Questions 11–20 of 64. Imported answers require independent review unless marked reviewed.

Topic practice 64 questionsPage 2 of 7

Question 49

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In the system shown below, the generator was initially supplying power to the grid. A temporary LLLG bolted fault occurs at F very close to circuit breaker 1. The circuit breakers open to isolate the line. The fault self-clears. The circuit breakers reclose and restore the line. Which one of the following diagrams best indicates the rotor accelerating and decelerating areas?
Diagram for Electrical Engineering question 49

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Question 64

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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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Question 19

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The figure shows the single line diagram of a 4-bus power network. Branches

,

,

, and

have impedances

,

,

, and

per-unit (pu), respectively, where

, with

and

. The current drawn from each load (marked as arrows) is equal to

pu, where

. If the network is to operate with minimum loss, the branch that should be opened is
Diagram for Electrical Engineering question 19

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Question 34

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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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Question 41

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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

,

,

, and

are strictly positive. The bus injections

and

are in pu. If

, where

, and the real power flow from bus 1 to bus 2 is 0 pu, then which one of the following options is correct?
Diagram for Electrical Engineering question 41

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Question 46

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For a two-phase network, the phase voltages

and

are to be expressed in terms of sequence voltages

and

as

. The possible option(s) for matrix

is/are
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Question 47

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Which of the following options is/are correct for the Automatic Generation Control (AGC) and Automatic Voltage Regulator (AVR) installed with synchronous generators?
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Question 56

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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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Question 20

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For the three-bus power system shown in the figure, the trip signals to the circuit breakers B₁ to B₉ are provided by overcurrent relays R₁ to R₉, respectively, some of which have directional properties also. The necessary condition for the system to be protected for short circuit fault at any part of the system between bus 1 and the R-L loads with isolation of minimum portion of the network using minimum number of directional relays is
Diagram for Electrical Engineering question 20

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Question 21

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The expressions of fuel cost of two thermal generation units as a function of the respective power generation

and

are given as

where a is a constant. For a given value of a, optimal dispatch requires the total load of 290 MW to be shared as

and

. With the load remaining unchanged, the value of a is increased by 10% and optimal dispatch is carried out. The changes in

and the total cost of generation, F (= F₁ + F₂) in Rs/hour will be as follows
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