Three balanced 3 phase loads are connected in parallel. Load 1 is Y-connected with an impedance of 400 + j300Ω/φ, Load 2 is ∆–connected with an impedance of 2400 −j1800Ω/φ and Load 3 is rated at 172.8 + j2203.2kVA. The loads are fed from a distribution line with an impedance of 2 + j16Ω/φ. Magnitude of line–to–neutral voltage at the load end of the line is 24√3 kV. The frequency of operation is 50Hz. (a) Calculate the line currents and the phase currents of the loads. (b) Calculate the total complex power at the receiving end of the system. (c) Calculate the total complex power at the sending end of the line

Three balanced 3 phase loads are connected in parallel. Load 1 is Y-connected with an impedance of 400 + j300Ω/φ, Load 2 is ∆–connected with an impedance of 2400 −j1800Ω/φ and Load 3 is rated at 172.8 + j2203.2kVA. The loads are fed from a distribution line with an impedance of 2 + j16Ω/φ. Magnitude of line–to–neutral voltage at the load end of the line is 24√3 kV. The frequency of operation is 50Hz. (a) Calculate the line currents and the phase currents of the loads. (b) Calculate the total complex power at the receiving end of the system. (c) Calculate the total complex power at the sending end of the line

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.52P: A balanced three-phase load is connected to a 4.16-kV, three-phase, fourwire, grounded-wye dedicated...

See similar textbooks

Related questions

Q: Four identical alternators rated 25 MVA each has a per unit reactance of 0.50. These alternators…

A: The solution is given below

Q: a balanced three phase voltage of 100v line to neutral is applied to a balanced y connected load…

A: symmetrical component are define the stability of power system . symmetrical component are three…

Q: A 50 Hz, Scott connected transformer supplies an unbalanced two phase load at ( 400 V) per phase.…

A: Scott connection is used to convert a balanced three-phase into balance 2 phases or vice versa. it…

Q: The p.u. impedance value of an alternator corresponding to base values of 13.2 kV and 30 MVA is 0.2…

Q: The following single-phase loads are connected to a 415V three-phase supply. Z, = (25- j15)n, z,…

A: The data given in the question are: VL=415V, VPH=4153=239.6 VZR=25-j15 Ω, ZY=45+j10 Ω, ZB=5+j30 Ω…

Q: A balanced three-phase, negative sequence, Y-connected generator is connected to a three-phase…

A: The solution is given below

Q: balanced three-phase Delta connected voltage source supplies Delta connected three-phase symmetrical…

A: In the question the source is balanced and connected to balanced load through transmission line. For…

Q: H.W. 4: A balanced three-phase A-connected load is fed from a balanced three-pha circuit. The…

Q: Three symmetrical three-phase loads are connected in parallel. Load 1 is connected in Y with an…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Find the IBC load current b) Give the VCA line voltage c) Calculate the total complex power on the…

A: Find the IBC load current? Give the VCA line voltage? Calculate the total complex power on the…

Q: 128, An equipment has an impedance 0.9 p.u. to a base of 20 MVA, 33 kV. To the base of 50 MVA, 11…

A: we need to find out impedance at given base.

Q: A three-phase alternator generating unbalanced voltages is connected to an unbalanced load through a…

Q: Three unequal, single phase inductive loads are connected between the lines 1-2, 2-3 and 3-1 of a 3…

A: A three-phase system contains three unequal, single-phase inductive loads that are connected between…

Q: (b) A balanced Y-connected load has phase voltage of 230 V and positive phase sequence. The…

Q: 4. A three-phase system with acb sequence and in delta-connected source supplies a balanced wye-…

A: In the question, Draw the circuit of the 3 phase acb sequence. Line current? Total power P= 3Van…

Concept explainers

Single Phase AC Circuit

Alternating Current (AC) is a type of electric power in which the electric current changes, both in magnitude and direction, at regular intervals. This AC Circuits can deliver power in either a Single Phase system or a Three Phase system.

Question

Three balanced 3 phase loads are connected in parallel. Load 1 is Y-connected with an impedance of 400 + j300Ω/φ, Load 2 is ∆–connected with an impedance of 2400 −j1800Ω/φ and Load 3 is rated at 172.8 + j2203.2kVA. The loads are fed from a distribution line with an impedance of 2 + j16Ω/φ. Magnitude of line–to–neutral voltage at the load end of the line is 24√3 kV. The frequency of operation is 50Hz.
(a) Calculate the line currents and the phase currents of the loads.
(b) Calculate the total complex power at the receiving end of the system.
(c) Calculate the total complex power at the sending end of the line

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Analysis of Single Phase and Three Phase System

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

Three single-phase transformers, each rated 10MVA,66.4/12.5kV,60Hz, with an equivalent series reactance of 0.1 per unit divided equally between primary and secondary, are connected in a three-phase bank. The high-voltage windings are V-connected and their terminals are directly connected to a 115-kV three-phase bus. The secondary terminals are all shorted together. Find the currents entering the high-voltage terminals and leaving the low-voltage terminals if the low-voltage windings are (a) Y-connected and (b) - connected.
A workshop from a 231/400 V transformer center with a 3-phase and four-conductor underground cablefed. The resistance of the phase conductors is 0.035 ohms and the resistance of the neutral conductors is 0.05 ohms.25 kVA at 0.8 reverse power factor from R phase of the supply line, 0.8 forward power factor from S phase 15Fully ohmic loads of 10 kVA are drawn from kVA and T phases.(a) Find the currents flowing through the phase conductors and neutral conductors.(b) Voltage drops between the transformer substation and the workshop and at the load terminals.calculate the voltages(c) Plot the supply line currents and phase voltages phasorally.
The circuit shows an unbalanced electrical installation powered by a positive sequence symmetrical three-phase network of 380 V compound voltage. The loads are single phase. Load 1 absorbs an active power of 950 W with f.d.p. 0.5 inductive. Load 2 absorbs an active power of 1,140 W with f.d.p. Unit. Load 3 absorbs from the network an active power of 760 W with f.d.p. 0.5 capacitive. Taking the network voltage URN as the phase reference, calculate: a) complex expressions of the line currents IR. Is. and IT
The circuit shows an unbalanced electrical installation powered by a positive sequence symmetrical three- phase network of 380 V compound voltage. The loads are single phase. Load 1 absorbs an active power of 950 W with f.d.p. 0.5 inductive. Load 2 absorbs an active power of 1,140 W with f.d.p. Unit. Load 3 absorbs from the network an active power of 760 W with f.d.p. 0.5 capacitive. Taking the network voltage URN as the phase reference, calculate: a) complex expressions of the line currents IR. Is. and IT RO- SO TO IR Is IT U₁-380 V CARGA 1 P₁ =950 W cos p1=0,5 ind. CARGA 2 P₂=1.140 W cos p₂=1 CARGA 3 P3=760 W cos p3=0,5 cap.
Transkrmers phase with each bank with - adjuste 35. Three single-phase transformers, cach of 100 kVA rating, are conected in a closed-delta arrangement. If one of them is taken out, it would be possible to load the bank in such a manner that cach one is loaded to the extent of: A 86.6 kVA C. 57.7KVA B. 66.7 kVA D. 33.33 kVA when load is at unity power factor. 36. Average power factor at which V-V bank separate is A 86.6% C. 66.67% В. 73.3% D. None of these 37. Scott connections are used for: A. single-phase to three-phase transformation C. three-phase to two-phase transformation B. three-phase to single-phase transformation (D Any of the above 38. The current in low voltage winding of a 25 kVA, 6600/400 V, 50 Hz, 3-phase Y-A transformer, at full load is: A 36 A Č. 65,32 A B. 20.78 A D. 40.2 A 39. The current in high voltage winding of a 20 kVA, 2200/220 V, 50 Hz, 3-phase A-A transformer, at full load is: (A. 3.03 A C. jo.5 A B. 5.25 A D. None of above 40. The current in low voltage…
Draw Wye- Delta three phase transformers connection ( no-load and full-load) in Lt-spice
5
a balanced three phase voltage of 100v line to neutral is applied to a balanced y connected load with undergrounded neutral . the three phase load consists of three mutually coupled reactances. each phase has a series reactance of Zs=j12 ohm and the mutual coupling between the phases is Zm=j4. determin the current using symmetrical components
Two delta connected loads are connected in parallel and powered by a balanced Y-connectedsource. The smaller of two loads draws 10 kVA at a lagging power factor of 0.75 and the largerdraws 25 kVA at a leading power factor of 0.8. The line voltage is 400 V. Calculate a) The powerfactor at which the source is operating. b) The total power drawn by the two loads. c) The phasecurrent of each load.
The one-line diagram of a three-phase power system is shown in the above figure. The line impedances are in per- unit on a 100-MVA base, and the line admittances are neglected. ' qu V = 1.05200 0.01+ j0.025 300 + j200 MVA 3 0.015 + j0.035 150 MW 200 + j150 MVA 0.01 + j0.03 |V = 1.03 The admittance matrix (Y_bus)? The bus power in per-unit?
The one-line diagram of a three-phase power system is shown in the above figure. The line impedances are in per- unit on a 100-MVA base, and the line admittances are neglected. Use Gauss-Seidel method in Matlab to analyze the system the tolerance of error is 10-3. Then anwser the questions as follows. V, = 1.05200 0.01+ j0.025 300 + j200 MVA 0.015 + j0.035 150 MW 200 +j150 MVA 0.01+ j0.03 |V = 1.03 The admittance matrix (Y_bus)? 0.02 + jo.04 0.0125 + jo.03 2.
There is an installation with two equal triphasic loads of 300 kVA each and a power factor of 0.9 lagging. When connecting a pure reactive element in parallel, the reactive power at the entrance of the installation is 150 kVARS, with a lagging power factor. We can say that: a) A bank of reactors was connected and the fp deteriorated. b) A capacitor bank was connected and the pf deteriorated. c) A bank of reactors was connected and the fp improved. d) A capacitor bank was connected and the pf improved. e) None of the above