A three-phase overhead line with negligible resistance and total reactance of 1.5 Q2/phase supplies a load connected at the receiving end of the line at 33 kV. (i) If the reactive power that can be delivered must not exceed 32 MVAr at a load angle of 0°, determine the maximum sending end voltage as a per-unit value of the receiving end voltage. (ii) Express the reactive power (i.e. PX) of the line as a function of the delivered active and reactive powers and voltage at the receiving end.

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 8.10P
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Question 23 aii)

A three-phase overhead line with negligible resistance and total
reactance of 1.5 Q2/phase supplies a load connected at the receiving
end of the line at 33 kV.
(i)
If the reactive power that can be delivered must not exceed
32 MVAr at a load angle of 0°, determine the maximum sending
end voltage as a per-unit value of the receiving end voltage.
(ii) Express the reactive power (i.e. PX) of the line as a function of
the delivered active and reactive powers and voltage at the
receiving end.
Transcribed Image Text:A three-phase overhead line with negligible resistance and total reactance of 1.5 Q2/phase supplies a load connected at the receiving end of the line at 33 kV. (i) If the reactive power that can be delivered must not exceed 32 MVAr at a load angle of 0°, determine the maximum sending end voltage as a per-unit value of the receiving end voltage. (ii) Express the reactive power (i.e. PX) of the line as a function of the delivered active and reactive powers and voltage at the receiving end.
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