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ElectricalPower System
PrevNext

Corona loss is less when the shape of the conductor is

A

Circular

B

Flat

C

Oval

D

Independent of shape

Correct Answer

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

Circular

Quick Summary:

Corona loss is minimized when the electric field intensity at the surface of the conductor is uniform. A circular conductor provides a perfectly uniform distribution of the electric field around its perimeter, which prevents localized regions of high field intensity that trigger air ionization.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Corona loss is minimized when the electric field intensity at the surface of the conductor is uniform. A circular conductor provides a perfectly uniform distribution of the electric field around its perimeter, which prevents localized regions of high field intensity that trigger air ionization.

ЁЯФв Key Formulas

Pc=242.2тЛЕf+25╬┤тЛЕrDтЛЕ(VтИТVc)2├Ч10тИТ5P_c = 242.2 \cdot \frac{f+25}{\delta} \cdot \sqrt{\frac{r}{D}} \cdot (V - V_c)^2 \times 10^{-5}PcтАЛ=242.2тЛЕ╬┤f+25тАЛтЛЕDrтАЛтАЛтЛЕ(VтИТVcтАЛ)2├Ч10тИТ5 тАФ Empirical formula for Corona Loss in kW/km/phase

gmax=VrтЛЕlnтБб(D/r)g_{max} = \frac{V}{r \cdot \ln(D/r)}gmaxтАЛ=rтЛЕln(D/r)VтАЛ тАФ Maximum electric field intensity at the surface

тЪЩя╕П Working Principle

Corona discharge occurs when the voltage gradient at the conductor surface exceeds the breakdown strength of air (dielectric strength). The gradient is given by g=VrlnтБб(D/r)g = \frac{V}{r \ln(D/r)}g=rln(D/r)VтАЛ. By using a smooth circular conductor, we ensure that the radius rrr is constant at every point, maintaining a uniform ggg and minimizing localized ionization concentrations.

ЁЯУМ Key Points
  • тЦ╕

    Corona loss is directly proportional to the frequency and the square of the overvoltage above the critical disruptive voltage.

  • тЦ╕

    Non-circular shapes like flat or oval conductors create sharp edges or regions with smaller radii of curvature, leading to higher local electric field stress.

  • тЦ╕

    Higher field stress leads to easier air ionization and increased power loss.

  • тЦ╕

    Smoothness of the conductor surface is crucial; surface irregularities (nicks, scratches) act as local points of increased stress.

тЬЕ Advantages
  • тЦ╕

    Lower power loss in transmission lines

  • тЦ╕

    Reduced electromagnetic interference (EMI)

  • тЦ╕

    Less audible noise and ozone production

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    High-voltage AC transmission line design

  • тЦ╕

    ACSR (Aluminum Conductor Steel Reinforced) conductor selection

ЁЯУД Additional Information
  • тЦ╕

    Surface condition is as important as the shape; stranded conductors are preferred over flat ribbons to approximate circular geometry.

  • тЦ╕

    Option B (Flat) and C (Oval) are poor choices because sharp edges concentrate electric flux lines (Gauss's Law applications), significantly increasing local field intensity (E=╧Г/╧╡0E = \sigma / \epsilon_0E=╧Г/╧╡0тАЛ).

ЁЯУК Diagram / Illustration
Corona Inception Gradient (g)Vr ┬╖ ln(D/r)Uniform distribution for circular conductor
тЬЕ

A is correct тАФ A circular conductor ensures a uniform electric field distribution, which keeps the surface voltage gradient constant and minimizes the likelihood of reaching the ionization threshold.

Core Concepts Used
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Electric field stress concentration Dielectric strength of air Critical disruptive voltage Conductor surface geometry
ЁЯТб EXAM TIP

Always remember that field intensity is inversely proportional to the radius of curvature; sharp corners increase the local gradient and drastically increase corona discharge.

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