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)
Ps = 3*Is*Vs*cos(Φs)
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 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
Ps = 3*Is*Vs*cos(Φs) --> 3*3.98*400*cos(0.5235987755982)
Evaluating ... ...
Ps = 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)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
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8 Power & Phase Difference Calculators

Receiving End Angle using Transmission Efficiency (STL)
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)
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))
Sending End Angle using Receiving End Parameters (STL)
Go Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage)
Receiving End Angle using Receiving End Power (STL)
Go Receiving End Phase Angle = acos(Receiving End Power/(3*Receiving End Voltage*Receiving End Current))
Receiving End Power (STL)
Go Receiving End Power = 3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))
Sending End Angle using Sending End Power (STL)
Go Sending End Phase Angle = acos(Sending End Power/(Sending End Voltage*Sending End Current*3))
Sending End Power (STL)
Go Sending End Power = 3*Sending End Current*Sending End Voltage*cos(Sending End Phase Angle)
Transmitted Current (SC Line)
Go Transmitted Current = Transmitted Voltage/Characteristic Impedance

Sending End Power (STL) Formula

Sending End Power = 3*Sending End Current*Sending End Voltage*cos(Sending End Phase Angle)
Ps = 3*Is*Vs*cos(Φs)

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) formula is defined as the power at sending end of the short transmission line. Sending End Power is denoted by Ps 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 (Is), Sending End Voltage (Vs) & Sending End Phase Angle 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) formula is defined as the power at sending end of the short transmission line and is represented as Ps = 3*Is*Vs*cos(Φs) 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 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) formula is defined as the power at sending end of the short transmission line 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 (Is), Sending End Voltage (Vs) & Sending End Phase Angle 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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