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1. Circuit analysis using phasor/impedance, complex power calculation: An RLC circuit is shown below. The reactance of the capacitor is 40 Ohm. The reactance of the inductor is 80 Ohm, and the resistor is 8 Ohm. The sending end voltage is v₁ (t) = 3 cos(wt + 7) kV, where w = 2 - 60 rad/s. The receiving end voltage is v₂(t) = 345 cos(wt) kV. Ask: • What is the total impedance of the RLC circuit at 60 Hz? What are the sending end and receiving end voltage phasors in kV? • Please find the current through the line in phasor and in time-domain and in unit kA. ● What is the complex power S₁? What is the complex power S₂? Please use a unit of MVA. • What is the power loss due to the resistor? What is the reactive power consumption by the inductor? How much reactive power is generated by the capacitor? For the same sending end voltage and receiving end voltage if the series capacitor is not installed what

1. Circuit analysis using phasor/impedance, complex power calculation: An RLC circuit is shown below. The reactance of the capacitor is 40 Ohm. The reactance of the inductor is 80 Ohm, and the resistor is 8 Ohm. The sending end voltage is v₁ (t) = 3 cos(wt + 7) kV, where w = 2 - 60 rad/s. The receiving end voltage is v₂(t) = 345 cos(wt) kV. Ask: • What is the total impedance of the RLC circuit at 60 Hz? What are the sending end and receiving end voltage phasors in kV? • Please find the current through the line in phasor and in time-domain and in unit kA. ● What is the complex power S₁? What is the complex power S₂? Please use a unit of MVA. • What is the power loss due to the resistor? What is the reactive power consumption by the inductor? How much reactive power is generated by the capacitor? For the same sending end voltage and receiving end voltage if the series capacitor is not installed what

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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1. Circuit analysis using phasor/impedance, complex power calculation: An RLC circuit is shown below. The reactance of the capacitor is 40 Ohm. The reactance of the inductor is 80 Ohm, and the resistor is 8 Ohm. The sending end voltage is v₁ (t) = 343 cos(wt + 7) kV, where w = 2 - 60 rad/s. The receiving end voltage is v₂ (t) = 3 cos (wt) kV. Ask: • What is the total impedance of the RLC circuit at 60 Hz? What are the sending end and receiving end voltage phasors in kV? • Please find the current through the line in phasor and in time-domain and in unit kA. • What is the complex power S₁? What is the complex power S₂? Please use a unit of MVA. • What is the power loss due to the resistor? What is the reactive power consumption by the inductor? How much reactive power is generated by the capacitor? • For the same sending end voltage and receiving end voltage, if the series capacitor is not installed, what is the real power delivered to the receiving end? Please compare this number with the one from the series compensated case, compare the current magnitude and the net reactance of the RL circuit and the RLC circuit, and state the advantage of series compensation. f Vs ~ S₁ RL C mm t S₂
Transcribed Image Text:1. Circuit analysis using phasor/impedance, complex power calculation: An RLC circuit is shown below. The reactance of the capacitor is 40 Ohm. The reactance of the inductor is 80 Ohm, and the resistor is 8 Ohm. The sending end voltage is v₁ (t) = 343 cos(wt + 7) kV, where w = 2 - 60 rad/s. The receiving end voltage is v₂ (t) = 3 cos (wt) kV. Ask: • What is the total impedance of the RLC circuit at 60 Hz? What are the sending end and receiving end voltage phasors in kV? • Please find the current through the line in phasor and in time-domain and in unit kA. • What is the complex power S₁? What is the complex power S₂? Please use a unit of MVA. • What is the power loss due to the resistor? What is the reactive power consumption by the inductor? How much reactive power is generated by the capacitor? • For the same sending end voltage and receiving end voltage, if the series capacitor is not installed, what is the real power delivered to the receiving end? Please compare this number with the one from the series compensated case, compare the current magnitude and the net reactance of the RL circuit and the RLC circuit, and state the advantage of series compensation. f Vs ~ S₁ RL C mm t S₂
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