Question NO: 4 Consider the balance three-phase network system shown in Fig. Q4, the line voltage is 13.5 kV rms. Determine: the value of capacitor C such that the total load has a power factor of 0.98 lagging [8 Balance three-phase Balance three- phase source, 60 Hz load 10 MVA 0.72 lagging power factor

Question NO: 4 Consider the balance three-phase network system shown in Fig. Q4, the line voltage is 13.5 kV rms. Determine: the value of capacitor C such that the total load has a power factor of 0.98 lagging [8 Balance three-phase Balance three- phase source, 60 Hz load 10 MVA 0.72 lagging power factor

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 2.12P: The voltage v(t)=359.3cos(t)volts is applied to a load consisting of a 10 resistor in parallel with...

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The voltage v(t)=359.3cos(t)volts is applied to a load consisting of a 10 resistor in parallel with a capacitive reactance XC=25. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by the capacitor. (c) the real power absorbed by the resistor, (d) the reactive power delivered by the capacitor, and (e) the load power factor.
Fill in the table for a correctly wired duplex outlet (U.S. National Electric Code standards for voltage PARAMETER EQUATION and frequency). Note the used of double- subscript notation. You can assume a 0° phase reference for Vba(t). Vba(t) Vea(t) Vbe(t) Vba (Peak Phasor) Vea (Peak Phasor) Vbc (Peak Phasor) Vba (RMS Phasor) Vea (RMS Phasor) Vbc (RMS Phasor) A C
2) Figure shows three loads connected in parallel across a 1000-V (rms), 60-Hz single-phase source. Load 1: Inductive load, ... kVA, 0.28 p.f. lagging Load 2: Capacitive load, ... kW, 40 kvar Load 3: Resistive load, 15 kW Determine the total (a) kW, (b) kvar, (c) kva, and (d) supply power factor. (Please determine the power values within the specified limits: Load 1 apparent power: 100-150 kVA, Load 2 active power: 5-20 kW. By considering the power values you determined yourself, solve the question.) Load Load DE 1 2 Load 3
Problem 3 A climate control system, a motor load, and a lightning circuit of a small warehouse establish a 20- kVA power demand at 0.587 power factor lagging on a 240 V, 60 Hz supply. a) Establish the power triangle for the load. b) Determine the power-factor capacitor that must be placed in parallel with the load to raise the power factor to 0.865 lagging. c) Determine the change in supply current from the uncompensated to the compensated system. Explain.
(b) An inductive load consisting of resistor, R and inductor, L in series feeding from a 240430° Vrms, 50 Hz supply consumes 6 kW at lagging power factor of 0.88. (i) Determine the current through the load. (ii) Find R and L. (iii) Draw the phasor diagram of supply voltage and current.
Problem 4 An electric saw, a wood shaper, and a motor load of a workshop establish a 18 kVA power demand at 0.5 power factor lagging on a 208 V, 60 Hz supply. a) Establish the power triangle for the load. b) Determine the power-factor capacitor that must be place in parallel with the load to raise the power factor to 0.9 lagging. c) Determine the change in supply current from the uncompensated to the compensated system. d) Determine the power-factor capacitor that must be placed in parallel with the load to raise the power factor to unity.
A non-sinusoidal quasi-square wave voltage v(t) is applied to a nonlinear load, resulting in a non-sinusoidal current i(t). The voltage and current waveforms are shown below. Assume any values of your choice for Vp (≤ 200 V) and Ip (≥ 5 A). 1. calculate the average power and net power factor of the load. 2. The total load harmonic distrotion (THD) of the load current, assuming the smallest frquency term as fundamental.
Three loads connected in parallel across a 1000-V (RMS), 60-Hz single-phase source.Load 1: Inductive load, 125 kVA, 0.28PF laggingLoad 2: Capacitive load, 10 kW, 40 kVARLoad 3: Resistive load, 15 kWa) Determine the total kW, kvar, kva, and supply power factor.b) In order to improve the power factor to 0.8 lagging, a capacitor of negligible resistance isconnected in parallel with the above loads. Find the KVAR rating of that capacitor and thecapacitance in μf .c) Comment on the magnitude of the supply current after adding the capacitor
Q1//A power plant has to meet the following load demand: Load A: 100 MW from 8 AM - 6 PM Load B: 150 MW from 6 AM - 10 AM Load C: 50 MW from 6 AM - 10 AM Load D: 20 MW from 10 AM - 6 AM Plot the daily load curve and determine (a) diversity factor (h) load factor (e) daily energy produced.
Q2) Two loads connected in parallel are respectively 2Kw at a p.f. of 0.75 leading and 4Kw at a p.f. of 0.95 lagging calculate the p.f. of the two loads and find the value of parallel element needed to correct the power factor to unity p.f. Assume that the load is supplied by 110V(rms), 60HZ line.
A residential four-wire system supplies power at220 V rms to the following single-phase appliances:On the first phase, there are ten 75-W bulbs. On thesecond phase, there is a 750-W vacuum cleaner with apower factor of 0.87. On the third phase, there are ten40-W fluorescent lamps with power factor of 0.64.Finda. The current in the netural wire.b. The real, reactive, and apparent power for eachphase.
Problem 1 Businessman Lance Smile own two large malls in Basilan Island. Both malls are connected in parallel and operating at an unknown voltage. The local utility system voltage is 13.8 kVrms and supplied power to the malls through a feeder line with impedance equal to 1+j2.5 ohms. Mall 1 is consuming 400 kW at 0.8 pf lagging while Mall 2 is consuming 300 kVAR at 0.75 pf lagging. Determine the following: a) The malls operating rms voltage. b The total real and reactive power of the system. The overall pf of the system.