Sending End Power (STL) Calculator

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

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Sending End Power (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sending End Power = 3*Sending End Current*Sending End Voltage*cos(Sending End Phase Angle)
P_s = 3*I_s*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 Power - (Measured in Watt) - Sending End Power is defined as the power at receiving 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 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 Current: 3.98 Ampere --> 3.98 Ampere 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

P_s = 3*I_s*V_s*cos(Φ_s) --> 3*3.98*400*cos(0.5235987755982)

Evaluating ... ...

P_s = 4136.13732847448

STEP 3: Convert Result to Output's Unit

4136.13732847448 Watt --> No Conversion Required

FINAL ANSWER

4136.13732847448 ≈ 4136.137 Watt <-- Sending End Power

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Short Line » Power and Phase Difference » Sending End Power (STL)

Credits

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

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< Power and Phase Difference Calculators

Receiving End Angle using Transmission Efficiency (STL)

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

Receiving End Angle using Losses (STL)

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

Receiving End Power (STL)

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

Transmitted Current (SC Line)

LaTeX Go Transmitted Current = Transmitted Voltage/Characteristic Impedance

Sending End Power (STL) Formula

LaTeX Go

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

What are the applications of short transmission lines?

Short transmission lines find applications in localized power distribution, such as within buildings, industrial facilities, and short-distance connections. They're used in small-scale power networks, connecting generators, transformers, and loads where shorter distances and lower voltage levels are involved, often within a limited geographical area.

How to Calculate Sending End Power (STL)?

Sending End Power (STL) calculator uses Sending End Power = 3*Sending End Current*Sending End Voltage*cos(Sending End Phase Angle) to calculate the Sending End Power, The Sending End Power (STL) is the phase angle of the voltage at the source end relative to the load voltage. In short lines, this angle is typically small due to negligible reactive components, indicating minimal phase shift and efficient power transfer from the source to the load. Sending End Power is denoted by P_s symbol.

How to calculate Sending End Power (STL) using this online calculator? To use this online calculator for Sending End Power (STL), enter Sending End Current (I_s), Sending End Voltage (V_s) & Sending End Phase Angle (Φ_s) and hit the calculate button. Here is how the Sending End Power (STL) calculation can be explained with given input values -> 4136.137 = 3*3.98*400*cos(0.5235987755982).

FAQ

What is Sending End Power (STL)?

The Sending End Power (STL) is the phase angle of the voltage at the source end relative to the load voltage. In short lines, this angle is typically small due to negligible reactive components, indicating minimal phase shift and efficient power transfer from the source to the load and is represented as P_s = 3*I_s*V_s*cos(Φ_s) or Sending End Power = 3*Sending End Current*Sending End Voltage*cos(Sending End Phase Angle). Sending End Current is defined as the amount of current injected into a short transmission line from the source or injectors, 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 Power (STL)?

The Sending End Power (STL) is the phase angle of the voltage at the source end relative to the load voltage. In short lines, this angle is typically small due to negligible reactive components, indicating minimal phase shift and efficient power transfer from the source to the load is calculated using Sending End Power = 3*Sending End Current*Sending End Voltage*cos(Sending End Phase Angle). To calculate Sending End Power (STL), you need Sending End Current (I_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 Current, 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.

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