Sending End Current using Sending End Power (STL) Calculator

✖Sending End Power is defined as the power at receiving end of a short transmission line.ⓘ Sending End Power [P_s]			+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 Sending End Power (STL) [I_s]

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Sending End Current using Sending End Power (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sending End Current = Sending End Power/(3*Sending End Voltage*cos(Sending End Phase Angle))
I_s = P_s/(3*V_s*cos(Φ_s))
This formula uses 1 Functions, 4 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.
Sending End Power - (Measured in Watt) - Sending End Power is defined as the power at 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 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

Sending End Power: 4136 Watt --> 4136 Watt 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 = P_s/(3*V_s*cos(Φ_s)) --> 4136/(3*400*cos(0.5235987755982))

Evaluating ... ...

I_s = 3.97986785561382

STEP 3: Convert Result to Output's Unit

3.97986785561382 Ampere --> No Conversion Required

FINAL ANSWER

3.97986785561382 ≈ 3.979868 Ampere <-- Sending End Current

(Calculation completed in 00.020 seconds)

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

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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 Sending End Power (STL) Formula

LaTeX Go

Sending End Current = Sending End Power/(3*Sending End Voltage*cos(Sending End Phase Angle))
I_s = P_s/(3*V_s*cos(Φ_s))

What is the significance of Short-Circuited Line for Travelling Waves?

A short-circuited line for traveling waves serves as a reflective boundary where incident waves encounter impedance mismatch, causing wave reflection. Understanding this scenario aids in studying wave behavior, impedance transformations, and signal reflections, crucial in transmission line analysis and designing impedance matching networks.

How to Calculate Sending End Current using Sending End Power (STL)?

Sending End Current using Sending End Power (STL) calculator uses Sending End Current = Sending End Power/(3*Sending End Voltage*cos(Sending End Phase Angle)) to calculate the Sending End Current, The Sending End Current using Sending End Power (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 Sending End Power (STL) using this online calculator? To use this online calculator for Sending End Current using Sending End Power (STL), enter Sending End Power (P_s), Sending End Voltage (V_s) & Sending End Phase Angle (Φ_s) and hit the calculate button. Here is how the Sending End Current using Sending End Power (STL) calculation can be explained with given input values -> 0.19245 = 4136/(3*400*cos(0.5235987755982)).

FAQ

What is Sending End Current using Sending End Power (STL)?

The Sending End Current using Sending End Power (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 = P_s/(3*V_s*cos(Φ_s)) or Sending End Current = Sending End Power/(3*Sending End Voltage*cos(Sending End Phase Angle)). Sending End Power is defined as the power at receiving end of a short transmission line, 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 Sending End Power (STL)?

The Sending End Current using Sending End Power (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 = Sending End Power/(3*Sending End Voltage*cos(Sending End Phase Angle)). To calculate Sending End Current using Sending End Power (STL), you need Sending End Power (P_s), Sending End Voltage (V_s) & Sending End Phase Angle (Φ_s). With our tool, you need to enter the respective value for Sending End Power, 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 Sending End Power, 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 = (3*Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle)+Power Loss)/(3*Sending End Voltage*cos(Sending End Phase Angle))
Sending End Current = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Voltage*cos(Sending End Phase Angle))

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