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Phase Constant of Compensated Line Formula

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Phase Constant in Compensated Line is defined as the parameter that characterizes the phase relationship between the voltage and current waves along the transmission line. Check FAQs

β' = β \cdot \sqrt{(1 - K se) \cdot (1 - k sh)}

β' - Phase Constant in Compensated Line?β - Phase Constant in Uncompensated Line?K_se - Degree in Series Compensation?k_sh - Degree in Shunt Compensation?

Phase Constant of Compensated Line Example

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Here is how the Phase Constant of Compensated Line equation looks like with Values.

Here is how the Phase Constant of Compensated Line equation looks like with Units.

Here is how the Phase Constant of Compensated Line equation looks like.

1.2969 = 2.9 \cdot \sqrt{(1 - 0.6) \cdot (1 - 0.5)}

1.2969 = 2.9 \cdot \sqrt{(1 - 0.6) \cdot (1 - 0.5)}

1.2969 = 2.9 \cdot \sqrt{(1 - 0.6) \cdot (1 - 0.5)}

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Phase Constant of Compensated Line Solution

Follow our step by step solution on how to calculate Phase Constant of Compensated Line?

FIRST Step Consider the formula

β' = β \cdot \sqrt{(1 - K se) \cdot (1 - k sh)}

Next Step Substitute values of Variables

∴

β' = 2.9 \cdot \sqrt{(1 - 0.6) \cdot (1 - 0.5)}

Next Step Prepare to Evaluate

∴

β' = 2.9 \cdot \sqrt{(1 - 0.6) \cdot (1 - 0.5)}

Next Step Evaluate

∴

β' = 1.29691942694988

LAST Step Rounding Answer

∴

β' = 1.2969

Phase Constant of Compensated Line Formula Elements

Variables

Functions

Phase Constant in Compensated Line

Phase Constant in Compensated Line is defined as the parameter that characterizes the phase relationship between the voltage and current waves along the transmission line.

Symbol: β'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Phase Constant in Compensated Line

Phase Constant in Uncompensated Line

Phase Constant in Uncompensated Line is defined as characterizes that explains the phase relationship between the voltage and current waves along the transmission line.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Phase Constant in Uncompensated Line

Degree in Series Compensation

Degree in Series Compensation is used to modify the reactance of a transmission line, that improving power system stability, increasing power transfer capability, and controlling line voltage.

Symbol: K_se

Measurement: NAUnit: Unitless

Note: Value should be less than 0.7.

Formulas to find Degree in Series Compensation

Degree in Shunt Compensation

Degree in Shunt Compensation is defined as the extent or amount of shunt compensation applied to improve system performance.

Symbol: k_sh

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Degree in Shunt Compensation

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in AC Transmission Line Analysis category

Go Velocity Propagation in Lossless Line

V p = \frac{1}{\sqrt{l \cdot c}}

Go Wavelength Propagation in Lossless Line

λ = \frac{V p}{f}

Go Thevenin's Voltage of Line

V th = \frac{V s}{\cos (θ)}

Go Electrical Length of Line

θ = β' \cdot L

How to Evaluate Phase Constant of Compensated Line?

Phase Constant of Compensated Line evaluator uses Phase Constant in Compensated Line = Phase Constant in Uncompensated Line*sqrt((1-Degree in Series Compensation)*(1-Degree in Shunt Compensation)) to evaluate the Phase Constant in Compensated Line, The Phase Constant of Compensated Line formula is defined as the phase relationship between the voltage and current waves along the transmission line. This phase constant provides insight into how quickly the phase of the voltage or current changes along the transmission line. Phase Constant in Compensated Line is denoted by β' symbol.

How to evaluate Phase Constant of Compensated Line using this online evaluator? To use this online evaluator for Phase Constant of Compensated Line, enter Phase Constant in Uncompensated Line (β), Degree in Series Compensation (K_se) & Degree in Shunt Compensation (k_sh) and hit the calculate button.

FAQs on Phase Constant of Compensated Line

What is the formula to find Phase Constant of Compensated Line?

The formula of Phase Constant of Compensated Line is expressed as Phase Constant in Compensated Line = Phase Constant in Uncompensated Line*sqrt((1-Degree in Series Compensation)*(1-Degree in Shunt Compensation)). Here is an example- 9.52565 = 2.9*sqrt((1-0.6)*(1-0.5)).

How to calculate Phase Constant of Compensated Line?

With Phase Constant in Uncompensated Line (β), Degree in Series Compensation (K_se) & Degree in Shunt Compensation (k_sh) we can find Phase Constant of Compensated Line using the formula - Phase Constant in Compensated Line = Phase Constant in Uncompensated Line*sqrt((1-Degree in Series Compensation)*(1-Degree in Shunt Compensation)). This formula also uses Square Root (sqrt) function(s).

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Phase Constant of Compensated Line Formula

Phase Constant of Compensated Line Example

Phase Constant of Compensated Line Solution

Phase Constant of Compensated Line Formula Elements

Other formulas in AC Transmission Line Analysis category

How to Evaluate Phase Constant of Compensated Line?

FAQs on Phase Constant of Compensated Line

Variable Name