The ABCD parameters are used to model transmission lines. When the load is disconnected, the receiving-end current ($I_R$) is zero. In such a case, the sending-end current ($I_S$) is purely the charging current, and it is given by $I_S = C V_R$, where $V_R$ is the receiving-end voltage. The receiving-end voltage can be found using $V_S = A V_R$. Therefore, the charging current $I_S = \frac{C V_S}{A}$. It is crucial to use phase voltages in the ABCD parameter calculations.
The line constants of a $200$ km, 3- $\phi$, $50$ Hz transmission line are given as following : $A = D = 0 \cdot 938 \angle 1 \cdot 2^\circ$ $B = 131 \cdot 2 \angle 72 \cdot 3^\circ \Omega/ $phase $C = 0 \cdot 001 \angle 90^\circ$ S/phase The sending-end voltage is $230$ kV. The value of the line charging current, when the load is disconnected, will be - $132 \cdot 8$ kA - $100 \cdot 5$ kA - $141 \cdot 5$ A
Asked in GS&EI ElectEngg 14 2024 1601 2025 · Topic: Electric Current (Series and parallel combination of resistors)
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