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For AC transmission line of length not exceeding 80 km, it is usual to lump the line capacitance at
Sending end
Receiving end
Midpoint
Any convenient point
Receiving end
For short transmission lines (length тЙд 80 km), the effect of shunt capacitance is negligible compared to series resistance and inductance. To simplify analytical calculations, the total shunt capacitance is typically lumped at the receiving end, creating what is known as the Short Transmission Line Model (or T-equivalent neglecting shunt branch).
For short transmission lines (length тЙд 80 km), the effect of shunt capacitance is negligible compared to series resistance and inductance. To simplify analytical calculations, the total shunt capacitance is typically lumped at the receiving end, creating what is known as the Short Transmission Line Model (or T-equivalent neglecting shunt branch).
VSтАЛ=VRтАЛ+IRтАЛZ тАФ Sending end voltage for short transmission line
ISтАЛ=IRтАЛ тАФ Sending end current approximation
In a short line, the charging current ICтАЛ=V╧ЙC is extremely small relative to the load current. By lumping the capacitance at the receiving end, the model assumes the series impedance (Z=R+jXLтАЛ) carries the entire load current, which provides a conservative estimate for voltage regulation and is sufficient for practical engineering analysis.
Short lines are defined as lines with length тЙд 80 km or operating voltage below 20 kV.
The shunt admittance Y is usually ignored in the ABCD parameter matrix for short lines.
If Y is considered, the model is referred to as the Nominal-╧А or T model for medium lines.
The receiving end lumping allows for a simple series impedance calculation.
Simplifies power flow calculations
Provides sufficiently accurate results for short distances
Reduces complexity in relay setting calculations
Inaccurate for long lines where distributed parameters are critical
Neglects the phase shift introduced by capacitive charging currents
Distribution network modeling
Short-distance industrial feeder lines
Preliminary power system stability studies
For lines between 80 km and 250 km, the Nominal-╧А or Nominal-T models are used where capacitance is split.
Option A is incorrect because charging current originates throughout the line; placing it at the sending end ignores line impedance drop effects.
B is correct тАФ For short transmission lines (тЙд 80 km), the shunt capacitance is mathematically lumped at the receiving end to simplify the circuit model as a simple series impedance.
Always remember: Short line (<80 km) uses series Z, Medium line (80тИТ250 km) uses ╧А or T model, and Long line (>250 km) requires rigorous distributed parameter equations using hyperbolic functions.