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Receiving End Voltage using Transmission Efficiency (STL) Formula

GoReceiving End Voltage using Impedance (STL) Formula

GoReceiving End Voltage using Receiving End Power (STL) Formula

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Receiving End Voltage is the voltage developed at the receiving end of a short transmission line. Check FAQs

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

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

Receiving End Voltage using Transmission Efficiency (STL) Example

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

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

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

379.7149 = 0.278 \cdot 400 \cdot 3.98 \cdot \frac{\cos (30)}{3.9 \cdot \cos (75)}

379.7149V = 0.278 \cdot 400V \cdot 3.98A \cdot \frac{\cos (30°)}{3.9A \cdot \cos (75°)}

379.7149 = 0.278 \cdot 400 \cdot 3.98 \cdot \frac{\cos (30)}{3.9 \cdot \cos (75)}

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Receiving End Voltage using Transmission Efficiency (STL) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V r = 0.278 \cdot 400V \cdot 3.98A \cdot \frac{\cos (30°)}{3.9A \cdot \cos (75°)}

Next Step Convert Units

∴

V r = 0.278 \cdot 400V \cdot 3.98A \cdot \frac{\cos (0.5236rad)}{3.9A \cdot \cos (1.309rad)}

Next Step Prepare to Evaluate

∴

V r = 0.278 \cdot 400 \cdot 3.98 \cdot \frac{\cos (0.5236)}{3.9 \cdot \cos (1.309)}

Next Step Evaluate

∴

V r = 379.714912454075V

LAST Step Rounding Answer

∴

V r = 379.7149V

Receiving End Voltage using Transmission Efficiency (STL) Formula Elements

Variables

Functions

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

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 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

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

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 Receiving End Voltage

Go Receiving End Voltage using Impedance (STL)

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

Go Receiving End Voltage using Receiving End Power (STL)

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

Other formulas in Voltage category

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

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

Receiving End Voltage using Transmission Efficiency (STL) evaluator uses Receiving End Voltage = Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*cos(Receiving End Phase Angle)) to evaluate the Receiving End Voltage, The Receiving End Voltage using Transmission Efficiency (STL) is the electrical potential difference at the load end relative to the source voltage. In short lines, this voltage is nearly identical to the source voltage due to minimal impedance effects, ensuring stable and efficient power delivery to the load with negligible voltage drop. Receiving End Voltage is denoted by V_r symbol.

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

FAQs on Receiving End Voltage using Transmission Efficiency (STL)

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

The formula of Receiving End Voltage using Transmission Efficiency (STL) is expressed as Receiving End Voltage = Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*cos(Receiving End Phase Angle)). Here is an example- 682.9405 = 0.278*400*3.98*cos(0.5235987755982)/(3.9*cos(1.3089969389955)).

How to calculate Receiving End Voltage using Transmission Efficiency (STL)?

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

What are the other ways to Calculate Receiving End Voltage?

Here are the different ways to Calculate Receiving End Voltage-

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

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

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

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

Receiving 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 Receiving End Voltage using Transmission Efficiency (STL) can be measured.

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Receiving End Voltage using Transmission Efficiency (STL) Formula

​GoReceiving End Voltage using Impedance (STL) Formula

​GoReceiving End Voltage using Receiving End Power (STL) Formula

Receiving End Voltage using Transmission Efficiency (STL) Example

Receiving End Voltage using Transmission Efficiency (STL) Solution

Receiving End Voltage using Transmission Efficiency (STL) Formula Elements

Other Formulas to find Receiving End Voltage

Other formulas in Voltage category

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

FAQs on Receiving End Voltage using Transmission Efficiency (STL)

Variable Name

GoReceiving End Voltage using Impedance (STL) Formula

GoReceiving End Voltage using Receiving End Power (STL) Formula