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Effective Reactance of GCSC Formula

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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. Check FAQs

X gcsc = \frac{X C}{π} \cdot (δ ha - \sin (δ ha))

X_gcsc - Effective Reactance in GCSC?X_C - Capacitive Reactive?δ_ha - Hold off Angle in GCSC?π - Archimedes' constant?

Effective Reactance of GCSC Example

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Here is how the Effective Reactance of GCSC equation looks like with Values.

Here is how the Effective Reactance of GCSC equation looks like with Units.

Here is how the Effective Reactance of GCSC equation looks like.

419.9998 = \frac{3.5}{3.1416} \cdot (60 - \sin (60))

419.9998Ω = \frac{3.5Ω}{3.1416} \cdot (60cyc - \sin (60cyc))

419.9998 = \frac{3.5}{3.1416} \cdot (60 - \sin (60))

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Effective Reactance of GCSC Solution

Follow our step by step solution on how to calculate Effective Reactance of GCSC?

FIRST Step Consider the formula

X gcsc = \frac{X C}{π} \cdot (δ ha - \sin (δ ha))

Next Step Substitute values of Variables

∴

X gcsc = \frac{3.5Ω}{π} \cdot (60cyc - \sin (60cyc))

Next Step Substitute values of Constants

∴

X gcsc = \frac{3.5Ω}{3.1416} \cdot (60cyc - \sin (60cyc))

Next Step Convert Units

∴

X gcsc = \frac{3.5Ω}{3.1416} \cdot (376.8844rad - \sin (376.8844rad))

Next Step Prepare to Evaluate

∴

X gcsc = \frac{3.5}{3.1416} \cdot (376.8844 - \sin (376.8844))

Next Step Evaluate

∴

X gcsc = 419.999774592667Ω

LAST Step Rounding Answer

∴

X gcsc = 419.9998Ω

Effective Reactance of GCSC Formula Elements

Variables

Constants

Functions

Effective Reactance in GCSC

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.

Symbol: X_gcsc

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Effective Reactance in GCSC

Capacitive Reactive

Capacitive Reactive is defined as the capacitor presents to the flow of alternating current .

Symbol: X_C

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Capacitive Reactive

Hold off Angle in GCSC

Hold off Angle in GCSC is defined as the timing of the GCSC's activation and deactivation within each AC cycle.

Symbol: δ_ha

Measurement: AngleUnit: cyc

Note: Value should be greater than 0.

Formulas to find Hold off Angle in GCSC

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

Other formulas in Thyristor Controlled Series Capacitor(TCSC) category

Go TCR Current

I tcr = B tcr \cdot σ tcr \cdot V tcr

Go Voltage of Thyristor Controlled Series Capacitor

V tcsc = I line \cdot X line - V dl

Go Capacitive Reactance of TCSC

X tcsc = \frac{X C}{1 - \frac{X C}{X tcr}}

How to Evaluate Effective Reactance of GCSC?

Effective Reactance of GCSC evaluator uses Effective Reactance in GCSC = Capacitive Reactive/pi*(Hold off Angle in GCSC-sin(Hold off Angle in GCSC)) to evaluate 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 evaluate Effective Reactance of GCSC using this online evaluator? To use this online evaluator for Effective Reactance of GCSC, enter Capacitive Reactive (X_C) & Hold off Angle in GCSC (δ_ha) and hit the calculate button.

FAQs on Effective Reactance of GCSC

What is the formula to find Effective Reactance of GCSC?

The formula of Effective Reactance of GCSC is expressed as Effective Reactance in GCSC = Capacitive Reactive/pi*(Hold off Angle in GCSC-sin(Hold off Angle in GCSC)). Here is an example- 419.9998 = 3.5/pi*(376.884422110553-sin(376.884422110553)).

How to calculate Effective Reactance of GCSC?

With Capacitive Reactive (X_C) & Hold off Angle in GCSC (δ_ha) we can find Effective Reactance of GCSC using the formula - Effective Reactance in GCSC = Capacitive Reactive/pi*(Hold off Angle in GCSC-sin(Hold off Angle in GCSC)). This formula also uses Archimedes' constant and Sine function(s).

Can the Effective Reactance of GCSC be negative?

No, the Effective Reactance of GCSC, measured in Electric Resistance cannot be negative.

Which unit is used to measure Effective Reactance of GCSC?

Effective Reactance of GCSC is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Effective Reactance of GCSC can be measured.

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Effective Reactance of GCSC Formula

Effective Reactance of GCSC Example

Effective Reactance of GCSC Solution

Effective Reactance of GCSC Formula Elements

Other formulas in Thyristor Controlled Series Capacitor(TCSC) category

How to Evaluate Effective Reactance of GCSC?

FAQs on Effective Reactance of GCSC

Variable Name