Series Reactance of Capacitors Calculator

✖Line Reactance is defined as the reactive component of impedance associated with a transmission line.ⓘ Line Reactance [X]			+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%

✖Series Reactance in Capacitor is defined as the impedance that the capacitor introduces when connected in series with a transmission line or a circuit.ⓘ Series Reactance of Capacitors [X_c]

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Formula

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Series Reactance of Capacitors

Formula

`"X"_{"c"} = "X"*(1-"K"_{"se"})`

Example

`"1.32Ω"="3.3Ω"*(1-"0.6")`

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Series Reactance of Capacitors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Series Reactance in Capacitor = Line Reactance*(1-Degree in Series Compensation)
X_c = X*(1-K_se)
This formula uses 3 Variables

Variables Used

Series Reactance in Capacitor - (Measured in Ohm) - Series Reactance in Capacitor is defined as the impedance that the capacitor introduces when connected in series with a transmission line or a circuit.
Line Reactance - (Measured in Ohm) - Line Reactance is defined as the reactive component of impedance associated with a 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.

STEP 1: Convert Input(s) to Base Unit

Line Reactance: 3.3 Ohm --> 3.3 Ohm No Conversion Required
Degree in Series Compensation: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_c = X*(1-K_se) --> 3.3*(1-0.6)

Evaluating ... ...

X_c = 1.32

STEP 3: Convert Result to Output's Unit

1.32 Ohm --> No Conversion Required

FINAL ANSWER

1.32 Ohm <-- Series Reactance in Capacitor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » FACTS Devices » Static Synchronous Series Compensator(SSSC) » Series Reactance of Capacitors

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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< 7 Static Synchronous Series Compensator(SSSC) Calculators

Power Flow of Series Capacitor of Compensated Line

Go Power Flow in Compensated Line = (Sending End Voltage*Receiving End Voltage in Compensated Line)/(2*Natural Impedance in Line*sin(Electrical Length of Line/2)-Series Reactance in Capacitor)*sin(Operating Angle in Compensated Line)

Degree of Series Compensation

Go Degree in Series Compensation = Series Reactance in Capacitor/(Natural Impedance in Line*Electrical Length of Line)

Resonance Frequency for Shunt Capacitor Compensation

Go Resonance Frequency of Shunt Capacitor = Operating System Frequency*sqrt(1/(1-Degree in Shunt Compensation))

Electrical Resonance Frequency for Series Capacitor Compensation

Go Resonance Frequency of Series Capacitor = Operating System Frequency*sqrt(1-Degree in Series Compensation)

Power Flow in SSSC

Go Power Flow in SSSC = Maximum Power in UPFC+(Series Voltage of UPFC*Shunt Current of UPFC)/4

Series Reactance of Capacitors

Go Series Reactance in Capacitor = Line Reactance*(1-Degree in Series Compensation)

Rating of SSSC

Go SSSC Rating = Maximum Current in SSSC*Maximum Inductive Reactive Voltage

Series Reactance of Capacitors Formula

Series Reactance in Capacitor = Line Reactance*(1-Degree in Series Compensation)
X_c = X*(1-K_se)

What do you mean by Series Reactance of Capacitors?

Series Reactance of Capacitors is defined as the flow of alternating current, where the capacitive reactance decreases as the frequency of the AC signal increases and at higher frequencies, capacitors become more effective in conducting current. his series reactance of capacitors helps in reducing the overall reactance of the transmission line, enhancing power transfer capabilities, and improving voltage stability.

How to Calculate Series Reactance of Capacitors?

Series Reactance of Capacitors calculator uses Series Reactance in Capacitor = Line Reactance*(1-Degree in Series Compensation) to calculate the Series Reactance in Capacitor, The Series Reactance of Capacitors formula is defined as the measure of how capacitors resist the flow of alternating current, which also helps in reducing the overall reactance of the transmission line, enhancing power transfer capabilities, and improving voltage stability. Series Reactance in Capacitor is denoted by X_c symbol.

How to calculate Series Reactance of Capacitors using this online calculator? To use this online calculator for Series Reactance of Capacitors, enter Line Reactance (X) & Degree in Series Compensation (K_se) and hit the calculate button. Here is how the Series Reactance of Capacitors calculation can be explained with given input values -> 16 = 3.3*(1-0.6).

FAQ

What is Series Reactance of Capacitors?

The Series Reactance of Capacitors formula is defined as the measure of how capacitors resist the flow of alternating current, which also helps in reducing the overall reactance of the transmission line, enhancing power transfer capabilities, and improving voltage stability and is represented as X_c = X*(1-K_se) or Series Reactance in Capacitor = Line Reactance*(1-Degree in Series Compensation). Line Reactance is defined as the reactive component of impedance associated with a 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.

How to calculate Series Reactance of Capacitors?

The Series Reactance of Capacitors formula is defined as the measure of how capacitors resist the flow of alternating current, which also helps in reducing the overall reactance of the transmission line, enhancing power transfer capabilities, and improving voltage stability is calculated using Series Reactance in Capacitor = Line Reactance*(1-Degree in Series Compensation). To calculate Series Reactance of Capacitors, you need Line Reactance (X) & Degree in Series Compensation (K_se). With our tool, you need to enter the respective value for Line Reactance & Degree in Series 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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