Sending End Current 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 Voltage is the voltage at the sending end of a short transmission line.ⓘ Sending End Voltage [V_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 Current is defined as the amount of current injected into a short transmission line from the source or injectors.ⓘ Sending End Current using Transmission Efficiency (STL) [I_s]

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Sending End Current using Transmission Efficiency (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sending End Current = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Voltage*cos(Sending End Phase Angle))
I_s = (V_r*I_r*cos(Φ_r))/(η*V_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 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.
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 Voltage - (Measured in Volt) - Sending End Voltage is the voltage at the sending end of a short transmission line.
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 Voltage: 400 Volt --> 400 Volt No Conversion Required
Sending End Phase Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_s = (V_r*I_r*cos(Φ_r))/(η*V_s*cos(Φ_s)) --> (380*3.9*cos(1.3089969389955))/(0.278*400*cos(0.5235987755982))

Evaluating ... ...

I_s = 3.98298815873585

STEP 3: Convert Result to Output's Unit

3.98298815873585 Ampere --> No Conversion Required

FINAL ANSWER

3.98298815873585 ≈ 3.982988 Ampere <-- Sending End Current

(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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< Current Calculators

Receiving End Current using Transmission Efficiency (STL)

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

Receiving End Current using Receiving End Power (STL)

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

Sending End Current using Sending End Power (STL)

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

Receiving End Current using Losses (STL)

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

Sending End Current using Transmission Efficiency (STL) Formula

LaTeX Go

What is short transmission line?

A short transmission line is defined as a transmission line with an effective length less than ₈₀ km (₅₀ miles), or with a voltage less than ₆₉ kV. Unlike medium transmission lines and long transmission lines, the line charging current is negligible, and hence the shunt capacitance can be ignored.

What is Voltage regulation?

In electrical engineering, particularly power engineering, voltage regulation is a measure of the change in the voltage magnitude between the sending and receiving end of a component, such as a transmission or distribution line. Voltage regulation describes the ability of a system to provide near-constant voltage over a wide range of load conditions. The term may refer to a passive property that results in more or less voltage drop under various load conditions, or to the active intervention with devices for the specific purpose of adjusting voltage.

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

Sending End Current using Transmission Efficiency (STL) calculator uses Sending End Current = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Voltage*cos(Sending End Phase Angle)) to calculate the Sending End Current, The Sending End Current using Transmission Efficiency (STL) is the current at the source end of the line, calculated by adding the load current to the line's charging current, which is negligible in short lines, thus often approximated as the same as the load current. Sending End Current is denoted by I_s symbol.

How to calculate Sending End Current using Transmission Efficiency (STL) using this online calculator? To use this online calculator for Sending End Current 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 Voltage (V_s) & Sending End Phase Angle (Φ_s) and hit the calculate button. Here is how the Sending End Current using Transmission Efficiency (STL) calculation can be explained with given input values -> 3.982988 = (380*3.9*cos(1.3089969389955))/(0.278*400*cos(0.5235987755982)).

FAQ

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

The Sending End Current using Transmission Efficiency (STL) is the current at the source end of the line, calculated by adding the load current to the line's charging current, which is negligible in short lines, thus often approximated as the same as the load current and is represented as I_s = (V_r*I_r*cos(Φ_r))/(η*V_s*cos(Φ_s)) or Sending End Current = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Voltage*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 Voltage is the voltage at the sending end of a short transmission line & 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 Current using Transmission Efficiency (STL)?

The Sending End Current using Transmission Efficiency (STL) is the current at the source end of the line, calculated by adding the load current to the line's charging current, which is negligible in short lines, thus often approximated as the same as the load current is calculated using Sending End Current = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Voltage*cos(Sending End Phase Angle)). To calculate Sending End Current 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 Voltage (V_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 Voltage & 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 Current?

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

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

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