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Sending End Current using Transmission Efficiency (STL) Formula

GoSending End Current using Sending End Power (STL) Formula

GoSending End Current using Losses (STL) Formula

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

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

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

Sending End Current using Transmission Efficiency (STL) Example

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

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

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

3.983 = \frac{380 \cdot 3.9 \cdot \cos (75)}{0.278 \cdot 400 \cdot \cos (30)}

3.983A = \frac{380V \cdot 3.9A \cdot \cos (75°)}{0.278 \cdot 400V \cdot \cos (30°)}

3.983 = \frac{380 \cdot 3.9 \cdot \cos (75)}{0.278 \cdot 400 \cdot \cos (30)}

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Sending End Current using Transmission Efficiency (STL) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I s = \frac{380V \cdot 3.9A \cdot \cos (75°)}{0.278 \cdot 400V \cdot \cos (30°)}

Next Step Convert Units

∴

I s = \frac{380V \cdot 3.9A \cdot \cos (1.309rad)}{0.278 \cdot 400V \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

I s = \frac{380 \cdot 3.9 \cdot \cos (1.309)}{0.278 \cdot 400 \cdot \cos (0.5236)}

Next Step Evaluate

∴

I s = 3.98298815873585A

LAST Step Rounding Answer

∴

I s = 3.983A

Sending End Current using Transmission Efficiency (STL) Formula Elements

Variables

Functions

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

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 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 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

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 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

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 Sending End Current

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)}

Other formulas in Current category

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 Transmission Efficiency (STL)

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

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

Sending End Current using Transmission Efficiency (STL) evaluator uses Sending End Current = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Voltage*cos(Sending End Phase Angle)) to evaluate the Sending End Current, The Sending End Current using Transmission Efficiency (STL) is the current at the source end of the line, calculated by adding the load current to the line's charging current, which is negligible in short lines, thus often approximated as the same as the load current. Sending End Current is denoted by I_s symbol.

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

FAQs on Sending End Current using Transmission Efficiency (STL)

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

The formula of Sending End Current using Transmission Efficiency (STL) is expressed as Sending End Current = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Voltage*cos(Sending End Phase Angle)). Here is an example- 3.982988 = (380*3.9*cos(1.3089969389955))/(0.278*400*cos(0.5235987755982)).

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

With Receiving End Voltage (V_r), Receiving End Current (I_r), Receiving End Phase Angle (Φ_r), Transmission Efficiency (η), Sending End Voltage (V_s) & Sending End Phase Angle (Φ_s) we can find Sending End Current using Transmission Efficiency (STL) using the formula - Sending End Current = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Voltage*cos(Sending End Phase Angle)). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Sending End Current?

Here are the different ways to Calculate Sending End Current-

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

Can the Sending End Current using Transmission Efficiency (STL) be negative?

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

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

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

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Sending End Current using Transmission Efficiency (STL) Formula

​GoSending End Current using Sending End Power (STL) Formula

​GoSending End Current using Losses (STL) Formula

Sending End Current using Transmission Efficiency (STL) Example

Sending End Current using Transmission Efficiency (STL) Solution

Sending End Current using Transmission Efficiency (STL) Formula Elements

Other Formulas to find Sending End Current

Other formulas in Current category

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

FAQs on Sending End Current using Transmission Efficiency (STL)

Variable Name

GoSending End Current using Sending End Power (STL) Formula

GoSending End Current using Losses (STL) Formula