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ElectricalPower System
PrevNext

The current drawn by the line owing to corona loss is

A

Non-sinusoidal

B

Sinusoidal

C

DC

D

Square

Correct Answer

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

Non-sinusoidal

Quick Summary:

Corona discharge is a non-linear phenomenon that occurs when the electric field strength exceeds the dielectric strength of air. Because the ionization process depends non-linearly on the instantaneous applied voltage, the resulting corona current waveform is non-sinusoidal, even if the applied voltage is purely sinusoidal.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Corona discharge is a non-linear phenomenon that occurs when the electric field strength exceeds the dielectric strength of air. Because the ionization process depends non-linearly on the instantaneous applied voltage, the resulting corona current waveform is non-sinusoidal, even if the applied voltage is purely sinusoidal.

ЁЯФв Key Formulas

Pc=241╬┤(f+25)rD(VтИТVc)2├Ч10тИТ5P_c = \frac{241}{\delta}(f + 25)\sqrt{\frac{r}{D}}(V - V_c)^2 \times 10^{-5}PcтАЛ=╬┤241тАЛ(f+25)DrтАЛтАЛ(VтИТVcтАЛ)2├Ч10тИТ5 тАФ Peek's law for power loss due to corona (kW/phase/km)

Vc=m0g0╬┤rlnтБб(Dr)V_c = m_0 g_0 \delta r \ln(\frac{D}{r})VcтАЛ=m0тАЛg0тАЛ╬┤rln(rDтАЛ) тАФ Critical disruptive voltage calculation

тЪЩя╕П Working Principle

As the applied AC voltage rises above the critical disruptive voltage, air molecules near the conductor surface become ionized. This ionization is confined to the peaks of the voltage wave, creating a sudden flow of charge during these intervals. Consequently, the current waveform exhibits pulses or harmonics rather than a smooth sine wave, resulting in a non-sinusoidal current signal.

ЁЯУМ Key Points
  • тЦ╕

    Corona occurs only when the voltage gradient exceeds the breakdown strength of air (approx 30 kV/cm peak).

  • тЦ╕

    Non-sinusoidal current leads to the generation of harmonics in the power system.

  • тЦ╕

    Corona results in power loss, radio interference, and audible noise.

  • тЦ╕

    The wave shape of the corona current is distorted due to the non-linear relationship between voltage and current during the ionization cycle.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Power loss in transmission lines

  • тЦ╕

    Generation of electromagnetic interference (EMI) and radio interference

  • тЦ╕

    Chemical corrosion due to Ozone (O3O_{3}O3тАЛ) formation

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    High Voltage Transmission Line Engineering

  • тЦ╕

    Insulation Coordination studies

ЁЯУД Additional Information
  • тЦ╕

    Corona is more significant in AC systems than in DC systems due to the cyclic ionization and deionization.

  • тЦ╕

    Option B (Sinusoidal) is incorrect because the ionization process is restricted to voltage peaks, distorting the waveform.

  • тЦ╕

    Option D (Square) implies a switching behavior not present in atmospheric corona discharge.

ЁЯУК Diagram / Illustration
Corona Current MechanismIonization SpikesIt
тЬЕ

A is correct тАФ The ionization process depends non-linearly on the applied voltage, causing the drawn current to be non-sinusoidal.

Core Concepts Used
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Corona Discharge Non-linear Loads Power System Harmonics
ЁЯТб EXAM TIP

Always remember that any non-linear electrical discharge phenomenon (like corona or arc) inherently introduces harmonics into the system, making the current waveform non-sinusoidal.

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