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Electrical Resonance Frequency for Series Capacitor Compensation Formula

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Resonance Frequency of Series Capacitor Compensation is defined as the frequency at which the capacitive reactance introduced by the series capacitor. Check FAQs

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

f_r(se) - Resonance Frequency of Series Capacitor?f_op - Operating System Frequency?K_se - Degree in Series Compensation?

Electrical Resonance Frequency for Series Capacitor Compensation Example

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

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

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

37.9473 = 60 \cdot \sqrt{1 - 0.6}

37.9473Hz = 60Hz \cdot \sqrt{1 - 0.6}

37.9473 = 60 \cdot \sqrt{1 - 0.6}

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Electrical Resonance Frequency for Series Capacitor Compensation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f r(se) = 60Hz \cdot \sqrt{1 - 0.6}

Next Step Prepare to Evaluate

∴

f r(se) = 60 \cdot \sqrt{1 - 0.6}

Next Step Evaluate

∴

f r(se) = 37.9473319220206Hz

LAST Step Rounding Answer

∴

f r(se) = 37.9473Hz

Electrical Resonance Frequency for Series Capacitor Compensation Formula Elements

Variables

Functions

Resonance Frequency of Series Capacitor

Resonance Frequency of Series Capacitor Compensation is defined as the frequency at which the capacitive reactance introduced by the series capacitor.

Symbol: f_r(se)

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Resonance Frequency of Series 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 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.

Symbol: K_se

Measurement: NAUnit: Unitless

Note: Value should be less than 0.7.

Formulas to find Degree in Series 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 Power Flow in SSSC

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

Go Resonance Frequency for Shunt Capacitor Compensation

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

How to Evaluate Electrical Resonance Frequency for Series Capacitor Compensation?

Electrical Resonance Frequency for Series Capacitor Compensation evaluator uses Resonance Frequency of Series Capacitor = Operating System Frequency*sqrt(1-Degree in Series Compensation) to evaluate 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 evaluate Electrical Resonance Frequency for Series Capacitor Compensation using this online evaluator? To use this online evaluator 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.

FAQs on Electrical Resonance Frequency for Series Capacitor Compensation

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

The formula of Electrical Resonance Frequency for Series Capacitor Compensation is expressed as Resonance Frequency of Series Capacitor = Operating System Frequency*sqrt(1-Degree in Series Compensation). Here is an example- 37.94733 = 60*sqrt(1-0.6).

How to calculate Electrical Resonance Frequency for Series Capacitor Compensation?

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

Can the Electrical Resonance Frequency for Series Capacitor Compensation be negative?

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

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

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

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