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 2.15P
Let a voltage source
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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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A three-phase system includes a 346.4 V line-to-line supplying a three-phase motor rated 15KVA 0.8pf lag plus additional balanced constant impedance loads. The single-phase representation of the system is shown below. Assume that sources and loads are Y-connected.
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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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- . A 46KV 0.8 lagging power factor load is connected to the end of a short transmission line wherethe voltage is 230. If the line resistance and reactance are 0.06 and 0.08 ohm, respectively,calculate the voltage at the sending end.arrow_forwardQ5. A single phase overhead transmission line has a supply voltage of 34 kV and a sending end current of magnitude 40 A at 0-8 p.f. lagging is feeding a certain load. The total resistance and inductance of the line are 5 and 21 mH respectively. Draw the practical circuit used and the devices necessary to perform this experiment. Then calculate the sending end power, receiving end current, voltage, power factor, receiving end power and line efficiency Vs 34000 Is 40 Cosos 0.8 R 5 Ps Ir Vr Cosor Pr n 21e-3arrow_forwardA transmission line of impedance (0.05 + j0.02) pu interconnects the buses of a switchyard and a bulk supply point. The receiving end apparent power is (1.0 + j0.6) pu and sending end voltage, 1/0°pu. Estimate the following: i) Receiving end voltage after two iterations ii) Perform two further iterations to test the convergence of the value of receiving end voltage deduced in (i) iii) load currentarrow_forward
- S1) The serial impedance per unit length of a three-phase 140 km power transmission line is 0.09 + j0.88 ohm/ km and its admittance is j4.1x10-6 S / km. Power factor under 210 kV interphase voltage from the end of this energy transmission line A power of 150 MVA, which is 0.85 back, is drawn. Using this transmission line data and the T equivalent circuit model, the line Calculate the head voltage (V1), current (I1) and load angle.arrow_forwardIf a 3- Ø, Y-connected system has a line-to-line voltage of 1103Sin(377t) V, then the line-to-neutral (RMS) voltage would be:arrow_forwardAn alternating single-phase circuit describes the instantaneous values of the applied voltage and the corresponding current as: v = 360 sin (201,69 t + π/6) and i = 36 sin (201,69 t - π/9) Calculate: the frequency (1) the phase angle, in degrees, (1) the power factor of the circuit (1) the value of the voltage and current 10 ms after zero, (2) the impedance, resistance and reactance of the circuit, (3) the r.m.s.-values of the voltage and current, (2) the true-, apparent- and reactive power in the circuit (3) The time taken to reach -190 V for the second time. (3) Sketch the phasor diagram of this circuit (2)arrow_forward
- S.2) The serial impedance of the 300 km power transmission line is 23 + j75 ohm / phase and the shunt acceptance is j500 microS / phase. A power of 50 MW with a power factor of 0.88 under 220 kV interphase voltage from the end of the power transmission line being shot. Using these data of the energy transmission line, a) Characteristic impedance of the energy transmission line, b) Natural apparent power of the energy transmission line according to the 220 kV interphase operating voltage, c) The values of the line parameters A, B, C and D of the transmission line using hyperbolic functions, d) Calculate the maximum power that the power transmission line can transmit.arrow_forwardA 3-phase, 50 Hz overhead transmission line, 100 km long, 110 kV between the lines at the receiving end has the following constants : Resistance per km per phase = 0·153 Ω Inductance per km per phase = 1·21 mH Capacitance per km per phase = 0·00958 μF The line supplies a load of 20,000 kW at 0·9 power factor lagging. Calculate using nominal π representation, the sending end voltage, current, power factor, regulation and the efficiency of the linearrow_forwardA 3-phase, 50 Hz, 440 V motor develops 100 H.P, which works for 3000 hours per annum, the power factor being 0·75 lagging and efficiency 93%. A bank of capacitors is connected in delta across the supply terminals and power factor raised to 0·95 lagging. The tariff is Rs 100 per kVA plus 20 paise per kWh. If the power factor is improved to 0·95 lagging by capacitors costing Rs 60 per kVAR and having a power loss of 100 W per kVA. Compute the annual saving effected. Allow 12% per annum for interest and depreciation on capacitorsarrow_forward
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