Electrical Length of Line Calculator

✖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.ⓘ Phase Constant in Compensated Line [β']			+10% -10%
✖Line Length is used to calculate the length of the SVC line.ⓘ Line Length [L]			+10% -10%

✖Electrical Length of Line is defined as the effective length of a transmission line as seen by the device.ⓘ Electrical Length of Line [θ]

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Formula

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Electrical Length of Line

Formula

`"θ" = "β'"*"L"`

Example

`"20.62648°"="1.2"*"0.3m"`

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Electrical Length of Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electrical Length of Line = Phase Constant in Compensated Line*Line Length
θ = β'*L
This formula uses 3 Variables

Variables Used

Electrical Length of Line - (Measured in Radian) - Electrical Length of Line is defined as the effective length of a transmission line as seen by the device.
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.
Line Length - (Measured in Meter) - Line Length is used to calculate the length of the SVC line.

STEP 1: Convert Input(s) to Base Unit

Phase Constant in Compensated Line: 1.2 --> No Conversion Required
Line Length: 0.3 Meter --> 0.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = β'*L --> 1.2*0.3

Evaluating ... ...

θ = 0.36

STEP 3: Convert Result to Output's Unit

0.36 Radian -->20.6264806247135 Degree (Check conversion here)

FINAL ANSWER

20.6264806247135 ≈ 20.62648 Degree <-- Electrical Length of Line

(Calculation completed in 00.020 seconds)

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has created this Calculator and 50+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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< 8 AC Transmission Line Analysis Calculators

Phase Constant of Compensated Line

Go Phase Constant in Compensated Line = Phase Constant in Uncompensated Line*sqrt((1-Degree in Series Compensation)*(1-Degree in Shunt Compensation))

Surge Impedance of Compensated Line

Go Surge Impedance in Compensated Line = Natural Impedance in Line*sqrt((1-Degree in Series Compensation)/(1-Degree in Shunt Compensation))

Velocity Propagation in Lossless Line

Go Velocity Propagation in Lossless Line = 1/sqrt(Series Inductance in Line*Series Capacitance in the Line)

Thevenin's Voltage of Line

Go Thevenin's Voltage of Line = Sending End Voltage/cos(Electrical Length of Line)

Wavelength Propagation in Lossless Line

Go Wavelength Propagation in Lossless Line = Velocity Propagation in Lossless Line/Lossless Line Frequency

Source Current in Ideal Compensator

Go Source Current in Ideal Compensator = Load Current in Ideal Compensator-Compensator Current

Electrical Length of Line

Go Electrical Length of Line = Phase Constant in Compensated Line*Line Length

Effective Conductance of Load

Go Effective Conductance in Load = Real Power of Load/RMS Voltage in SVC^2

Electrical Length of Line Formula

Electrical Length of Line = Phase Constant in Compensated Line*Line Length
θ = β'*L

What is Electrical Length of Line?

The electrical length of a transmission line is a measure of the distance that an electrical wave travels along the line compared to the wavelength of the signal. It is expressed as a fraction or percentage of the wavelength.

How to Calculate Electrical Length of Line?

Electrical Length of Line calculator uses Electrical Length of Line = Phase Constant in Compensated Line*Line Length to calculate the Electrical Length of Line, The Electrical Length of Line formula is defined as the measure of the distance that an electrical wave travels along the line compared to the wavelength of the signal. Electrical Length of Line is denoted by θ symbol.

How to calculate Electrical Length of Line using this online calculator? To use this online calculator for Electrical Length of Line, enter Phase Constant in Compensated Line (β') & Line Length (L) and hit the calculate button. Here is how the Electrical Length of Line calculation can be explained with given input values -> 19539.26 = 1.2*0.3.

FAQ

What is Electrical Length of Line?

The Electrical Length of Line formula is defined as the measure of the distance that an electrical wave travels along the line compared to the wavelength of the signal and is represented as θ = β'*L or Electrical Length of Line = Phase Constant in Compensated Line*Line Length. 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 & Line Length is used to calculate the length of the SVC line.

How to calculate Electrical Length of Line?

The Electrical Length of Line formula is defined as the measure of the distance that an electrical wave travels along the line compared to the wavelength of the signal is calculated using Electrical Length of Line = Phase Constant in Compensated Line*Line Length. To calculate Electrical Length of Line, you need Phase Constant in Compensated Line (β') & Line Length (L). With our tool, you need to enter the respective value for Phase Constant in Compensated Line & Line Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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