Phase Constant of Line in SVC Calculator

✖Lossless Line Frequency is defined as the frequency of a signal on a transmission line is inversely proportional to the wavelength and directly proportional to the velocity of propagation.ⓘ Lossless Line Frequency [f]			+10% -10%
✖Line Length is used to calculate the length of the SVC line.ⓘ Line Length [L]			+10% -10%
✖Series Capacitance in the Line is defined as the capacitance that is distributed along the length of the line and is connected in series with the conductors.ⓘ Series Capacitance in the Line [c]			+10% -10%

✖Phase Constant of SVC is defined as the timing or phase relationship between the voltage control signal generated by the SVC and the system voltage.ⓘ Phase Constant of Line in SVC [β_svc]

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Formula

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Phase Constant of Line in SVC

Formula

`"β"_{"svc"} = 2*pi*"f"*sqrt("L"*"c")`

Example

`"196.1924"=2*pi*"50Hz"*sqrt("0.3m"*"1.3F")`

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Phase Constant of Line in SVC Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Constant of SVC = 2*pi*Lossless Line Frequency*sqrt(Line Length*Series Capacitance in the Line)
β_svc = 2*pi*f*sqrt(L*c)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 of SVC - Phase Constant of SVC is defined as the timing or phase relationship between the voltage control signal generated by the SVC and the system voltage.
Lossless Line Frequency - (Measured in Hertz) - Lossless Line Frequency is defined as the frequency of a signal on a transmission line is inversely proportional to the wavelength and directly proportional to the velocity of propagation.
Line Length - (Measured in Meter) - Line Length is used to calculate the length of the SVC line.
Series Capacitance in the Line - (Measured in Farad) - Series Capacitance in the Line is defined as the capacitance that is distributed along the length of the line and is connected in series with the conductors.

STEP 1: Convert Input(s) to Base Unit

Lossless Line Frequency: 50 Hertz --> 50 Hertz No Conversion Required
Line Length: 0.3 Meter --> 0.3 Meter No Conversion Required
Series Capacitance in the Line: 1.3 Farad --> 1.3 Farad No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β_svc = 2*pi*f*sqrt(L*c) --> 2*pi*50*sqrt(0.3*1.3)

Evaluating ... ...

β_svc = 196.192398334514

STEP 3: Convert Result to Output's Unit

196.192398334514 --> No Conversion Required

FINAL ANSWER

196.192398334514 ≈ 196.1924 <-- Phase Constant of SVC

(Calculation completed in 00.004 seconds)

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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Verified by Aman Dhussawat

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

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< 4 Static Var Compensator(SVC) Calculators

Total Harmonic Distortion Factor

Go Total Harmonic Distortion Factor = 1/(Input Voltage in SVC)*sqrt(sum(x,2,Highest Order Harmonic,RMS Voltage in SVC^2))

Phase Constant of Line in SVC

Go Phase Constant of SVC = 2*pi*Lossless Line Frequency*sqrt(Line Length*Series Capacitance in the Line)

Steady State Change of SVC Voltage

Go Steady State Change in SVC Voltage = SVC Static Gain/(SVC Static Gain+SVC Gain)*SVC Reference Voltage

Voltage Distortion Factor in Single Tuned Filter

Go Voltage Distortion Factor in Single Tuned Filter = RMS Voltage in SVC/Input Voltage in SVC

Phase Constant of Line in SVC Formula

Phase Constant of SVC = 2*pi*Lossless Line Frequency*sqrt(Line Length*Series Capacitance in the Line)
β_svc = 2*pi*f*sqrt(L*c)

What is Phase Constant of Line in SVC?

The phase constant of a transmission line in the context of a Static Var Compensator (SVC) typically refers to the parameter associated with the voltage control function provided by the SVC. The SVC is a power electronics-based device used in power systems for reactive power compensation and voltage control.

How to Calculate Phase Constant of Line in SVC?

Phase Constant of Line in SVC calculator uses Phase Constant of SVC = 2*pi*Lossless Line Frequency*sqrt(Line Length*Series Capacitance in the Line) to calculate the Phase Constant of SVC, The Phase Constant of Line in SVC formula is defined as the parameter associated with the voltage control function provided by the SVC. Phase Constant of SVC is denoted by β_svc symbol.

How to calculate Phase Constant of Line in SVC using this online calculator? To use this online calculator for Phase Constant of Line in SVC, enter Lossless Line Frequency (f), Line Length (L) & Series Capacitance in the Line (c) and hit the calculate button. Here is how the Phase Constant of Line in SVC calculation can be explained with given input values -> 196.1924 = 2*pi*50*sqrt(0.3*1.3).

FAQ

What is Phase Constant of Line in SVC?

The Phase Constant of Line in SVC formula is defined as the parameter associated with the voltage control function provided by the SVC and is represented as β_svc = 2*pi*f*sqrt(L*c) or Phase Constant of SVC = 2*pi*Lossless Line Frequency*sqrt(Line Length*Series Capacitance in the Line). Lossless Line Frequency is defined as the frequency of a signal on a transmission line is inversely proportional to the wavelength and directly proportional to the velocity of propagation, Line Length is used to calculate the length of the SVC line & Series Capacitance in the Line is defined as the capacitance that is distributed along the length of the line and is connected in series with the conductors.

How to calculate Phase Constant of Line in SVC?

The Phase Constant of Line in SVC formula is defined as the parameter associated with the voltage control function provided by the SVC is calculated using Phase Constant of SVC = 2*pi*Lossless Line Frequency*sqrt(Line Length*Series Capacitance in the Line). To calculate Phase Constant of Line in SVC, you need Lossless Line Frequency (f), Line Length (L) & Series Capacitance in the Line (c). With our tool, you need to enter the respective value for Lossless Line Frequency, Line Length & Series Capacitance in the Line 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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