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Transmission Efficiency (STL) Formula

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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. Check FAQs

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

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

Transmission Efficiency (STL) Example

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

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

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

0.2782 = \frac{380 \cdot 3.9 \cdot \cos (75)}{400 \cdot 3.98 \cdot \cos (30)}

0.2782 = \frac{380V \cdot 3.9A \cdot \cos (75°)}{400V \cdot 3.98A \cdot \cos (30°)}

0.2782 = \frac{380 \cdot 3.9 \cdot \cos (75)}{400 \cdot 3.98 \cdot \cos (30)}

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Transmission Efficiency (STL) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η = \frac{380V \cdot 3.9A \cdot \cos (75°)}{400V \cdot 3.98A \cdot \cos (30°)}

Next Step Convert Units

∴

η = \frac{380V \cdot 3.9A \cdot \cos (1.309rad)}{400V \cdot 3.98A \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

η = \frac{380 \cdot 3.9 \cdot \cos (1.309)}{400 \cdot 3.98 \cdot \cos (0.5236)}

Next Step Evaluate

∴

η = 0.278208720635318

LAST Step Rounding Answer

∴

η = 0.2782

Transmission Efficiency (STL) Formula Elements

Variables

Functions

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

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

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

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}}

How to Evaluate Transmission Efficiency (STL)?

Transmission Efficiency (STL) evaluator uses Transmission Efficiency = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)) to evaluate the Transmission Efficiency, The Transmission Efficiency (STL) involves the efficient conveyance of electrical energy over a brief distance, typically from a source to a load. With minimal impedance effects due to the line's short length, transmission facilitates effective power transfer with negligible losses and minimal voltage drop. Transmission Efficiency is denoted by η symbol.

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

FAQs on Transmission Efficiency (STL)

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

The formula of Transmission Efficiency (STL) is expressed as Transmission Efficiency = (Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle))/(Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)). Here is an example- 0.278209 = (380*3.9*cos(1.3089969389955))/(400*3.98*cos(0.5235987755982)).

How to calculate Transmission Efficiency (STL)?

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

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Transmission Efficiency (STL) Formula

Transmission Efficiency (STL) Example

Transmission Efficiency (STL) Solution

Transmission Efficiency (STL) Formula Elements

Other formulas in Line Parameters category

How to Evaluate Transmission Efficiency (STL)?

FAQs on Transmission Efficiency (STL)

Variable Name