Consider the (A) parameter of the long line given by (cosh theta), where (theta=) (sqrt{Z Y}). With
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Consider the \(A\) parameter of the long line given by \(\cosh \theta\), where \(\theta=\) \(\sqrt{Z Y}\). With \(x=e^{-\theta}=x_{1}+j \mathrm{x}_{2}\) and \(A=\mathrm{A}_{1}+j \mathrm{~A}_{2}\), show that \(x_{1}\) and \(x_{2}\) satisfy the following:
\[
x_{1}^{2}-x_{2}^{2}-2\left(\mathrm{~A}_{1} x_{1}-\mathrm{A}_{2} x_{2}ight)+1=0
\]
and \(x_{1} x_{2}-\left(\mathrm{A}_{2} x_{1}+\mathrm{A}_{1} x_{2}ight)=0\).
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Related Book For
Power System Analysis And Design
ISBN: 9781305632134
6th Edition
Authors: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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