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Receiving End Power (STL) Formula

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Receiving End Power is defined as the power at receiving end in a short transmission line. Check FAQs

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

P_r - Receiving End Power?V_r - Receiving End Voltage?I_r - Receiving End Current?Φ_r - Receiving End Phase Angle?

Receiving End Power (STL) Example

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Here is how the Receiving End Power (STL) equation looks like with Values.

Here is how the Receiving End Power (STL) equation looks like with Units.

Here is how the Receiving End Power (STL) equation looks like.

1150.7095 = 3 \cdot 380 \cdot 3.9 \cdot \cos (75)

1150.7095W = 3 \cdot 380V \cdot 3.9A \cdot \cos (75°)

1150.7095 = 3 \cdot 380 \cdot 3.9 \cdot \cos (75)

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Receiving End Power (STL) Solution

Follow our step by step solution on how to calculate Receiving End Power (STL)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P r = 3 \cdot 380V \cdot 3.9A \cdot \cos (75°)

Next Step Convert Units

∴

P r = 3 \cdot 380V \cdot 3.9A \cdot \cos (1.309rad)

Next Step Prepare to Evaluate

∴

P r = 3 \cdot 380 \cdot 3.9 \cdot \cos (1.309)

Next Step Evaluate

∴

P r = 1150.70947452687W

LAST Step Rounding Answer

∴

P r = 1150.7095W

Receiving End Power (STL) Formula Elements

Variables

Functions

Receiving End Power

Receiving End Power is defined as the power at receiving end in a short transmission line.

Symbol: P_r

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Receiving End Power

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

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 Power and Phase Difference category

Go Transmitted Current (SC Line)

I t = \frac{V t}{Z 0}

Go Receiving End Angle using Transmission Efficiency (STL)

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

Go Receiving End Angle using Losses (STL)

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

Go Receiving End Angle using Receiving End Power (STL)

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

How to Evaluate Receiving End Power (STL)?

Receiving End Power (STL) evaluator uses Receiving End Power = 3*Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle) to evaluate the Receiving End Power, The Receiving End Power (STL) is the process of accepting electrical energy at the load end from the source end. With minimal impedance effects due to the line's short length, reception ensures efficient power transfer with negligible losses and stable voltage delivery to the load. Receiving End Power is denoted by P_r symbol.

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

FAQs on Receiving End Power (STL)

What is the formula to find Receiving End Power (STL)?

The formula of Receiving End Power (STL) is expressed as Receiving End Power = 3*Receiving End Voltage*Receiving End Current*cos(Receiving End Phase Angle). Here is an example- 1150.709 = 3*380*3.9*cos(1.3089969389955).

How to calculate Receiving End Power (STL)?

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

Can the Receiving End Power (STL) be negative?

Yes, the Receiving End Power (STL), measured in Power can be negative.

Which unit is used to measure Receiving End Power (STL)?

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

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Receiving End Power (STL) Formula

Receiving End Power (STL) Example

Receiving End Power (STL) Solution

Receiving End Power (STL) Formula Elements

Other formulas in Power and Phase Difference category

How to Evaluate Receiving End Power (STL)?

FAQs on Receiving End Power (STL)

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