Receiving End Real Power Component Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
P = ((Vr*Vs/B)*sin(β-∠α))-((A*(Vr^2)*sin(β-∠α))/B)
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
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.
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.
B Parameter - (Measured in Ohm) - B parameter is a generalized line constant. also known as short circuit resistance in 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.
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
B Parameter: 11.5 Ohm --> 11.5 Ohm 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = ((Vr*Vs/B)*sin(β-∠α))-((A*(Vr^2)*sin(β-∠α))/B) --> ((380*400/11.5)*sin(0.3490658503988-2.1816615649925))-((1.09*(380^2)*sin(0.3490658503988-2.1816615649925))/11.5)
Evaluating ... ...
P = 453.229196404895
STEP 3: Convert Result to Output's Unit
453.229196404895 Watt --> No Conversion Required
FINAL ANSWER
453.229196404895 453.2292 Watt <-- Real Power
(Calculation completed in 00.004 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 1200+ more calculators!

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)

Receiving End Real Power Component 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)
P = ((Vr*Vs/B)*sin(β-∠α))-((A*(Vr^2)*sin(β-∠α))/B)

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 Receiving End Real Power Component?

Receiving End Real Power Component calculator 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 calculate 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 calculate Receiving End Real Power Component using this online calculator? To use this online calculator for Receiving End Real Power Component, enter Receiving End Voltage (Vr), Sending End Voltage (Vs), B Parameter (B), Beta B-Parameter (β), Alpha A-Parameter (∠α) & A Parameter (A) and hit the calculate button. Here is how the Receiving End Real Power Component calculation can be explained with given input values -> 453.2292 = ((380*400/11.5)*sin(0.3490658503988-2.1816615649925))-((1.09*(380^2)*sin(0.3490658503988-2.1816615649925))/11.5).

FAQ

What is Receiving End Real Power Component?
The Receiving End Real Power Component formula is defined as a result of a circuit containing resistive components only and is represented as P = ((Vr*Vs/B)*sin(β-∠α))-((A*(Vr^2)*sin(β-∠α))/B) or 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). 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, B parameter is a generalized line constant. also known as short circuit resistance in 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.
How to calculate Receiving End Real Power Component?
The Receiving End Real Power Component formula is defined as a result of a circuit containing resistive components only is calculated using 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 calculate Receiving End Real Power Component, you need Receiving End Voltage (Vr), Sending End Voltage (Vs), B Parameter (B), Beta B-Parameter (β), Alpha A-Parameter (∠α) & A Parameter (A). With our tool, you need to enter the respective value for Receiving End Voltage, Sending End Voltage, B Parameter, Beta B-Parameter, Alpha A-Parameter & A Parameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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