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ElectricalPower System
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A string efficiency of 100% implies that

A

Shunt capacitance is 1 Micro Farad

B

Potential across each disc is same

C

Potential across each disc is zero

D

One of the insulator disc is shorted

Correct Answer

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

Potential across each disc is same

Quick Summary:

String efficiency is defined as the ratio of the total voltage across the string to the product of the number of discs and the voltage across the disc nearest to the conductor. A string efficiency of 100% means that the voltage across every disc in the string is identical.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

String efficiency is defined as the ratio of the total voltage across the string to the product of the number of discs and the voltage across the disc nearest to the conductor. A string efficiency of 100% means that the voltage across every disc in the string is identical.

ЁЯФв Key Formulas

╬╖=Vtotaln├ЧVdiscmax├Ч100%\eta = \frac{V_{total}}{n \times V_{disc_max}} \times 100\%╬╖=n├ЧVdiscmтАЛaxтАЛVtotalтАЛтАЛ├Ч100% тАФ General formula for string efficiency

Vdisci=VtotalnV_{disc_i} = \frac{V_{total}}{n}VdisciтАЛтАЛ=nVtotalтАЛтАЛ тАФ Condition for 100% efficiency

тЪЩя╕П Working Principle

In a transmission line insulator string, shunt capacitance to the tower causes non-uniform voltage distribution, where the disc nearest to the conductor experiences the highest stress. If the shunt capacitance were zero, the voltage distribution would be perfectly uniform across all discs. Since string efficiency is defined as ╬╖=VtotalnтЛЕVconductordisc\eta = \frac{V_{total}}{n \cdot V_{conductor_disc}}╬╖=nтЛЕVconductordтАЛiscтАЛVtotalтАЛтАЛ, reaching 100% implies Vconductordisc=VtotalnV_{conductor_disc} = \frac{V_{total}}{n}VconductordтАЛiscтАЛ=nVtotalтАЛтАЛ, which signifies an equal potential drop across every disc.

ЁЯУМ Key Points
  • тЦ╕

    Uniform voltage distribution is ideal but practically impossible due to shunt capacitance.

  • тЦ╕

    String efficiency is always less than 100% in practical overhead transmission lines.

  • тЦ╕

    Higher number of discs results in lower string efficiency for a given voltage level.

тЬЕ Advantages
  • тЦ╕

    Equalizes electrical stress on all insulators.

  • тЦ╕

    Prevents premature failure of the disc nearest to the conductor.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Requires complex grading of capacitance or long cross-arms to achieve near-uniform distribution.

  • тЦ╕

    100% is physically unattainable in standard suspension strings.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Design of HV transmission lines.

  • тЦ╕

    Insulator string configuration analysis.

ЁЯУД Additional Information
  • тЦ╕

    Shunt capacitance is the stray capacitance between the metal link of each insulator disc and the earthed tower structure.

  • тЦ╕

    Option C is incorrect because potential across each disc must be equal to V/n, not zero. Option D would short one disc, reducing the total effective number of discs rather than equalizing voltage.

ЁЯУК Diagram / Illustration
String Efficiency DefinitionTotal Voltage (V)n ├Ч Voltage of bottom discEfficiency = 100% when V = n ├Ч V_disc
тЬЕ

B is correct тАФ A string efficiency of 100% signifies that the potential is uniformly distributed, meaning each disc supports an identical fraction of the total string voltage.

Core Concepts Used
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Transmission Line Insulators Voltage Distribution String Efficiency
ЁЯТб EXAM TIP

Always remember that the disc closest to the line conductor carries the maximum voltage stress in a practical string due to shunt capacitance; therefore, efficiency is never 100% in actual installations.

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