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ElectricalPower System
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For AC transmission line of length not exceeding 80 km, it is usual to lump the line capacitance at

A

Sending end

B

Receiving end

C

Midpoint

D

Any convenient point

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalPower System
Option B

Receiving end

Quick Summary:

For short transmission lines (length тЙд\leтЙд 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).

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

For short transmission lines (length тЙд\leтЙд 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).

ЁЯФв Key Formulas

VS=VR+IRZV_S = V_R + I_R ZVSтАЛ=VRтАЛ+IRтАЛZ тАФ Sending end voltage for short transmission line

IS=IRI_S = I_RISтАЛ=IRтАЛ тАФ Sending end current approximation

тЪЩя╕П Working Principle

In a short line, the charging current IC=V╧ЙCI_C = V \omega CICтАЛ=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+jXLZ = R + jX_LZ=R+jXLтАЛ) carries the entire load current, which provides a conservative estimate for voltage regulation and is sufficient for practical engineering analysis.

ЁЯУМ Key Points
  • тЦ╕

    Short lines are defined as lines with length тЙд\leтЙд 80 km or operating voltage below 20 kV.

  • тЦ╕

    The shunt admittance YYY is usually ignored in the ABCD parameter matrix for short lines.

  • тЦ╕

    If YYY is considered, the model is referred to as the Nominal-╧А\pi╧А or T model for medium lines.

  • тЦ╕

    The receiving end lumping allows for a simple series impedance calculation.

тЬЕ Advantages
  • тЦ╕

    Simplifies power flow calculations

  • тЦ╕

    Provides sufficiently accurate results for short distances

  • тЦ╕

    Reduces complexity in relay setting calculations

тЭМ Disadvantages / Limitations
  • тЦ╕

    Inaccurate for long lines where distributed parameters are critical

  • тЦ╕

    Neglects the phase shift introduced by capacitive charging currents

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Distribution network modeling

  • тЦ╕

    Short-distance industrial feeder lines

  • тЦ╕

    Preliminary power system stability studies

ЁЯУД Additional Information
  • тЦ╕

    For lines between 80 km and 250 km, the Nominal-╧А\pi╧А or Nominal-T models are used where capacitance is split.

  • тЦ╕

    Option A is incorrect because charging current originates throughout the line; placing it at the sending end ignores line impedance drop effects.

ЁЯУК Diagram / Illustration
Short Line (Lumped at Rx End)Sending EndR + jXRx End + C
тЬЕ

B is correct тАФ For short transmission lines (тЙд\leтЙд 80 km), the shunt capacitance is mathematically lumped at the receiving end to simplify the circuit model as a simple series impedance.

Core Concepts Used
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Short Transmission Line Model Lumped Parameter Circuits Shunt Capacitance Modeling
ЁЯТб EXAM TIP

Always remember: Short line (<80<80<80 km) uses series ZZZ, Medium line (80тИТ25080-25080тИТ250 km) uses ╧А\pi╧А or TTT model, and Long line (>250>250>250 km) requires rigorous distributed parameter equations using hyperbolic functions.

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