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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Textbook Question
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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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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- If two 3-phase induction machines are mechanically coupled with each other. The two machines are supplied by 50 Hz and 60 Hz, respectively. the speed of the combination of both machines will be:arrow_forwardA 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_forward
- 6. Home Works: a) The figure below shows the per-phase equivalent circuit of a two- pole three-phase induction motor operating at 50 Hz. The voltage (E1) across the magnetizing inductance is 210 V, and the slip (s) is 0.05. What is the developed torque produced by the motor ? 0.04 0 jo.22 Q j0.22 0 j6.28 NE E1 0.05 0arrow_forwardtwo synchronous generators are connected in parallel, feeding a load together. the frequency of the first generator in the no-load State is 52 Hz and the slope of the characteristic is 1 MW/Hz. the total power of the load fed by these two generators is 2.5 MW and the power coefficient is 0.6 inductive. by drawing the characteristic curve of the system;a) what is the frequency of the system when the load in question is fed, and how do the two generators share the load between themselvesb) if a load of 0.5 MW is added to the system, find the operating frequency of the new system and the powers given by each generatorc) if a second load of 0.5 MW is connected to the system, the idle operating frequency of the second generator is increased by 0.5 Hz, what happens to the operating frequency of the system and the power values given by the generatorsarrow_forwardWhat are the conditions in paralleling of these DC Generators:a. Shuntb. Seriesc. Compoundarrow_forward
- d) The generated voltage of a turbine at timet seconds is given by: v(t) = Vssin(0.4nt +=) 61 Where Vs is generator voltage in Volts. Evaluate the following: The voltage of the generator after 2.5 seconds if Vs = 70 V. The voltage at time t = 0 seconds to 3 significant figures The time when the generator first reaches maximum voltage, the period, the frequency, and the time displacement. ii. iv. V. Your answer to this part of the task should be supported by suitably annotated graphical evidence to help understanding by a non-technical audience. e) If the cable of this generator has a shape of the form: y = 70cosh(x/55)sinh²( Provide fully explained solutions to the following: The value of y when x = 10 to 3 significant figures The value of x when y = 40 to 3 significant figures Provide fully explained graphical evidence to show justify your answers to part (ii) vi. vii. viii.arrow_forwardA 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_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_forward
- A 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_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_forward. Two dc shunt generators A and B are rated at 100 and 150 kW at 110 V respectively, Their external load characteristics may be considered as straight line. The voltage drop In the terminal voltage from no-load to full-load Is 10 V for A and 20 V ſor B. Determine the operating voltage when these generators are operated in parallel to supply a load of 220 kW.arrow_forward
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Working of Synchronous Motor; Author: Lesics;https://www.youtube.com/watch?v=Vk2jDXxZIhs;License: Standard Youtube License