GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 19 of 65

Marks: +1, -0

The

Y_{\;\text "bus "\;}

matrix of a two-bus power system having two identical parallel lines connected between them in pu is given as

Y_{\;\text "bus "\;}=[\table - {j} 8 , {j} 20 ; {j} 20 , - {j} 8 ]

The magnitude of the series reactance of each line in pu (round off up to one decimal place) is ___________

Solution:

Y_{\;\text "bus "\;}=\;{1}/{2}[\table - {{j} 8}↖{1} , {{j} 20}↖{2} ; {j} 20 , - {j} 8]

The series admittance of line connected between bus1 and 2 is

{y}_{12}=- {Y}_{12}=- {j} 20

as two lines are in parallel, each line admittance will be,

{y}_{\;\text "line "\;} \;\; =\;{- {j} 20}/{2}

\;\; =- {j} 10 {pu}

series impedance of line,

z_{\;\text "line "\;}=\;{1}/{-j 10}=j 0.1 {pu}

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