Receiving End Voltage using Transmission Efficiency (STL) Calculator

✖Transmission Efficiency is the total sideband power by the total transmitted power.ⓘ Transmission Efficiency [η]			+10% -10%
✖Sending end voltage is the voltage at the sending end of a transmission line.ⓘ Sending End Voltage [V_s]			+10% -10%
✖Sending End Current is defined as the amount of current injected into a short transmission line from the source or injectors.ⓘ Sending End Current [I_s]			+10% -10%
✖Sending End Phase Angle is the difference between the phasors of current and voltage at thee sending end of a short transmission line.ⓘ Sending End Phase Angle [Φ_s]			+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%
✖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 voltage is the voltage developed at the receiving end of a transmission line.ⓘ Receiving End Voltage using Transmission Efficiency (STL) [V_r]

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Formula

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Receiving End Voltage using Transmission Efficiency (STL)

Formula

`"V"_{"r"} = "η"*"V"_{"s"}*"I"_{"s"}*cos("Φ"_{"s"})/("I"_{"r"}*cos("Φ"_{"r"}))`

Example

`"379.7149V"="0.278"*"400V"*"3.98A"*cos("30°")/("3.9A"*cos("75°"))`

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Receiving End Voltage using Transmission Efficiency (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Receiving End Voltage = Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*cos(Receiving End Phase Angle))
V_r = η*V_s*I_s*cos(Φ_s)/(I_r*cos(Φ_r))
This formula uses 1 Functions, 7 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

Receiving End Voltage - (Measured in Volt) - Receiving end voltage is the voltage developed at the receiving end of a transmission line.
Transmission Efficiency - Transmission Efficiency is the total sideband power by the total transmitted power.
Sending End Voltage - (Measured in Volt) - Sending end voltage is the voltage at the sending end of a transmission line.
Sending End Current - (Measured in Ampere) - Sending End Current is defined as the amount of current injected into a short transmission line from the source or injectors.
Sending End Phase Angle - (Measured in Radian) - Sending End Phase Angle is the difference between the phasors of current and voltage at thee sending 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.
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.

STEP 1: Convert Input(s) to Base Unit

Transmission Efficiency: 0.278 --> No Conversion Required
Sending End Voltage: 400 Volt --> 400 Volt No Conversion Required
Sending End Current: 3.98 Ampere --> 3.98 Ampere No Conversion Required
Sending End Phase Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Receiving End Current: 3.9 Ampere --> 3.9 Ampere No Conversion Required
Receiving End Phase Angle: 75 Degree --> 1.3089969389955 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_r = η*V_s*I_s*cos(Φ_s)/(I_r*cos(Φ_r)) --> 0.278*400*3.98*cos(0.5235987755982)/(3.9*cos(1.3089969389955))

Evaluating ... ...

V_r = 379.714912454075

STEP 3: Convert Result to Output's Unit

379.714912454075 Volt --> No Conversion Required

FINAL ANSWER

379.714912454075 ≈ 379.7149 Volt <-- Receiving End Voltage

(Calculation completed in 00.011 seconds)

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

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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

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< 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

Receiving End Voltage using Transmission Efficiency (STL) Formula

What is the difference between efficiency and transmission efficiency?

Efficiency generally refers to the ratio of useful output to input in a system, considering losses. Transmission efficiency specifically pertains to the effectiveness of transferring power or data through a medium or system, focusing on minimizing losses during the transmission process from a source to a destination.

How to Calculate Receiving End Voltage using Transmission Efficiency (STL)?

Receiving End Voltage using Transmission Efficiency (STL) calculator uses Receiving End Voltage = Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*cos(Receiving End Phase Angle)) to calculate the Receiving End Voltage, The Receiving End Voltage using Transmission Efficiency (STL) formula is defined as the voltage we received at the end of the system. Receiving End Voltage is denoted by V_r symbol.

How to calculate Receiving End Voltage using Transmission Efficiency (STL) using this online calculator? To use this online calculator for Receiving End Voltage using Transmission Efficiency (STL), enter Transmission Efficiency (η), Sending End Voltage (V_s), Sending End Current (I_s), Sending End Phase Angle (Φ_s), Receiving End Current (I_r) & Receiving End Phase Angle (Φ_r) and hit the calculate button. Here is how the Receiving End Voltage using Transmission Efficiency (STL) calculation can be explained with given input values -> 682.9405 = 0.278*400*3.98*cos(0.5235987755982)/(3.9*cos(1.3089969389955)).

FAQ

What is Receiving End Voltage using Transmission Efficiency (STL)?

The Receiving End Voltage using Transmission Efficiency (STL) formula is defined as the voltage we received at the end of the system and is represented as V_r = η*V_s*I_s*cos(Φ_s)/(I_r*cos(Φ_r)) or Receiving End Voltage = Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*cos(Receiving End Phase Angle)). Transmission Efficiency is the total sideband power by the total transmitted power, Sending end voltage is the voltage at the sending end of a transmission line, Sending End Current is defined as the amount of current injected into a short transmission line from the source or injectors, Sending End Phase Angle is the difference between the phasors of current and voltage at thee sending 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 & Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line.

How to calculate Receiving End Voltage using Transmission Efficiency (STL)?

The Receiving End Voltage using Transmission Efficiency (STL) formula is defined as the voltage we received at the end of the system is calculated using Receiving End Voltage = Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*cos(Receiving End Phase Angle)). To calculate Receiving End Voltage using Transmission Efficiency (STL), you need Transmission Efficiency (η), Sending End Voltage (V_s), Sending End Current (I_s), Sending End Phase Angle (Φ_s), Receiving End Current (I_r) & Receiving End Phase Angle (Φ_r). With our tool, you need to enter the respective value for Transmission Efficiency, Sending End Voltage, Sending End Current, Sending End Phase Angle, Receiving End Current & Receiving End Phase Angle 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 Receiving End Voltage?

In this formula, Receiving End Voltage uses Transmission Efficiency, Sending End Voltage, Sending End Current, Sending End Phase Angle, Receiving End Current & Receiving End Phase Angle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Receiving End Voltage = Sending End Voltage-(Receiving End Current*Impedance)
Receiving End Voltage = Receiving End Power/(3*Receiving End Current*cos(Receiving End Phase Angle))

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