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ElectricalPower System
PrevNext

As compared to sending end voltage, the receiving end voltage of a short line under no load condition is

A

Higher

B

Lower

C

Remains same

D

Insufficient data

Correct Answer

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

Remains same

Quick Summary:

In a short transmission line, the effect of capacitance is neglected. Under no-load conditions, no current flows through the series impedance (resistance and inductance), meaning there is no voltage drop across the line; thus, the receiving end voltage equals the sending end voltage.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In a short transmission line, the effect of capacitance is neglected. Under no-load conditions, no current flows through the series impedance (resistance and inductance), meaning there is no voltage drop across the line; thus, the receiving end voltage equals the sending end voltage.

ЁЯФв Key Formulas

VS=VR+I(R+jXL)V_S = V_R + I(R + jX_L)VSтАЛ=VRтАЛ+I(R+jXLтАЛ) тАФ Voltage relation for a short transmission line

I=0I = 0I=0 тАФ Current condition at no-load

тЪЩя╕П Working Principle

The short transmission line is modeled as a series combination of resistance (R) and inductance (L). According to Ohm's law, the voltage drop across the line is Vdrop=Iload├ЧZlineV_{drop} = I_{load} \times Z_{line}VdropтАЛ=IloadтАЛ├ЧZlineтАЛ, where Zline=R+jXLZ_{line} = R + jX_LZlineтАЛ=R+jXLтАЛ. At no-load, Iload=0I_{load} = 0IloadтАЛ=0, leading to Vdrop=0V_{drop} = 0VdropтАЛ=0. Consequently, VR=VSтИТ0=VSV_R = V_S - 0 = V_SVRтАЛ=VSтАЛтИТ0=VSтАЛ.

ЁЯУМ Key Points
  • тЦ╕

    Short lines are defined as having a length less than 80 km or voltage below 20 kV.

  • тЦ╕

    Capacitance is neglected in short lines due to its small effect compared to series impedance.

  • тЦ╕

    The Ferranti effect, which causes VR>VSV_R > V_SVRтАЛ>VSтАЛ, is only observed in long transmission lines due to the charging current flowing through the line capacitance.

  • тЦ╕

    Under no-load, the voltage regulation of a short transmission line is theoretically zero.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Distribution network modeling

  • тЦ╕

    Rural electrification studies

ЁЯУД Additional Information
  • тЦ╕

    Long lines experience the Ferranti Effect due to shunt capacitance, where the receiving end voltage at no-load is higher than the sending end voltage.

  • тЦ╕

    Option A is incorrect because it describes the Ferranti effect, which is negligible in short lines.

ЁЯУК Diagram / Illustration
Short Line No-Load AnalysisR + jXтВЧVsVrAt No-load, I = 0, so Vс╡г = VтВЫ
тЬЕ

C is correct тАФ Since there is no current flowing through the series impedance of a short line at no-load, the voltage drop is zero, resulting in VR=VSV_R = V_SVRтАЛ=VSтАЛ.

Core Concepts Used
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Short Transmission Line Model Voltage Regulation No-Load Condition
ЁЯТб EXAM TIP

Always differentiate between line lengths; Ferranti effect (VR>VSV_R > V_SVRтАЛ>VSтАЛ) is a signature characteristic of long lines under light load or no-load, not short lines.

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