Receiving End Current using Sending End Angle (STL) Calculator

✖Sending end voltage is the voltage at the sending end of a transmission line.ⓘ Sending End Voltage [V_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 [I_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%
✖Power Loss is defined as the deviation in the power transferred from sending end to receiving end of a short transmission line.ⓘ Power Loss [P_loss]			+10% -10%
✖Receiving end voltage is the voltage developed at the receiving end of a transmission line.ⓘ Receiving End Voltage [V_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 Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line.ⓘ Receiving End Current using Sending End Angle (STL) [I_r]

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Formula

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Receiving End Current using Sending End Angle (STL)

Formula

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

Example

`"3.850612A"=((3*"400V"*"3.98A"*cos("30°"))-"3000W")/(3*"380V"*cos("75°"))`

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Receiving End Current using Sending End Angle (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Receiving End Current = ((3*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle))-Power Loss)/(3*Receiving End Voltage*cos(Receiving End Phase Angle))
I_r = ((3*V_s*I_s*cos(Φ_s))-P_loss)/(3*V_r*cos(Φ_r))
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

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.
Sending End Voltage - (Measured in Volt) - Sending end voltage is the voltage at the sending end of a 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 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.
Power Loss - (Measured in Watt) - Power Loss is defined as the deviation in the power transferred from sending end to receiving end of 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 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

Sending End Voltage: 400 Volt --> 400 Volt No Conversion Required
Sending End Current: 3.98 Ampere --> 3.98 Ampere No Conversion Required
Sending End Phase Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Power Loss: 3000 Watt --> 3000 Watt No Conversion Required
Receiving End Voltage: 380 Volt --> 380 Volt No Conversion Required
Receiving End Phase Angle: 75 Degree --> 1.3089969389955 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_r = ((3*V_s*I_s*cos(Φ_s))-P_loss)/(3*V_r*cos(Φ_r)) --> ((3*400*3.98*cos(0.5235987755982))-3000)/(3*380*cos(1.3089969389955))

Evaluating ... ...

I_r = 3.85061188695984

STEP 3: Convert Result to Output's Unit

3.85061188695984 Ampere --> No Conversion Required

FINAL ANSWER

3.85061188695984 ≈ 3.850612 Ampere <-- Receiving End Current

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Short Line » Current » Receiving End Current using Sending End Angle (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!

< 9 Current Calculators

Sending End Current using Transmission Efficiency (STL)

Go 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 Current using Transmission Efficiency (STL)

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 Sending End Angle (STL)

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

Sending End Current using Losses (STL)

Go 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))

Receiving End Current using Receiving End Power (STL)

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

Sending End Current using Sending End Power (STL)

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

Receiving End Current using Impedance (STL)

Go Receiving End Current = (Sending End Voltage-Receiving End Voltage)/Impedance

Receiving End Current using Losses (STL)

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

Transmitted Current (SC Line)

Go Transmitted Current = Transmitted Voltage/Characteristic Impedance

Receiving End Current using Sending End Angle (STL) Formula

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 Receiving End Current using Sending End Angle (STL)?

Receiving End Current using Sending End Angle (STL) calculator uses Receiving End Current = ((3*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle))-Power Loss)/(3*Receiving End Voltage*cos(Receiving End Phase Angle)) to calculate the Receiving End Current, The Receiving End Current using Sending End Angle (STL) formula is defined as the current at receiving end side of the short transmission line. Receiving End Current is denoted by I_r symbol.

How to calculate Receiving End Current using Sending End Angle (STL) using this online calculator? To use this online calculator for Receiving End Current using Sending End Angle (STL), enter Sending End Voltage (V_s), Sending End Current (I_s), Sending End Phase Angle (Φ_s), Power Loss (P_loss), Receiving End Voltage (V_r) & Receiving End Phase Angle (Φ_r) and hit the calculate button. Here is how the Receiving End Current using Sending End Angle (STL) calculation can be explained with given input values -> 10.62904 = ((3*400*3.98*cos(0.5235987755982))-3000)/(3*380*cos(1.3089969389955)).

FAQ

What is Receiving End Current using Sending End Angle (STL)?

The Receiving End Current using Sending End Angle (STL) formula is defined as the current at receiving end side of the short transmission line and is represented as I_r = ((3*V_s*I_s*cos(Φ_s))-P_loss)/(3*V_r*cos(Φ_r)) or Receiving End Current = ((3*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle))-Power Loss)/(3*Receiving End Voltage*cos(Receiving End Phase Angle)). Sending end voltage is the voltage at the sending end of a transmission line, Sending End Current is defined as the amount of current injected into a short transmission line from the source or injectors, Sending End Phase Angle is the difference between the phasors of current and voltage at thee sending end of a short transmission line, Power Loss is defined as the deviation in the power transferred from sending end to receiving end of a short transmission line, Receiving end voltage is the voltage developed at the receiving end of a 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 Current using Sending End Angle (STL)?

The Receiving End Current using Sending End Angle (STL) formula is defined as the current at receiving end side of the short transmission line is calculated using Receiving End Current = ((3*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle))-Power Loss)/(3*Receiving End Voltage*cos(Receiving End Phase Angle)). To calculate Receiving End Current using Sending End Angle (STL), you need Sending End Voltage (V_s), Sending End Current (I_s), Sending End Phase Angle (Φ_s), Power Loss (P_loss), Receiving End Voltage (V_r) & Receiving End Phase Angle (Φ_r). With our tool, you need to enter the respective value for Sending End Voltage, Sending End Current, Sending End Phase Angle, Power Loss, Receiving End Voltage & 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.

How many ways are there to calculate Receiving End Current?

In this formula, Receiving End Current uses Sending End Voltage, Sending End Current, Sending End Phase Angle, Power Loss, Receiving End Voltage & Receiving End Phase Angle. We can use 4 other way(s) to calculate the same, which is/are as follows -

Receiving End Current = Receiving End Power/(3*Receiving End Voltage*(cos(Receiving End Phase Angle)))
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 = sqrt(Power Loss/(3*Resistance))
Receiving End Current = (Sending End Voltage-Receiving End Voltage)/Impedance

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