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ElectricalPower System
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Consider the following statements:

1 ┬╖ By using bundle conductors in an overhead line, the corona loss is reduced.

2 ┬╖ By using bundle conductors, the inductance of transmission line increases and capacitance reduces.

3 ┬╖ Corona loss causes interference in adjoining communication lines ┬╖ Which of these statements are correct?

A

1 and 2

B

2 and 3

C

1 and 3

D

1, 2 and 3

Correct Answer

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

1 and 3

Quick Summary:

Bundle conductors reduce the electric field intensity at the surface of the conductors by increasing the effective radius of the transmission line ┬╖ Since corona loss depends on the voltage gradient being higher than the critical disruptive voltage, increasing this radius effectively raises the critical voltage, thereby minimizing corona loss and associated interference.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Bundle conductors reduce the electric field intensity at the surface of the conductors by increasing the effective radius of the transmission line ┬╖ Since corona loss depends on the voltage gradient being higher than the critical disruptive voltage, increasing this radius effectively raises the critical voltage, thereby minimizing corona loss and associated interference.

ЁЯФв Key Formulas

L=2├Ч10тИТ7lnтБб(GMDGMR)L = 2 \times 10^{-7} \ln(\frac{GMD}{GMR})L=2├Ч10тИТ7ln(GMRGMDтАЛ) тАФ Inductance per meter

C=2╧А╧╡0lnтБб(GMD/GMR)C = \frac{2\pi \epsilon_0}{\ln(GMD/GMR)}C=ln(GMD/GMR)2╧А╧╡0тАЛтАЛ тАФ Capacitance per meter

тЪЩя╕П Working Principle

The effective GMR (Geometric Mean Radius) of a bundled conductor is much larger than that of a single conductor ┬╖ As the effective radius Reff=rтЛЕdnтИТ1nR_{eff} = \sqrt[n]{r \cdot d^{n-1}}ReffтАЛ=nrтЛЕdnтИТ1тАЛ increases, the inductance L=2├Ч10тИТ7lnтБб(GMDGMR)L = 2 \times 10^{-7} \ln(\frac{GMD}{GMR})L=2├Ч10тИТ7ln(GMRGMDтАЛ) decreases, and the capacitance C=2╧А╧╡0lnтБб(GMD/GMR)C = \frac{2\pi \epsilon_0}{\ln(GMD/GMR)}C=ln(GMD/GMR)2╧А╧╡0тАЛтАЛ increases, contrary to the claim in statement 2.

ЁЯУМ Key Points
  • тЦ╕

    Corona loss is proportional to (f+25)rd(VтИТVc)2(f+25) \sqrt{\frac{r}{d}} (V - V_c)^2(f+25)drтАЛтАЛ(VтИТVcтАЛ)2

  • тЦ╕

    Bundle conductors increase the surge impedance loading (SIL) capacity of the line

  • тЦ╕

    Interference in communication circuits occurs due to the high-frequency harmonics generated by corona discharge

тЬЕ Advantages
  • тЦ╕

    Reduction in corona loss and radio interference

  • тЦ╕

    Increased power transfer capability

  • тЦ╕

    Reduction in line inductance

тЭМ Disadvantages / Limitations
  • тЦ╕

    Increased wind loading on towers

  • тЦ╕

    Complexity in design and installation

  • тЦ╕

    Higher costs due to additional hardware and spacers

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Extra High Voltage (EHV) transmission lines

  • тЦ╕

    Ultra High Voltage (UHV) transmission lines

ЁЯУД Additional Information
  • тЦ╕

    Statement 2 is incorrect because the use of bundle conductors actually increases the capacitance (due to larger effective diameter) and decreases the inductance.

  • тЦ╕

    Corona loss is often calculated using Peek's Law.

ЁЯУК Diagram / Illustration
Bundle Conductor ParametersInductance (L) decreasesCapacitance (C) increasesSurface Voltage Gradient decreases
тЬЕ

C is correct тАФ Bundle conductors decrease inductance and increase capacitance, while successfully reducing corona loss and communication interference.

Core Concepts Used
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Bundle Conductors Corona Effect Transmission Line Parameters
ЁЯТб EXAM TIP

Always remember that bundling increases the effective radius, which inversely affects L (decreases) and C (increases), a classic relationship tested in both Power Systems and EMFT.

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