Electrical Resonance Frequency for Series Capacitor Compensation Calculator

✖Operating System Frequency is defined as the rate at which a repeating event occurs, usually measured in hertz (Hz).ⓘ Operating System Frequency [f_op]			+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%

✖Resonance Frequency of Series Capacitor Compensation is defined as the frequency at which the capacitive reactance introduced by the series capacitor.ⓘ Electrical Resonance Frequency for Series Capacitor Compensation [f_r(se)]

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Formula

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Electrical Resonance Frequency for Series Capacitor Compensation

Formula

`"f"_{"r(se)"} = "f"_{"op"}*sqrt(1-"K"_{"se"})`

Example

`"37.94733Hz"="60.0Hz"*sqrt(1-"0.6")`

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Electrical Resonance Frequency for Series Capacitor Compensation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resonance Frequency of Series Capacitor = Operating System Frequency*sqrt(1-Degree in Series Compensation)
f_r(se) = f_op*sqrt(1-K_se)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Resonance Frequency of Series Capacitor - (Measured in Hertz) - Resonance Frequency of Series Capacitor Compensation is defined as the frequency at which the capacitive reactance introduced by the series capacitor.
Operating System Frequency - (Measured in Hertz) - Operating System Frequency is defined as the rate at which a repeating event occurs, usually measured in hertz (Hz).
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

Operating System Frequency: 60 Hertz --> 60 Hertz No Conversion Required
Degree in Series Compensation: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_r(se) = f_op*sqrt(1-K_se) --> 60*sqrt(1-0.6)

Evaluating ... ...

f_r(se) = 37.9473319220206

STEP 3: Convert Result to Output's Unit

37.9473319220206 Hertz --> No Conversion Required

FINAL ANSWER

37.9473319220206 ≈ 37.94733 Hertz <-- Resonance Frequency of Series Capacitor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » FACTS Devices » Static Synchronous Series Compensator(SSSC) » Electrical Resonance Frequency for Series Capacitor 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

Electrical Resonance Frequency for Series Capacitor Compensation Formula

Resonance Frequency of Series Capacitor = Operating System Frequency*sqrt(1-Degree in Series Compensation)
f_r(se) = f_op*sqrt(1-K_se)

What is the Electrical Resonance Frequency for Series Capacitor Compensation?

Electrical Resonance Frequency for Series Capacitor Compensation is explained in terms of series capacitor compensation, the series capacitor is introduced to offset the inductive reactance of the system and improve its power factor. The resonance frequency is the frequency at which the capacitive and inductive reactance are equal in magnitude, leading to resonance. Resonance can lead to high currents and voltages, potentially causing equipment damage and compromising the stability of the power system.

How to Calculate Electrical Resonance Frequency for Series Capacitor Compensation?

Electrical Resonance Frequency for Series Capacitor Compensation calculator uses Resonance Frequency of Series Capacitor = Operating System Frequency*sqrt(1-Degree in Series Compensation) to calculate the Resonance Frequency of Series Capacitor, The Electrical Resonance Frequency for Series Capacitor Compensation formula is defined as the offset the inductive reactance of the system and improve its power factor. Resonance Frequency of Series Capacitor is denoted by f_r(se) symbol.

How to calculate Electrical Resonance Frequency for Series Capacitor Compensation using this online calculator? To use this online calculator for Electrical Resonance Frequency for Series Capacitor Compensation, enter Operating System Frequency (f_op) & Degree in Series Compensation (K_se) and hit the calculate button. Here is how the Electrical Resonance Frequency for Series Capacitor Compensation calculation can be explained with given input values -> 37.94733 = 60*sqrt(1-0.6).

FAQ

What is Electrical Resonance Frequency for Series Capacitor Compensation?

The Electrical Resonance Frequency for Series Capacitor Compensation formula is defined as the offset the inductive reactance of the system and improve its power factor and is represented as f_r(se) = f_op*sqrt(1-K_se) or Resonance Frequency of Series Capacitor = Operating System Frequency*sqrt(1-Degree in Series Compensation). Operating System Frequency is defined as the rate at which a repeating event occurs, usually measured in hertz (Hz) & 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 Electrical Resonance Frequency for Series Capacitor Compensation?

The Electrical Resonance Frequency for Series Capacitor Compensation formula is defined as the offset the inductive reactance of the system and improve its power factor is calculated using Resonance Frequency of Series Capacitor = Operating System Frequency*sqrt(1-Degree in Series Compensation). To calculate Electrical Resonance Frequency for Series Capacitor Compensation, you need Operating System Frequency (f_op) & Degree in Series Compensation (K_se). With our tool, you need to enter the respective value for Operating System Frequency & 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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