Test Academy | Two buses, i and j, are connected with a transmission line of admittance Y, at the two ends of which there are ideal transformers with turns ratio as shown below. Bus admittance matrix for the system is [ − t i t j Y t j 2 Y t i 2 Y − t i t j Y ] , [ t i t j Y − t j 2 Y − t i 2 Y t i t j Y ] , [ t i 2 Y − t i t j Y − t i t j Y t j 2 Y ] , [ t i t j Y − ( t i − t j ) 2 Y − ( t i − t j ) 2 Y t i t j Y ]

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Two buses, i and j, are connected with a transmission line of admittance Y, at the two ends of which there are ideal transformers with turns ratio as shown below. Bus admittance matrix for the system is

Options :

$[\begin{matrix} - t_{i} t_{j} Y & t_{j}^{2} Y \\ t_{i}^{2} Y & - t_{i} t_{j} Y \end{matrix}]$
$[\begin{matrix} t_{i} t_{j} Y & - t_{j}^{2} Y \\ - t_{i}^{2} Y & t_{i} t_{j} Y \end{matrix}]$
$[\begin{matrix} t_{i}^{2} Y & - t_{i} t_{j} Y \\ - t_{i} t_{j} Y & t_{j}^{2} Y \end{matrix}]$
$[\begin{matrix} t_{i} t_{j} Y & - {(t_{i} - t_{j})}^{2} Y \\ - {(t_{i} - t_{j})}^{2} Y & t_{i} t_{j} Y \end{matrix}]$

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