As shown in the figure, two single-phase loads are connected in parallel to a voltage source of 200 V (angle-0, f-60 Hz). a) Determine the total active power, total reactive power, overall power factor (for the total load) and the total load current. b) Find the capacitance of the capacitor connected across the loads to improve the overall power factor to 1. OFind the capacitance of the capacitor connected across the loads to improve the overall power factor to 0.8 lagging. 10 Ω 200 V 2. 3 100 N j20 2

As shown in the figure, two single-phase loads are connected in parallel to a voltage source of 200 V (angle-0, f-60 Hz). a) Determine the total active power, total reactive power, overall power factor (for the total load) and the total load current. b) Find the capacitance of the capacitor connected across the loads to improve the overall power factor to 1. OFind the capacitance of the capacitor connected across the loads to improve the overall power factor to 0.8 lagging. 10 Ω 200 V 2. 3 100 N j20 2

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 2.19P: Consider a single-phase load with an applied voltage v(t)=150cos(t+10)volts and load current...

See similar textbooks

Similar questions

Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor, and a 4 capacitor. (a) Draw the circuit diagram. (b) Compute the series impedance. (C) Determine the current I delivered by the source. Is the current lagging or leading the source voltage? What is the power factor of this circuit?
Consider a load impedance of Z=jwL connected to a voltage and V let the current drawn be I. (a) Develop an expression for the reactive power Q in terms of ,L, and I, from complex power considerations. (b) Let the instantaneous current be i(t)=2Icos(t+). Obtain an expression for the instantaneous power p(t) into L, and then express it in terms of Q. (c) Comment on the average real power P supplied to the inductor and the instantaneous power supplied.
A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing 10kW. (2) an induction motor drawing 10kVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10hp,85 effIciency and 0.95 power factor leading (1hp=0.746kW). Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.
An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8 lagging from a 220-V,60-Hz, single-phase source. By placing a bank of capacitors in parallel with the load, the resultant power factor is to be raised to 0.95 lagging. Find the net capacitance of the capacitor bank in F that is required.
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.
A single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and L=40mH. (a) Determine the power factor of the circuit and state whether it is lagging or leading. (b) Determine the real and reactive power absorbed by the load. (c) Calculate the peak magnetic energy Wint stored in the inductor by using the expression Wint=L(Irms)2 and check whether the reactive power Q=Wint is satisfied. (Note: The instantaneous magnetic energy storage fluctuates between zero and the peak energy. This energy must be sent twice each cycle to the load from the source by means of reactive power flows.)
Consider a single-phase load with an applied voltage v(t)=150cos(t+10)volts and load current i(t)=5cos(t+50)A. (a) Determine the power triangle. (b) Find the power factor and specify whether it is lagging or leading. (c) Calculate the reactive power supplied by capacitors in parallel with the load that correct the power factor to 0.9 lagging.
The instantaneous power absorbed by the load in a single-phase ac circuit, for a general R LC load under sinusoidal-steady-state excitation. is (a) Nonzero constant (b) Zero (c) Containing double-frequency components
A balanced -connected impedance load with (12+j9) per phase is supplied by a balanced three-phase 60-Hz,208-V source, (a) Calculate the line current, the total real and reactive power absorbed by the load, the load power factor, and the apparent load power, (b) Sketch a phasor diagram showing the line currents, the line-to-line source voltages, and the -load currents. Use Vab as the reference.
A single-phase source has a terminal voltage V=1200volts and a currentI=1530, which leaves the positive terminal of the source. Determine the real and reactive power and state whether the source is delivering or absorbing each.
Is the power factor in Question 6 a leading or lagging power factor? Explain your answer.
. 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.