wye side matches the same quantities on the delta side. 4. Now the wye side of the transformer is grounded. What changes? ele rele

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A deita wye transformer connection is shown in schematic form in Figure 2, This transformer is a step-
down arrangement from 4.2kV, line-line, to 480V, line-ine, both RMS. See Figure 3. The resistor on the
wye side is drawing 100 A.
b
Figure 2 Transformer Hookup
iba
b.
lac
Fizune 3: Single-Phve Loaded Trafoer Connecetion
a) How much power is being drawn on the wye side from each of the three transformer secondaries?
b) What is the turn's ratio between the physical transformers that make up the three-phase
transformer bank?
c) What are the three currents in the primary side of each of the three transformers? Show them in a
reasonably proportioned vector diagram. Show the voltages as well across those transformer
windings.
Now the situation is reversed asshowninFigure4. This, too, is a 4.2kV (line-line, RMS) to 480 V transformer,
but this time the wye side is on the high voltage and the delta is on the low voltage. A single resistor,
drawing 100 A, is connected across two of the terminals of the 600 V secondary. Initially the wye side of
the transformer is ungrounded.
1 What is the physical turn's ratio of these transformers?
2. Assuming that the wye side of the transformer is connected to a voltage source, draw currents in the
primary windings IA, IB and iC, in relationship to the voltages on the wye side.
3. Show that the sum of real and reactive powers on the wye side matches the same quantities on the
delta side.
4. Now the wye side of the transformer is grounded. What changes?
rele
ele
ele
Transcribed Image Text:A deita wye transformer connection is shown in schematic form in Figure 2, This transformer is a step- down arrangement from 4.2kV, line-line, to 480V, line-ine, both RMS. See Figure 3. The resistor on the wye side is drawing 100 A. b Figure 2 Transformer Hookup iba b. lac Fizune 3: Single-Phve Loaded Trafoer Connecetion a) How much power is being drawn on the wye side from each of the three transformer secondaries? b) What is the turn's ratio between the physical transformers that make up the three-phase transformer bank? c) What are the three currents in the primary side of each of the three transformers? Show them in a reasonably proportioned vector diagram. Show the voltages as well across those transformer windings. Now the situation is reversed asshowninFigure4. This, too, is a 4.2kV (line-line, RMS) to 480 V transformer, but this time the wye side is on the high voltage and the delta is on the low voltage. A single resistor, drawing 100 A, is connected across two of the terminals of the 600 V secondary. Initially the wye side of the transformer is ungrounded. 1 What is the physical turn's ratio of these transformers? 2. Assuming that the wye side of the transformer is connected to a voltage source, draw currents in the primary windings IA, IB and iC, in relationship to the voltages on the wye side. 3. Show that the sum of real and reactive powers on the wye side matches the same quantities on the delta side. 4. Now the wye side of the transformer is grounded. What changes? rele ele ele
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