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Which of the following is true for the performance analysis of medium transmission line using end condenser method?
The voltage across the load is higher than the voltage across the each different distributed line capacitance.
The voltage across the load is higher than the voltage across the lumped line capacitance.
The voltage across the load is lower than the voltage across the each different distributed line capacitance.
The voltage across the load is equal to the voltage across the lumped line capacitance.
The voltage across the load is equal to the voltage across the lumped line capacitance.
In the end condenser method for medium transmission lines, the total distributed shunt capacitance of the line is lumped at the receiving end of the line. Consequently, the voltage across this lumped capacitor is identical to the load voltage, as they are connected in parallel.
In the end condenser method for medium transmission lines, the total distributed shunt capacitance of the line is lumped at the receiving end of the line. Consequently, the voltage across this lumped capacitor is identical to the load voltage, as they are connected in parallel.
VSтАЛ=VRтАЛ+ISтАЛ(R+jXLтАЛ) тАФ Sending end voltage where ISтАЛ=IRтАЛ+j╧ЙCVRтАЛ
ISтАЛ=IRтАЛ+ICтАЛ=IRтАЛ+XCтАЛVRтАЛтАЛ тАФ Sending end current
This method simplifies the complex distributed parameter circuit by assuming the total line capacitance C is concentrated at the load end. Since the capacitor is in parallel with the load impedance, the potential difference across the load VRтАЛ is exactly equal to the potential difference across the capacitor.
The end condenser method is one of the approximate methods for medium transmission line analysis.
It assumes the line is short enough that series impedance is lumped and all shunt capacitance is lumped at the receiving end.
This method results in a slightly higher error compared to the nominal-T or nominal-╧А methods.
Simple manual calculation
Easy to visualize the charging current effect at no-load
Significant inaccuracy for long lines
Does not represent the actual physical distribution of parameters
Analysis of short to medium overhead transmission lines
Preliminary power system studies
The end condenser method is specifically designed for lines of length up to 80 km.
Options A, B, and C are incorrect because the lumped capacitor is physically in parallel with the load, ensuring equipotential nodes.
D is correct тАФ The voltage across the load is equal to the voltage across the lumped line capacitance.
Always remember that in the end condenser method, the shunt admittance is placed directly across the load terminals, meaning VcapacitorтАЛ=VloadтАЛ=VRтАЛ.
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