Sending End Power using Transmission Efficiency in Nominal Pi Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sending End Power in PI = Receiving End Power in PI/Transmission Efficiency in PI
Ps(pi) = Pr(pi)/ηpi
This formula uses 3 Variables
Variables Used
Sending End Power in PI - (Measured in Watt) - Sending End Power in PI is defined as the power at receiving end of a medium transmission line.
Receiving End Power in PI - (Measured in Watt) - Receiving End Power in PI is defined as the power at receiving end in a medium transmission line.
Transmission Efficiency in PI - Transmission Efficiency in PI is the total sideband power by the total transmitted power.
STEP 1: Convert Input(s) to Base Unit
Receiving End Power in PI: 250.1 Watt --> 250.1 Watt No Conversion Required
Transmission Efficiency in PI: 0.745 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ps(pi) = Pr(pi)pi --> 250.1/0.745
Evaluating ... ...
Ps(pi) = 335.704697986577
STEP 3: Convert Result to Output's Unit
335.704697986577 Watt --> No Conversion Required
FINAL ANSWER
335.704697986577 335.7047 Watt <-- Sending End Power in PI
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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20 Nominal Pi-Method in Medium Line Calculators

Receiving End Current using Transmission Efficiency in Nominal Pi Method
Go Receiving End Current in PI = (Transmission Efficiency in PI*Sending End Power in PI)/(3*Receiving End Voltage in PI*(cos(Receiving End Phase Angle in PI)))
Receiving End Angle using Transmission Efficiency in Nominal Pi Method
Go Receiving End Phase Angle in PI = acos((Transmission Efficiency in PI*Sending End Power in PI)/(3*Receiving End Current in PI*Receiving End Voltage in PI))
Sending End Voltage using Transmission Efficiency in Nominal Pi Method
Go Sending End Voltage in PI = Receiving End Power in PI/(3*cos(Sending End Phase Angle in PI)*Sending End Current in PI)/Transmission Efficiency in PI
Sending End Current using Transmission Efficiency in Nominal Pi Method
Go Sending End Current in PI = Receiving End Power in PI/(3*cos(Sending End Phase Angle in PI)*Transmission Efficiency in PI*Sending End Voltage in PI)
Receiving End Voltage using Sending End Power in Nominal Pi Method
Go Receiving End Voltage in PI = (Sending End Power in PI-Power Loss in PI)/(Receiving End Current in PI*cos(Receiving End Phase Angle in PI))
Load Current using Transmission Efficiency in Nominal Pi Method
Go Load Current in PI = sqrt(((Receiving End Power in PI/Transmission Efficiency in PI)-Receiving End Power in PI)/Resistance in PI*3)
Voltage Regulation (Nominal Pi Method)
Go Voltage Regulation in PI = (Sending End Voltage in PI-Receiving End Voltage in PI)/Receiving End Voltage in PI
Losses using Transmission Efficiency in Nominal Pi Method
Go Power Loss in PI = (Receiving End Power in PI/Transmission Efficiency in PI)-Receiving End Power in PI
B Parameter for Reciprocal Network in Nominal Pi Method
Go B Parameter in PI = ((A Parameter in PI*D Parameter in PI)-1)/C Parameter in PI
C Parameter in Nominal Pi Method
Go C Parameter in PI = Admittance in PI*(1+(Admittance in PI*Impedance in PI/4))
Load Current using Losses in Nominal Pi Method
Go Load Current in PI = sqrt(Power Loss in PI/Resistance in PI)
Receiving End Voltage using Voltage Regulation in Nominal Pi Method
Go Receiving End Voltage in PI = Sending End Voltage in PI/(Voltage Regulation in PI+1)
Sending End Voltage using Voltage Regulation in Nominal Pi Method
Go Sending End Voltage in PI = Receiving End Voltage in PI*(Voltage Regulation in PI+1)
Sending End Power using Transmission Efficiency in Nominal Pi Method
Go Sending End Power in PI = Receiving End Power in PI/Transmission Efficiency in PI
Transmission Efficiency (Nominal Pi Method)
Go Transmission Efficiency in PI = Receiving End Power in PI/Sending End Power in PI
Impedance using A Parameter in Nominal Pi Method
Go Impedance in PI = 2*(A Parameter in PI-1)/Admittance in PI
A-Parameter in Nominal Pi Method
Go A Parameter in PI = 1+(Admittance in PI*Impedance in PI/2)
D Parameter in Nominal Pi Method
Go D Parameter in PI = 1+(Impedance in PI*Admittance in PI/2)
Losses in Nominal Pi Method
Go Power Loss in PI = (Load Current in PI^2)*Resistance in PI
Resistance using Losses in Nominal Pi Method
Go Resistance in PI = Power Loss in PI/Load Current in PI^2

Sending End Power using Transmission Efficiency in Nominal Pi Method Formula

Sending End Power in PI = Receiving End Power in PI/Transmission Efficiency in PI
Ps(pi) = Pr(pi)/ηpi

Which of the following transmission line can be considered as a medium transmission line?

The transmission lines having a length of more than 80 Km and less than 200 Km are considered medium transmission lines. Their operating voltage is more than short transmission lines but less than long transmission lines.

How to Calculate Sending End Power using Transmission Efficiency in Nominal Pi Method?

Sending End Power using Transmission Efficiency in Nominal Pi Method calculator uses Sending End Power in PI = Receiving End Power in PI/Transmission Efficiency in PI to calculate the Sending End Power in PI, The Sending End Power using Transmission Efficiency in Nominal Pi method formula is defined as the power at the sending end of the medium transmission lines. Sending End Power in PI is denoted by Ps(pi) symbol.

How to calculate Sending End Power using Transmission Efficiency in Nominal Pi Method using this online calculator? To use this online calculator for Sending End Power using Transmission Efficiency in Nominal Pi Method, enter Receiving End Power in PI (Pr(pi)) & Transmission Efficiency in PI pi) and hit the calculate button. Here is how the Sending End Power using Transmission Efficiency in Nominal Pi Method calculation can be explained with given input values -> 335.7047 = 250.1/0.745.

FAQ

What is Sending End Power using Transmission Efficiency in Nominal Pi Method?
The Sending End Power using Transmission Efficiency in Nominal Pi method formula is defined as the power at the sending end of the medium transmission lines and is represented as Ps(pi) = Pr(pi)pi or Sending End Power in PI = Receiving End Power in PI/Transmission Efficiency in PI. Receiving End Power in PI is defined as the power at receiving end in a medium transmission line & Transmission Efficiency in PI is the total sideband power by the total transmitted power.
How to calculate Sending End Power using Transmission Efficiency in Nominal Pi Method?
The Sending End Power using Transmission Efficiency in Nominal Pi method formula is defined as the power at the sending end of the medium transmission lines is calculated using Sending End Power in PI = Receiving End Power in PI/Transmission Efficiency in PI. To calculate Sending End Power using Transmission Efficiency in Nominal Pi Method, you need Receiving End Power in PI (Pr(pi)) & Transmission Efficiency in PI pi). With our tool, you need to enter the respective value for Receiving End Power in PI & Transmission Efficiency in PI 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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