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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalPower System
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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

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.

💡 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.

🔢 Key Formulas

VS=VR+I(R+jXL)V_S = V_R + I(R + jX_L)VS​=VR​+I(R+jXL​) — Voltage relation for a short transmission line

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

⚙️ 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×ZlineV_{drop} = I_{load} \times Z_{line}Vdrop​=Iload​×Zline​, where Zline=R+jXLZ_{line} = R + jX_LZline​=R+jXL​. At no-load, Iload=0I_{load} = 0Iload​=0, leading to Vdrop=0V_{drop} = 0Vdrop​=0. Consequently, VR=VS−0=VSV_R = V_S - 0 = V_SVR​=VS​−0=VS​.

📌 Key Points
  • ▸

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

  • ▸

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

  • ▸

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

  • ▸

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

🛠️ Applications / Uses
  • ▸

    Distribution network modeling

  • ▸

    Rural electrification studies

📄 Additional Information
  • ▸

    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.

  • ▸

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

📊 Diagram / Illustration
Short Line No-Load AnalysisR + jXₗVsVrAt No-load, I = 0, so Vᵣ = Vₛ
✅

C is correct — 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_SVR​=VS​.

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

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

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