Phase Constant of Compensated Line Calculator

✖Phase Constant in Uncompensated Line is defined as characterizes that explains the phase relationship between the voltage and current waves along the transmission line.ⓘ Phase Constant in Uncompensated Line [β]			+10% -10%
✖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.ⓘ Degree in Series Compensation [K_se]			+10% -10%
✖Degree in Shunt Compensation is defined as the extent or amount of shunt compensation applied to improve system performance.ⓘ Degree in Shunt Compensation [k_sh]			+10% -10%

✖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 of Compensated Line [β']

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Formula

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Phase Constant of Compensated Line

Formula

`"β'" = "β"*sqrt((1-"K"_{"se"})*(1-"k"_{"sh"}))`

Example

`"1.296919"="2.9"*sqrt((1-"0.6")*(1-"0.5"))`

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Phase Constant of Compensated Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Constant in Compensated Line = Phase Constant in Uncompensated Line*sqrt((1-Degree in Series Compensation)*(1-Degree in Shunt Compensation))
β' = β*sqrt((1-K_se)*(1-k_sh))
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Phase Constant in Uncompensated Line: 2.9 --> No Conversion Required
Degree in Series Compensation: 0.6 --> No Conversion Required
Degree in Shunt Compensation: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β' = β*sqrt((1-K_se)*(1-k_sh)) --> 2.9*sqrt((1-0.6)*(1-0.5))

Evaluating ... ...

β' = 1.29691942694988

STEP 3: Convert Result to Output's Unit

1.29691942694988 --> No Conversion Required

FINAL ANSWER

1.29691942694988 ≈ 1.296919 <-- Phase Constant in Compensated Line

(Calculation completed in 00.004 seconds)

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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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

Phase Constant of Compensated Line Formula

Phase Constant in Compensated Line = Phase Constant in Uncompensated Line*sqrt((1-Degree in Series Compensation)*(1-Degree in Shunt Compensation))
β' = β*sqrt((1-K_se)*(1-k_sh))

What is the Phase Constant of Compensated Line?

Phase Constant of Compensated Line is defined as the parameter that characterizes the phase relationship between the voltage and current waves along the transmission line. In the context of transmission lines with series compensation, such as the addition of capacitors, the phase constant becomes an important factor in understanding the behavior of the line.

How to Calculate Phase Constant of Compensated Line?

Phase Constant of Compensated Line calculator uses Phase Constant in Compensated Line = Phase Constant in Uncompensated Line*sqrt((1-Degree in Series Compensation)*(1-Degree in Shunt Compensation)) to calculate 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 calculate Phase Constant of Compensated Line using this online calculator? To use this online calculator 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. Here is how the Phase Constant of Compensated Line calculation can be explained with given input values -> 9.52565 = 2.9*sqrt((1-0.6)*(1-0.5)).

FAQ

What is Phase Constant of 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 and is represented as β' = β*sqrt((1-K_se)*(1-k_sh)) or Phase Constant in Compensated Line = Phase Constant in Uncompensated Line*sqrt((1-Degree in Series Compensation)*(1-Degree in Shunt Compensation)). Phase Constant in Uncompensated Line is defined as characterizes that explains the phase relationship between the voltage and current waves along the transmission line, 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 & Degree in Shunt Compensation is defined as the extent or amount of shunt compensation applied to improve system performance.

How to calculate Phase Constant of 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 is calculated using Phase Constant in Compensated Line = Phase Constant in Uncompensated Line*sqrt((1-Degree in Series Compensation)*(1-Degree in Shunt Compensation)). To calculate Phase Constant of Compensated Line, you need Phase Constant in Uncompensated Line (β), Degree in Series Compensation (K_se) & Degree in Shunt Compensation (k_sh). With our tool, you need to enter the respective value for Phase Constant in Uncompensated Line, Degree in Series Compensation & Degree in Shunt Compensation 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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