GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 43 of 65

Marks: +1, -0

In the single machine infinite bus system shown below, the generator is delivering the real power of

0.8

pu at

0.8

power factor lagging to the infinite bus. The power angle of the generator in degrees (round off to one decimal place) is____________.

Solution:

Given data:
Per phase equivalent circuit,
Real power injected to

∞

-bus,

{P}=0.8 {pu}

\cos ϕ =0.8 {lag}

ϕ =36.86 {lag}

{P}= {VI} \cos ϕ

{I}=\;{0.8}/{1 × 0.8}=1 {pu}

now,

\ov{ {I}}=1<-36.86^{∘}

\ov{ {E}}=\ov{ {V}}+\ov{ {I}}(Z_{ {eq}})

=1 ∠ 0^{∘}+(1 ∠-36.86^{∘})( {j} 0.65)=1+(0.8- {j} 0.6)( {j} 0.65)

| {E}| ∠ δ=1.3899+ {j} 0.52 {pu}

The power angle

δ=\tan ^{-1}(\;{0.52}/{1.3899})=20.514^{∘}

Go to Question:

Prev Question

Next Question