B-Parameter using Receiving End Real Power Component Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
B = (((Vr*Vs)*sin(β-∠α))-(A*Vr^2*sin(β-∠α)))/P
This formula uses 1 Functions, 7 Variables
Functions Used
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., sin(Angle)
Variables Used
B Parameter - (Measured in Ohm) - B parameter is a generalized line constant. also known as short circuit resistance in a transmission line.
Receiving End Voltage - (Measured in Volt) - Receiving end voltage is the voltage developed at the receiving end of a transmission line.
Sending End Voltage - (Measured in Volt) - Sending End Voltage is the voltage at the sending end of a transmission line.
Beta B-Parameter - (Measured in Radian) - Beta B-parameter is defined as the phase obtained with the A-parameter of a transmission line.
Alpha A-Parameter - (Measured in Radian) - Alpha A-parameter is defined as the measure of phase angle of A-parameter in a transmission line.
A Parameter - A parameter is a generalized line constant in a two port transmission line.
Real Power - (Measured in Watt) - 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.
STEP 1: Convert Input(s) to Base Unit
Receiving End Voltage: 380 Volt --> 380 Volt No Conversion Required
Sending End Voltage: 400 Volt --> 400 Volt No Conversion Required
Beta B-Parameter: 20 Degree --> 0.3490658503988 Radian (Check conversion ​here)
Alpha A-Parameter: 125 Degree --> 2.1816615649925 Radian (Check conversion ​here)
A Parameter: 1.09 --> No Conversion Required
Real Power: 453 Watt --> 453 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = (((Vr*Vs)*sin(β-∠α))-(A*Vr^2*sin(β-∠α)))/P --> (((380*400)*sin(0.3490658503988-2.1816615649925))-(1.09*380^2*sin(0.3490658503988-2.1816615649925)))/453
Evaluating ... ...
B = 11.5058184517799
STEP 3: Convert Result to Output's Unit
11.5058184517799 Ohm --> No Conversion Required
FINAL ANSWER
11.5058184517799 11.50582 Ohm <-- B Parameter
(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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B-Parameter using Receiving End Real Power Component Formula

​LaTeX ​Go
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
B = (((Vr*Vs)*sin(β-∠α))-(A*Vr^2*sin(β-∠α)))/P

What is active and reactive components?

Active or real power is a result of a circuit containing resistive components only, while reactive power results from a circuit containing either capacitive and inductive components. Almost all AC circuits will contain a combination of these R, L, and C components.

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

B-Parameter using Receiving End Real Power Component calculator 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 calculate 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 calculate B-Parameter using Receiving End Real Power Component using this online calculator? To use this online calculator for B-Parameter using Receiving End Real Power Component, enter Receiving End Voltage (Vr), Sending End Voltage (Vs), Beta B-Parameter (β), Alpha A-Parameter (∠α), A Parameter (A) & Real Power (P) and hit the calculate button. Here is how the B-Parameter using Receiving End Real Power Component calculation can be explained with given input values -> 17.97288 = (((380*400)*sin(0.3490658503988-2.1816615649925))-(1.09*380^2*sin(0.3490658503988-2.1816615649925)))/453.

FAQ

What is B-Parameter using Receiving End Real Power Component?
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 and is represented as B = (((Vr*Vs)*sin(β-∠α))-(A*Vr^2*sin(β-∠α)))/P or 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. Receiving end voltage is the voltage developed at the receiving end of a transmission line, Sending End Voltage is the voltage at the sending end of a transmission line, Beta B-parameter is defined as the phase obtained with the A-parameter of a transmission line, Alpha A-parameter is defined as the measure of phase angle of A-parameter in a transmission line, A parameter is a generalized line constant in a two port transmission line & 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.
How to calculate B-Parameter using Receiving End Real Power Component?
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 is calculated using 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 calculate B-Parameter using Receiving End Real Power Component, you need Receiving End Voltage (Vr), Sending End Voltage (Vs), Beta B-Parameter (β), Alpha A-Parameter (∠α), A Parameter (A) & Real Power (P). With our tool, you need to enter the respective value for Receiving End Voltage, Sending End Voltage, Beta B-Parameter, Alpha A-Parameter, A Parameter & Real Power and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate B Parameter?
In this formula, B Parameter uses Receiving End Voltage, Sending End Voltage, Beta B-Parameter, Alpha A-Parameter, A Parameter & Real Power. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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
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