Resonance Frequency for Shunt 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 Shunt Compensation is defined as the extent or amount of shunt compensation applied to improve system performance.ⓘ Degree in Shunt Compensation [k_sh]			+10% -10%

✖Resonance Frequency of Shunt Capacitor Compensation is equal to the inductive reactance of the system or a part of the system.ⓘ Resonance Frequency for Shunt Capacitor Compensation [f_r(sh)]

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Formula

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Resonance Frequency for Shunt Capacitor Compensation

Formula

`"f"_{"r(sh)"} = "f"_{"op"}*sqrt(1/(1-"k"_{"sh"}))`

Example

`"84.85281Hz"="60.0Hz"*sqrt(1/(1-"0.5"))`

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Resonance Frequency for Shunt Capacitor Compensation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resonance Frequency of Shunt Capacitor = Operating System Frequency*sqrt(1/(1-Degree in Shunt Compensation))
f_r(sh) = f_op*sqrt(1/(1-k_sh))
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 Shunt Capacitor - (Measured in Hertz) - Resonance Frequency of Shunt Capacitor Compensation is equal to the inductive reactance of the system or a part of the system.
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 Shunt Compensation - Degree in Shunt Compensation is defined as the extent or amount of shunt compensation applied to improve system performance.

STEP 1: Convert Input(s) to Base Unit

Operating System Frequency: 60 Hertz --> 60 Hertz No Conversion Required
Degree in Shunt Compensation: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_r(sh) = f_op*sqrt(1/(1-k_sh)) --> 60*sqrt(1/(1-0.5))

Evaluating ... ...

f_r(sh) = 84.8528137423857

STEP 3: Convert Result to Output's Unit

84.8528137423857 Hertz --> No Conversion Required

FINAL ANSWER

84.8528137423857 ≈ 84.85281 Hertz <-- Resonance Frequency of Shunt Capacitor

(Calculation completed in 00.004 seconds)

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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

Resonance Frequency for Shunt Capacitor Compensation Formula

Resonance Frequency of Shunt Capacitor = Operating System Frequency*sqrt(1/(1-Degree in Shunt Compensation))
f_r(sh) = f_op*sqrt(1/(1-k_sh))

What is the Resonance Frequency for Shunt Capacitor Compensation?

Resonance Frequency for Shunt Capacitor Compensation is defined as the frequency at which the capacitive reactance of the shunt capacitor equals the inductive reactance of the system or a part of the system. At resonance, the capacitive and inductive components cancel each other out, resulting in a condition where the impedance is minimized.

How to Calculate Resonance Frequency for Shunt Capacitor Compensation?

Resonance Frequency for Shunt Capacitor Compensation calculator uses Resonance Frequency of Shunt Capacitor = Operating System Frequency*sqrt(1/(1-Degree in Shunt Compensation)) to calculate the Resonance Frequency of Shunt Capacitor, The Resonance Frequency for Shunt Capacitor Compensation formula is defined as the resonance at which excessive current and voltage levels, increases leading to equipment damage and potential system instability. Resonance Frequency of Shunt Capacitor is denoted by f_r(sh) symbol.

How to calculate Resonance Frequency for Shunt Capacitor Compensation using this online calculator? To use this online calculator for Resonance Frequency for Shunt Capacitor Compensation, enter Operating System Frequency (f_op) & Degree in Shunt Compensation (k_sh) and hit the calculate button. Here is how the Resonance Frequency for Shunt Capacitor Compensation calculation can be explained with given input values -> 84.85281 = 60*sqrt(1/(1-0.5)).

FAQ

What is Resonance Frequency for Shunt Capacitor Compensation?

The Resonance Frequency for Shunt Capacitor Compensation formula is defined as the resonance at which excessive current and voltage levels, increases leading to equipment damage and potential system instability and is represented as f_r(sh) = f_op*sqrt(1/(1-k_sh)) or Resonance Frequency of Shunt Capacitor = Operating System Frequency*sqrt(1/(1-Degree in Shunt Compensation)). Operating System Frequency is defined as the rate at which a repeating event occurs, usually measured in hertz (Hz) & Degree in Shunt Compensation is defined as the extent or amount of shunt compensation applied to improve system performance.

How to calculate Resonance Frequency for Shunt Capacitor Compensation?

The Resonance Frequency for Shunt Capacitor Compensation formula is defined as the resonance at which excessive current and voltage levels, increases leading to equipment damage and potential system instability is calculated using Resonance Frequency of Shunt Capacitor = Operating System Frequency*sqrt(1/(1-Degree in Shunt Compensation)). To calculate Resonance Frequency for Shunt Capacitor Compensation, you need Operating System Frequency (f_op) & Degree in Shunt Compensation (k_sh). With our tool, you need to enter the respective value for Operating System Frequency & Degree in Shunt 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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