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ElectricalPower System
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With bundled conductors

A

Corona inception voltage increases

B

Corona inception voltage decreases

C

Corona inception voltage remains unaffected

D

None of above

Correct Answer

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

Corona inception voltage increases

Quick Summary:

Bundled conductors increase the effective radius of the transmission line, which significantly reduces the surface voltage gradient. Since the corona inception voltage is directly proportional to the effective radius of the conductor, bundling leads to an increase in the corona inception voltage.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Bundled conductors increase the effective radius of the transmission line, which significantly reduces the surface voltage gradient. Since the corona inception voltage is directly proportional to the effective radius of the conductor, bundling leads to an increase in the corona inception voltage.

ЁЯФв Key Formulas

Vc=g0тЛЕ╬┤тЛЕmтЛЕrтЛЕlnтБб(Dr)V_c = g_0 \cdot \delta \cdot m \cdot r \cdot \ln(\frac{D}{r})VcтАЛ=g0тАЛтЛЕ╬┤тЛЕmтЛЕrтЛЕln(rDтАЛ) тАФ Corona inception voltage formula

E=VrlnтБб(Dr)E = \frac{V}{r \ln(\frac{D}{r})}E=rln(rDтАЛ)VтАЛ тАФ Electric field intensity at conductor surface

тЪЩя╕П Working Principle

Corona inception depends on the electric field intensity at the conductor surface, given by E=VrlnтБб(D/r)E = \frac{V}{r \ln(D/r)}E=rln(D/r)VтАЛ. By using bundled conductors, the geometric mean radius (GMR) increases. This increase in effective radius (reffr_{eff}reffтАЛ) reduces the surface stress for a given applied voltage, delaying the air ionization process and thereby increasing the inception voltage.

ЁЯУМ Key Points
  • тЦ╕

    Bundling increases the Geometric Mean Radius (GMR) of the conductor arrangement.

  • тЦ╕

    Higher effective radius reduces the maximum electric field stress on the surface.

  • тЦ╕

    Corona loss is inversely proportional to the square of the inception voltage.

  • тЦ╕

    Bundled conductors improve transmission efficiency by reducing corona loss and radio interference.

тЬЕ Advantages
  • тЦ╕

    Reduced corona loss

  • тЦ╕

    Lower line reactance (reduced inductance)

  • тЦ╕

    Higher surge impedance loading (SIL)

  • тЦ╕

    Reduced radio and television interference

тЭМ Disadvantages / Limitations
  • тЦ╕

    Increased wind load on towers

  • тЦ╕

    Complex hardware requirements (spacers)

  • тЦ╕

    Increased cost of installation

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Extra High Voltage (EHV) lines (400 kV and above)

  • тЦ╕

    Ultra High Voltage (UHV) transmission lines

ЁЯУД Additional Information
  • тЦ╕

    The corona inception voltage (VcV_cVcтАЛ) is the critical voltage at which the dielectric strength of air breaks down.

  • тЦ╕

    Option B is incorrect because bundling reduces surface stress, which pushes the threshold for ionization to a higher voltage level.

ЁЯУК Diagram / Illustration
Corona Inception Voltage Formula
VcтИЭrтЛЕlnтБб(Dr)V_c \propto r \cdot \ln((D / r))VcтАЛтИЭrтЛЕln(rDтАЛ)
Bundled Conductors тЖТ Increase in r тЖТ Increase in V_c
тЬЕ

A is correct тАФ Bundled conductors increase the effective radius of the line, which decreases the surface voltage gradient and consequently increases the corona inception voltage.

Core Concepts Used
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Corona Effect Geometric Mean Radius (GMR) Transmission Line Stress Dielectric Strength of Air
ЁЯТб EXAM TIP

Always remember that any design change increasing the effective surface area of a conductor (like bundling or increasing radius) helps in mitigating corona effects by lowering surface potential gradient.

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