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Resonance Frequency for Shunt Capacitor Compensation Formula

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Resonance Frequency of Shunt Capacitor Compensation is equal to the inductive reactance of the system or a part of the system. Check FAQs

f r(sh) = f op \cdot \sqrt{\frac{1}{1 - k sh}}

f_r(sh) - Resonance Frequency of Shunt Capacitor?f_op - Operating System Frequency?k_sh - Degree in Shunt Compensation?

Resonance Frequency for Shunt Capacitor Compensation Example

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Here is how the Resonance Frequency for Shunt Capacitor Compensation equation looks like with Values.

Here is how the Resonance Frequency for Shunt Capacitor Compensation equation looks like with Units.

Here is how the Resonance Frequency for Shunt Capacitor Compensation equation looks like.

84.8528 = 60 \cdot \sqrt{\frac{1}{1 - 0.5}}

84.8528Hz = 60Hz \cdot \sqrt{\frac{1}{1 - 0.5}}

84.8528 = 60 \cdot \sqrt{\frac{1}{1 - 0.5}}

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Resonance Frequency for Shunt Capacitor Compensation Solution

Follow our step by step solution on how to calculate Resonance Frequency for Shunt Capacitor Compensation?

FIRST Step Consider the formula

f r(sh) = f op \cdot \sqrt{\frac{1}{1 - k sh}}

Next Step Substitute values of Variables

∴

f r(sh) = 60Hz \cdot \sqrt{\frac{1}{1 - 0.5}}

Next Step Prepare to Evaluate

∴

f r(sh) = 60 \cdot \sqrt{\frac{1}{1 - 0.5}}

Next Step Evaluate

∴

f r(sh) = 84.8528137423857Hz

LAST Step Rounding Answer

∴

f r(sh) = 84.8528Hz

Resonance Frequency for Shunt Capacitor Compensation Formula Elements

Variables

Functions

Resonance Frequency of Shunt Capacitor

Resonance Frequency of Shunt Capacitor Compensation is equal to the inductive reactance of the system or a part of the system.

Symbol: f_r(sh)

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Resonance Frequency of Shunt Capacitor

Operating System Frequency

Operating System Frequency is defined as the rate at which a repeating event occurs, usually measured in hertz (Hz).

Symbol: f_op

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Operating System Frequency

Degree in Shunt Compensation

Degree in Shunt Compensation is defined as the extent or amount of shunt compensation applied to improve system performance.

Symbol: k_sh

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Degree in Shunt Compensation

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.

Syntax: sqrt(Number)

Other formulas in Static Synchronous Series Compensator(SSSC) category

Go Series Reactance of Capacitors

X c = X \cdot (1 - K se)

Go Degree of Series Compensation

K se = \frac{X c}{Z n \cdot θ}

Go Electrical Resonance Frequency for Series Capacitor Compensation

f r(se) = f op \cdot \sqrt{1 - K se}

Go Power Flow in SSSC

P sssc = P max + \frac{V se \cdot I sh}{4}

How to Evaluate Resonance Frequency for Shunt Capacitor Compensation?

Resonance Frequency for Shunt Capacitor Compensation evaluator uses Resonance Frequency of Shunt Capacitor = Operating System Frequency*sqrt(1/(1-Degree in Shunt Compensation)) to evaluate 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 evaluate Resonance Frequency for Shunt Capacitor Compensation using this online evaluator? To use this online evaluator for Resonance Frequency for Shunt Capacitor Compensation, enter Operating System Frequency (f_op) & Degree in Shunt Compensation (k_sh) and hit the calculate button.

FAQs on Resonance Frequency for Shunt Capacitor Compensation

What is the formula to find Resonance Frequency for Shunt Capacitor Compensation?

The formula of Resonance Frequency for Shunt Capacitor Compensation is expressed as Resonance Frequency of Shunt Capacitor = Operating System Frequency*sqrt(1/(1-Degree in Shunt Compensation)). Here is an example- 84.85281 = 60*sqrt(1/(1-0.5)).

How to calculate Resonance Frequency for Shunt Capacitor Compensation?

With Operating System Frequency (f_op) & Degree in Shunt Compensation (k_sh) we can find Resonance Frequency for Shunt Capacitor Compensation using the formula - Resonance Frequency of Shunt Capacitor = Operating System Frequency*sqrt(1/(1-Degree in Shunt Compensation)). This formula also uses Square Root (sqrt) function(s).

Can the Resonance Frequency for Shunt Capacitor Compensation be negative?

No, the Resonance Frequency for Shunt Capacitor Compensation, measured in Frequency cannot be negative.

Which unit is used to measure Resonance Frequency for Shunt Capacitor Compensation?

Resonance Frequency for Shunt Capacitor Compensation is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Resonance Frequency for Shunt Capacitor Compensation can be measured.

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Resonance Frequency for Shunt Capacitor Compensation Formula

Resonance Frequency for Shunt Capacitor Compensation Example

Resonance Frequency for Shunt Capacitor Compensation Solution

Resonance Frequency for Shunt Capacitor Compensation Formula Elements

Other formulas in Static Synchronous Series Compensator(SSSC) category

How to Evaluate Resonance Frequency for Shunt Capacitor Compensation?

FAQs on Resonance Frequency for Shunt Capacitor Compensation

Variable Name