Q2(a) Based on the relationship between the line and phase value of currents and voltage, showthat the active power input to a three-phase balance load is v3VIcoso, where V and I areline quantities.(b) A balanced Y-connected load has phase voltage of 230 V and positive phase sequence.The impedances Za, ZB, and Zc are 10430° n, respectively.(i)By taking VaB on the load side as a reference, determine all the line currents andphase voltages.(i1)Determine total real power, P, total reactive power, Q and total apparent power,S of the system.(111) Total real power of the loads can be measured using two wattmeter methods.Draw the connection of the two wattmeters if their current coils are in line Aand C, respectively. What is the total real power measured by each wattmeter?Prove and compare the value with Q2(b)(i).

Answered: Image /qna-images/answer/cccaf112-3dd0-4695-906e-ce8a64bd941a.jpg

Q2 (a) Based on the relationship between the line and phase value of currents and voltage, show that the active power input to a three-phase balance load is V3VIcoso, where Vand I are line quantities.

Q2 (a) Based on the relationship between the line and phase value of currents and voltage, show that the active power input to a three-phase balance load is V3VIcoso, where Vand I are line quantities.

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

Chapter8: Symmetrical Components

Section: Chapter Questions

Problem 8.46P

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Concept explainers

Maximum power transfer theorem

A resistive load will consume maximum power from a network when the load resistance is equal to the resistance of the network as viewed from the open-circuit terminals, with all energy sources removed leaving only the internal resistances. Physicist Moritz von Jacobi introduced the maximum power transfer theorem in 1940. Therefore, this theorem is also known as Jacobi's law.

Question

Q2
(a) Based on the relationship between the line and phase value of currents and voltage, show
that the active power input to a three-phase balance load is v3VIcoso, where V and I are
line quantities.
(b) A balanced Y-connected load has phase voltage of 230 V and positive phase sequence.
The impedances Za, ZB, and Zc are 10430° n, respectively.
(i)
By taking VaB on the load side as a reference, determine all the line currents and
phase voltages.
(i1)
Determine total real power, P, total reactive power, Q and total apparent power,
S of the system.
(111) Total real power of the loads can be measured using two wattmeter methods.
Draw the connection of the two wattmeters if their current coils are in line A
and C, respectively. What is the total real power measured by each wattmeter?
Prove and compare the value with Q2(b)(i).

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