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Electrical Engineering

GATE Electrical Engineering · Power Systems - Load Flow Analysis · 2018-2026

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2026 Q25

Refer to the four circuits shown. Which one of the following options for k1, k2, k3, and k4 makes all of them realizable?

mediumanswer key
2026 Q26

A single-phase voltage source v_s = 325 sin(2π50t) V delivers a current, i = 12 sin(2π50t) + 9 sin(2π150t) A to a load. The load power factor, correct up to two decimal places, is:

mediumanswer key
2026 Q27

The figure shows a straight-line approximation for the forward characteristics of a power diode. A continuous on-state current of 15 A is flowing through the diode. What is the pow...

mediumanswer key
2026 Q36

A time-limited waveform g(x) is specified as follows: g(x) = { -k, -π < x ≤ 0 +k, 0 < x ≤ π 0, otherwise A new waveform f(x) is constructed from g(x) as follows: f(x) = Σ_{m=-∞}^{∞...

hardanswer key
2026 Q44

The terminal voltage and current of a linear electrical network shown in Figure (a) are given in the table. The correct choice for the parameters (IN, RN) of the Norton equivalent...

mediumanswer key
2026 Q53

A system is represented in state-space form as follows: ($u$: input, $\mathbf{x}$: state vector, $y$: output) $\dot{\mathbf{x}}} = \begin{bmatrix} 1 & 2 \\ -3 & 0 \end{bmatrix} \ma...

hardanswer key
2025 Q27

The input voltage v(t) and current i(t) of a converter are given by, v(t) = 300 sin(ωt) V i(t) = 10 sin (ωt - π/6) + 2 sin (3ωt + π/6) + sin (5ωt + π/2) A where, ω = 2π × 50 rad/s....

hardanswer key
2024 Q36

Consider a vector $\bar{u} = 2\hat{x} + \hat{y} + 2\hat{z}$, where $\hat{x}, \hat{y}, \hat{z}$ represent unit vectors along the coordinate axes $x, y, z$ respectively. The directio...

medium
2023 Q41

The three-bus power system shown in the figure has one alternator connected to bus 2 which supplies 200 MW and 40 MVAr power. Bus 3 is infinite bus having a voltage of magnitude |V...

medium
2018 Q20

A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor...

mediumanswer keyelite explanation
2018 Q21

A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator-bus G1 is considered as slack b...

mediumanswer key
2018 Q22

Consider the unity feedback control system shown. The value of K that results in a phase margin of the system to be 30° is ______. (Give the answer up to two decimal places.)

hardanswer key
2018 Q23

The following measurements are obtained on a single phase load: V = 220 V ±1%, I = 5.0 A ± 1% and W = 555 W ± 2%. If the power factor is calculated using these measurements, the wo...

mediumanswer key