1
GATE EE 2024
MCQ (Single Correct Answer)
+1
-0.33

The figure shows the single line diagram of a 4-bus power network. Branches $b_1$, $b_2$, $b_3$, and $b_4$ have impedances $4z$, $z$, $2z$, and $4z$ per-unit (pu), respectively, where $z = r + jx$, with $r > 0$ and $x > 0$. The current drawn from each load bus (marked as arrows) is equal to $I$ pu, where $I \neq 0$. If the network is to operate with minimum loss, the branch that should be opened is

GATE EE 2024 Power System Analysis - Load Flow Studies Question 2 English
A

$b_1$

B

$b_2$

C

$b_3$

D

$b_4$

2
GATE EE 2024
Numerical
+1
-0.33

The incremental cost curves of two generators (Gen A and Gen B) in a plant supplying a common load are shown in the figure. If the incremental cost of supplying the common load is Rs. 7400 per MWh, then the common load in MW is ________ (rounded off to the nearest integer).

GATE EE 2024 Power System Analysis - Power Generation Cost Question 1 English
Your input ____
3
GATE EE 2024
MCQ (Single Correct Answer)
+2
-1.33

For the three-bus lossless power network shown in the figure, the voltage magnitudes at all the buses are equal to 1 per unit (pu), and the differences of the voltage phase angles are very small. The line reactances are marked in the figure, where $\alpha$, $\beta$, $\gamma$, and $x$ are strictly positive. The bus injections $P_1$ and $P_2$ are in pu. If $P_1 = mP_2$, where $m > 0$, and the real power flow from bus 1 to bus 2 is 0 pu, then which one of the following options is correct?

GATE EE 2024 Power System Analysis - Load Flow Studies Question 1 English

A

$\gamma = m\beta$

B

$\beta = m\gamma$

C

$\alpha = m\gamma$

D

$\alpha = m\beta$

4
GATE EE 2024
Numerical
+2
-1.33

The single line diagram of a lossless system is shown in the figure. The system is operating in steady-state at a stable equilibrium point with the power output of the generator being $P_{max} \sin \delta$, where $\delta$ is the load angle and the mechanical power input is $0.5 P_{max}$. A fault occurs on line 2 such that the power output of the generator is less than $0.5 P_{max}$ during the fault. After the fault is cleared by opening line 2, the power output of the generator is $\left\{\frac{P_{max}}{\sqrt{2}} \right\} \sin \delta$. If the critical fault clearing angle is $\frac{\pi}{2}$ radians, the accelerating area on the power angle curve is ______ times $P_{max}$ (rounded off to 2 decimal places).

GATE EE 2024 Power System Analysis - Power System Stability Question 1 English
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