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GATE 2019: Champion Test Power System (App update required to attempt this test)
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Question 1
If the charging reactance is given as 1000Ω for a 75 km transmission line. Then, what is the charging reactance for 100 km length of line?
Question 2
A transmission line having a reactance of 3 pu is operating at 
3 pu. The generator is connected at source end which is delivering 2 pu of active power. Find the load angle?
3 pu. The generator is connected at source end which is delivering 2 pu of active power. Find the load angle? Question 3
If the relay setting is 50% and CT ratio is 500:4 and plug setting multiplier is 10. What is the fault current?
Question 4
Consider the following statement regarding voltage stability definitions
A) A power system at a given operating state and subjected to a given disturbance is voltage stable if voltage near loads approach post disturbance equilibrium values
B) A power system at a given operating state and subjected to a given disturbance undergoes voltage collapse if post- disturbance equilibrium voltages are below acceptable limits.
Choose the correct option considering above two statements?
A) A power system at a given operating state and subjected to a given disturbance is voltage stable if voltage near loads approach post disturbance equilibrium values
B) A power system at a given operating state and subjected to a given disturbance undergoes voltage collapse if post- disturbance equilibrium voltages are below acceptable limits.
Choose the correct option considering above two statements?
Question 5
A domestic consumer received a monthly bill of Rs.1350 with a load factor of 45%. The rate of electricity is Rs.90 per kW of maximum demand and Rs.2.50 per unit of energy consumption. Assuming 30 days in a month, find the monthly electricity consumption [in kWhr] of the consumer.
Question 6
For the balanced Y-Y connected 3-Phase circuit shown in the figure below, the line-line voltage is 208 V rms and the total power absorbed by the load is 432 W at a power factor of 0.6 leading.
The approximate value of the impedance Z is
The approximate value of the impedance Z is
Question 7
In a 3 phase, 3 wire system the conductors are arranged in a horizontal plane with spacing D13 = 4m, D12=2m=D23. Conductors are transposed having diameter of 2.5cm. The ratio of mutual GMD to self GMD =?
Question 8
What is the required optimal area (in mm2) of cross-section of cable that needs to withstand Maximum short circuit current of 44.54 kA (Peak value) for 3.0 seconds. The Cable is made of Copper with value of k = 0.143 kA/Sq.mm.
Question 9
Incremental fuel costs in Rs per MW hour for two units in a plant are given by
The minimum and maximum loads on each unit are to be 20MW and 125MW respectively. Determine the incremental fuel cost when the total load is 150MW. Assume both the units operating.
The minimum and maximum loads on each unit are to be 20MW and 125MW respectively. Determine the incremental fuel cost when the total load is 150MW. Assume both the units operating.
Question 10
In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is 
.If there are 20 PV buses in addition to PQ buses and a slack bus, the total number of buses in the system is ________.
.If there are 20 PV buses in addition to PQ buses and a slack bus, the total number of buses in the system is ________. Question 11
The figure shows the single line diagram of a single machine infinite bus system.
The inertia constant of the synchronous generator H = 5 MW-s/MVA. Frequency is 50 Hz. Mechanical power is 1 p.u. The system is operating at the stable equilibrium point with rotor angle δ equal to 30o. A three phase short circuit fault occurs at a certain location on one of the circuits of the double circuit transmission line. During fault, electrical power in p.u. is Pmax.sinδ. If the values of δ and dδ/dt at the instant of fault clearing are 45c and 3.762 radian/s respectively, then Pmax (in p.u.) is
The inertia constant of the synchronous generator H = 5 MW-s/MVA. Frequency is 50 Hz. Mechanical power is 1 p.u. The system is operating at the stable equilibrium point with rotor angle δ equal to 30o. A three phase short circuit fault occurs at a certain location on one of the circuits of the double circuit transmission line. During fault, electrical power in p.u. is Pmax.sinδ. If the values of δ and dδ/dt at the instant of fault clearing are 45c and 3.762 radian/s respectively, then Pmax (in p.u.) is
Question 12
A generator is rated for 0.9 lag power factor. The turbine rating is specified tp match the real power at rated power factor. Assuming the rating of the turbine fixed, determine the reactive power capability at full load?
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Mar 8ESE & GATE EE
