Power Transmission Line Conductors Overview

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Questions and Answers

What happens to the capacitance of a transmission line when the spacing between the phases increases?

  • Capacitance increases
  • Capacitance remains the same
  • Capacitance becomes zero
  • Capacitance decreases (correct)

The radius of the conductors in a transmission line has no effect on the capacitance of the line.

False (B)

What is the formula for capacitive reactance?

ZC = -j/(2Ï€fC)

The shunt capacitive admittance of a transmission line is given by the formula ____ × j 2π f.

<p>ω c</p> Signup and view all the answers

Match the following concepts with their corresponding descriptions:

<p>Shunt Admittance = Depends on capacitance and frequency Capacitive Reactance = Reciprocal of shunt admittance Series Resistance = Opposition to the flow of current in a conductor Inductive Reactance = Opposition due to inductance in an AC circuit</p> Signup and view all the answers

What is the inductance of the line for a single-phase Partridge conductor with 20 ft spacing?

<p>0.8285 Ω/mile (A)</p> Signup and view all the answers

The spacing factor for a 20 ft spacing is higher than the inductive reactance at 1 ft spacing.

<p>False (B)</p> Signup and view all the answers

What is the GMR for a Partridge conductor?

<p>0.0217 ft</p> Signup and view all the answers

The capacitive reactance for one mile of a single-phase line is measured in ______.

<p>MΩ.miles</p> Signup and view all the answers

Which conductor type is used in the example for both single-phase and three-phase lines?

<p>ACSR Drake (A), Partridge (D)</p> Signup and view all the answers

Inductive reactance increases with the spacing between conductors.

<p>True (A)</p> Signup and view all the answers

How is the total inductive reactance for a 175-mile three-phase line calculated?

<p>By multiplying the inductive reactance per mile by 175.</p> Signup and view all the answers

Match the following properties to their corresponding values for the Partridge conductor:

<p>GMR = 0.0217 ft Inductive Reactance at 1 ft spacing = 0.465 Ω/mile Spacing Factor at 20 ft = 0.3635 Ω/mile Total Inductance = 0.8285 Ω/mile</p> Signup and view all the answers

What is the series impedance per kilometer of the transmission line?

<p>0.0225 + j 0.655 Ω km (B)</p> Signup and view all the answers

The inductive reactance Xd is defined as the inductive reactance at a certain spacing.

<p>True (A)</p> Signup and view all the answers

What does GMR represent in transmission line calculations?

<p>Geometric Mean Radius</p> Signup and view all the answers

The formula for capacitive reactance, given the values from the table, includes a factor of 2Ï€f and a term for _______.

<p>C</p> Signup and view all the answers

Match the reactance calculation with their corresponding parameters:

<p>Xa = Inductive reactance at spacing of 1 ft Xc = Capacitive reactance in MΩ-mile Xd = Inductive reactance spacing factor Zse = Total series impedance of line</p> Signup and view all the answers

What is the value of the inductive reactance Xa for a single-phase line at 60 Hz with 1 ft spacing?

<p>0.420 Ω/mile (C)</p> Signup and view all the answers

In the context of transmission lines, what does a larger spacing between conductors typically lead to?

<p>Lower inductive reactance</p> Signup and view all the answers

If both GMR and GMD are in feet, Xa represents the inductive reactance at 6 ft spacing.

<p>False (B)</p> Signup and view all the answers

Flashcards

Transmission Line Capacitance

The ability of a transmission line to store electrical energy in an electric field between its conductors.

Transmission Line Conductor Radius

The distance from the center of a conductor in a transmission line to its outer edge.

Shunt Capacitive Admittance

The ability of a transmission line to conduct current due to its capacitance, dependent on frequency.

Shunt Admittance per unit length

The capacitive admittance per unit length of a transmission line, denoted by yC, calculated as ωcj, where ω = 2πf and c is the capacitance per unit length.

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Total Shunt Capacitive Admittance

The total capacitive admittance of the entire transmission line, YC, found by multiplying the admittance per unit length by the line length (d).

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Capacitive Reactance

The opposition that a capacitor presents to alternating current flow. It's the reciprocal of the admittance.

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Transmission Line Parameters

The properties of a transmission line, such as resistance, inductance, capacitance, and admittance, that affect its performance.

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Spacing between conductors

The distance between conductors in a transmission line.

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Inductive Reactance

Opposition to alternating current (AC) flow due to the magnetic field generated by the current.

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Capacitive Reactance

Opposition to alternating current (AC) flow due to the electric field between conductors.

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Single-Phase Line

Electrical power transmission system with only one conductor carrying the current.

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Three-Phase Line

Electrical power transmission system using three conductors, carrying currents that are offset in time to maximize power transmission.

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GMR (Geometric Mean Radius)

A calculated radius that represents the effective radius of a conductor bundle for calculating inductance in long power lines.

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Line Spacing

Distance between conductors in a transmission line.

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ACSR Drake

Specific type of Aluminum Conductor Steel Reinforced (ACSR) used in electrical transmission.

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Charging Current

Current flowing through the transmission line capacitance in its operation due to AC fields.

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Charging Reactive Power

Reactive power component due to the capacitive charging current within a transmission line.

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Line Length

Distance between the starting and ending points of a transmission line.

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Series Impedance (zse)

The total impedance of a transmission line component, incorporating resistance (r) and inductive reactance (jx).

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Inductive Reactance (jx)

The component of impedance due to the inductance of the transmission line, calculated as 2Ï€fL.

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Total Series Impedance (Zse)

The calculated series impedance for the entire transmission line, found by multiplying the impedance per kilometer by the total length.

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GMR (Geometric Mean Radius)

A representation of the equivalent radius of a conductor bundle, crucial for calculating inductance.

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GMD (Geometric Mean Distance)

A representation of the average distance between conductors, important in calculations for capacitance and inductance.

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Inductive Reactance Spacing Factor (Xd)

A factor scaling the inductive reactance based on the spacing between conductors.

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Capacitive Reactance(XC)

Represents opposition to alternating current flow due to capacitance between the conductors.

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ACSR (Aluminum Conductor Steel Reinforced)

A specific type of conductor used in high-voltage transmission lines.

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Conductor Spacing

The distance between conductors, a key factor influencing the inductive and capacitive reactances of the transmission line.

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Study Notes

Power Transmission Line Conductors

  • Different conductor types are used in power transmission lines, including:
    • All Aluminium Conductor (AAC)
    • All Aluminium Alloy Conductor (AAAC)
    • Aluminium Conductor, Steel Reinforced (ACSR)
    • Aluminium Conductor, Alloy Reinforced (ACAR)
  • Conductor selection is a compromise balancing several factors:
    • High tensile strength is needed to withstand high breaking loads and long spans between towers.
    • Low resistivity to reduce power losses and voltage drop.
    • Low cost for installation and maintenance and a long life.
    • Low corrosion resistance.
    • Low skin effect and corona losses to minimize any extra losses.

Conductor Materials (Copper, Aluminum, Steel)

  • Copper:
    • High conductivity, making it suitable for high current density.
    • Strongest compared to other metals, making it ideal for withstanding wind pressure and sag.
    • Homogeneous with consistent properties throughout.
    • Durable.
  • Aluminum:
    • Second highest conductivity, but at a lower price.
    • Lighter in weight, which reduces sag and the need for stronger supports.
    • Lower tensile strength than copper, needing reinforcement
    • More prone to damage from short circuits or corrosion.
  • Steel and Steel-Cored Aluminum:
    • High tensile strength, suitable for reinforcing conductors that carry high tension.
    • Lowest conductivity, used primarily for supporting conductors to increase overall tensile strength, not for carrying current directly.
    • Prone to rust and reduce efficiency when exposed to damp atmospheres.

Types of Conductors in Power Transmission

  • AAC: All Aluminum Conductor. Mostly used for short spans in LV distribution systems. Relatively poor strength.
  • AAAC: All Aluminum Alloy Conductor. Higher strength and conductivity used for distribution lines.
  • ACSR: Aluminum Conductor, Steel Reinforced. Commonly used high-voltage transmission lines, balancing strength and weight. Stronger than AAC.
  • ACAR: Aluminum Conductor, Alloy Reinforced. Higher strength than ACSR, often used in certain applications.

Bundling of Conductors

  • Bundling conductors, especially in high-voltage, high-capacity lines, is used for several reasons:
    • Increases heat dissipation because of larger surface area.
    • Reduces wind loading.
    • Reduces inductance.
    • Increases current-carrying capacity due to reduced skin effect.

Inductance of a Transmission Line

  • The inductance of a transmission line depends on spacing and conductor size.
    • Greater spacing means greater inductance.
    • Greater conductor radius means lower inductance.

Capacitance of a transmission Line

  • The capacitance of a transmission line depends on spacing and conductor size.

    • Greater spacing means lower capacitance.
    • Greater conductor radius means higher capacitance.
  • Calculating total capacitance and inductance is crucial when designing a power transmission system.

Inductive Reactance of A Line

  • The inductive reactance of a line is directly proportional to the frequency and length of the line.
  • The greater the frequency or length of the line, the greater the inductive reactance.

Example Calculations

  • Example calculations are provided, demonstrating how to calculate series resistance, inductance, capacitance, impedance, and admittance.

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