Receiving End Current using Losses (STL) Calculator

✖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%
✖Resistance is defined as a measure of the opposition to current flow in a short transmission line.ⓘ Resistance [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 Losses (STL) [I_r]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Short Line Formulas PDF PDF Image

Receiving End Current using Losses (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Receiving End Current = sqrt(Power Loss/(3*Resistance))
I_r = sqrt(P_loss/(3*R))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.
Resistance - (Measured in Ohm) - Resistance is defined as a measure of the opposition to current flow in a short transmission line.

STEP 1: Convert Input(s) to Base Unit

Power Loss: 3000 Watt --> 3000 Watt No Conversion Required
Resistance: 65.7 Ohm --> 65.7 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_r = sqrt(P_loss/(3*R)) --> sqrt(3000/(3*65.7))

Evaluating ... ...

I_r = 3.90137157320435

STEP 3: Convert Result to Output's Unit

3.90137157320435 Ampere --> No Conversion Required

FINAL ANSWER

3.90137157320435 ≈ 3.901372 Ampere <-- Receiving End Current

(Calculation completed in 00.021 seconds)

You are here -

Home » Engineering » Electrical » Power System » Transmission Lines » Short Line » Current » Receiving 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 Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Current Calculators

Receiving End Current using Transmission Efficiency (STL)

LaTeX 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 Receiving End Power (STL)

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

Sending End Current using Sending End Power (STL)

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

Receiving End Current using Losses (STL)

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

Receiving End Current using Losses (STL) Formula

LaTeX Go

Receiving End Current = sqrt(Power Loss/(3*Resistance))
I_r = sqrt(P_loss/(3*R))

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 Losses (STL)?

Receiving End Current using Losses (STL) calculator uses Receiving End Current = sqrt(Power Loss/(3*Resistance)) to calculate the Receiving End Current, The Receiving End Current using Losses (STL) is the current that flows into the load connected at the end of the line, considering line impedance negligible. It is determined by the receiving end voltage and load impedance, typically calculated using Ohm's law. Receiving End Current is denoted by I_r symbol.

How to calculate Receiving End Current using Losses (STL) using this online calculator? To use this online calculator for Receiving End Current using Losses (STL), enter Power Loss (P_loss) & Resistance (R) and hit the calculate button. Here is how the Receiving End Current using Losses (STL) calculation can be explained with given input values -> 6.454972 = sqrt(3000/(3*65.7)).

FAQ

What is Receiving End Current using Losses (STL)?

The Receiving End Current using Losses (STL) is the current that flows into the load connected at the end of the line, considering line impedance negligible. It is determined by the receiving end voltage and load impedance, typically calculated using Ohm's law and is represented as I_r = sqrt(P_loss/(3*R)) or Receiving End Current = sqrt(Power Loss/(3*Resistance)). Power Loss is defined as the deviation in the power transferred from sending end to receiving end of a short transmission line & Resistance is defined as a measure of the opposition to current flow in a short transmission line.

How to calculate Receiving End Current using Losses (STL)?

The Receiving End Current using Losses (STL) is the current that flows into the load connected at the end of the line, considering line impedance negligible. It is determined by the receiving end voltage and load impedance, typically calculated using Ohm's law is calculated using Receiving End Current = sqrt(Power Loss/(3*Resistance)). To calculate Receiving End Current using Losses (STL), you need Power Loss (P_loss) & Resistance (R). With our tool, you need to enter the respective value for Power Loss & Resistance 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 Power Loss & Resistance. We can use 3 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 = ((3*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle))-Power Loss)/(3*Receiving End Voltage*cos(Receiving End Phase Angle))

Home

FREE PDFs

🔍 Search