GATE EE format:nat PYQs & Answers — Page 4

Questions 31–40 of 256. Imported answers require independent review unless marked reviewed.

Topic practice 256 questionsPage 4 of 26

Two units, rated at 100 MW and 150 MW, are enabled for economic load dispatch. When the overall incremental cost is 10,000 Rs./MWh, the units are dispatched to 50 MW and 80 MW respectively. At an overall incremental cost of 10,600 Rs./MWh, the power outputs of the units are 80 MW and 92 MW, respectively. The total plant MW-output (without overloading any unit) at an overall incremental cost of 11,800 Rs./MWh is ____________ (round off to the nearest integer).

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A controller

of the form

is to be designed for the plant

as shown in the figure. The value of

that yields a phase margin of

at the gain cross-over frequency of 10 rad/sec is ________________ (round off to one decimal place).

Diagram for Electrical Engineering question 65

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Consider the complex function

. The coefficient of

in the Taylor series expansion of

about the origin is ______ (rounded off to 1 decimal place).

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The sum of the eigenvalues of the matrix

is ______ (rounded off to the nearest integer).

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Let

be the Fourier transform of the signal

The value of the derivative of

is ______ (rounded off to 1 decimal place).

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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).

Diagram for Electrical Engineering question 34

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A forced commutated thyristorized step-down chopper is shown in the figure. Neglect the ON-state drop across the power devices. Assume that the capacitor is initially charged to 50 V with the polarity shown in the figure. The load current (

) can be assumed to be constant at 10 A. Initially,

is ON and

is OFF. The turn-off time available to

in microseconds, when

is triggered, is _________ (rounded off to the nearest integer).

Diagram for Electrical Engineering question 35

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Two passive two-port networks P and Q are connected as shown in the figure. The impedance matrix of network P is

. The admittance matrix of network Q is

. Let the ABCD matrix of the two-port network R in the figure be

. The value of

is __________ (rounded off to 2 decimal places).

Diagram for Electrical Engineering question 48

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For the circuit shown in the figure, the source frequency is 5000 rad/sec. The mutual inductance between the magnetically coupled inductors is 5 mH with their self inductances being 125 mH and 1 mH. The Thevenin’s impedance,

, between the terminals P and Q in

is ________ (rounded off to 2 decimal places).

Diagram for Electrical Engineering question 49

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In the circuit shown,

and

. It is supplied by a three phase 400 V source with the phase sequence being R-Y-B. Assume the watt meters

and

to be ideal. The magnitude of the difference between the readings of

and

in watts is __________ (rounded off to 2 decimal places).

Diagram for Electrical Engineering question 50

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GATE EE format:nat PYQs

Question 64

Question 65

Question 31

Question 32

Question 33

Question 34

Question 35

Question 48

Question 49

Question 50