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Receiving End Real Power Component Formula

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Real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load. Check FAQs

P = ((V r \cdot \frac{V s}{B}) \cdot \sin (β - ∠α)) - (\frac{A \cdot ({V r}^{2}) \cdot \sin (β - ∠α)}{B})

P - Real Power?V_r - Receiving End Voltage?V_s - Sending End Voltage?B - B Parameter?β - Beta B-Parameter?∠α - Alpha A-Parameter?A - A Parameter?

Receiving End Real Power Component Example

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Here is how the Receiving End Real Power Component equation looks like with Values.

Here is how the Receiving End Real Power Component equation looks like with Units.

Here is how the Receiving End Real Power Component equation looks like.

453.2292 = ((380 \cdot \frac{400}{11.5}) \cdot \sin (20 - 125)) - (\frac{1.09 \cdot (380^{2}) \cdot \sin (20 - 125)}{11.5})

453.2292W = ((380V \cdot \frac{400V}{11.5Ω}) \cdot \sin (20° - 125°)) - (\frac{1.09 \cdot ({380V}^{2}) \cdot \sin (20° - 125°)}{11.5Ω})

453.2292 = ((380 \cdot \frac{400}{11.5}) \cdot \sin (20 - 125)) - (\frac{1.09 \cdot (380^{2}) \cdot \sin (20 - 125)}{11.5})

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Receiving End Real Power Component Solution

Follow our step by step solution on how to calculate Receiving End Real Power Component?

FIRST Step Consider the formula

P = ((V r \cdot \frac{V s}{B}) \cdot \sin (β - ∠α)) - (\frac{A \cdot ({V r}^{2}) \cdot \sin (β - ∠α)}{B})

Next Step Substitute values of Variables

∴

P = ((380V \cdot \frac{400V}{11.5Ω}) \cdot \sin (20° - 125°)) - (\frac{1.09 \cdot ({380V}^{2}) \cdot \sin (20° - 125°)}{11.5Ω})

Next Step Convert Units

∴

P = ((380V \cdot \frac{400V}{11.5Ω}) \cdot \sin (0.3491rad - 2.1817rad)) - (\frac{1.09 \cdot ({380V}^{2}) \cdot \sin (0.3491rad - 2.1817rad)}{11.5Ω})

Next Step Prepare to Evaluate

∴

P = ((380 \cdot \frac{400}{11.5}) \cdot \sin (0.3491 - 2.1817)) - (\frac{1.09 \cdot (380^{2}) \cdot \sin (0.3491 - 2.1817)}{11.5})

Next Step Evaluate

∴

P = 453.229196404895W

LAST Step Rounding Answer

∴

P = 453.2292W

Receiving End Real Power Component Formula Elements

Variables

Functions

Real Power

Real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.

Symbol: P

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Real Power

Receiving End Voltage

Receiving end voltage is the voltage developed at the receiving end of a transmission line.

Symbol: V_r

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Receiving End Voltage

Sending End Voltage

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

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Sending End Voltage

B Parameter

B parameter is a generalized line constant. also known as short circuit resistance in a transmission line.

Symbol: B

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find B Parameter

Beta B-Parameter

Beta B-parameter is defined as the phase obtained with the A-parameter of a transmission line.

Symbol: β

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Beta B-Parameter

Alpha A-Parameter

Alpha A-parameter is defined as the measure of phase angle of A-parameter in a transmission line.

Symbol: ∠α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Alpha A-Parameter

A Parameter

A parameter is a generalized line constant in a two port transmission line.

Symbol: A

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find A Parameter

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Line Performance Characteristics category

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S = I^{2} \cdot Z

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δ = \sqrt{\frac{R s}{f \cdot μ r \cdot 4 \cdot π \cdot 10^{- 7}}}

How to Evaluate Receiving End Real Power Component?

Receiving End Real Power Component evaluator uses Real Power = ((Receiving End Voltage*Sending End Voltage/B Parameter)*sin(Beta B-Parameter-Alpha A-Parameter))-((A Parameter*(Receiving End Voltage^2)*sin(Beta B-Parameter-Alpha A-Parameter))/B Parameter) to evaluate the Real Power, The Receiving End Real Power Component formula is defined as a result of a circuit containing resistive components only. Real Power is denoted by P symbol.

How to evaluate Receiving End Real Power Component using this online evaluator? To use this online evaluator for Receiving End Real Power Component, enter Receiving End Voltage (V_r), Sending End Voltage (V_s), B Parameter (B), Beta B-Parameter (β), Alpha A-Parameter (∠α) & A Parameter (A) and hit the calculate button.

FAQs on Receiving End Real Power Component

What is the formula to find Receiving End Real Power Component?

The formula of Receiving End Real Power Component is expressed as Real Power = ((Receiving End Voltage*Sending End Voltage/B Parameter)*sin(Beta B-Parameter-Alpha A-Parameter))-((A Parameter*(Receiving End Voltage^2)*sin(Beta B-Parameter-Alpha A-Parameter))/B Parameter). Here is an example- 453.2292 = ((380*400/11.5)*sin(0.3490658503988-2.1816615649925))-((1.09*(380^2)*sin(0.3490658503988-2.1816615649925))/11.5).

How to calculate Receiving End Real Power Component?

With Receiving End Voltage (V_r), Sending End Voltage (V_s), B Parameter (B), Beta B-Parameter (β), Alpha A-Parameter (∠α) & A Parameter (A) we can find Receiving End Real Power Component using the formula - Real Power = ((Receiving End Voltage*Sending End Voltage/B Parameter)*sin(Beta B-Parameter-Alpha A-Parameter))-((A Parameter*(Receiving End Voltage^2)*sin(Beta B-Parameter-Alpha A-Parameter))/B Parameter). This formula also uses Sine (sin) function(s).

Can the Receiving End Real Power Component be negative?

Yes, the Receiving End Real Power Component, measured in Power can be negative.

Which unit is used to measure Receiving End Real Power Component?

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

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Receiving End Real Power Component Formula

Receiving End Real Power Component Example

Receiving End Real Power Component Solution

Receiving End Real Power Component Formula Elements

Other formulas in Line Performance Characteristics category

How to Evaluate Receiving End Real Power Component?

FAQs on Receiving End Real Power Component

Variable Name