Circuit analysis using phasor/impedance, complex power calculation: A three-phase 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) = √2³45 cos(wt +) kV, where w = 2π - 60 rad/s. The receiving end voltage is v₂(t) = √2345 cos(wt) kV. The power base is 1000 MVA and the voltage base (L-L) is 345 kV. Please compute total transferred complex power S₁ and S₂ in the physical unit. Please draw a per-phase phasor/impedance diagram using per unit values. Please compute the per unit complex power S₁ and 5₂. Find out the real power loss by the resistor, reactive power consumption by the inductor and the reactive power generated by the series capacitor in per unit. f Si 777 Figure R L с mm F S₂ + Vr
Circuit analysis using phasor/impedance, complex power calculation: A three-phase 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) = √2³45 cos(wt +) kV, where w = 2π - 60 rad/s. The receiving end voltage is v₂(t) = √2345 cos(wt) kV. The power base is 1000 MVA and the voltage base (L-L) is 345 kV. Please compute total transferred complex power S₁ and S₂ in the physical unit. Please draw a per-phase phasor/impedance diagram using per unit values. Please compute the per unit complex power S₁ and 5₂. Find out the real power loss by the resistor, reactive power consumption by the inductor and the reactive power generated by the series capacitor in per unit. f Si 777 Figure R L с mm F S₂ + Vr
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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This is a part of a review I'm studying, NOT a graded assignment, please do not reject. Thank you!
I only want the solution for the 4th question that the black arrow is pointing to!
The answers for the first and third question are given below; I dont think the solution to the second question is necesarry to solve the 4th:
S1 = 1510.6 at 3.69 degrees MVA
S2 = 1510.6 at -26.3 degrees MVA
S1 p.u. = 1.51 at 3.69 degrees p.u.
S2 p.u. = 1.51 at -26.3 degrees p.u.
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