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Sending End Voltage using Transmission Efficiency (STL) Formula

GoSending End Voltage using Power Factor(STL) Formula

GoSending End Voltage in Transmission Line Formula

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

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

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

Sending End Voltage using Transmission Efficiency (STL) Example

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

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

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

400.3003 = 380 \cdot 3.9 \cdot \frac{\cos (75)}{0.278 \cdot 3.98 \cdot \cos (30)}

400.3003V = 380V \cdot 3.9A \cdot \frac{\cos (75°)}{0.278 \cdot 3.98A \cdot \cos (30°)}

400.3003 = 380 \cdot 3.9 \cdot \frac{\cos (75)}{0.278 \cdot 3.98 \cdot \cos (30)}

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Sending End Voltage using Transmission Efficiency (STL) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V s = 380V \cdot 3.9A \cdot \frac{\cos (75°)}{0.278 \cdot 3.98A \cdot \cos (30°)}

Next Step Convert Units

∴

V s = 380V \cdot 3.9A \cdot \frac{\cos (1.309rad)}{0.278 \cdot 3.98A \cdot \cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

V s = 380 \cdot 3.9 \cdot \frac{\cos (1.309)}{0.278 \cdot 3.98 \cdot \cos (0.5236)}

Next Step Evaluate

∴

V s = 400.30031746089V

LAST Step Rounding Answer

∴

V s = 400.3003V

Sending End Voltage using Transmission Efficiency (STL) Formula Elements

Variables

Functions

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

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 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 to find Sending End Voltage

Go Sending End Voltage using Power Factor(STL)

V s = \sqrt{{((V r \cdot \cos (Φ r)) + (I r \cdot R))}^{2} + {((V r \cdot \sin (Φ r)) + (I r \cdot X c))}^{2}}

Go Sending End Voltage in Transmission Line

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

Other formulas in Voltage category

Go Receiving End Voltage using Transmission Efficiency (STL)

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

Go Receiving End Voltage using Impedance (STL)

V r = V s - (I r \cdot Z)

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

Sending End Voltage using Transmission Efficiency (STL) evaluator uses Sending End Voltage = Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Current*cos(Sending End Phase Angle)) to evaluate the Sending End Voltage, The Sending End Voltage using Transmission Efficiency (STL) is the electrical potential difference at the source end of the line relative to the load voltage. In short lines, this voltage remains relatively constant due to minimal impedance effects, ensuring efficient power transfer with negligible voltage drop from source to load. Sending End Voltage is denoted by V_s symbol.

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

FAQs on Sending End Voltage using Transmission Efficiency (STL)

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

The formula of Sending End Voltage using Transmission Efficiency (STL) is expressed as Sending End Voltage = Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Current*cos(Sending End Phase Angle)). Here is an example- 400.3003 = 380*3.9*(cos(1.3089969389955))/(0.278*3.98*cos(0.5235987755982)).

How to calculate Sending End Voltage 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 Current (I_s) & Sending End Phase Angle (Φ_s) we can find Sending End Voltage using Transmission Efficiency (STL) using the formula - Sending End Voltage = Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Current*cos(Sending End Phase Angle)). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Sending End Voltage?

Here are the different ways to Calculate Sending End Voltage-

Sending End Voltage=sqrt(((Receiving End Voltage*cos(Receiving End Phase Angle))+(Receiving End Current*Resistance))^2+((Receiving End Voltage*sin(Receiving End Phase Angle))+(Receiving End Current*Capacitive Reactance))^2)
Sending End Voltage=((Voltage Regulation*Receiving End Voltage)/100)+Receiving End Voltage
Sending End Voltage=Sending End Power/(3*Sending End Current*cos(Sending End Phase Angle))

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

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

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

Sending End Voltage using Transmission Efficiency (STL) is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Sending End Voltage using Transmission Efficiency (STL) can be measured.

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Sending End Voltage using Transmission Efficiency (STL) Formula

​GoSending End Voltage using Power Factor(STL) Formula

​GoSending End Voltage in Transmission Line Formula

Sending End Voltage using Transmission Efficiency (STL) Example

Sending End Voltage using Transmission Efficiency (STL) Solution

Sending End Voltage using Transmission Efficiency (STL) Formula Elements

Other Formulas to find Sending End Voltage

Other formulas in Voltage category

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

FAQs on Sending End Voltage using Transmission Efficiency (STL)

Variable Name

GoSending End Voltage using Power Factor(STL) Formula

GoSending End Voltage in Transmission Line Formula