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Losses using Transmission Efficiency (STL) Formula

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

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

P_loss - Power Loss?V_r - Receiving End Voltage?I_r - Receiving End Current?Φ_r - Receiving End Phase Angle?η - Transmission Efficiency?

Losses using Transmission Efficiency (STL) Example

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

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

Here is how the Losses using Transmission Efficiency (STL) equation looks like.

2988.5332 = (\frac{3 \cdot 380 \cdot 3.9 \cdot \cos (75)}{0.278}) - (3 \cdot 380 \cdot 3.9 \cdot \cos (75))

2988.5332W = (\frac{3 \cdot 380V \cdot 3.9A \cdot \cos (75°)}{0.278}) - (3 \cdot 380V \cdot 3.9A \cdot \cos (75°))

2988.5332 = (\frac{3 \cdot 380 \cdot 3.9 \cdot \cos (75)}{0.278}) - (3 \cdot 380 \cdot 3.9 \cdot \cos (75))

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Losses using Transmission Efficiency (STL) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P loss = (\frac{3 \cdot 380V \cdot 3.9A \cdot \cos (75°)}{0.278}) - (3 \cdot 380V \cdot 3.9A \cdot \cos (75°))

Next Step Convert Units

∴

P loss = (\frac{3 \cdot 380V \cdot 3.9A \cdot \cos (1.309rad)}{0.278}) - (3 \cdot 380V \cdot 3.9A \cdot \cos (1.309rad))

Next Step Prepare to Evaluate

∴

P loss = (\frac{3 \cdot 380 \cdot 3.9 \cdot \cos (1.309)}{0.278}) - (3 \cdot 380 \cdot 3.9 \cdot \cos (1.309))

Next Step Evaluate

∴

P loss = 2988.53323959856W

LAST Step Rounding Answer

∴

P loss = 2988.5332W

Losses using Transmission Efficiency (STL) Formula Elements

Variables

Functions

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

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

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 in Line Parameters category

Go Voltage Regulation in Transmission Line

%V = (\frac{V s - V r}{V r}) \cdot 100

Go Resistance using Losses (STL)

R = \frac{P loss}{3 \cdot {I r}^{2}}

Go Transmission Efficiency (STL)

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

Go Impedance (STL)

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

How to Evaluate Losses using Transmission Efficiency (STL)?

Losses using Transmission Efficiency (STL) evaluator uses Power Loss = ((3*Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/Transmission Efficiency)-(3*Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle)) to evaluate the Power Loss, The Losses using Transmission Efficiency (STL) are primarily resistive losses (I²R) resulting from current passing through the line's resistance. These losses are minimal due to the line's short length, which equates to low resistance and negligible reactance, resulting in reduced power dissipation compared to longer transmission lines. Power Loss is denoted by P_loss symbol.

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

FAQs on Losses using Transmission Efficiency (STL)

What is the formula to find Losses using Transmission Efficiency (STL)?

The formula of Losses using Transmission Efficiency (STL) is expressed as Power Loss = ((3*Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/Transmission Efficiency)-(3*Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle)). Here is an example- 2988.533 = ((3*380*3.9*cos(1.3089969389955))/0.278)-(3*380*3.9*cos(1.3089969389955)).

How to calculate Losses using Transmission Efficiency (STL)?

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

Can the Losses using Transmission Efficiency (STL) be negative?

No, the Losses using Transmission Efficiency (STL), measured in Power cannot be negative.

Which unit is used to measure Losses using Transmission Efficiency (STL)?

Losses using Transmission Efficiency (STL) is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Losses using Transmission Efficiency (STL) can be measured.

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Losses using Transmission Efficiency (STL) Formula

Losses using Transmission Efficiency (STL) Example

Losses using Transmission Efficiency (STL) Solution

Losses using Transmission Efficiency (STL) Formula Elements

Other formulas in Line Parameters category

How to Evaluate Losses using Transmission Efficiency (STL)?

FAQs on Losses using Transmission Efficiency (STL)

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