POWER SYS. ANALYSIS+DESIGN
6th Edition
ISBN: 9780357700907
Author: Glover
Publisher: INTER CENG
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Question
Chapter 2, Problem 2.41P
To determine
The power triangle.
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Alternator A (100 kVA, 3-f, 240 V, 60 Hz, 1800 rpm) is operating in parallel with alternator B (125 kVA, 3-f, 240 V, 60 Hz, 1800 rpm). The load of alternator A is 70 kW at 85% pf leading and the load of alternator B is 85 kW at 75% pf leading. Determine the pf of load.
In a Three-phase alternator, a given field current produces an armature current of 250 A on short-circuit and a generated e.m.f. of 1500 V on open-circuit. Calculate the terminal p.d. when a load of 250 A at 6.6 kV and 0.8 p.f. lagging is switched off. Calculate also the regulation of the alternator at the given load.
Subject: Electrical engineering
b)
Two alternators are connected in parallel to feed a load together. The no-load frequency of the first alternator is 51.5 Hz and its slope is 1MW / Hz. The no-load frequency of the second alternator is 51.0 Hz and its slope is 1MW / Hz. The total power of the load fed by these two alternators is 2.5MW and the power factor is 0.8. Accordingly, at what frequency does this system work and what are the power values transferred to the load by each alternator.
Chapter 2 Solutions
POWER SYS. ANALYSIS+DESIGN
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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Similar questions
- b) Explain the conditions of parallel connection of alternators and how these conditions are fulfilled.arrow_forwardA three-phase 3300V. 50 Hz star-connected alternator has an effective resistance of 0.5 ohm/phase. A field current to of 30A produces full-load current of 180A on short- circit and a line to line emf of 1000V on open circit Determine(i) the power angle of the alternator when it delivers full-load at 0.8p.f(lag) (ii)the SCR of the alternator Darrow_forwardi. A 2300 V, With 2500 kVA three phase delta-connected alternator has a resistance of 0.1ohm/phase and a synchronous reactance of 1.5 ohms/phase. The alternator is adjustedto rated voltage at no load. Calculate its terminal voltage when carrying ratedcurrent at no load power factor of 0.6 lagging.arrow_forward
- 6. A 3-phase, star-connected alternator has a resistance of 0.52/phase and a synchronous reactance of 52/phase. It is excited to give 6600 V (line) on open circuit. Determine the terminal voltage and voltage regulation on full-load current of 130 A when the load p.f. is (a) 0.8 lagging (b) 0.6 leading. (Ans. (a) 3340 V (phase value); 14.1% (b) 4260 V (phase value); - 10.6%)arrow_forwardGenerate a conclusion on this following statements: Determine and analyze the voltage regulation characteristics of the alternator with resistive, capacitive, and inductive loading.arrow_forwardA three-phase star-connected alternator delivers at rated load a current I = 200 A under a voltage of 5 kV-50 Hz (between phases). The load is inductive of power factor equal to 0.87, the resistance of each stator winding is 0.292 and the speed of the rotor is n = 750 r.p.m. The sum of the constants losses and the stator Joule's losses and the rotor Joule's losses is 55 kW. The no load test, at rated frequency, gave: E-4200 V (between phases) for an excitation current lexc = 40 A. The short-circuit test, for an excitation current lexc = 40 A, gave a short-circuit current in the stator windings Ise =2.5 kA. 1- Calculate the numbers of poles of the alternator. 2- Calculate the synchronous reactance (X). 3- Calculate the electromotive force of the alternator (E) between phases for the same excitation current. 4- Calculate the power absorbed by the alternator (Pa).arrow_forward
- A 3-phase, 16 pole alternator has a star connected winding with 144 slot and 10 conductor per slot. The flux per pole is 30 mWb sinusoidally distributed and the speed is 375 rpm. The frequency of generated emf is? Also find, the line emf is?arrow_forwardA 9.9 kV, Y-connected, 3 phase alternator has a synchronous reactance of 8 ohms per phase and negligible resistance. At a certain field current the armature is known to induce 8.2 kV per phase. Calculate the power that can be developed by the alternator at this excitation.arrow_forwardA 1200 kVA, 6600 volt, 3-phase, Y-connected alternator has an effective resistance of 0.40 ohm and a reactance of 6 ohms per phase. It delivers full load current of 0.80 lagging power factor at rated voltage. What will be the terminal voltage for the same excitation and load current if the power factor is 0.80 leading? a. 4,560 V b. 9.878 V c. 7.898 V d. 4,250 V Choose the letter of the correct answer. Show your solution.arrow_forward
- Q5: A 3-phase, 50 Hz, 8-pole alternator has a star-connected winding with 120 slots and 8 conductors per slot.The flux per pole is 0.05 Wb, sinusoidally distributed. Determine the phase and line voltages.arrow_forwardThe voltage regulation of an alternator having 0.75 leading p.f. load, no-load induced e.m.f. of 2400V and rated terminal voltage of 3000V is............... percent. *arrow_forwardPlease solve the problem and show the circuit diagram. Thank you. 3. A 5 MVA, 13.2 kv, 3-phase wye-connected alternator has an effective resistance of 0.8 ohm and a reactance of 15 ohms per phase. It delivers full-load current at 0.707 lagging power factor at rated voltage. What will be the terminal voltage for the same excitation and load current, if the power factor is 0.6 leading?arrow_forward
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