GATE EE 2024 Paper 1 — page 19

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

A 5 kW, 220 V DC shunt motor has 0.5

armature resistance including brushes. The motor draws a no-load current of 3 A. The field current is constant at 1 A. Assuming that the core and rotational losses are constant and independent of the load, the current (in amperes) drawn by the motor while delivering the rated load, for the best possible efficiency, is ________ (rounded off to 2 decimal places).

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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

, where

is the load angle and the mechanical power input is

. A fault occurs on line 2 such that the power output of the generator is less than

during the fault. After the fault is cleared by opening line 2, the power output of the generator is

. If the critical fault clearing angle is

radians, the accelerating area on the power angle curve is _____ times

(rounded off to 2 decimal places).

Diagram for Electrical Engineering question 56

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Consider the closed-loop system shown in the figure with

The root locus for the closed-loop system is to be drawn for

. The angle of departure (between

and

) of the root locus branch drawn from the pole

, in degrees, is _________________ (rounded off to the nearest integer).

Diagram for Electrical Engineering question 57

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2024 · Paper 1

Question 55

Question 56

Question 57