GATE Electrical Engineering (EE) 2018 Solved Paper

Question : 11 of 65

Marks: +1, -0

Consider a lossy transmission line with

V_{1}

and

V_{2}

as the sending and receiving end voltages, respectively.

{Z}

and

{X}

are the series impedance and reactance of the line, respectively. The steady-state stability limit for the transmission line will be

Solution:

With only x :

P_{\max }=|\;{V_{1} V_{2}}/{x}|

With Lossy Tr. Line

P=|\;{V_{2} V_{2}}/{z}| \cos (β-δ)-|\;{A V_{2}^{2}}/{z}| \cos (β-α)

∴

With Lossy Line

P_{\max }<|\;{V_{1} V_{2}}/{x}|

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