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ElectricalPower System
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Corona loss in a transmission line is dependent on

A

Diameter of the conductor

B

Material of the conductor

C

Height of the conductor

D

All of above

Correct Answer

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

Diameter of the conductor

Quick Summary:

Corona loss is primarily dependent on the conductor diameter, as it directly influences the surface electric field intensity and the disruptive critical voltage of the transmission line. A larger conductor diameter reduces the surface potential gradient, thereby minimizing ionization of the surrounding air and reducing corona loss.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Corona loss is primarily dependent on the conductor diameter, as it directly influences the surface electric field intensity and the disruptive critical voltage of the transmission line. A larger conductor diameter reduces the surface potential gradient, thereby minimizing ionization of the surrounding air and reducing corona loss.

ЁЯФв Key Formulas

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

PтИЭ(f+25)rd(VтИТVc)2P \propto (f+25) \sqrt{\frac{r}{d}} (V-V_c)^2PтИЭ(f+25)drтАЛтАЛ(VтИТVcтАЛ)2 тАФ Peek's law for power loss due to corona

тЪЩя╕П Working Principle

Corona is an electrical discharge caused by the ionization of fluid surrounding a conductor, which occurs when the potential gradient exceeds the dielectric strength of air. Peek's law indicates that the loss is proportional to (f+25)rd(VтИТVc)2(f+25) \sqrt{\frac{r}{d}} (V-V_c)^2(f+25)drтАЛтАЛ(VтИТVcтАЛ)2, where rrr is the radius of the conductor. As the diameter increases, the surface electric field intensity E=VrlnтБб(D/r)E = \frac{V}{r \ln(D/r)}E=rln(D/r)VтАЛ decreases, delaying the onset of ionization.

ЁЯУМ Key Points
  • тЦ╕

    Corona loss is directly proportional to the supply frequency (fff).

  • тЦ╕

    It depends on the surface condition of the conductor (roughness factor).

  • тЦ╕

    Air density and humidity significantly affect the disruptive critical voltage (VcV_cVcтАЛ).

  • тЦ╕

    Larger diameter conductors (e.g., bundled conductors) are used to mitigate corona.

тЬЕ Advantages
  • тЦ╕

    Used for visual signaling of high voltage lines.

  • тЦ╕

    Reduces the intensity of traveling waves by dissipating energy.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Leads to significant power loss in EHV lines.

  • тЦ╕

    Causes radio and television interference due to harmonic emissions.

  • тЦ╕

    Produces ozone, which can corrode metallic conductors.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Transmission line design (use of bundle conductors).

  • тЦ╕

    Corona motors and electro-static precipitators.

ЁЯУД Additional Information
  • тЦ╕

    Option B (Material) has a negligible effect on corona loss compared to geometry.

  • тЦ╕

    Option C (Height) affects the capacitance and VcV_cVcтАЛ slightly, but the diameter is the dominant design parameter for controlling the surface gradient.

  • тЦ╕

    The standard value for the disruptive critical voltage gradient is approximately 30 kV/cm (peak).

ЁЯУК Diagram / Illustration
Peek's Corona Loss Formula
PтИЭ(f+25)rd(VтИТVc)2P \propto (f + 25) \sqrt{(r / d)} (V - V_c)^2PтИЭ(f+25)drтАЛтАЛ(VтИТVcтАЛ)2
Where r = Conductor RadiusIncreasing r decreases the loss gradient
тЬЕ

A is correct тАФ The conductor diameter inversely affects the surface potential gradient, directly influencing the onset and magnitude of corona discharge.

Core Concepts Used
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Ionization of Air Surface Potential Gradient Disruptive Critical Voltage
ЁЯТб EXAM TIP

In exams, if asked for the most effective way to reduce corona, always prioritize 'Increasing Conductor Diameter' or 'Using Bundled Conductors' over changing material or height.

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