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 2.24P
A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing
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An industrial plant consists of several induction motors. The plant absorbs 300 kW at 0.6 PF lagging from the substation bus.
Compute the required kVAR rating of the capacitor connected across the load toraise the power factor to 0.9 lagging.
A 200-hp, 90% efficiency, synchronous motor is operated from the same busat rated conditions and 0.8 power factor leading. Calculate the resulting powerfactor.
The impedance of an electrical circuit is (30 − j50) ohms. Determine (a) the resistance, (b) the capacitance, (c) the modulus of the impedance, and (d) the current flowing and its phase angle, when the circuit is connected to a 240V, 50 Hz supply.
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b) Calculate the reactive power, apparent power and the power factor (PF) for this load.c) If the PF is lower than 0.9, explain the problem from an electrical perspective thencalculate how this load could be balanced practically.d) Draw a diagram to illustrate where the capacitor needs to be placed and what hashappened to the reactive current that was originally flowing from the inductive load backto the supplier? What are the specifications for this capacitor? What would such acapacitor cost? Who could supply this type of component?
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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- 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 90 efficiency operating at rated load and at unity power factor is added to the plant instead of the capacitor. Assume constant voltage (1hp=0.746kW).arrow_forwardThe load at a certain factory consists of the following:10 kW, pf = 0.6 lagging15 kW, rf = 0.5 lagging25 kVA, pf = 0.75 lagging15 kVAR, pf = 0.8 lagging22 kW5 kVAR, pure inductance1. The power factor is to be corrected to 0.95 lagging. Determine the kVAR rating of pure capacitors needed to accomplish this.arrow_forwardA supply of 250 V, 80 Hz is connected across an inductive load and the power consumed is 2 kW, when the supply current is 10 A. Determine the following: 1.The value of capacitance (µF) connected in parallel with the load that is needed to improve the overall power factor to unity.arrow_forward
- A 3-phase, 50 Hz, 3000 V motor develops 600 H.P. (447·6 kW), the power factor being 0·75 lagging and the efficiency 0·93. A bank of capacitors is connected in delta across the supply terminals and power factor raised to 0·9 lagging. Each of the capacitance units is built of five similar 600-V capacitors. Determine the leading Kvar taken by each three sets.arrow_forwardA 550-V feeder line supplies an industrial plant consisting of a motor drawing 60 kW at 0.75 pf (inductive), a capacitor with a rating of 20 kVAR, and lighting drawing 10 kW. (a) Calculate the total reactive power and apparent power absorbed by the plant. (b) Determine the overall pf. (c) Find the current in the feeder line.arrow_forwardThe average load of a dairy plant at 11 kV, 50 Hz is 950 kW at 80 percent power factor but the maximum contract load of plant is 1200 kW. As per local electricity regulating authorities norms, consumer must keep the power factor of 95 percent to avoid any poor power factor penalty. Determine the following (i) Rating of capacitor bank (in kVAr) (ii) The capacitance of the capacitor bank (in micro Farad) (iii) Explain why the power factor becomes low and how the capacitor bank will assists to improve the power factor?arrow_forward
- When connected to a 120 V (rms), 60-Hz power line, a load absorbs 4kW at a lagging power factor of 0.8. Find the value of Capacitance, C, necessary to raise the power factor to 0.95 lagging.arrow_forwardA 5-ohm resistor is connected in series with a 25 micro-farad capacitor. A source voltage of158 volts, 50 Hz supplies the combination. Determine the following: e. Reactive power supplied by the sourcef. Apparent power of the circuitg. Power factor of the entire circuitarrow_forwardA series circuit containing a noninductive resistance of 3 Ω and a coil is connected to a 120 V, 60 Hz supply. The current is 25 A. The true power, as indicated by a wattmeter, is 2500 W. Determine: the power factor of the series circuit. the effective resistance of the coil. the impedance and inductive rea ctance for the coil. the power factor of the coilarrow_forward
- 2) The net inlet to a factory powered by a 2300 volt infinite busis measured as 765 A, for a lag 0.92 power factor. although mostloads is inductive, the input power factor has been improved by installing asynchronous capacitor operating at its nominal value of 1000 KVA. Determine the factor oforiginal factory power.arrow_forwardA series circuit consists of a resistance of 10 ohms, an inductance of 200/π mH, and capacitance of 1000/π μF. Calculate (a) the current flowing in the circuit if the supply voltage is 200 V, 50 Hz, (b) the power factor of the circuit, (c) the power drawn from the supply. Also, draw the phasor diagram.arrow_forwardIf a load absord 20KVA at the leading power factor of 0.6 Write the complex form of powerarrow_forward
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