Receiving End Power (STL) Calculator

✖Receiving end voltage is the voltage developed at the receiving end of a 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%

✖Receiving End Power is defined as the power at receiving end in a short transmission line.ⓘ Receiving End Power (STL) [P_r]

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Formula

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Receiving End Power (STL)

Formula

`"P"_{"r"} = 3*"V"_{"r"}*"I"_{"r"}*(cos("Φ"_{"r"}))`

Example

`"1150.709W"=3*"380V"*"3.9A"*(cos("75°"))`

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Receiving End Power (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Receiving End Power = 3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))
P_r = 3*V_r*I_r*(cos(Φ_r))
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

Receiving End Power - (Measured in Watt) - Receiving End Power is defined as the power at receiving end in a short transmission line.
Receiving End Voltage - (Measured in Volt) - Receiving end voltage is the voltage developed at the receiving end of a 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.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_r = 3*V_r*I_r*(cos(Φ_r)) --> 3*380*3.9*(cos(1.3089969389955))

Evaluating ... ...

P_r = 1150.70947452687

STEP 3: Convert Result to Output's Unit

1150.70947452687 Watt --> No Conversion Required

FINAL ANSWER

1150.70947452687 ≈ 1150.709 Watt <-- Receiving End Power

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Short Line » Power & Phase Difference » Receiving 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!

< 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

Receiving End Power (STL) Formula

Receiving End Power = 3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))
P_r = 3*V_r*I_r*(cos(Φ_r))

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.

How to Calculate Receiving End Power (STL)?

Receiving End Power (STL) calculator uses Receiving End Power = 3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle)) to calculate the Receiving End Power, The Receiving End Power (STL) formula is defined as the power at receiving end of the short transmission line. Receiving End Power is denoted by P_r symbol.

How to calculate Receiving End Power (STL) using this online calculator? To use this online calculator for Receiving End Power (STL), enter Receiving End Voltage (V_r), Receiving End Current (I_r) & Receiving End Phase Angle (Φ_r) and hit the calculate button. Here is how the Receiving End Power (STL) calculation can be explained with given input values -> 1150.709 = 3*380*3.9*(cos(1.3089969389955)).

FAQ

What is Receiving End Power (STL)?

The Receiving End Power (STL) formula is defined as the power at receiving end of the short transmission line and is represented as P_r = 3*V_r*I_r*(cos(Φ_r)) or Receiving End Power = 3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle)). Receiving end voltage is the voltage developed at the receiving end of a 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.

How to calculate Receiving End Power (STL)?

The Receiving End Power (STL) formula is defined as the power at receiving end of the short transmission line is calculated using Receiving End Power = 3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle)). To calculate Receiving End Power (STL), you need Receiving End Voltage (V_r), Receiving End Current (I_r) & Receiving End Phase Angle (Φ_r). With our tool, you need to enter the respective value for Receiving End Voltage, Receiving End Current & Receiving 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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