A three-phase transmission line supplies power to three loads at a voltage 408 Vrms (line to line). The loads are as follows: Load 1: S₁ = 100+ j50 VA Load 2: S₂ = 40-j20 VA Load 3: S3 = 10 + j0 VA Find the magnitude of the line current | Line and the combined power factor of the loads. Hint: Steral \= √3 | Vime |× | Ime | line line

A three-phase transmission line supplies power to three loads at a voltage 408 Vrms (line to line). The loads are as follows: Load 1: S₁ = 100+ j50 VA Load 2: S₂ = 40-j20 VA Load 3: S3 = 10 + j0 VA Find the magnitude of the line current | Line and the combined power factor of the loads. Hint: Steral \= √3 | Vime |× | Ime | line line

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 2.18P: Let a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of...

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2. A three-phase transmission line has parameters Xc-6 k 2, R-3.25 2 and X₁-25 92, and delivers 300 MW to a load with both ends of the line at 230 kV. Draw a pi equivalent per-phase circuit of the line. On a per-phase basis, calculate the active power delivered to the load, the reactive power of the line and the active power delivered by the source. Based on these calculations can the equivalent circuit be simplified further?
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In a balanced Y-Y circuit shown in Figure 5, the magnitude of the phase voltage at the source is Vp = 2520 V (rms) and Van = 252020° V (rms). The load impedance is Zy = 135 + j55 Q per phase and the wire impedance is Zw=85 + j65 per phase. All the voltages and currents are in rms in this problem. (a) Find the phasors for line currents IA, IB, Ic in rms. (b) Find the load voltage VAN = IAZY. Also find VBN, and VCN. (c) Find the line voltages VAB, VBC, VCA at the load. (d) Find the complex power SL of the load. ZW ZY Van a A IA ZW ZY Vbn b В IB N ZW ZY Vcn IC Figure 5
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Two control areas with the characteristics below are connected by a tie line. A load change of 150MW occurs in area 2. Assuming both areas were at nominal frequency (60HZ), calculate the new steady-state frequency (in Hz) and change in tie-line flow (in MW). 2. Area 1 Area 2 R = 0.02 pu R = 0.01 pu D = 0.9 pu D = 0.6 pu Base MVA = 100 Base MVA = 100
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Let a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of the load impedance Z=ZZ, find expressions for P and Q, from complex power considerations. (b) Express p(t) in terms of P and Q, by choosing i(t)=2Icost. (c) For the case of Z=R+jL+1/jC, interpret the result of part (b) in terms of P,QL, and Qc. In particular, if 2LC=1, when the inductive and capacitive reactances cancel, comment on what happens.
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