GATE Electrical Engineering (EE) 2020 Solved Paper

Question : 18 of 65

Marks: +1, -0

A three-phase cylindrical rotor synchronous generator has a synchronous reactance

X_{s}

and a negligible armature resistance. The magnitude of per phase terminal voltage is

{V}_{ {A}}

and the magnitude of per phase induced emf is

E_{A .}

Considering the following two statements,

P

and

Q

,
P: For any three-phase balanced leading load connected across the terminals of this synchronous generator,

V_{A}

is always more than

E_{A}

Q: For any three-phase balanced lagging load connected across the terminals of this synchronous generator,

V_{A}

is always less than

E_{A}

which of the following options is correct?

$P$ is false, and $Q$ is true.
$P$ is true, and $Q$ is true.
$P$ is true, and $Q$ is false.
$P$ is false, and $Q$ is false.

Validate

Solution:

The voltage regulation for lagging loads

(R_{a}=0)

FIG

E

is always greater than

V

, hence voltage regulation is always positive

The voltage regulation for leading loads

(R_{a}=0)

There is no generalisation like lagging loads, the voltage regulation depends upon two factors for a
(i) Quantity of load (load magnitude)
(ii) Quality of load (load power factor)

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