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]

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Formula

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Receiving End Current using Losses (STL)

Formula

`"I"_{"r"} = sqrt("P"_{"loss"}/(3*"R"))`

Example

`"3.901372A"=sqrt("3000W"/(3*"65.7Ω"))`

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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 00.020 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Birsa Institute of Technology (BIT), Sindri

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< 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 Losses (STL) Formula

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) formula is defined as the current that flows into the receiving side of the system. 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) formula is defined as the current that flows into the receiving side of the system 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) formula is defined as the current that flows into the receiving side of the system 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 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 = ((3*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle))-Power Loss)/(3*Receiving End Voltage*cos(Receiving End Phase Angle))
Receiving End Current = (Sending End Voltage-Receiving End Voltage)/Impedance

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