Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 2.44P
Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Exercise 1: A three-phase 3Φ transmission line has an impedance of 0.62+j35.06Ω/phase and supplies a three-phase load of 100MW with a power factor (fp) of 0.8 lagging at 200kV. Taking 100MVA and 215kV as a base, we ask:
a-) Calculate the impedance of the line in p.u;b-) Calculate the current consumed by the load in p.u;c-) Calculate the load voltage in p.u;
PLEASE, TYPE, HAND WRITING GETS UNDERSTANDING.
A 4200-V, three-phase transmission line has an impedance of 4+j ohms per phase. If it supplies a load of 1 MVA at 0.75 power factor, find:
(a) the complex power
(b) the power loss in the line
(c) the voltage at the sending end.
*Ans. S=0.75+j0.66 MVA, PL=25.14 kW and VS=4.492∠ − 1.912°kV
Use four decimal places.
Please answer help for "c" and "d".
The total power delivered to a balanced three-phase load when operating at a line voltage of 2400√3V is 720 kW at a lagging power factor of 0.8. The impedance of the distribution line supplying the load is 0.8 + j6.4Ω/ϕ. Under these operating conditions, the drop in the magnitude of the line voltage between the sending end and the load end of the line is excessive. To compensate, a bank of Y-connected capacitors is placed in parallel with the load. The capacitor bank is designed to furnish 576 kVAR of magnetizing reactive power when operated at a line voltage of 2400√3V.
a. What is the magnitude of the voltage at the sending end of the line when the load is operating at a linevoltage of 2400√3V and the capacitor bank is disconnected?b. Repeat (a) with the capacitor bank connected.
c. What is the average power efficiency of the line in (a)?d. What is the average power efficiency in (b)?e. If the system is operating at a frequency of 60 Hz, what is the…
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A three-phase line with an impedance of (0.2+j1.0)/ phase feeds three balanced three-phase loads connected in parallel. Load 1: Absorbs a total of 150 kW and 120 kvar. Load 2: Delta connected with an impedance of (150j48)/phase. Load 3: 120 kVA at 0.6 PF leading. If the line-to-neutral voltage at the load end of the line is 2000 v (rms), determine the magnitude of the line-to-line voltage at the source end of the line.arrow_forwardA 3-phase Y-connected load draws power from a 3-phase Y-connected source. The source voltage, ?=440∠0º?_rms and the load impedance, Z_y=(30+j15) Ω. The line impedance, Z_line= (1+j1)Ω and the system operates at 60 Hz. a) Draw the single-phase equivalent circuit and label all given quantities numerically. b) Calculatethe rms line (phase) current phasor in each phase. c) Calculate the total active or real power supplied by the source. d) Calculate the total active or real power consumed by the load. e) Calculate the total line loss i.e. the total activepower lost due to line. f) Determine the power efficiency of the system.arrow_forwardA three-phase line has an impedance of 0.1+j0.8 Ω/ϕ. The line feeds two balanced three-phase loads connected in parallel. The first load is absorbing a total of 630 kW and absorbing 840 kVAR magnetizing vars. The second load is Y-connected and has an impedance of 15.36−j4.48 Ω/ϕ. The line-to-neutral voltage at the load end of the line is 4000 V. What is the magnitude of the line voltage at the source end of the line?arrow_forward
- A balanced Δ connected load with impedance 63 + j216 Ω/Ø 50∠0 ° Ω/Ø It is connected in parallel to a balanced Y-connected load with impedance. Parallel loads have an impedance of 1 + j3 Ω/Ø fed from one line. Y the magnitude of the connected load from line to neutral is 750 V a) Calculate the magnitude of the current in the line feeding the loads? b) Calculate the magnitude of the phase voltage at the sending end of the line? c) Find the total apparent, average and reactive powers provided by the sources?.arrow_forwardA three-phase line feeds two balanced three-phase loads connected in parallel. The first Y load consumes a total of 630,000 W at 0.6 power factor lagging. The second in Δ it has an impedance per phase of 46.08 – j 13.44 Ω. The line-to-line voltage at the end of the loads corresponds to 6920 Vrms, negative sequence. Find the total line current and power total complex absorbed by the two-charge system.arrow_forwardA balanced three-phase Y-connected source with positive sequance has an internal voltage of 120 V/phase. The source feeds a balanced three-phase Y-connected load having an impedance of 39 + j28 Ω /phase. The impedance of the transmission line connecting the source to the load is 1 + j2 Ω /phase. The a-phase of the source is the reference voltage. d) Calculate the three line-to-line voltages at the terminals of the load. e) Calculate the total average power in watts delivered to the load. f) Calculate the total complex power in VA delivered by the source.arrow_forward
- Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of ZL = (0:4 + j2:7) Ω per phase. One of the loads absorbs 560 kVA at 0.707 power factor lagging, and the other 132 kW at unity power factor. The line-to-line voltage atthe load end of the line is 2; 200p3 V. Compute: a) The line-to-line voltage at the source end of the line.b) The total real and reactive power losses in the three-phase line.c) The total three-phase real and reactive power supplied at the sending end of the line. Check that the total three-phase complex power delivered by the source equals the total three-phasecomplex power absorbed by the line and loads.arrow_forwardPROBLEM 1. A three-phase transmission line is 100 km long. Its parameters are: z= (0.08 + j0.45) Ω/km y=j5 μS/km At the generating end it has a voltage of 115 kV L-L, and it is delivering a real power of PS= 51 MW and a reactive power of QS=31.6 MVARS. a. Find the parameters A,B,C and D. b. Determine the voltage and current at the receiving end. C. Calculate the regulation of the load node.arrow_forwardA 3-phase Y-connected load draws power from a 3-phase Y-connected source. The source voltage, ?=440∠0º?_rms and the load impedance, Z_y=(30+j15) Ω. The line impedance, Z_line= (1+j1)Ω and the system operates at 60 Hz. d) Calculate the total active or real power consumed by the load. e) Calculate the total line loss i.e. the total activepower lost due to line. f) Determine the power efficiency of the system.arrow_forward
- A 50 Hz, 250 V single phase power line has the following loads placed across it in parallel; 4 kW ata pf of 0. 8 lagging; 6 kVA at a pf of 0.6 lagging; 5 kVA which includes 1.2 kVAR leading. Determinethe overall pf of the system and the capacitance of the capacitor which, if connected across themains restore the power factor to unity.arrow_forwardFast Answer please A balanced ∆ connected load with impedance 63 + j216 Ω⁄∅ 50∠0° Ω⁄∅It is connected in parallel to a balanced Y-connected load with impedance. Parallel loads have an impedance of 1 + j3 Ω⁄∅fed from one line. Y the magnitude of the connected load from line to neutral is 750 V.a) Calculate the magnitude of the current in the line feeding the loads?b) Calculate the magnitude of the phase voltage at the sending end of the line?c) The total apparent, average and reactive powers provided by the sources areA balanced ∆ connected load with impedance 63 + ?216 Ω⁄∅ 50∠0° Ω⁄∅It is connected in parallel to a balanced ?-connected load with impedance. Parallel loads have an impedance of 1 + j3 Ω⁄∅fed from one line. Y the magnitude of the connected load from line to neutral is 750 V.a) Calculate the magnitude of the current in the line feeding the loads?b) Calculate the magnitude of the phase voltage at the sending end of the line?c) The total apparent, average and reactive powers…arrow_forwardThe following three parallel-connected three-phase loads are fed by a balanced three-phase source: Load 1: 250 kVA, 0.8 pf lagging Load 2: 300 kVA, 0.95 pf leading Load 3: 450 kVA, unity pf If the line voltage is 13.8 kV, calculate the line current and the power factor of the source. Assume that the line impedance is zero.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning
Power System Analysis and Design (MindTap Course ...
Electrical Engineering
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:Cengage Learning
Types of Energy for Kids - Renewable and Non-Renewable Energies; Author: Smile and Learn - English;https://www.youtube.com/watch?v=w16-Uems2Qo;License: Standard Youtube License