Effective Reactance of GCSC Calculator

✖Capacitive Reactive is defined as the capacitor presents to the flow of alternating current .ⓘ Capacitive Reactive [X_C]			+10% -10%
✖Hold off Angle in GCSC is defined as the timing of the GCSC's activation and deactivation within each AC cycle.ⓘ Hold off Angle in GCSC [δ_ha]			+10% -10%

✖Effective Reactance in GCSC (GTO Controlled Series Capacitor) is defined as the type of Flexible AC Transmission System device used for dynamic control of the power system.ⓘ Effective Reactance of GCSC [X_gcsc]

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Formula

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Effective Reactance of GCSC

Formula

`"X"_{"gcsc"} = "X"_{"C"}/pi*("δ"_{"ha"}-sin("δ"_{"ha"}))`

Example

`"419.9998Ω"="3.5Ω"/pi*("60cyc"-sin("60cyc"))`

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Effective Reactance of GCSC Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Reactance in GCSC = Capacitive Reactive/pi*(Hold off Angle in GCSC-sin(Hold off Angle in GCSC))
X_gcsc = X_C/pi*(δ_ha-sin(δ_ha))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Effective Reactance in GCSC - (Measured in Ohm) - Effective Reactance in GCSC (GTO Controlled Series Capacitor) is defined as the type of Flexible AC Transmission System device used for dynamic control of the power system.
Capacitive Reactive - (Measured in Ohm) - Capacitive Reactive is defined as the capacitor presents to the flow of alternating current .
Hold off Angle in GCSC - (Measured in Radian) - Hold off Angle in GCSC is defined as the timing of the GCSC's activation and deactivation within each AC cycle.

STEP 1: Convert Input(s) to Base Unit

Capacitive Reactive: 3.5 Ohm --> 3.5 Ohm No Conversion Required
Hold off Angle in GCSC: 60 Cycle --> 376.884422110553 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_gcsc = X_C/pi*(δ_ha-sin(δ_ha)) --> 3.5/pi*(376.884422110553-sin(376.884422110553))

Evaluating ... ...

X_gcsc = 419.999774592667

STEP 3: Convert Result to Output's Unit

419.999774592667 Ohm --> No Conversion Required

FINAL ANSWER

419.999774592667 ≈ 419.9998 Ohm <-- Effective Reactance in GCSC

(Calculation completed in 00.020 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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< 4 Thyristor Controlled Series Capacitor(TCSC) Calculators

Effective Reactance of GCSC

Go Effective Reactance in GCSC = Capacitive Reactive/pi*(Hold off Angle in GCSC-sin(Hold off Angle in GCSC))

Voltage of Thyristor Controlled Series Capacitor

Go TCSC Voltage = Line Current in TCSC*Line Reactance in TCSC-Voltage Drop Across Line in TCSC

Capacitive Reactance of TCSC

Go Capacitive Reactive in TCSC = Capacitive Reactive/(1-Capacitive Reactive/TCR Reactance)

TCR Current

Go TCR Current in SVC = TCR Susceptance in SVC*Conducting Angle in TCR*TCR Voltage in SVC

Effective Reactance of GCSC Formula

Effective Reactance in GCSC = Capacitive Reactive/pi*(Hold off Angle in GCSC-sin(Hold off Angle in GCSC))
X_gcsc = X_C/pi*(δ_ha-sin(δ_ha))

What is the Effective Reactance of GCSC?

Effective Reactance of GCSC is defined as the device used to control the power flow and voltage stability in a power system. The effective reactance is modified by the presence and control action of the GCSC. Generally, the effective reactance can be expressed as a combination of the original reactance of the transmission line and the influence of the GCSC.

How to Calculate Effective Reactance of GCSC?

Effective Reactance of GCSC calculator uses Effective Reactance in GCSC = Capacitive Reactive/pi*(Hold off Angle in GCSC-sin(Hold off Angle in GCSC)) to calculate the Effective Reactance in GCSC, The Effective Reactance of GCSC formula is defined as the device used to control the power flow and voltage stability in a power system. Effective Reactance in GCSC is denoted by X_gcsc symbol.

How to calculate Effective Reactance of GCSC using this online calculator? To use this online calculator for Effective Reactance of GCSC, enter Capacitive Reactive (X_C) & Hold off Angle in GCSC (δ_ha) and hit the calculate button. Here is how the Effective Reactance of GCSC calculation can be explained with given input values -> 419.9998 = 3.5/pi*(376.884422110553-sin(376.884422110553)).

FAQ

What is Effective Reactance of GCSC?

The Effective Reactance of GCSC formula is defined as the device used to control the power flow and voltage stability in a power system and is represented as X_gcsc = X_C/pi*(δ_ha-sin(δ_ha)) or Effective Reactance in GCSC = Capacitive Reactive/pi*(Hold off Angle in GCSC-sin(Hold off Angle in GCSC)). Capacitive Reactive is defined as the capacitor presents to the flow of alternating current & Hold off Angle in GCSC is defined as the timing of the GCSC's activation and deactivation within each AC cycle.

How to calculate Effective Reactance of GCSC?

The Effective Reactance of GCSC formula is defined as the device used to control the power flow and voltage stability in a power system is calculated using Effective Reactance in GCSC = Capacitive Reactive/pi*(Hold off Angle in GCSC-sin(Hold off Angle in GCSC)). To calculate Effective Reactance of GCSC, you need Capacitive Reactive (X_C) & Hold off Angle in GCSC (δ_ha). With our tool, you need to enter the respective value for Capacitive Reactive & Hold off Angle in GCSC 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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