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B parameter is a generalized line constant. also known as short circuit resistance in a transmission line. Check FAQs
B=((VrVs)cos(β-∠α))-(A(Vr2)cos(β-∠α))Q
B - B Parameter?Vr - Receiving End Voltage?Vs - Sending End Voltage?β - Beta B-Parameter?∠α - Alpha A-Parameter?A - A Parameter?Q - Reactive Power?

B-Parameter using Receiving End Reactive Power Component Example

With values
With units
Only example

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

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

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

9.6985Edit=((380Edit400Edit)cos(20Edit-125Edit))-(1.09Edit(380Edit2)cos(20Edit-125Edit))144Edit
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B-Parameter using Receiving End Reactive Power Component Solution

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

FIRST Step Consider the formula
B=((VrVs)cos(β-∠α))-(A(Vr2)cos(β-∠α))Q
Next Step Substitute values of Variables
B=((380V400V)cos(20°-125°))-(1.09(380V2)cos(20°-125°))144VAR
Next Step Convert Units
B=((380V400V)cos(0.3491rad-2.1817rad))-(1.09(380V2)cos(0.3491rad-2.1817rad))144W
Next Step Prepare to Evaluate
B=((380400)cos(0.3491-2.1817))-(1.09(3802)cos(0.3491-2.1817))144
Next Step Evaluate
B=9.69852477341247Ω
LAST Step Rounding Answer
B=9.6985Ω

B-Parameter using Receiving End Reactive 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.
Receiving End Voltage
Receiving end voltage is the voltage developed at the receiving end of a transmission line.
Symbol: Vr
Measurement: Electric PotentialUnit: V
Note: Value can be positive or negative.
Sending End Voltage
Sending End Voltage is the voltage at the sending end of a transmission line.
Symbol: Vs
Measurement: Electric PotentialUnit: V
Note: Value can be positive or negative.
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.
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.
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.
Reactive Power
Reactive Power is a measure of the energy exchange between the source and the reactive part of the load.
Symbol: Q
Measurement: PowerUnit: VAR
Note: Value can be positive or negative.
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 B Parameter

​Go B-Parameter using Receiving End Real Power Component
B=((VrVs)sin(β-∠α))-(AVr2sin(β-∠α))P

Other formulas in Line Performance Characteristics category

​Go Complex Power given Current
S=I2Z
​Go Skin Depth in Conductor
δ=Rsfμr4π10-7

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

B-Parameter using Receiving End Reactive Power Component evaluator uses 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 to evaluate the B Parameter, The B-parameter using Receiving End Reactive Power Component formula is defined as 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 Reactive Power Component using this online evaluator? To use this online evaluator for B-Parameter using Receiving End Reactive Power Component, enter Receiving End Voltage (Vr), Sending End Voltage (Vs), Beta B-Parameter (β), Alpha A-Parameter (∠α), A Parameter (A) & Reactive Power (Q) and hit the calculate button.

FAQs on B-Parameter using Receiving End Reactive Power Component

What is the formula to find B-Parameter using Receiving End Reactive Power Component?
The formula of B-Parameter using Receiving End Reactive Power Component is expressed as 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. Here is an example- 9.698525 = (((380*400)*cos(0.3490658503988-2.1816615649925))-(1.09*(380^2)*cos(0.3490658503988-2.1816615649925)))/144.
How to calculate B-Parameter using Receiving End Reactive Power Component?
With Receiving End Voltage (Vr), Sending End Voltage (Vs), Beta B-Parameter (β), Alpha A-Parameter (∠α), A Parameter (A) & Reactive Power (Q) we can find B-Parameter using Receiving End Reactive Power Component using the formula - 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. This formula also uses Cosine (cos) 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)*sin(Beta B-Parameter-Alpha A-Parameter))-(A Parameter*Receiving End Voltage^2*sin(Beta B-Parameter-Alpha A-Parameter)))/Real PowerOpenImg
Can the B-Parameter using Receiving End Reactive Power Component be negative?
No, the B-Parameter using Receiving End Reactive Power Component, measured in Electric Resistance cannot be negative.
Which unit is used to measure B-Parameter using Receiving End Reactive Power Component?
B-Parameter using Receiving End Reactive 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 Reactive Power Component can be measured.
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