a) Find the average power dissipated in the line in Figure 3. b) Find the capacitance that when connected in parallel with the load will raise the load power factor to unity. c) What is the equivalent impedance of the load in (b)? d) Find the average power dissipated in the line when the capacitive reactance is connected across the load. e) Express the power loss in (d) as a percentage of the power loss found in (a). 270/0° V (rms) 602 w j801 Ω 30 Ω j40 Ω Source Line Load

a) Find the average power dissipated in the line in Figure 3. b) Find the capacitance that when connected in parallel with the load will raise the load power factor to unity. c) What is the equivalent impedance of the load in (b)? d) Find the average power dissipated in the line when the capacitive reactance is connected across the load. e) Express the power loss in (d) as a percentage of the power loss found in (a). 270/0° V (rms) 602 w j801 Ω 30 Ω j40 Ω Source Line Load

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 2.7MCQ

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Q3. The load impedance in the circuit shown in Figure 2 is shunted by a capacitor having a capacitive reactance of Calculate: a) the rms phasors and , b) the average power and magnetizing reactive power absorbed by the load impedance, c) the average power and magnetizing reactive power absorbed by the line impedance, d) the average power and magnetizing reactive power delivered by the source, and e) the magnetizing reactive power delivered by the shunting capacitor. 1Ω j4 N 339 N 250 /0° V (rms) VL IL j26 N Source -Line Load Figure 2
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3.n Figure 3P.2 shows two capacitor banks, C, and C2, in a substation C is enercized, but C, is discharged. The three-phase, 60 Hz ratings of the banks are: C,, 5 MVA; C,, 3 MVA, on a 13.8 kV base. The source has a short circuit rating of 20 kA rms at 13.8 kV. The inductance of the loop between C, and C,, represented by L, is 30 µH. 13.8 kV V3 L L2 o to C2 Source Capacitor banks ouG OL 19 Fig. 3P.2. Calculate the peak transient voltage that will appear on C, and the peak transient current that will flow in L,, if the switch S is closed at the peak of the voltage cycle. Point out any assumptions you make.
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A 20 Ohm resistor is in series with a 30 Ohm Inductive reactance. If they are connected to a 40 Volt a.c. source, what is the phase angle between the voltage across the Inductive reactance, and the supply voltage (in degrees)? **Only give the magnitude. If you believe the current is lagging OR leading, give a positive value for the angle " I
. Determine the capacitance value that, when placed in parallel with this load, would produce a unity power factor. Assume that the source is 230 V at 60 Hz. The Q shown is a positive Inductive reactive power, which would have to be “offset” by the same value of Reactive Capacitance Power.
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