Sending End Current using Losses (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%
✖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%
✖Sending end voltage is the voltage at the sending end of a 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 Losses (STL) [I_s]

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Formula

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Sending End Current using Losses (STL)

Formula

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

Example

`"3.994022A"=(3*"380V"*"3.9A"*cos("75°")+"3000W")/(3*"400V"*cos("30°"))`

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Sending End Current using Losses (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
I_s = (3*V_r*I_r*cos(Φ_r)+P_loss)/(3*V_s*cos(Φ_s))
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

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.
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.
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.
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

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)
Power Loss: 3000 Watt --> 3000 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 = (3*V_r*I_r*cos(Φ_r)+P_loss)/(3*V_s*cos(Φ_s)) --> (3*380*3.9*cos(1.3089969389955)+3000)/(3*400*cos(0.5235987755982))

Evaluating ... ...

I_s = 3.9940220540767

STEP 3: Convert Result to Output's Unit

3.9940220540767 Ampere --> No Conversion Required

FINAL ANSWER

3.9940220540767 ≈ 3.994022 Ampere <-- Sending End Current

(Calculation completed in 00.004 seconds)

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

Sending End Current using Losses (STL) Formula

What are losses of short transmission lines?

Short transmission lines incur losses primarily due to conductor resistance, dielectric losses in insulation, and leakage losses. Conductor resistance leads to I²R losses, while dielectric losses occur from the insulating materials. Leakage losses stem from the electric field extending beyond the line, dissipating energy.

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

Sending End Current using Losses (STL) calculator uses 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)) to calculate the Sending End Current, The Sending End Current using Losses (STL) formula is defined as the current that flows into the sending end of the system. Sending End Current is denoted by I_s symbol.

How to calculate Sending End Current using Losses (STL) using this online calculator? To use this online calculator for Sending End Current using Losses (STL), enter Receiving End Voltage (V_r), Receiving End Current (I_r), Receiving End Phase Angle (Φ_r), Power Loss (P_loss), Sending End Voltage (V_s) & Sending End Phase Angle (Φ_s) and hit the calculate button. Here is how the Sending End Current using Losses (STL) calculation can be explained with given input values -> 2.069521 = (3*380*3.9*cos(1.3089969389955)+3000)/(3*400*cos(0.5235987755982)).

FAQ

What is Sending End Current using Losses (STL)?

The Sending End Current using Losses (STL) formula is defined as the current that flows into the sending end of the system and is represented as I_s = (3*V_r*I_r*cos(Φ_r)+P_loss)/(3*V_s*cos(Φ_s)) or 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 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, Power Loss is defined as the deviation in the power transferred from sending end to receiving end of a short transmission line, 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 Current using Losses (STL)?

The Sending End Current using Losses (STL) formula is defined as the current that flows into the sending end of the system is calculated using 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)). To calculate Sending End Current using Losses (STL), you need Receiving End Voltage (V_r), Receiving End Current (I_r), Receiving End Phase Angle (Φ_r), Power Loss (P_loss), Sending End Voltage (V_s) & Sending End Phase Angle (Φ_s). With our tool, you need to enter the respective value for Receiving End Voltage, Receiving End Current, Receiving End Phase Angle, Power Loss, 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 Receiving End Voltage, Receiving End Current, Receiving End Phase Angle, Power Loss, 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 = Sending End Power/(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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