GATE EE 2017 Set 1 — Question 49
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Electrical Machines → DC Machines → Generator & Motor Characteristics
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Question
A separately excited DC generator supplies 150 A to a 145 V DC grid. The generator is running at 800 RPM. The armature resistance of the generator is . If the speed of the generator is increased to 1000 RPM, the current in amperes supplied by the generator to the DC grid is ________. (Give the answer up to one decimal place.)
Correct answer
548 to 552
Solution
For a separately excited DC generator, the generated EMF () is related to the terminal voltage (), armature current (), and armature resistance () by the equation:Case 1:
Given:
A
V
RPMCalculate the initial generated EMF ():Case 2:
Given:
RPM
V (The grid voltage remains constant)For a separately excited generator, assuming the field current (and thus the flux ) remains constant, the generated EMF is directly proportional to the speed ():Now, calculate the new armature current () supplied to the grid:The current supplied by the generator to the DC grid is 550 A.
Given:
A
V
RPMCalculate the initial generated EMF ():Case 2:
Given:
RPM
V (The grid voltage remains constant)For a separately excited generator, assuming the field current (and thus the flux ) remains constant, the generated EMF is directly proportional to the speed ():Now, calculate the new armature current () supplied to the grid:The current supplied by the generator to the DC grid is 550 A.
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