Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
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Chapter 2, Problem 2.21P
An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor lagging. (a) Compute the required kVA rating of a shunt capacitor to improve the power factor to 0.9 lagging. (b) Calculate the resulting power factor if a synchronous motor rated at 500 hp with
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A synchronous generator with a synchronous reactance of 1.15 p.u. is connected to an infinite bus whose voltage is one p.u. through an equivalent reactance of 0.15 p.u. The maximum permissible active power output is 1.2 p.u.A. Compute the excitation voltage E.B. The power output is gradually reduced to 0.7 p.u. with fixed field excitation. Find the new current and power angle δ.
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A 40kW induction motor with a lagging power factor of 0.76 is supplied by a 120Vrms 60Hz sinusoidal voltage source. find the capacitance needed in parallel with the motor to raise the power factor to (a) 0.9 lagging and (b) 1.0
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
Ch. 2 - The rms value of v(t)=Vmaxcos(t+) is given by a....Ch. 2 - If the rms phasor of a voltage is given by V=12060...Ch. 2 - If a phasor representation of a current is given...Ch. 2 - Prob. 2.4MCQCh. 2 - Prob. 2.5MCQCh. 2 - Prob. 2.6MCQCh. 2 - Prob. 2.7MCQCh. 2 - Prob. 2.8MCQCh. 2 - Prob. 2.9MCQCh. 2 - The average value of a double-frequency sinusoid,...
Ch. 2 - The power factor for an inductive circuit (R-L...Ch. 2 - The power factor for a capacitive circuit (R-C...Ch. 2 - Prob. 2.13MCQCh. 2 - The instantaneous power absorbed by the load in a...Ch. 2 - Prob. 2.15MCQCh. 2 - With generator conyention, where the current...Ch. 2 - Consider the load convention that is used for the...Ch. 2 - Prob. 2.18MCQCh. 2 - The admittance of the impedance j12 is given by...Ch. 2 - Consider Figure 2.9 of the text, Let the nodal...Ch. 2 - The three-phase source line-to-neutral voltages...Ch. 2 - In a balanced three-phase Y-connected system with...Ch. 2 - In a balanced system, the phasor sum of the...Ch. 2 - Consider a three-phase Y-connected source feeding...Ch. 2 - For a balanced- load supplied by a balanced...Ch. 2 - A balanced -load can be converted to an...Ch. 2 - When working with balanced three-phase circuits,...Ch. 2 - The total instantaneous power delivered by a...Ch. 2 - The total instantaneous power absorbed by a...Ch. 2 - Under balanced operating conditions, consider the...Ch. 2 - One advantage of balanced three-phase systems over...Ch. 2 - While the instantaneous electric power delivered...Ch. 2 - Given the complex numbers A1=630 and A2=4+j5, (a)...Ch. 2 - Convert the following instantaneous currents to...Ch. 2 - The instantaneous voltage across a circuit element...Ch. 2 - For the single-phase circuit shown in Figure...Ch. 2 - A 60Hz, single-phase source with V=27730 volts is...Ch. 2 - (a) Transform v(t)=75cos(377t15) to phasor form....Ch. 2 - Let a 100V sinusoidal source be connected to a...Ch. 2 - Consider the circuit shown in Figure 2.23 in time...Ch. 2 - For the circuit shown in Figure 2.24, compute the...Ch. 2 - For the circuit element of Problem 2.3, calculate...Ch. 2 - Prob. 2.11PCh. 2 - The voltage v(t)=359.3cos(t)volts is applied to a...Ch. 2 - Prob. 2.13PCh. 2 - A single-phase source is applied to a...Ch. 2 - Let a voltage source v(t)=4cos(t+60) be connected...Ch. 2 - A single-phase, 120V(rms),60Hz source supplies...Ch. 2 - Consider a load impedance of Z=jwL connected to a...Ch. 2 - Let a series RLC network be connected to a source...Ch. 2 - Consider a single-phase load with an applied...Ch. 2 - A circuit consists of two impedances, Z1=2030 and...Ch. 2 - An industrial plant consisting primarily of...Ch. 2 - The real power delivered by a source to two...Ch. 2 - A single-phase source has a terminal voltage...Ch. 2 - A source supplies power to the following three...Ch. 2 - Consider the series RLC circuit of Problem 2.7 and...Ch. 2 - A small manufacturing plant is located 2 km down a...Ch. 2 - An industrial load consisting of a bank of...Ch. 2 - Three loads are connected in parallel across a...Ch. 2 - Prob. 2.29PCh. 2 - Figure 2.26 shows three loads connected in...Ch. 2 - Consider two interconnected voltage sources...Ch. 2 - Prob. 2.35PCh. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - A balanced three-phase 240-V source supplies a...Ch. 2 - Prob. 2.41PCh. 2 - A balanced -connected impedance load with (12+j9)...Ch. 2 - A three-phase line, which has an impedance of...Ch. 2 - Two balanced three-phase loads that are connected...Ch. 2 - Two balanced Y-connected loads, one drawing 10 kW...Ch. 2 - Three identical impedances Z=3030 are connected in...Ch. 2 - Two three-phase generators supply a three-phase...Ch. 2 - Prob. 2.48PCh. 2 - Figure 2.33 gives the general -Y transformation....Ch. 2 - Consider the balanced three-phase system shown in...Ch. 2 - A three-phase line with an impedance of...Ch. 2 - A balanced three-phase load is connected to a...Ch. 2 - What is a microgrid?Ch. 2 - What are the benefits of microgrids?Ch. 2 - Prob. CCSQCh. 2 - Prob. DCSQ
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- A 40 kW induction motor, with a lagging power factor of 0.76, is supplied by a 120 V rms 60 Hz sinusoidal voltage source. Find the capacitance needed in parallel with the motor to raise the power factor to: (a) 0.9 lagging, and (b) 1.0.arrow_forwardThe terminal voltage of a 150 kW series generator is 600 V at rated load. The armature resistance is 0.06 ohms and the series field resistance is 0.04 ohms. Find generated emf.arrow_forwardWhat are the conditions in paralleling of these DC Generators:a. Shuntb. Seriesc. Compoundarrow_forward
- Full solutions for the question with explanationarrow_forwardDiscussion:- 1. What do you understand by "armature- reaction"? Discuss the effect of armature reaction in an alternator when it is loaded with resistive, inductive and capacitive loads. 2. Give the value of voltage regulation for different power factors at full load current and interpret their values.arrow_forwardA single-phase motor takes 10A at a power factor of 0.7 lagging when connected to a 230V, 50 Hz supply. A capacitor bank is connected in parallel with the motor to raise the power factor to unity.i) Draw the phasor diagram before and after power factor correction with the supply voltage taken as the reference phasor. ii) Calculate the percentage change in the supply current after power factor correction.iii) Calculate the value of capacitance required.arrow_forward
- A synchronous generator can be represented by a voltage source of 1,7 p.u. in series with an impedance of 2 p.u., which are connected to an ideal voltage source of 1 p.u. Impedance of the synchronous generator has a X/R ratio of 10 and the angle difference between the two voltage sources is 30°. a) Calculate the active power generated by the generator. b) Calculate the active power supplied by the voltage source.arrow_forwardB) fill in the blanks: that of rotor MMF. 1)In a 3-phase synchronous motor the speed of stator MMF is ......... 2)The synchronous reactance of the synchronous machine is....... 3) When two transformers are operating in parallel, they will share the load as under...... 4)A synchronous motor is operating on no-load at unity power factor. If the field current is increased, power factor will become..arrow_forwardA 2MVA, 2.3kV three – phase Y – connected alternator operates at rated kVA at a power factor of 80%. The dc armature winding resistance between terminals is 0.08 ohm. The field takes 70 A at 125 V from an exciter equipment. Friction and windage loss is 20kW, iron losses 36kW and stray load losses are 2.0 kW. Calculate the efficiency of the alternator. Assume the effective armature winding resistance is 120% of the DC resistance. a. 94.0 % b. 92.1 % c. 93.2 % d. 89.5 %arrow_forward
- a.) full loadb.) half loadarrow_forwardtrue or false and why...arrow_forwardA 1200 kW,60 Hz synchronous alternator A identical governor droop of 0.0005 Hz/kW.Machine A takes two third of 1000kW bus load at 60 Hz.lf an additional 800 kW load is connected to the bus determine (a) bus frequency (b) load on each machine. is in parallel with a 400 kW,60 Hz alternator B.Both machines have (a) 58.6 Hz (b) 566.67 kW, 433.33 kW. (a) 59.6 Hz (b) 866.67 kW, 133.33 kW (a) 59.8 Hz (b) 666.67 kW, 333.33 kW (a) 58.9 Hz (b) 766.67 kW, 233.33 kWarrow_forward
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Working of Synchronous Motor; Author: Lesics;https://www.youtube.com/watch?v=Vk2jDXxZIhs;License: Standard Youtube License