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Which of the following represents the value of parameters A and D for a transmission line in end condenser method?
A = 1 тИТ ZY; D = 1 + ZY
A = 1 + YZ, D = 1
A = 1; D = 1 + ZY
A = 1 + ZY; D = 1 + ZY
A = 1 + YZ, D = 1
In the end condenser method for medium transmission lines, the entire shunt capacitance is lumped at the receiving end of the line. The ABCD parameters for this model are derived by treating it as a series impedance Z followed by a shunt admittance Y across the receiving end.
In the end condenser method for medium transmission lines, the entire shunt capacitance is lumped at the receiving end of the line. The ABCD parameters for this model are derived by treating it as a series impedance Z followed by a shunt admittance Y across the receiving end.
A=1+YZ
B=Z
C=Y
D=1
The line is represented as a T-network or equivalent series-shunt circuit. By applying Kirchhoff's Voltage Law and Current Law at the terminals, the relation is given by the matrix equation [VSтАЛISтАЛтАЛ]=[1+YZYтАЛZ1тАЛ][VRтАЛIRтАЛтАЛ]. Thus, the parameters are A=1+YZ, B=Z, C=Y, and D=1.
End condenser method is the simplest approximation for medium transmission lines.
The model assumes all shunt capacitance is concentrated at the receiving end.
It is less accurate than Nominal ╧А or Nominal T methods.
The transmission line is treated as a cascade of an impedance Z and a shunt admittance Y.
Simple mathematical calculation.
Useful for initial estimation of voltage regulation.
Considered inaccurate for long transmission lines.
Fails to account for the distributed nature of parameters.
Short to medium length overhead transmission lines.
Basic power system load flow studies.
In the end condenser method, the receiving end current IRтАЛ is assumed to be the load current plus the capacitor current.
Option B is the correct representation derived from the cascade connection of series impedance and shunt admittance.
B is correct тАФ for the end condenser method, the parameters are defined as A=1+YZ and D=1.
Always remember that for reciprocal networks, the condition ADтИТBC=1 must be satisfied. For this method, (1+YZ)(1)тИТ(Z)(Y)=1+YZтИТYZ=1, which confirms the consistency of the parameters.
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