Please solve part b, c & d.I have already solved part (a) Т4.3Maximum power transfer.Consider the power system supplying a radial load through Figure 2. The load isS, = P, +jQj in which the power factor is assumed to be fixed so that Q, = P,tan(4) inwhich oacos (pf). The source voltage magnitude Vs = |Ÿs| is assumed to be constant.(S)jX1jBc.PowerjBc|isLOADSystemFigure 2: Power system supplying a load through a radial transmission line.(а)Derive an equation for the load P, such that the load bus voltage magnitude isVz = VLmin ·(b)Derive an equation for the maximum load that can be supplied from the source andthe corresponding load bus voltage magnitude.(c)If Vs= 1.05 pu, X¡= 0.3 pu and B, = 0.3 pu calculate:The load that can be supplied such that V, = Vimin = 0.9 pu if the load powerfactor is 0.98 (lagging).(i)(ii)The maximum load that can be supplied from the source and the correspondingload bus voltage.(d)Recalculate the results in (c) if the line susceptance is neglected. Comment on the sig-nificance of your findings.

The phasor representation of the source and element The value of current is…

T4.3 Maximum power transfer. Consider the power system supplying a radial load through Figure 2. The load is Sz = P,+jQz in which the power factor is assumed to be fixed so that Q, 3D Pitan(Ф) in which o = acos (pf). The source voltage magnitude Vs = |Vs is assumed to be constant. (S) jXz Power

T4.3 Maximum power transfer. Consider the power system supplying a radial load through Figure 2. The load is Sz = P,+jQz in which the power factor is assumed to be fixed so that Q, 3D Pitan(Ф) in which o = acos (pf). The source voltage magnitude Vs = |Vs is assumed to be constant. (S) jXz Power

Introductory Circuit Analysis (13th Edition)

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ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

Please solve part b, c & d. I have already solved part (a)

Т4.3
Maximum power transfer.
Consider the power system supplying a radial load through Figure 2. The load is
S, = P, +jQj in which the power factor is assumed to be fixed so that Q, = P,tan(4) in
which o
acos (pf). The source voltage magnitude Vs = |Ÿs| is assumed to be constant.
(S)
jX1
jBc.
Power
jBc
|is
LOAD
System
Figure 2: Power system supplying a load through a radial transmission line.
(а)
Derive an equation for the load P, such that the load bus voltage magnitude is
Vz = VLmin ·
(b)
Derive an equation for the maximum load that can be supplied from the source and
the corresponding load bus voltage magnitude.
(c)
If Vs
= 1.05 pu, X¡
= 0.3 pu and B, = 0.3 pu calculate:
The load that can be supplied such that V, = Vimin = 0.9 pu if the load power
factor is 0.98 (lagging).
(i)
(ii)
The maximum load that can be supplied from the source and the corresponding
load bus voltage.
(d)
Recalculate the results in (c) if the line susceptance is neglected. Comment on the sig-
nificance of your findings.

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