Sending End Voltage using Power Factor(STL) Calculator

✖Receiving end voltage is the voltage developed at the receiving end of a transmission line.ⓘ Receiving End Voltage [V_r]			+10% -10%
✖Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line.ⓘ Receiving End Phase Angle [Φ_r]			+10% -10%
✖Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line.ⓘ Receiving End Current [I_r]			+10% -10%
✖Resistance is defined as a measure of the opposition to current flow in a short transmission line.ⓘ Resistance [R]			+10% -10%
✖Capacitive reactance is a measure of a capacitor’s opposition to AC (alternating current).ⓘ Capacitive Reactance [X_c]			+10% -10%

✖Sending end voltage is the voltage at the sending end of a transmission line.ⓘ Sending End Voltage using Power Factor(STL) [V_s]

⎘ Copy

👎

Formula

✖

Sending End Voltage using Power Factor(STL)

Formula

`"V"_{"s"} = sqrt(((("V"_{"r"}*cos("Φ"_{"r"}))+("I"_{"r"}*"R"))^2)+((("V"_{"r"}*sin("Φ"_{"r"}))+("I"_{"r"}*"X"_{"c"}))^2))`

Example

`"510.9091V"=sqrt(((("380V"*cos("75°"))+("3.9A"*"65.7Ω"))^2)+((("380V"*sin("75°"))+("3.9A"*"0.2Ω"))^2))`

Calculator

LaTeX

Reset

👍

Download Transmission Lines Formula PDF PDF Image

Sending End Voltage using Power Factor(STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sending End Voltage = sqrt((((Receiving End Voltage*cos(Receiving End Phase Angle))+(Receiving End Current*Resistance))^2)+(((Receiving End Voltage*sin(Receiving End Phase Angle))+(Receiving End Current*Capacitive Reactance))^2))
V_s = sqrt((((V_r*cos(Φ_r))+(I_r*R))^2)+(((V_r*sin(Φ_r))+(I_r*X_c))^2))
This formula uses 3 Functions, 6 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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

Sending End Voltage - (Measured in Volt) - Sending end voltage is the voltage at the sending end of a transmission line.
Receiving End Voltage - (Measured in Volt) - Receiving end voltage is the voltage developed at the receiving end of a transmission line.
Receiving End Phase Angle - (Measured in Radian) - Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line.
Receiving End Current - (Measured in Ampere) - Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line.
Resistance - (Measured in Ohm) - Resistance is defined as a measure of the opposition to current flow in a short transmission line.
Capacitive Reactance - (Measured in Ohm) - Capacitive reactance is a measure of a capacitor’s opposition to AC (alternating current).

STEP 1: Convert Input(s) to Base Unit

Receiving End Voltage: 380 Volt --> 380 Volt No Conversion Required
Receiving End Phase Angle: 75 Degree --> 1.3089969389955 Radian (Check conversion here)
Receiving End Current: 3.9 Ampere --> 3.9 Ampere No Conversion Required
Resistance: 65.7 Ohm --> 65.7 Ohm No Conversion Required
Capacitive Reactance: 0.2 Ohm --> 0.2 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = sqrt((((V_r*cos(Φ_r))+(I_r*R))^2)+(((V_r*sin(Φ_r))+(I_r*X_c))^2)) --> sqrt((((380*cos(1.3089969389955))+(3.9*65.7))^2)+(((380*sin(1.3089969389955))+(3.9*0.2))^2))

Evaluating ... ...

V_s = 510.909088893612

STEP 3: Convert Result to Output's Unit

510.909088893612 Volt --> No Conversion Required

FINAL ANSWER

510.909088893612 ≈ 510.9091 Volt <-- Sending End Voltage

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Transmission Lines » Short Line » Voltage » Sending End Voltage using Power Factor(STL)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 8 Voltage Calculators

Sending End Voltage using Power Factor(STL)

Go Sending End Voltage = sqrt((((Receiving End Voltage*cos(Receiving End Phase Angle))+(Receiving End Current*Resistance))^2)+(((Receiving End Voltage*sin(Receiving End Phase Angle))+(Receiving End Current*Capacitive Reactance))^2))

Sending End Voltage using Transmission Efficiency (STL)

Go Sending End Voltage = Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Current*(cos(Sending End Phase Angle)))

Receiving End Voltage using Transmission Efficiency (STL)

Go Receiving End Voltage = Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*cos(Receiving End Phase Angle))

Receiving End Voltage using Receiving End Power (STL)

Go Receiving End Voltage = Receiving End Power/(3*Receiving End Current*cos(Receiving End Phase Angle))

Sending End Voltage using Sending End Power (STL)

Go Sending End Voltage = Sending End Power/(3*Sending End Current*cos(Sending End Phase Angle))

Sending End Voltage in Transmission Line

Go Sending End Voltage = ((Voltage Regulation*Receiving End Voltage)/100)+Receiving End Voltage

Receiving End Voltage using Impedance (STL)

Go Receiving End Voltage = Sending End Voltage-(Receiving End Current*Impedance)

Transmitted Inductance (SC Line)

Go Characteristic Impedance = Transmitted Voltage/Transmitted Current

Sending End Voltage using Power Factor(STL) Formula

What are applications of short transmission line?

Short transmission lines find use in distribution networks, connecting local substations and delivering power to consumers. They're employed in urban areas, industrial zones, and regions with shorter distance power transfers due to their manageable impedance and lower voltage drops.

How to Calculate Sending End Voltage using Power Factor(STL)?

Sending End Voltage using Power Factor(STL) calculator uses Sending End Voltage = sqrt((((Receiving End Voltage*cos(Receiving End Phase Angle))+(Receiving End Current*Resistance))^2)+(((Receiving End Voltage*sin(Receiving End Phase Angle))+(Receiving End Current*Capacitive Reactance))^2)) to calculate the Sending End Voltage, The Sending End Voltage using Power Factor(STL) formula is defined as the voltage we have given to the system. Sending End Voltage is denoted by V_s symbol.

How to calculate Sending End Voltage using Power Factor(STL) using this online calculator? To use this online calculator for Sending End Voltage using Power Factor(STL), enter Receiving End Voltage (V_r), Receiving End Phase Angle (Φ_r), Receiving End Current (I_r), Resistance (R) & Capacitive Reactance (X_c) and hit the calculate button. Here is how the Sending End Voltage using Power Factor(STL) calculation can be explained with given input values -> 414.9042 = sqrt((((380*cos(1.3089969389955))+(3.9*65.7))^2)+(((380*sin(1.3089969389955))+(3.9*0.2))^2)).

FAQ

What is Sending End Voltage using Power Factor(STL)?

The Sending End Voltage using Power Factor(STL) formula is defined as the voltage we have given to the system and is represented as V_s = sqrt((((V_r*cos(Φ_r))+(I_r*R))^2)+(((V_r*sin(Φ_r))+(I_r*X_c))^2)) or Sending End Voltage = sqrt((((Receiving End Voltage*cos(Receiving End Phase Angle))+(Receiving End Current*Resistance))^2)+(((Receiving End Voltage*sin(Receiving End Phase Angle))+(Receiving End Current*Capacitive Reactance))^2)). Receiving end voltage is the voltage developed at the receiving end of a transmission line, Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line, Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line, Resistance is defined as a measure of the opposition to current flow in a short transmission line & Capacitive reactance is a measure of a capacitor’s opposition to AC (alternating current).

How to calculate Sending End Voltage using Power Factor(STL)?

The Sending End Voltage using Power Factor(STL) formula is defined as the voltage we have given to the system is calculated using Sending End Voltage = sqrt((((Receiving End Voltage*cos(Receiving End Phase Angle))+(Receiving End Current*Resistance))^2)+(((Receiving End Voltage*sin(Receiving End Phase Angle))+(Receiving End Current*Capacitive Reactance))^2)). To calculate Sending End Voltage using Power Factor(STL), you need Receiving End Voltage (V_r), Receiving End Phase Angle (Φ_r), Receiving End Current (I_r), Resistance (R) & Capacitive Reactance (X_c). With our tool, you need to enter the respective value for Receiving End Voltage, Receiving End Phase Angle, Receiving End Current, Resistance & Capacitive Reactance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Sending End Voltage?

In this formula, Sending End Voltage uses Receiving End Voltage, Receiving End Phase Angle, Receiving End Current, Resistance & Capacitive Reactance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Sending End Voltage = ((Voltage Regulation*Receiving End Voltage)/100)+Receiving End Voltage
Sending End Voltage = Sending End Power/(3*Sending End Current*cos(Sending End Phase Angle))
Sending End Voltage = Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Current*(cos(Sending End Phase Angle)))

Home

FREE PDFs

🔍 Search