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%
✖Sending End Voltage is the voltage at the sending end of a short 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%

✖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 (STL) [η]

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Transmission Efficiency (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
Sending End Voltage - (Measured in Volt) - Sending End Voltage is the voltage at the sending end of a short 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.

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)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = (V_r*I_r*cos(Φ_r))/(V_s*I_s*cos(Φ_s)) --> (380*3.9*cos(1.3089969389955))/(400*3.98*cos(0.5235987755982))

Evaluating ... ...

η = 0.278208720635318

STEP 3: Convert Result to Output's Unit

0.278208720635318 --> No Conversion Required

FINAL ANSWER

0.278208720635318 ≈ 0.278209 <-- Transmission Efficiency

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Osmania University (OU), Hyderabad

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< Line Parameters Calculators

Losses using Transmission Efficiency (STL)

LaTeX Go Power Loss = ((3*Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/Transmission Efficiency)-(3*Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))

Transmission Efficiency (STL)

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

Voltage Regulation in Transmission Line

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

Resistance using Losses (STL)

LaTeX Go Resistance = Power Loss/(3*Receiving End Current^2)

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.

How to Calculate Transmission Efficiency (STL)?

Transmission Efficiency (STL) calculator uses Transmission Efficiency = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)) to calculate the Transmission Efficiency, The Transmission Efficiency (STL) involves the efficient conveyance of electrical energy over a brief distance, typically from a source to a load. With minimal impedance effects due to the line's short length, transmission facilitates effective power transfer with negligible losses and minimal voltage drop. Transmission Efficiency is denoted by η symbol.

How to calculate Transmission Efficiency (STL) using this online calculator? To use this online calculator for Transmission Efficiency (STL), enter Receiving End Voltage (V_r), Receiving End Current (I_r), Receiving End Phase Angle (Φ_r), Sending End Voltage (V_s), Sending End Current (I_s) & Sending End Phase Angle (Φ_s) and hit the calculate button. Here is how the Transmission Efficiency (STL) calculation can be explained with given input values -> 0.278209 = (380*3.9*cos(1.3089969389955))/(400*3.98*cos(0.5235987755982)).

FAQ

What is Transmission Efficiency (STL)?

The Transmission Efficiency (STL) involves the efficient conveyance of electrical energy over a brief distance, typically from a source to a load. With minimal impedance effects due to the line's short length, transmission facilitates effective power transfer with negligible losses and minimal voltage drop and is represented as η = (V_r*I_r*cos(Φ_r))/(V_s*I_s*cos(Φ_s)) or Transmission Efficiency = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Sending End Voltage*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, Sending End Voltage is the voltage at the sending end of a short 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.

How to calculate Transmission Efficiency (STL)?

The Transmission Efficiency (STL) involves the efficient conveyance of electrical energy over a brief distance, typically from a source to a load. With minimal impedance effects due to the line's short length, transmission facilitates effective power transfer with negligible losses and minimal voltage drop is calculated using Transmission Efficiency = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)). To calculate Transmission Efficiency (STL), you need Receiving End Voltage (V_r), Receiving End Current (I_r), Receiving End Phase Angle (Φ_r), Sending End Voltage (V_s), 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, Sending End Voltage, 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.

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