Capacitive Reactance of TCSC Calculator

✖Capacitive Reactive is defined as the capacitor presents to the flow of alternating current .ⓘ Capacitive Reactive [X_C]			+10% -10%
✖TCR Reactance is defined as the effect of the thyristor-controlled switching mechanism on the reactor's impedance.ⓘ TCR Reactance [X_tcr]			+10% -10%

✖Capacitive Reactive in TCSC is a type of FACTS device designed to dynamically control the reactance of a transmission line influencing the power flow and voltage profile in the system.ⓘ Capacitive Reactance of TCSC [X_tcsc]

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Formula

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Capacitive Reactance of TCSC

Formula

`"X"_{"tcsc"} = "X"_{"C"}/(1-"X"_{"C"}/"X"_{"tcr"})`

Example

`"4.311258F"="3.5Ω"/(1-"3.5Ω"/"18.6Ω")`

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Capacitive Reactance of TCSC Solution

STEP 0: Pre-Calculation Summary

Formula Used

Capacitive Reactive in TCSC = Capacitive Reactive/(1-Capacitive Reactive/TCR Reactance)
X_tcsc = X_C/(1-X_C/X_tcr)
This formula uses 3 Variables

Variables Used

Capacitive Reactive in TCSC - (Measured in Farad) - Capacitive Reactive in TCSC is a type of FACTS device designed to dynamically control the reactance of a transmission line influencing the power flow and voltage profile in the system.
Capacitive Reactive - (Measured in Ohm) - Capacitive Reactive is defined as the capacitor presents to the flow of alternating current .
TCR Reactance - (Measured in Ohm) - TCR Reactance is defined as the effect of the thyristor-controlled switching mechanism on the reactor's impedance.

STEP 1: Convert Input(s) to Base Unit

Capacitive Reactive: 3.5 Ohm --> 3.5 Ohm No Conversion Required
TCR Reactance: 18.6 Ohm --> 18.6 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_tcsc = X_C/(1-X_C/X_tcr) --> 3.5/(1-3.5/18.6)

Evaluating ... ...

X_tcsc = 4.3112582781457

STEP 3: Convert Result to Output's Unit

4.3112582781457 Farad --> No Conversion Required

FINAL ANSWER

4.3112582781457 ≈ 4.311258 Farad <-- Capacitive Reactive in TCSC

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » FACTS Devices » Thyristor Controlled Series Capacitor(TCSC) » Capacitive Reactance of TCSC

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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 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

Capacitive Reactance of TCSC Formula

Capacitive Reactive in TCSC = Capacitive Reactive/(1-Capacitive Reactive/TCR Reactance)
X_tcsc = X_C/(1-X_C/X_tcr)

What is Capacitive Reactance of TCSC?

Capacitive Reactance of TCSC is defined as the adjusting and controlling of the firing angle of the thyristors. The TCSC is a type of Flexible AC Transmission System (FACTS) device that dynamically controls the reactance of a transmission line, The capacitive reactance injected by the TCSC can be expressed in terms of the line parameters and the firing angle of the thyristors.

How to Calculate Capacitive Reactance of TCSC?

Capacitive Reactance of TCSC calculator uses Capacitive Reactive in TCSC = Capacitive Reactive/(1-Capacitive Reactive/TCR Reactance) to calculate the Capacitive Reactive in TCSC, The Capacitive Reactance of TCSC formula is defined as the magnitude that depends on the magnitudes of the sending and receiving end voltages, the susceptance of the transmission line, and the sine of the firing angle. Capacitive Reactive in TCSC is denoted by X_tcsc symbol.

How to calculate Capacitive Reactance of TCSC using this online calculator? To use this online calculator for Capacitive Reactance of TCSC, enter Capacitive Reactive (X_C) & TCR Reactance (X_tcr) and hit the calculate button. Here is how the Capacitive Reactance of TCSC calculation can be explained with given input values -> 4.311258 = 3.5/(1-3.5/18.6).

FAQ

What is Capacitive Reactance of TCSC?

The Capacitive Reactance of TCSC formula is defined as the magnitude that depends on the magnitudes of the sending and receiving end voltages, the susceptance of the transmission line, and the sine of the firing angle and is represented as X_tcsc = X_C/(1-X_C/X_tcr) or Capacitive Reactive in TCSC = Capacitive Reactive/(1-Capacitive Reactive/TCR Reactance). Capacitive Reactive is defined as the capacitor presents to the flow of alternating current & TCR Reactance is defined as the effect of the thyristor-controlled switching mechanism on the reactor's impedance.

How to calculate Capacitive Reactance of TCSC?

The Capacitive Reactance of TCSC formula is defined as the magnitude that depends on the magnitudes of the sending and receiving end voltages, the susceptance of the transmission line, and the sine of the firing angle is calculated using Capacitive Reactive in TCSC = Capacitive Reactive/(1-Capacitive Reactive/TCR Reactance). To calculate Capacitive Reactance of TCSC, you need Capacitive Reactive (X_C) & TCR Reactance (X_tcr). With our tool, you need to enter the respective value for Capacitive Reactive & TCR Reactance 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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