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ElectricalPower System
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The square root of the ratio of line impedance and shunt admittance is known as the line

A

A) Surge impedance

B

B) Conductance

C

C) Susceptance

D

D) Admittance

Correct Answer

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

Surge impedance

Quick Summary:

The surge impedance (or characteristic impedance) of a transmission line is defined as the square root of the ratio of its series impedance (ZZZ) to its shunt admittance (YYY). For a lossless line, it is given by Zc=LCZ_c = \sqrt{\frac{L}{C}}ZcтАЛ=CLтАЛтАЛ, representing the impedance offered to traveling waves.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The surge impedance (or characteristic impedance) of a transmission line is defined as the square root of the ratio of its series impedance (ZZZ) to its shunt admittance (YYY). For a lossless line, it is given by Zc=LCZ_c = \sqrt{\frac{L}{C}}ZcтАЛ=CLтАЛтАЛ, representing the impedance offered to traveling waves.

ЁЯФв Key Formulas

Zc=zy=R+j╧ЙLG+j╧ЙCZ_c = \sqrt{\frac{z}{y}} = \sqrt{\frac{R + j\omega L}{G + j\omega C}}ZcтАЛ=yzтАЛтАЛ=G+j╧ЙCR+j╧ЙLтАЛтАЛ тАФ General form

Zc=LCZ_c = \sqrt{\frac{L}{C}}ZcтАЛ=CLтАЛтАЛ тАФ Lossless transmission line approximation

тЪЩя╕П Working Principle

When a voltage surge propagates along a transmission line, it encounters the distributed parameters of the line. The surge impedance determines the relationship between the voltage and current waves during the propagation of a traveling wave. If a line is terminated with an impedance equal to its surge impedance, all the energy of the traveling wave is absorbed, preventing reflections.

ЁЯУМ Key Points
  • тЦ╕

    Surge impedance is independent of line length.

  • тЦ╕

    For overhead lines, the typical value of surge impedance is approximately 400 ╬й.\Omega.╬й.

  • тЦ╕

    For underground cables, the surge impedance is significantly lower, typically 40-60 ╬й\Omega╬йdue to higher shunt capacitance.

  • тЦ╕

    It is also known as the Characteristic Impedance of the line.

тЬЕ Advantages
  • тЦ╕

    Useful in calculating the reflection and refraction coefficients of surges.

  • тЦ╕

    Helps in determining the surge impedance loading (SIL) of the line.

тЭМ Disadvantages / Limitations
  • тЦ╕

    It is not an ohmic resistance; it dissipates no real power in a perfectly lossless line.

  • тЦ╕

    Values vary based on line geometry and conductor configuration.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Coordination of insulation levels in power systems.

  • тЦ╕

    Analysis of transient overvoltages and switching surges.

  • тЦ╕

    Design of line terminations to minimize wave reflection.

ЁЯУД Additional Information
  • тЦ╕

    SIL (Surge Impedance Loading) is defined as P=V2ZcP = \frac{V┬▓}{Z_c}P=ZcтАЛV2тАЛ, which is the power delivered to a load equal to the surge impedance.

  • тЦ╕

    Option B (Conductance) represents the leakage current path; Option C (Susceptance) is the reactive part of admittance; Option D (Admittance) is the reciprocal of impedance.

ЁЯУК Diagram / Illustration
Surge Impedance (Zc)
Z=z/y=L/CZ = \sqrt{z / y} = \sqrt{L / C}Z=z/yтАЛ=L/CтАЛ
Series Impedance (z)Shunt Admittance (y)
тЬЕ

A is correct тАФ Surge impedance is the characteristic impedance of a transmission line, calculated as Z/Y\sqrt{Z/Y}Z/YтАЛ.

Core Concepts Used
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Distributed Line Parameters Traveling Wave Theory Characteristic Impedance
ЁЯТб EXAM TIP

Remember that ZcZ_cZcтАЛ decreases as capacitance increases; this is why underground cables have much lower surge impedance than overhead lines.

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