The following nonlinear equations contain terms that are often found in the power flow equations: [ begin{aligned}

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The following nonlinear equations contain terms that are often found in the power flow equations:

\[
\begin{aligned}
& f_{1}(x)=10 x_{1} \sin x_{2}+2=0 \\
& f_{2}(x)=10\left(x_{1}ight)^{2}-10 x_{1} \cos x_{2}+1=0
\end{aligned}
\]

Solve using the Newton-Raphson method starting with an initial guess of \(x_{1}(0)=1\) and \(x_{2}(0)=0\) radians and a stopping criteria of \(\varepsilon=10^{-4}\).

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Power System Analysis And Design

ISBN: 9781305632134

6th Edition

Authors: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

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