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B-Parameter using Receiving End Real Power Component Formula

GoB-Parameter using Receiving End Reactive Power Component Formula

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

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

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

B-Parameter using Receiving End Real Power Component Example

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Here is how the B-Parameter using Receiving End Real Power Component equation looks like with Values.

Here is how the B-Parameter using Receiving End Real Power Component equation looks like with Units.

Here is how the B-Parameter using Receiving End Real Power Component equation looks like.

11.5058 = \frac{((380 \cdot 400) \cdot \sin (20 - 125)) - (1.09 \cdot 380^{2} \cdot \sin (20 - 125))}{453}

11.5058Ω = \frac{((380V \cdot 400V) \cdot \sin (20° - 125°)) - (1.09 \cdot {380V}^{2} \cdot \sin (20° - 125°))}{453W}

11.5058 = \frac{((380 \cdot 400) \cdot \sin (20 - 125)) - (1.09 \cdot 380^{2} \cdot \sin (20 - 125))}{453}

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B-Parameter using Receiving End Real Power Component Solution

Follow our step by step solution on how to calculate B-Parameter using Receiving End Real Power Component?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = \frac{((380V \cdot 400V) \cdot \sin (20° - 125°)) - (1.09 \cdot {380V}^{2} \cdot \sin (20° - 125°))}{453W}

Next Step Convert Units

∴

B = \frac{((380V \cdot 400V) \cdot \sin (0.3491rad - 2.1817rad)) - (1.09 \cdot {380V}^{2} \cdot \sin (0.3491rad - 2.1817rad))}{453W}

Next Step Prepare to Evaluate

∴

B = \frac{((380 \cdot 400) \cdot \sin (0.3491 - 2.1817)) - (1.09 \cdot 380^{2} \cdot \sin (0.3491 - 2.1817))}{453}

Next Step Evaluate

∴

B = 11.5058184517799Ω

LAST Step Rounding Answer

∴

B = 11.5058Ω

B-Parameter using Receiving End Real Power Component Formula Elements

Variables

Functions

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

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

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

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

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 to find B Parameter

Go B-Parameter using Receiving End Reactive Power Component

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

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Go Complex Power given Current

S = I^{2} \cdot Z

Go Skin Depth in Conductor

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

How to Evaluate B-Parameter using Receiving End Real Power Component?

B-Parameter using Receiving End Real Power Component evaluator uses B Parameter = (((Receiving End Voltage*Sending End Voltage)*sin(Beta B-Parameter-Alpha A-Parameter))-(A Parameter*Receiving End Voltage^2*sin(Beta B-Parameter-Alpha A-Parameter)))/Real Power to evaluate the B Parameter, The B-parameter using Receiving End Real Power Component formula is defined as are generalized circuit constants used to help model transmission lines. More specifically, ABCD parameters are used in the two-port network representation of a transmission line. B Parameter is denoted by B symbol.

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

FAQs on B-Parameter using Receiving End Real Power Component

What is the formula to find B-Parameter using Receiving End Real Power Component?

The formula of B-Parameter using Receiving End Real Power Component is expressed as B Parameter = (((Receiving End Voltage*Sending End Voltage)*sin(Beta B-Parameter-Alpha A-Parameter))-(A Parameter*Receiving End Voltage^2*sin(Beta B-Parameter-Alpha A-Parameter)))/Real Power. Here is an example- 17.97288 = (((380*400)*sin(0.3490658503988-2.1816615649925))-(1.09*380^2*sin(0.3490658503988-2.1816615649925)))/453.

How to calculate B-Parameter using Receiving End Real Power Component?

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

What are the other ways to Calculate B Parameter?

Here are the different ways to Calculate B Parameter-

B Parameter=(((Receiving End Voltage*Sending End Voltage)*cos(Beta B-Parameter-Alpha A-Parameter))-(A Parameter*(Receiving End Voltage^2)*cos(Beta B-Parameter-Alpha A-Parameter)))/Reactive Power

Can the B-Parameter using Receiving End Real Power Component be negative?

No, the B-Parameter using Receiving End Real Power Component, measured in Electric Resistance cannot be negative.

Which unit is used to measure B-Parameter using Receiving End Real Power Component?

B-Parameter using Receiving End Real Power Component is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which B-Parameter using Receiving End Real Power Component can be measured.

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B-Parameter using Receiving End Real Power Component Formula

​GoB-Parameter using Receiving End Reactive Power Component Formula

B-Parameter using Receiving End Real Power Component Example

B-Parameter using Receiving End Real Power Component Solution

B-Parameter using Receiving End Real Power Component Formula Elements

Other Formulas to find B Parameter

Other formulas in Line Performance Characteristics category

How to Evaluate B-Parameter using Receiving End Real Power Component?

FAQs on B-Parameter using Receiving End Real Power Component

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GoB-Parameter using Receiving End Reactive Power Component Formula