B-Parameter using Receiving End Real Power Component Calculator

✖Receiving end voltage is the voltage developed at the receiving end of a transmission line.ⓘ Receiving End Voltage [V_r]			+10% -10%
✖Sending End Voltage is the voltage at the sending end of a transmission line.ⓘ Sending End Voltage [V_s]			+10% -10%
✖Beta B-parameter is defined as the phase obtained with the A-parameter of a transmission line.ⓘ Beta B-Parameter [β]			+10% -10%
✖Alpha A-parameter is defined as the measure of phase angle of A-parameter in a transmission line.ⓘ Alpha A-Parameter [∠α]			+10% -10%
✖A parameter is a generalized line constant in a two port transmission line.ⓘ A Parameter [A]			+10% -10%
✖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.ⓘ Real Power [P]			+10% -10%

✖B parameter is a generalized line constant. also known as short circuit resistance in a transmission line.ⓘ B-Parameter using Receiving End Real Power Component [B]

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Formula

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B-Parameter using Receiving End Real Power Component

Formula

`"B" = ((("V"_{"r"}*"V"_{"s"})*sin("β"-"∠α"))-("A"*"V"_{"r"}^2*sin("β"-"∠α")))/"P"`

Example

`"11.50582Ω"=((("380V"*"400V")*sin("20°"-"125°"))-("1.09"*("380V")^2*sin("20°"-"125°")))/"453W"`

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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 = (((V_r*V_s)*sin(β-∠α))-(A*V_r^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 = (((V_r*V_s)*sin(β-∠α))-(A*V_r^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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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

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Osmania University (OU), Hyderabad

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< 15 Line Performance Characteristics Calculators

Receiving End Real Power Component

Go 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)

B-Parameter using Receiving End Reactive Power Component

Go 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

B-Parameter using Receiving End Real Power Component

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

Penetration Depth of Eddy Currents

Go Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity)

Skin Depth in Conductor

Go Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7))

Dielectric Loss due to Heating in Cables

Go Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle)

Sag of Transmission Line

Go Sag of Transmission Line = (Weight of Conductor*Span Length^2)/(8*Working Tension)

Base Current for Three-Phase System

Go Base Current = Base Power/(sqrt(3)*Base Voltage)

Base Impedance given Base Current

Go Base Impedance = Base Voltage/Base Current (PU)

Complex Power given Current

Go Complex Power = Electric Current^2*Impedance

Base Current

Go Base Current (PU) = Base Power/Base Voltage

Base Voltage

Go Base Voltage = Base Power/Base Current (PU)

Base Power

Go Base Power = Base Voltage*Base Current

Phase Current for Balanced Three-Phase Delta Connection

Go Phase Current = Line Current/sqrt(3)

Phase Voltage for Balanced Three-Phase Star Connection

Go Phase Voltage = Line Voltage/sqrt(3)

B-Parameter using Receiving End Real Power Component Formula

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 (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. 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 = (((V_r*V_s)*sin(β-∠α))-(A*V_r^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 (V_r), Sending End Voltage (V_s), 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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