Thevenin's Voltage of Line Calculator

✖Sending End Voltage is defined as the voltage at the source or sending end of a transmission line in an electrical power system.ⓘ Sending End Voltage [V_s]			+10% -10%
✖Electrical Length of Line is defined as the effective length of a transmission line as seen by the device.ⓘ Electrical Length of Line [θ]			+10% -10%

✖Thevenin's Voltage of Line is defined as the equivalent voltage source that represents the behavior of the line as seen from a specific point.ⓘ Thevenin's Voltage of Line [V_th]

⎘ Copy

👎

Formula

✖

Thevenin's Voltage of Line

Formula

`"V"_{"th"} = "V"_{"s"}/cos("θ")`

Example

`"57.4656V"="54V"/cos("20°")`

Calculator

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Thevenin's Voltage of Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thevenin's Voltage of Line = Sending End Voltage/cos(Electrical Length of Line)
V_th = V_s/cos(θ)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Thevenin's Voltage of Line - (Measured in Volt) - Thevenin's Voltage of Line is defined as the equivalent voltage source that represents the behavior of the line as seen from a specific point.
Sending End Voltage - (Measured in Volt) - Sending End Voltage is defined as the voltage at the source or sending end of a transmission line in an electrical power system.
Electrical Length of Line - (Measured in Radian) - Electrical Length of Line is defined as the effective length of a transmission line as seen by the device.

STEP 1: Convert Input(s) to Base Unit

Sending End Voltage: 54 Volt --> 54 Volt No Conversion Required
Electrical Length of Line: 20 Degree --> 0.3490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_th = V_s/cos(θ) --> 54/cos(0.3490658503988)

Evaluating ... ...

V_th = 57.4655997136979

STEP 3: Convert Result to Output's Unit

57.4655997136979 Volt --> No Conversion Required

FINAL ANSWER

57.4655997136979 ≈ 57.4656 Volt <-- Thevenin's Voltage of Line

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » FACTS Devices » AC Transmission Line Analysis » Thevenin's Voltage of Line

Credits

Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has created this Calculator and 50+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

Aman Dhussawat has verified this Calculator and 100+ more calculators!

< 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

Thevenin's Voltage of Line Formula

Thevenin's Voltage of Line = Sending End Voltage/cos(Electrical Length of Line)
V_th = V_s/cos(θ)

What is Thevenin's Voltage of a Line?

Thevenin's Voltage of a Line is defined as the equivalent voltage source that represents the behavior of the line as seen from a specific point. This is a simplified model used in electrical circuit analysis, particularly in power systems, to represent the effect of a transmission line. Thevenin equivalent(V_th) simplifies the representation of a transmission line when the detailed analysis of the entire line is not necessary, and a more straightforward model is sufficient for certain calculations or analyses.

How to Calculate Thevenin's Voltage of Line?

Thevenin's Voltage of Line calculator uses Thevenin's Voltage of Line = Sending End Voltage/cos(Electrical Length of Line) to calculate the Thevenin's Voltage of Line, The Thevenin's Voltage of Line formula is defined as the equivalent voltage source that represents the behavior of the line as seen from a specific point mainly used in electrical circuit analysis. Thevenin's Voltage of Line is denoted by V_th symbol.

How to calculate Thevenin's Voltage of Line using this online calculator? To use this online calculator for Thevenin's Voltage of Line, enter Sending End Voltage (V_s) & Electrical Length of Line (θ) and hit the calculate button. Here is how the Thevenin's Voltage of Line calculation can be explained with given input values -> 57.4656 = 54/cos(0.3490658503988).

FAQ

What is Thevenin's Voltage of Line?

The Thevenin's Voltage of Line formula is defined as the equivalent voltage source that represents the behavior of the line as seen from a specific point mainly used in electrical circuit analysis and is represented as V_th = V_s/cos(θ) or Thevenin's Voltage of Line = Sending End Voltage/cos(Electrical Length of Line). Sending End Voltage is defined as the voltage at the source or sending end of a transmission line in an electrical power system & Electrical Length of Line is defined as the effective length of a transmission line as seen by the device.

How to calculate Thevenin's Voltage of Line?

The Thevenin's Voltage of Line formula is defined as the equivalent voltage source that represents the behavior of the line as seen from a specific point mainly used in electrical circuit analysis is calculated using Thevenin's Voltage of Line = Sending End Voltage/cos(Electrical Length of Line). To calculate Thevenin's Voltage of Line, you need Sending End Voltage (V_s) & Electrical Length of Line (θ). With our tool, you need to enter the respective value for Sending End Voltage & Electrical Length of Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search