Problem 5: Synthesis - 20% Figure 5 shows a simple model of a factory with two induction motors, Z₁ and Z2, and one synchronous condensor, Z3. The grid acts as a voltage source with Vrms = 240Z0° V. The impedances of the three loads are: Z₁ = 10/30° Z2 = 10/45° Z310-90° Initially the condensor is not connected and only Z₁ and Z2 consume power. a) What is the real, reactive, and apparent power being consumed by Z₁? b) What is the real, reactive, and apparent power being consumed by Z₂? c) What is the real, reactive, and apparent power being supplied by the voltage source? d) What is the current being supplied by the voltage source? e) What is the power factor of the voltage source? Next the condensor is connected to the network by closing the switch. Note that the powers consumed by Z₁ and Z2 are unchanged. f) What is the real, reactive, and apparent power being consumed by Z3? g) What is the real, reactive, and apparent power being supplied by the voltage source now? h) What is the current being supplied by the voltage source now? i) What is the power factor of the voltage source now? j) What happened to the magnitude of the current supplied by the voltage source when the switch was closed? Why?
Problem 5: Synthesis - 20% Figure 5 shows a simple model of a factory with two induction motors, Z₁ and Z2, and one synchronous condensor, Z3. The grid acts as a voltage source with Vrms = 240Z0° V. The impedances of the three loads are: Z₁ = 10/30° Z2 = 10/45° Z310-90° Initially the condensor is not connected and only Z₁ and Z2 consume power. a) What is the real, reactive, and apparent power being consumed by Z₁? b) What is the real, reactive, and apparent power being consumed by Z₂? c) What is the real, reactive, and apparent power being supplied by the voltage source? d) What is the current being supplied by the voltage source? e) What is the power factor of the voltage source? Next the condensor is connected to the network by closing the switch. Note that the powers consumed by Z₁ and Z2 are unchanged. f) What is the real, reactive, and apparent power being consumed by Z3? g) What is the real, reactive, and apparent power being supplied by the voltage source now? h) What is the current being supplied by the voltage source now? i) What is the power factor of the voltage source now? j) What happened to the magnitude of the current supplied by the voltage source when the switch was closed? Why?
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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Transcribed Image Text:Problem 5: Synthesis - 20%
Figure 5 shows a simple model of a factory with two induction motors, Z₁ and Z2, and one
synchronous condensor, Z3. The grid acts as a voltage source with Vrms = 240Z0° V. The
impedances of the three loads are:
Z₁ = 10/30°
Z2 = 10/45°
Z310-90°
Initially the condensor is not connected and only Z₁ and Z2 consume power.
a) What is the real, reactive, and apparent power being consumed by Z₁?
b) What is the real, reactive, and apparent power being consumed by Z₂?
c) What is the real, reactive, and apparent power being supplied by the voltage source?
d) What is the current being supplied by the voltage source?
e) What is the power factor of the voltage source?
Next the condensor is connected to the network by closing the switch. Note that the
powers consumed by Z₁ and Z2 are unchanged.
f) What is the real, reactive, and apparent power being consumed by Z3?
g) What is the real, reactive, and apparent power being supplied by the voltage source
now?
h) What is the current being supplied by the voltage source now?
i) What is the power factor of the voltage source now?
j) What happened to the magnitude of the current supplied by the voltage source when
the switch was closed? Why?
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