FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Degree of Series Compensation Formula

Fx Copy

LaTeX Copy

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. Check FAQs

K se = \frac{X c}{Z n \cdot θ}

K_se - Degree in Series Compensation?X_c - Series Reactance in Capacitor?Z_n - Natural Impedance in Line?θ - Electrical Length of Line?

Degree of Series Compensation Example

With values

With units

Only example

Here is how the Degree of Series Compensation equation looks like with Values.

Here is how the Degree of Series Compensation equation looks like with Units.

Here is how the Degree of Series Compensation equation looks like.

0.6303 = \frac{1.32}{6 \cdot 20}

0.6303 = \frac{1.32Ω}{6Ω \cdot 20°}

0.6303 = \frac{1.32}{6 \cdot 20}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Power System » fx Degree of Series Compensation

Degree of Series Compensation Solution

Follow our step by step solution on how to calculate Degree of Series Compensation?

FIRST Step Consider the formula

K se = \frac{X c}{Z n \cdot θ}

Next Step Substitute values of Variables

∴

K se = \frac{1.32Ω}{6Ω \cdot 20°}

Next Step Convert Units

∴

K se = \frac{1.32Ω}{6Ω \cdot 0.3491rad}

Next Step Prepare to Evaluate

∴

K se = \frac{1.32}{6 \cdot 0.3491}

Next Step Evaluate

∴

K se = 0.630253574644025

LAST Step Rounding Answer

∴

K se = 0.6303

Degree of Series Compensation Formula Elements

Variables

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

Series Reactance in Capacitor

Series Reactance in Capacitor is defined as the impedance that the capacitor introduces when connected in series with a transmission line or a circuit.

Symbol: X_c

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Series Reactance in Capacitor

Natural Impedance in Line

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.

Symbol: Z_n

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Natural Impedance in Line

Electrical Length of Line

Electrical Length of Line is defined as the effective length of a transmission line as seen by the device.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Electrical Length of Line

Other formulas in Static Synchronous Series Compensator(SSSC) category

Go Series Reactance of Capacitors

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

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}

Go Resonance Frequency for Shunt Capacitor Compensation

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

How to Evaluate Degree of Series Compensation?

Degree of Series Compensation evaluator uses Degree in Series Compensation = Series Reactance in Capacitor/(Natural Impedance in Line*Electrical Length of Line) to evaluate 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 evaluate Degree of Series Compensation using this online evaluator? To use this online evaluator 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.

FAQs on Degree of Series Compensation

What is the formula to find Degree of Series Compensation?

The formula of Degree of Series Compensation is expressed as Degree in Series Compensation = Series Reactance in Capacitor/(Natural Impedance in Line*Electrical Length of Line). Here is an example- 0.943023 = 1.32/(6*0.3490658503988).

How to calculate Degree of Series Compensation?

With Series Reactance in Capacitor (X_c), Natural Impedance in Line (Z_n) & Electrical Length of Line (θ) we can find Degree of Series Compensation using the formula - Degree in Series Compensation = Series Reactance in Capacitor/(Natural Impedance in Line*Electrical Length of Line).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Degree of Series Compensation Formula

Degree of Series Compensation Example

Degree of Series Compensation Solution

Degree of Series Compensation Formula Elements

Other formulas in Static Synchronous Series Compensator(SSSC) category

How to Evaluate Degree of Series Compensation?

FAQs on Degree of Series Compensation

Variable Name