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Receiving End Current using Receiving End Power (STL) Formula

GoReceiving End Current using Transmission Efficiency (STL) Formula

GoReceiving End Current using Losses (STL) Formula

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Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line. Check FAQs

I r = \frac{P r}{3 \cdot V r \cdot \cos (Φ r)}

I_r - Receiving End Current?P_r - Receiving End Power?V_r - Receiving End Voltage?Φ_r - Receiving End Phase Angle?

Receiving End Current using Receiving End Power (STL) Example

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Here is how the Receiving End Current using Receiving End Power (STL) equation looks like with Values.

Here is how the Receiving End Current using Receiving End Power (STL) equation looks like with Units.

Here is how the Receiving End Current using Receiving End Power (STL) equation looks like.

3.8976 = \frac{1150}{3 \cdot 380 \cdot \cos (75)}

3.8976A = \frac{1150W}{3 \cdot 380V \cdot \cos (75°)}

3.8976 = \frac{1150}{3 \cdot 380 \cdot \cos (75)}

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Receiving End Current using Receiving End Power (STL) Solution

Follow our step by step solution on how to calculate Receiving End Current using Receiving End Power (STL)?

FIRST Step Consider the formula

I r = \frac{P r}{3 \cdot V r \cdot \cos (Φ r)}

Next Step Substitute values of Variables

∴

I r = \frac{1150W}{3 \cdot 380V \cdot \cos (75°)}

Next Step Convert Units

∴

I r = \frac{1150W}{3 \cdot 380V \cdot \cos (1.309rad)}

Next Step Prepare to Evaluate

∴

I r = \frac{1150}{3 \cdot 380 \cdot \cos (1.309)}

Next Step Evaluate

∴

I r = 3.89759543940844A

LAST Step Rounding Answer

∴

I r = 3.8976A

Receiving End Current using Receiving End Power (STL) Formula Elements

Variables

Functions

Receiving End Current

Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line.

Symbol: I_r

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Receiving End Current

Receiving End Power

Receiving End Power is defined as the power at receiving end in a short transmission line.

Symbol: P_r

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Receiving End Power

Receiving End Voltage

Receiving End Voltage is the voltage developed at the receiving end of a short transmission line.

Symbol: V_r

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Receiving End Voltage

Receiving End Phase Angle

Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line.

Symbol: Φ_r

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Receiving End Phase Angle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Receiving End Current

Go Receiving End Current using Transmission Efficiency (STL)

I r = η \cdot V s \cdot I s \cdot \frac{\cos (Φ s)}{V r \cdot \cos (Φ r)}

Go Receiving End Current using Losses (STL)

I r = \sqrt{\frac{P loss}{3 \cdot R}}

Go Receiving End Current using Sending End Angle (STL)

I r = \frac{(3 \cdot V s \cdot I s \cdot \cos (Φ s)) - P loss}{3 \cdot V r \cdot \cos (Φ r)}

Go Receiving End Current using Impedance (STL)

I r = \frac{V s - V r}{Z}

Other formulas in Current category

Go Sending End Current using Sending End Power (STL)

I s = \frac{P s}{3 \cdot V s \cdot \cos (Φ s)}

Go Sending End Current using Losses (STL)

I s = \frac{3 \cdot V r \cdot I r \cdot \cos (Φ r) + P loss}{3 \cdot V s \cdot \cos (Φ s)}

Go Sending End Current using Transmission Efficiency (STL)

I s = \frac{V r \cdot I r \cdot \cos (Φ r)}{η \cdot V s \cdot \cos (Φ s)}

Go Transmitted Current (SC Line)

I t = \frac{V t}{Z 0}

How to Evaluate Receiving End Current using Receiving End Power (STL)?

Receiving End Current using Receiving End Power (STL) evaluator uses Receiving End Current = Receiving End Power/(3*Receiving End Voltage*cos(Receiving End Phase Angle)) to evaluate the Receiving End Current, The Receiving End Current using Receiving End Power (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 evaluate Receiving End Current using Receiving End Power (STL) using this online evaluator? To use this online evaluator for Receiving End Current using Receiving End Power (STL), enter Receiving End Power (P_r), Receiving End Voltage (V_r) & Receiving End Phase Angle (Φ_r) and hit the calculate button.

FAQs on Receiving End Current using Receiving End Power (STL)

What is the formula to find Receiving End Current using Receiving End Power (STL)?

The formula of Receiving End Current using Receiving End Power (STL) is expressed as Receiving End Current = Receiving End Power/(3*Receiving End Voltage*cos(Receiving End Phase Angle)). Here is an example- 3.897595 = 1150/(3*380*cos(1.3089969389955)).

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

With Receiving End Power (P_r), Receiving End Voltage (V_r) & Receiving End Phase Angle (Φ_r) we can find Receiving End Current using Receiving End Power (STL) using the formula - Receiving End Current = Receiving End Power/(3*Receiving End Voltage*cos(Receiving End Phase Angle)). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Receiving End Current?

Here are the different ways to Calculate Receiving End Current-

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))

Can the Receiving End Current using Receiving End Power (STL) be negative?

Yes, the Receiving End Current using Receiving End Power (STL), measured in Electric Current can be negative.

Which unit is used to measure Receiving End Current using Receiving End Power (STL)?

Receiving End Current using Receiving End Power (STL) is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Receiving End Current using Receiving End Power (STL) can be measured.

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Receiving End Current using Receiving End Power (STL) Formula

​GoReceiving End Current using Transmission Efficiency (STL) Formula

​GoReceiving End Current using Losses (STL) Formula

Receiving End Current using Receiving End Power (STL) Example

Receiving End Current using Receiving End Power (STL) Solution

Receiving End Current using Receiving End Power (STL) Formula Elements

Other Formulas to find Receiving End Current

Other formulas in Current category

How to Evaluate Receiving End Current using Receiving End Power (STL)?

FAQs on Receiving End Current using Receiving End Power (STL)

Variable Name

GoReceiving End Current using Transmission Efficiency (STL) Formula

GoReceiving End Current using Losses (STL) Formula