Receiving End Current using Impedance (STL) Calculator

✖Sending end voltage is the voltage at the sending end of a transmission line.ⓘ Sending End Voltage [V_s]			+10% -10%
✖Receiving end voltage is the voltage developed at the receiving end of a transmission line.ⓘ Receiving End Voltage [V_r]			+10% -10%
✖Impedance is defined as the amount of opposition faced by the direct or alternating current when it passes through a short transmission line.ⓘ Impedance [Z]			+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 Impedance (STL) [I_r]

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Receiving End Current using Impedance (STL)

Formula

`"I"_{"r"} = ("V"_{"s"}-"V"_{"r"})/"Z"`

Example

`"3.90625A"=("400V"-"380V")/"5.12Ω"`

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Receiving End Current using Impedance (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Receiving End Current = (Sending End Voltage-Receiving End Voltage)/Impedance
I_r = (V_s-V_r)/Z
This formula uses 4 Variables

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.
Receiving End Voltage - (Measured in Volt) - Receiving end voltage is the voltage developed at the receiving end of a transmission line.
Impedance - (Measured in Ohm) - Impedance is defined as the amount of opposition faced by the direct or alternating current when it passes through a short transmission line.

STEP 1: Convert Input(s) to Base Unit

Sending End Voltage: 400 Volt --> 400 Volt No Conversion Required
Receiving End Voltage: 380 Volt --> 380 Volt No Conversion Required
Impedance: 5.12 Ohm --> 5.12 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_r = (V_s-V_r)/Z --> (400-380)/5.12

Evaluating ... ...

I_r = 3.90625

STEP 3: Convert Result to Output's Unit

3.90625 Ampere --> No Conversion Required

FINAL ANSWER

3.90625 Ampere <-- Receiving End Current

(Calculation completed in 00.004 seconds)

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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

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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 Impedance (STL) Formula

Receiving End Current = (Sending End Voltage-Receiving End Voltage)/Impedance
I_r = (V_s-V_r)/Z

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 Current using Impedance (STL)?

Receiving End Current using Impedance (STL) calculator uses Receiving End Current = (Sending End Voltage-Receiving End Voltage)/Impedance to calculate the Receiving End Current, The Receiving End Current using Impedance (STL) formula is defined as the current that flows into the receiving end of the system. Receiving End Current is denoted by I_r symbol.

How to calculate Receiving End Current using Impedance (STL) using this online calculator? To use this online calculator for Receiving End Current using Impedance (STL), enter Sending End Voltage (V_s), Receiving End Voltage (V_r) & Impedance (Z) and hit the calculate button. Here is how the Receiving End Current using Impedance (STL) calculation can be explained with given input values -> 3.90625 = (400-380)/5.12.

FAQ

What is Receiving End Current using Impedance (STL)?

The Receiving End Current using Impedance (STL) formula is defined as the current that flows into the receiving end of the system and is represented as I_r = (V_s-V_r)/Z or Receiving End Current = (Sending End Voltage-Receiving End Voltage)/Impedance. Sending end voltage is the voltage at the sending end of a transmission line, Receiving end voltage is the voltage developed at the receiving end of a transmission line & Impedance is defined as the amount of opposition faced by the direct or alternating current when it passes through a short transmission line.

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

The Receiving End Current using Impedance (STL) formula is defined as the current that flows into the receiving end of the system is calculated using Receiving End Current = (Sending End Voltage-Receiving End Voltage)/Impedance. To calculate Receiving End Current using Impedance (STL), you need Sending End Voltage (V_s), Receiving End Voltage (V_r) & Impedance (Z). With our tool, you need to enter the respective value for Sending End Voltage, Receiving End Voltage & Impedance 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, Receiving End Voltage & Impedance. 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 = ((3*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle))-Power Loss)/(3*Receiving End Voltage*cos(Receiving End Phase Angle))

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