(b) An industrial load is supplied through a transmission line that has a line impedance of 0.1 + j0.2 Q. The 60 Hz power line voltage at the load is 480 V (rms). The load absorbs 124 kW at a lagging power factor, pf of 0.75. (i) Calculate the total reactive power, Qı and apparent power, Si when pf is 0.75. Calculate the total reactive power, Q2 and apparent power, S2 when pf is raised to 0.9. (ii) (iii) Find the value of capacitance, C when placed in parallel with the load that will raise the pf to 0.9 lagging. (iv) Sketch a diagram of power triangle with complete labels that describes power

(b) An industrial load is supplied through a transmission line that has a line impedance of 0.1 + j0.2 Q. The 60 Hz power line voltage at the load is 480 V (rms). The load absorbs 124 kW at a lagging power factor, pf of 0.75. (i) Calculate the total reactive power, Qı and apparent power, Si when pf is 0.75. Calculate the total reactive power, Q2 and apparent power, S2 when pf is raised to 0.9. (ii) (iii) Find the value of capacitance, C when placed in parallel with the load that will raise the pf to 0.9 lagging. (iv) Sketch a diagram of power triangle with complete labels that describes power

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 2.30MCQ: Under balanced operating conditions, consider the three-phase complex power delivered by the...

See similar textbooks

Similar questions

For the frequency-domain circuit , calculate: 1. a) the rms magnitude of Vo;2. b) the average power dissipated in the 9 Ω resistor;3. c) the percentage of the average power generated by the idealvoltage source that is delivered to the 9 Ω load resistor.
A supply voltage v given by v = (240 sin 314t + 40 sin 942t + 30 sin 1570t) volts is applied to a circuit comprising a resistance of 12 ohmconnected in series with a coil of inductance 9.55 mH. Determine (a) an expression to represent the instantaneous value of the current, (b) the rms voltage, (c) the rms current, (d) the power dissipated, and (e) the overall power factor.
An AC generator having an internal resistance of 2 k*(omega) is connected to an LCR circuit in series as shown in the figure. If the generator supplies an electromotive force, E = 282 sen (100*pi*t) volt, calculate:a) the impedance of the circuitb) the rms value of the current in the circuitc) the voltage drop across L, C and R
five infinite-impedance volunteers,calibrated to read rms values,are connected as shown below. let R= 200, L=0.400H,C=6.0 Mf, and V=30.0 v. what's the reading of the voltmeter's V1,V2,V3,V4 and V5 if W= 200 rad/s
The two loads shown can be described as follows: Load 1 absorbs an average power of 60 kW and delivers 70 kVAR of reactive power; Load 2 has an impedance of (24+j7) Ω. The voltage at the terminals of the loads is 25002 cos 120π t V.1. a) Find the rms value of the source voltage.2. b) By how many microseconds is the load voltage out of phase withthe source voltage?3. c) Does the load voltage lead or lag the source voltage?
S.2) The serial impedance of the 300 km power transmission line is 23 + j75 ohm / phase and the shunt acceptance is j500 microS / phase. A power of 50 MW with a power factor of 0.88 under 220 kV interphase voltage from the end of the power transmission line being shot. Using these data of the energy transmission line, a) Characteristic impedance of the energy transmission line, b) Natural apparent power of the energy transmission line according to the 220 kV interphase operating voltage, c) The values of the line parameters A, B, C and D of the transmission line using hyperbolic functions, d) Calculate the maximum power that the power transmission line can transmit.
A residential electric power monitoring system ratedfor 120-V rms, 60-Hz source registers powerconsumption of 1.2 kW, with a power factor of 0.8.Finda. The rms current.b. The phase angle.c. The system impedance.d. The system resistance.
A motor connected to a 220-V supply line from the power company has a current of 7.6 A. Both the current and the voltage are rms values. The average power delivered to the motor is 1317 W. (a) Find the apparent power, the reactive power, and the power factor when ω=377 rad/s. (b) Find the capacitance of a parallel capacitor that will result in a unity power factor of the combination. (c) Find the current in the utility lines after the capacitor is installed.
The values of the parameters in the circuit shown are L1=8 mH; L2=2 mH; k=0.75; Rg=1 Ω; and RL=7 Ω. Ifvg=542 cos 1000t V, find 1. a) the rms magnitude of vo;2. b) the average power delivered to RL;3. c) the percentage of the average power generated by the idealvoltage source that is delivered to RL.
Obtain the power factor ( PF ) , apparent power ( S ) ,Real Power (P) &the Reactive Power (Q ) of a load whose impedance is Z= 60+j40Ω when the applied voltage Is 320 cos(377t +10o) V
The three-phase average power rating of the central processing unit (CPU) on a mainframe digital computer is 20,000 W. The three-phase line supplying the computer has a line voltage rating of 144 V (rms). The line current is 88 A (rms). The computer absorbs magnetizing VARs. Calculate the lagging power factor.
A building inventory identified the following equipment with the corresponding impedance or power consumption at 230 V rms. The building power supply is 230 V rms. (Assume that the building voltage supply is the reference phasor) What is the total complex power consumed within the building and the effective power factor? Load 1: 160 - j40  Load 2: 500 VA at 0.85 pf lag Load 3: 450 W at 0.95 pf lead Load 4: 200 + j300 VA