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Sending End Current using Losses (STL) Formula

GoSending End Current using Sending End Power (STL) Formula

GoSending End Current using Transmission Efficiency (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{3 \cdot V r \cdot I r \cdot \cos (Φ r) + P loss}{3 \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?P_loss - Power Loss?V_s - Sending End Voltage?Φ_s - Sending End Phase Angle?

Sending End Current using Losses (STL) Example

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

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

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

3.994 = \frac{3 \cdot 380 \cdot 3.9 \cdot \cos (75) + 3000}{3 \cdot 400 \cdot \cos (30)}

3.994A = \frac{3 \cdot 380V \cdot 3.9A \cdot \cos (75°) + 3000W}{3 \cdot 400V \cdot \cos (30°)}

3.994 = \frac{3 \cdot 380 \cdot 3.9 \cdot \cos (75) + 3000}{3 \cdot 400 \cdot \cos (30)}

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Sending End Current using Losses (STL) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I s = \frac{3 \cdot 380V \cdot 3.9A \cdot \cos (75°) + 3000W}{3 \cdot 400V \cdot \cos (30°)}

Next Step Convert Units

∴

I s = \frac{3 \cdot 380V \cdot 3.9A \cdot \cos (1.309rad) + 3000W}{3 \cdot 400V \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

I s = \frac{3 \cdot 380 \cdot 3.9 \cdot \cos (1.309) + 3000}{3 \cdot 400 \cdot \cos (0.5236)}

Next Step Evaluate

∴

I s = 3.9940220540767A

LAST Step Rounding Answer

∴

I s = 3.994A

Sending End Current using Losses (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

Power Loss

Power Loss is defined as the deviation in the power transferred from sending end to receiving end of a short transmission line.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Loss

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 Transmission Efficiency (STL)

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

Sending End Current using Losses (STL) evaluator uses 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)) to evaluate the Sending End Current, The Sending End Current using Losses (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 Losses (STL) using this online evaluator? To use this online evaluator for Sending End Current using Losses (STL), enter Receiving End Voltage (V_r), Receiving End Current (I_r), Receiving End Phase Angle (Φ_r), Power Loss (P_loss), Sending End Voltage (V_s) & Sending End Phase Angle (Φ_s) and hit the calculate button.

FAQs on Sending End Current using Losses (STL)

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

The formula of Sending End Current using Losses (STL) is expressed as 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)). Here is an example- 2.069521 = (3*380*3.9*cos(1.3089969389955)+3000)/(3*400*cos(0.5235987755982)).

How to calculate Sending End Current using Losses (STL)?

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

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

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

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

Sending End Current using Losses (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 Losses (STL) can be measured.

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Sending End Current using Losses (STL) Formula

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

​GoSending End Current using Transmission Efficiency (STL) Formula

Sending End Current using Losses (STL) Example

Sending End Current using Losses (STL) Solution

Sending End Current using Losses (STL) Formula Elements

Other Formulas to find Sending End Current

Other formulas in Current category

How to Evaluate Sending End Current using Losses (STL)?

FAQs on Sending End Current using Losses (STL)

Variable Name

GoSending End Current using Sending End Power (STL) Formula

GoSending End Current using Transmission Efficiency (STL) Formula