Sending End Voltage using Transmission Efficiency (STL) Calculator

✖Receiving End Voltage is the voltage developed at the receiving end of a short transmission line.ⓘ Receiving End Voltage [V_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%
✖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%
✖Transmission Efficiency in a short transmission line measures the ratio of power delivered to the load versus power sent from the source, typically high due to minimal losses.ⓘ Transmission Efficiency [η]			+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%

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

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Sending End Voltage using Transmission Efficiency (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sending End Voltage = Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Current*cos(Sending End Phase Angle))
V_s = V_r*I_r*(cos(Φ_r))/(η*I_s*cos(Φ_s))
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

Sending End Voltage - (Measured in Volt) - Sending End Voltage is the voltage at the sending end of a short transmission line.
Receiving End Voltage - (Measured in Volt) - Receiving End Voltage is the voltage developed 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.
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.
Transmission Efficiency - Transmission Efficiency in a short transmission line measures the ratio of power delivered to the load versus power sent from the source, typically high due to minimal losses.
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.

STEP 1: Convert Input(s) to Base Unit

Receiving End Voltage: 380 Volt --> 380 Volt No Conversion Required
Receiving End Current: 3.9 Ampere --> 3.9 Ampere No Conversion Required
Receiving End Phase Angle: 75 Degree --> 1.3089969389955 Radian (Check conversion here)
Transmission Efficiency: 0.278 --> 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = V_r*I_r*(cos(Φ_r))/(η*I_s*cos(Φ_s)) --> 380*3.9*(cos(1.3089969389955))/(0.278*3.98*cos(0.5235987755982))

Evaluating ... ...

V_s = 400.30031746089

STEP 3: Convert Result to Output's Unit

400.30031746089 Volt --> No Conversion Required

FINAL ANSWER

400.30031746089 ≈ 400.3003 Volt <-- Sending End Voltage

(Calculation completed in 00.004 seconds)

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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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< Voltage Calculators

Sending End Voltage using Power Factor(STL)

LaTeX 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)

LaTeX 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))

Sending End Voltage using Sending End Power (STL)

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

Sending End Voltage in Transmission Line

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

Sending End Voltage using Transmission Efficiency (STL) Formula

LaTeX Go

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.

What is short transmission line?

A short transmission line is a segment of a power line that's relatively brief in length compared to the wavelength of the signals it carries. Typically found in localized power distribution, it exhibits less complex behavior, often with negligible inductance and capacitance effects compared to longer lines.

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

Sending End Voltage using Transmission Efficiency (STL) calculator uses Sending End Voltage = Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Current*cos(Sending End Phase Angle)) to calculate the Sending End Voltage, The Sending End Voltage using Transmission Efficiency (STL) is the electrical potential difference at the source end of the line relative to the load voltage. In short lines, this voltage remains relatively constant due to minimal impedance effects, ensuring efficient power transfer with negligible voltage drop from source to load. Sending End Voltage is denoted by V_s symbol.

How to calculate Sending End Voltage using Transmission Efficiency (STL) using this online calculator? To use this online calculator for Sending End Voltage using Transmission Efficiency (STL), enter Receiving End Voltage (V_r), Receiving End Current (I_r), Receiving End Phase Angle (Φ_r), Transmission Efficiency (η), Sending End Current (I_s) & Sending End Phase Angle (Φ_s) and hit the calculate button. Here is how the Sending End Voltage using Transmission Efficiency (STL) calculation can be explained with given input values -> 400.3003 = 380*3.9*(cos(1.3089969389955))/(0.278*3.98*cos(0.5235987755982)).

FAQ

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

The Sending End Voltage using Transmission Efficiency (STL) is the electrical potential difference at the source end of the line relative to the load voltage. In short lines, this voltage remains relatively constant due to minimal impedance effects, ensuring efficient power transfer with negligible voltage drop from source to load and is represented as V_s = V_r*I_r*(cos(Φ_r))/(η*I_s*cos(Φ_s)) or 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 is the voltage developed 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, Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line, Transmission Efficiency in a short transmission line measures the ratio of power delivered to the load versus power sent from the source, typically high due to minimal losses, 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.

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

The Sending End Voltage using Transmission Efficiency (STL) is the electrical potential difference at the source end of the line relative to the load voltage. In short lines, this voltage remains relatively constant due to minimal impedance effects, ensuring efficient power transfer with negligible voltage drop from source to load is calculated using Sending End Voltage = Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Current*cos(Sending End Phase Angle)). To calculate Sending End Voltage using Transmission Efficiency (STL), you need Receiving End Voltage (V_r), Receiving End Current (I_r), Receiving End Phase Angle (Φ_r), Transmission Efficiency (η), Sending End Current (I_s) & Sending End Phase Angle (Φ_s). With our tool, you need to enter the respective value for Receiving End Voltage, Receiving End Current, Receiving End Phase Angle, Transmission Efficiency, Sending End Current & Sending 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 Sending End Voltage?

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

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

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