1. The instantaneous voltage on a transmission line is given by v(z, t) = |V†le¬a cos(wt – Bz + o*) + |V, lea*cos(wt + Bz + ¢¯). -az (1) %3D Determine the general expression for the phasor voltage, V(2). The wave equation for the phasor voltage V(2) on a transmission line (a) (b) is given below where y = a+jß. Show that the general expression for the phasor voltage from part (a) is a solution to the wave equation. dV (2) - 7°Ÿ(2) = 0 (2) dz? (c) Provide a description of the quantities a and B and what they repre- sent.

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 2.14MCQ: The instantaneous power absorbed by the load in a single-phase ac circuit, for a general R LC load...
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1. The instantaneous voltage on a transmission line is given by
v(z, t) = |V,†|e-až cos(wt – Bz + 0+) + |V, |eª*cos(wt + Bz + ¢-).
(1)
(a)
Determine the general expression for the phasor voltage, V(2).
(b)
is given below where y = a+jß. Show that the general expression for the phasor
voltage from part (a) is a solution to the wave equation.
The wave equation for the phasor voltage V(z)
on a transmission line
d'V (2)
?Ÿ(2) = 0
(2)
dz?
(c)
Provide a description of the quantities a and B and what they repre-
sent.
Transcribed Image Text:1. The instantaneous voltage on a transmission line is given by v(z, t) = |V,†|e-až cos(wt – Bz + 0+) + |V, |eª*cos(wt + Bz + ¢-). (1) (a) Determine the general expression for the phasor voltage, V(2). (b) is given below where y = a+jß. Show that the general expression for the phasor voltage from part (a) is a solution to the wave equation. The wave equation for the phasor voltage V(z) on a transmission line d'V (2) ?Ÿ(2) = 0 (2) dz? (c) Provide a description of the quantities a and B and what they repre- sent.
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