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

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

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...

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