GATE EE 2021 Set 1 — Question 45

MCQ+2 / -0.67MediumY-Bus FormationPer-Unit System & Load FlowPower Systems

Power Systems → Per-Unit System & Load Flow → Y-Bus Formation

Last updated 5 September 2026

Question

Y_{Bus}

Your answer

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\begin{bmatrix} -4j & j & j \\ j & -4j & j \\ j & j & -4j \end{bmatrix}

\begin{bmatrix} -4j & 2j & 2j \\ 2j & -4j & 2j \\ 2j & 2j & -4j \end{bmatrix}

\begin{bmatrix} -\frac{3}{4}j & \frac{1}{4}j & \frac{1}{4}j \\ \frac{1}{4}j & -\frac{3}{4}j & \frac{1}{4}j \\ \frac{1}{4}j & \frac{1}{4}j & -\frac{3}{4}j \end{bmatrix}

\begin{bmatrix} -\frac{1}{2}j & \frac{1}{4}j & \frac{1}{4}j \\ \frac{1}{4}j & -\frac{1}{2}j & \frac{1}{4}j \\ \frac{1}{4}j & \frac{1}{4}j & -\frac{1}{2}j \end{bmatrix}

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Z_1 = j\,\Omega

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Z_1 = j\,\Omega

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