In Example 3.1, unit currents (1

Question

In Example 3.1, unit currents (1 < [latex]\mathring{0}[/latex] ) are injected at nodes 1 and 3. Find the bus voltages.

Accepted Answer

From Example 3.1,

[latex] \left|\begin{matrix} 1-j5 & j5 & 0 \ j5 & 0.5-j8.33 & j3.33 \ 0 & j3.33 & 0.33-j3.33 \end{matrix} ight| \left|\begin{matrix}1 \ 0 \ 1 \end{matrix} ight| = \left|\begin{matrix} V_{1} \ V_{2} \ V_{3} \end{matrix} ight| [/latex]

Taking inverse of the Y matrix, the equation is

[latex] \left|\begin{matrix} V_{1} \ V_{2} \ V_{3} \end{matrix} ight|= \left|\begin{matrix} 0.552+j0.05 & 0.542-j0.039 & 0.532-j0.092 \ 0.542-j0.039 & 0.55+j0.069 & 0.551+j0.014 \ 0.532-j0.092 & 0.551 + j0.014 & 0.577+j0.257 \end{matrix} ight| \left|\begin{matrix}1 \ 0 \ 1 \end{matrix} ight| =\left|\begin{matrix} 1.084-j0.042 \ 1.093-j0.025 \ 1.109+j0.164 \end{matrix} ight| [/latex]

Question 3.6: In Example 3.1, unit currents (1 < 0 ) are injected at no......

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