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Receiving End Current using Transmission Efficiency (STL) Formula

GoReceiving End Current using Receiving End Power (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 = η \cdot V s \cdot I s \cdot \frac{\cos (Φ s)}{V r \cdot \cos (Φ r)}

I_r - Receiving End Current?η - Transmission Efficiency?V_s - Sending End Voltage?I_s - Sending End Current?Φ_s - Sending End Phase Angle?V_r - Receiving End Voltage?Φ_r - Receiving End Phase Angle?

Receiving End Current using Transmission Efficiency (STL) Example

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

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

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

3.8971 = 0.278 \cdot 400 \cdot 3.98 \cdot \frac{\cos (30)}{380 \cdot \cos (75)}

3.8971A = 0.278 \cdot 400V \cdot 3.98A \cdot \frac{\cos (30°)}{380V \cdot \cos (75°)}

3.8971 = 0.278 \cdot 400 \cdot 3.98 \cdot \frac{\cos (30)}{380 \cdot \cos (75)}

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Receiving End Current using Transmission Efficiency (STL) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I r = 0.278 \cdot 400V \cdot 3.98A \cdot \frac{\cos (30°)}{380V \cdot \cos (75°)}

Next Step Convert Units

∴

I r = 0.278 \cdot 400V \cdot 3.98A \cdot \frac{\cos (0.5236rad)}{380V \cdot \cos (1.309rad)}

Next Step Prepare to Evaluate

∴

I r = 0.278 \cdot 400 \cdot 3.98 \cdot \frac{\cos (0.5236)}{380 \cdot \cos (1.309)}

Next Step Evaluate

∴

I r = 3.89707410150234A

LAST Step Rounding Answer

∴

I r = 3.8971A

Receiving End Current using Transmission Efficiency (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

Transmission Efficiency

Transmission Efficiency in a short transmission line measures the ratio of power delivered to the load versus power sent from the source, typically high due to minimal losses.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Transmission Efficiency

Sending End Voltage

Sending End Voltage is the voltage at the sending end of a short transmission line.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Sending End Voltage

Sending End Current

Sending End Current is defined as the amount of current injected into a short transmission line from the source or injectors.

Symbol: I_s

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Sending End Current

Sending End Phase Angle

Sending End Phase Angle is the difference between the phasors of current and voltage at thee sending end of a short transmission line.

Symbol: Φ_s

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Sending End Phase Angle

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 Receiving End Power (STL)

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

Go Receiving End Current using Losses (STL)

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

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)}

How to Evaluate Receiving End Current using Transmission Efficiency (STL)?

Receiving End Current using Transmission Efficiency (STL) evaluator uses Receiving End Current = Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Voltage*cos(Receiving End Phase Angle)) to evaluate the Receiving End Current, The Receiving End Current using Transmission Efficiency (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 Transmission Efficiency (STL) using this online evaluator? To use this online evaluator for Receiving End Current using Transmission Efficiency (STL), enter Transmission Efficiency (η), Sending End Voltage (V_s), Sending End Current (I_s), Sending End Phase Angle (Φ_s), Receiving End Voltage (V_r) & Receiving End Phase Angle (Φ_r) and hit the calculate button.

FAQs on Receiving End Current using Transmission Efficiency (STL)

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

The formula of Receiving End Current using Transmission Efficiency (STL) is expressed as Receiving End Current = Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Voltage*cos(Receiving End Phase Angle)). Here is an example- 7.009126 = 0.278*400*3.98*cos(0.5235987755982)/(380*cos(1.3089969389955)).

How to calculate Receiving End Current using Transmission Efficiency (STL)?

With Transmission Efficiency (η), Sending End Voltage (V_s), Sending End Current (I_s), Sending End Phase Angle (Φ_s), Receiving End Voltage (V_r) & Receiving End Phase Angle (Φ_r) we can find Receiving End Current using Transmission Efficiency (STL) using the formula - Receiving End Current = Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(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=Receiving End Power/(3*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 Transmission Efficiency (STL) be negative?

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

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

Receiving End Current using Transmission Efficiency (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 Transmission Efficiency (STL) can be measured.

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Receiving End Current using Transmission Efficiency (STL) Formula

​GoReceiving End Current using Receiving End Power (STL) Formula

​GoReceiving End Current using Losses (STL) Formula

Receiving End Current using Transmission Efficiency (STL) Example

Receiving End Current using Transmission Efficiency (STL) Solution

Receiving End Current using Transmission Efficiency (STL) Formula Elements

Other Formulas to find Receiving End Current

Other formulas in Current category

How to Evaluate Receiving End Current using Transmission Efficiency (STL)?

FAQs on Receiving End Current using Transmission Efficiency (STL)

Variable Name

GoReceiving End Current using Receiving End Power (STL) Formula

GoReceiving End Current using Losses (STL) Formula