Surge Impedance of Compensated Line Calculator

✖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.ⓘ Natural Impedance in Line [Z_n]			+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%
✖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%

✖Surge Impedance in Compensated Line defines how transient waves propagate along the line.ⓘ Surge Impedance of Compensated Line [Z'_n]

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Formula

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Surge Impedance of Compensated Line

Formula

`"Z'"_{"n"} = "Z"_{"n"}*sqrt((1-"K"_{"se"})/(1-"k"_{"sh"}))`

Example

`"5.366563Ω"="6Ω"*sqrt((1-"0.6")/(1-"0.5"))`

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Surge Impedance of Compensated Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surge Impedance in Compensated Line = Natural Impedance in Line*sqrt((1-Degree in Series Compensation)/(1-Degree in Shunt Compensation))
Z'_n = Z_n*sqrt((1-K_se)/(1-k_sh))
This formula uses 1 Functions, 4 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

Surge Impedance in Compensated Line - (Measured in Ohm) - Surge Impedance in Compensated Line defines how transient waves propagate along the line.
Natural Impedance in Line - (Measured in Ohm) - 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.
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.
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

Natural Impedance in Line: 6 Ohm --> 6 Ohm No Conversion Required
Degree in Series Compensation: 0.6 --> No Conversion Required
Degree in Shunt Compensation: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z'_n = Z_n*sqrt((1-K_se)/(1-k_sh)) --> 6*sqrt((1-0.6)/(1-0.5))

Evaluating ... ...

Z'_n = 5.3665631459995

STEP 3: Convert Result to Output's Unit

5.3665631459995 Ohm --> No Conversion Required

FINAL ANSWER

5.3665631459995 ≈ 5.366563 Ohm <-- Surge Impedance in Compensated Line

(Calculation completed in 00.004 seconds)

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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< 8 AC Transmission Line Analysis Calculators

Phase Constant of Compensated Line

Go Phase Constant in Compensated Line = Phase Constant in Uncompensated Line*sqrt((1-Degree in Series Compensation)*(1-Degree in Shunt Compensation))

Surge Impedance of Compensated Line

Go Surge Impedance in Compensated Line = Natural Impedance in Line*sqrt((1-Degree in Series Compensation)/(1-Degree in Shunt Compensation))

Velocity Propagation in Lossless Line

Go Velocity Propagation in Lossless Line = 1/sqrt(Series Inductance in Line*Series Capacitance in the Line)

Thevenin's Voltage of Line

Go Thevenin's Voltage of Line = Sending End Voltage/cos(Electrical Length of Line)

Wavelength Propagation in Lossless Line

Go Wavelength Propagation in Lossless Line = Velocity Propagation in Lossless Line/Lossless Line Frequency

Source Current in Ideal Compensator

Go Source Current in Ideal Compensator = Load Current in Ideal Compensator-Compensator Current

Electrical Length of Line

Go Electrical Length of Line = Phase Constant in Compensated Line*Line Length

Effective Conductance of Load

Go Effective Conductance in Load = Real Power of Load/RMS Voltage in SVC^2

Surge Impedance of Compensated Line Formula

Surge Impedance in Compensated Line = Natural Impedance in Line*sqrt((1-Degree in Series Compensation)/(1-Degree in Shunt Compensation))
Z'_n = Z_n*sqrt((1-K_se)/(1-k_sh))

What is the Surge Impedance of a Compensated Line?

The surge impedance of a transmission line represents the characteristic impedance of the line under surge or transient conditions, this is the parameter in the analysis of transmission lines and is particularly important in understanding how transient waves propagate along the line. It is often used to calculate surge velocity and determine the voltage and current behavior during transient events, such as lightning strikes or switching operations.

How to Calculate Surge Impedance of Compensated Line?

Surge Impedance of Compensated Line calculator uses Surge Impedance in Compensated Line = Natural Impedance in Line*sqrt((1-Degree in Series Compensation)/(1-Degree in Shunt Compensation)) to calculate the Surge Impedance in Compensated Line, The Surge Impedance of Compensated Line formula defines how transient waves propagate along the line. In the context of a compensated line the surge impedance would be influenced by the additional reactive components introduced by the compensating devices. Surge Impedance in Compensated Line is denoted by Z'_n symbol.

How to calculate Surge Impedance of Compensated Line using this online calculator? To use this online calculator for Surge Impedance of Compensated Line, enter Natural Impedance in Line (Z_n), Degree in Series Compensation (K_se) & Degree in Shunt Compensation (k_sh) and hit the calculate button. Here is how the Surge Impedance of Compensated Line calculation can be explained with given input values -> 5.366563 = 6*sqrt((1-0.6)/(1-0.5)).

FAQ

What is Surge Impedance of Compensated Line?

The Surge Impedance of Compensated Line formula defines how transient waves propagate along the line. In the context of a compensated line the surge impedance would be influenced by the additional reactive components introduced by the compensating devices and is represented as Z'_n = Z_n*sqrt((1-K_se)/(1-k_sh)) or Surge Impedance in Compensated Line = Natural Impedance in Line*sqrt((1-Degree in Series Compensation)/(1-Degree in Shunt Compensation)). 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, 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 Shunt Compensation is defined as the extent or amount of shunt compensation applied to improve system performance.

How to calculate Surge Impedance of Compensated Line?

The Surge Impedance of Compensated Line formula defines how transient waves propagate along the line. In the context of a compensated line the surge impedance would be influenced by the additional reactive components introduced by the compensating devices is calculated using Surge Impedance in Compensated Line = Natural Impedance in Line*sqrt((1-Degree in Series Compensation)/(1-Degree in Shunt Compensation)). To calculate Surge Impedance of Compensated Line, you need Natural Impedance in Line (Z_n), Degree in Series Compensation (K_se) & Degree in Shunt Compensation (k_sh). With our tool, you need to enter the respective value for Natural Impedance in Line, Degree in Series Compensation & 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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