GATE EE 2026 Paper 1 — page 20

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

A system with two generators G1 and G2 (without generator limits) is shown.

Diagram for Electrical Engineering question 58

The total load on the system is 1184 MW. The expressions for the cost of generation (C₁ and C₂) and real power loss (Pₗₒₛ) are as follows:

C₁(P_G₁) = 1000 + 50P_G₁ + 0.01(P_G₁)² Rs/MWh

C₂(P_G₂) = 2000 + 50P_G₂ + 0.001(P_G₂)² Rs/MWh

Pₗₒₛ = 0.001(P_G₂ − 50)² MW

When the generators are operating at their optimal generation, meeting the total load requirement, the real power loss in the system is ______ MW (Round off to one decimal place)

Consider the Lagrange multiplier λ = 70.25 for optimal generation.

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A balanced three-phase supply is given to a 30 kW, 4-pole, 400 V, 50 Hz, wound rotor induction motor with Y-connected stator and rotor windings. The motor is driving a constant torque load. With shorted sliprings, the machine runs at 1476 rpm.

When an external non-inductive resistance of 0.27 Ω per phase is connected in series in the rotor circuit, the steady-state speed drops to 1404 rpm.

Neglecting rotational losses, the actual per phase rotor winding resistance is ___ Ω

(Round off to two decimal places)

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Consider the two-port network shown. For maximum power transfer to the resistive load (R_L), the value of R_L should be _________ Ω (Round off to two decimal places)

Diagram for Electrical Engineering question 60

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2026 · Paper 1

Question 58

Question 59

Question 60