Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
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Chapter 5, Problem 5.33P

Consider a long radial line terminated in its characteristic impedance Z c . Determine the following:

(a) V 1 / I 1 , known as the driving point impedance.

(b) | V 2 | / V 1 | , known as the voltage gain, in terms of a l .

(c) | I 2 | / | I 1 | , known as the current gain, in terms of a l .

(d) The complex power gain, S 21 / S 12 , in terms of a l .

(e) The real power efficiency, ( P 21 / P 12 ) = η , terms of a l .

Note: 1 refers to sending end and 2 refers to receiving end. ( S 21 ) is the complex power received at 2; S 12 is sent from 1.

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In the figure, bus 1 is the reference bus, V1 = 1.06 p.u and the angle is 0.. A load with active power= 100 MW and reactive power = 50 Mvar is connected to bus 2. The line impedance is z12 = 0.12 + j0.16 p.u on a base of 100 MVA. Start with an initial estimate of |V2|0) = 1.0 p.u and 820) = 0•. Find |V2| () (one iteration). 100 MW 212 = 0.12 + j0.16 ++ 50 Mvar Vị = 1.0/0° О а. |V2| (1) = 0.4 p.u. Ob. |V2| (1) = 0.5 p.u. Oc. |V2| (1) = 0.7 p.u. d. (1) = 0.8 p.u. е. |V2| (1) = 0.6 p.u.
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Power System Analysis and Design (MindTap Course ...
Electrical Engineering
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:Cengage Learning
How do Electric Transmission Lines Work?; Author: Practical Engineering;https://www.youtube.com/watch?v=qjY31x0m3d8;License: Standard Youtube License