Degree of Series Compensation Calculator

✖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 in Capacitor [X_c]			+10% -10%
✖Natural Impedance in Line is defined as the intrinsic impedance of the line when it is not loaded or terminated by external devices. It is also known as the characteristic impedance of the line.ⓘ Natural Impedance in Line [Z_n]			+10% -10%
✖Electrical Length of Line is defined as the effective length of a transmission line as seen by the device.ⓘ Electrical Length of Line [θ]			+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 of Series Compensation [K_se]

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Formula

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Degree of Series Compensation

Formula

`"K"_{"se"} = "X"_{"c"}/("Z"_{"n"}*"θ")`

Example

`"0.630254"="1.32Ω"/("6Ω"*"20°")`

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Degree of Series Compensation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Degree in Series Compensation = Series Reactance in Capacitor/(Natural Impedance in Line*Electrical Length of Line)
K_se = X_c/(Z_n*θ)
This formula uses 4 Variables

Variables Used

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.
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.
Natural Impedance in Line - (Measured in Ohm) - Natural Impedance in Line is defined as the intrinsic impedance of the line when it is not loaded or terminated by external devices. It is also known as the characteristic impedance of the line.
Electrical Length of Line - (Measured in Radian) - Electrical Length of Line is defined as the effective length of a transmission line as seen by the device.

STEP 1: Convert Input(s) to Base Unit

Series Reactance in Capacitor: 1.32 Ohm --> 1.32 Ohm No Conversion Required
Natural Impedance in Line: 6 Ohm --> 6 Ohm No Conversion Required
Electrical Length of Line: 20 Degree --> 0.3490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_se = X_c/(Z_n*θ) --> 1.32/(6*0.3490658503988)

Evaluating ... ...

K_se = 0.630253574644025

STEP 3: Convert Result to Output's Unit

0.630253574644025 --> No Conversion Required

FINAL ANSWER

0.630253574644025 ≈ 0.630254 <-- Degree in Series Compensation

(Calculation completed in 00.004 seconds)

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

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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

Degree of Series Compensation Formula

Degree in Series Compensation = Series Reactance in Capacitor/(Natural Impedance in Line*Electrical Length of Line)
K_se = X_c/(Z_n*θ)

What do you mean by Series Compensation of a Capacitor?

Series Compensation of a Capacitor is defined as the connection of a capacitor in series with a transmission line to modify its electrical characteristics. This technique is basically used in power systems to improve the performance of transmission lines, particularly for enhancing the power transfer capability and voltage stability.

How to Calculate Degree of Series Compensation?

Degree of Series Compensation calculator uses Degree in Series Compensation = Series Reactance in Capacitor/(Natural Impedance in Line*Electrical Length of Line) to calculate the Degree in Series Compensation, The Degree of Series Compensation formula is defined as the inductive reactance can limit the amount of power that can be transferred and lead to voltage drops, this would help to mitigate voltage drops along the transmission line, thereby improving voltage stability at the receiving end of the line. Degree in Series Compensation is denoted by K_se symbol.

How to calculate Degree of Series Compensation using this online calculator? To use this online calculator for Degree of Series Compensation, enter Series Reactance in Capacitor (X_c), Natural Impedance in Line (Z_n) & Electrical Length of Line (θ) and hit the calculate button. Here is how the Degree of Series Compensation calculation can be explained with given input values -> 0.943023 = 1.32/(6*0.3490658503988).

FAQ

What is Degree of Series Compensation?

The Degree of Series Compensation formula is defined as the inductive reactance can limit the amount of power that can be transferred and lead to voltage drops, this would help to mitigate voltage drops along the transmission line, thereby improving voltage stability at the receiving end of the line and is represented as K_se = X_c/(Z_n*θ) or Degree in Series Compensation = Series Reactance in Capacitor/(Natural Impedance in Line*Electrical Length of Line). Series Reactance in Capacitor is defined as the impedance that the capacitor introduces when connected in series with a transmission line or a circuit, Natural Impedance in Line is defined as the intrinsic impedance of the line when it is not loaded or terminated by external devices. It is also known as the characteristic impedance of the line & Electrical Length of Line is defined as the effective length of a transmission line as seen by the device.

How to calculate Degree of Series Compensation?

The Degree of Series Compensation formula is defined as the inductive reactance can limit the amount of power that can be transferred and lead to voltage drops, this would help to mitigate voltage drops along the transmission line, thereby improving voltage stability at the receiving end of the line is calculated using Degree in Series Compensation = Series Reactance in Capacitor/(Natural Impedance in Line*Electrical Length of Line). To calculate Degree of Series Compensation, you need Series Reactance in Capacitor (X_c), Natural Impedance in Line (Z_n) & Electrical Length of Line (θ). With our tool, you need to enter the respective value for Series Reactance in Capacitor, Natural Impedance in Line & Electrical Length of 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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