Receiving End Current using Transmission Efficiency in Nominal Pi Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
Ir(pi) = (ηpi*Ps(pi))/(3*Vr(pi)*(cos(Φr(pi))))
This formula uses 1 Functions, 5 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Receiving End Current in PI - (Measured in Ampere) - Receiving End Current in PI is defined as the magnitude and phase angle of current received at the load end of a medium transmission line.
Transmission Efficiency in PI - Transmission Efficiency in PI is the total sideband power by the total transmitted power.
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 Voltage in PI - (Measured in Volt) - Receiving End Voltage in PI is the voltage developed at the receiving end of a transmission line.
Receiving End Phase Angle in PI - (Measured in Radian) - Receiving End Phase Angle in PI is the difference between the phasors of current and voltage at the receiving end of a transmission line.
STEP 1: Convert Input(s) to Base Unit
Transmission Efficiency in PI: 0.745 --> No Conversion Required
Sending End Power in PI: 335 Watt --> 335 Watt No Conversion Required
Receiving End Voltage in PI: 320.1 Volt --> 320.1 Volt No Conversion Required
Receiving End Phase Angle in PI: 87.99 Degree --> 1.53571520882952 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ir(pi) = (ηpi*Ps(pi))/(3*Vr(pi)*(cos(Φr(pi)))) --> (0.745*335)/(3*320.1*(cos(1.53571520882952)))
Evaluating ... ...
Ir(pi) = 7.40985670522533
STEP 3: Convert Result to Output's Unit
7.40985670522533 Ampere --> No Conversion Required
FINAL ANSWER
7.40985670522533 7.409857 Ampere <-- Receiving End Current in PI
(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 Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

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

Receiving End Current using Transmission Efficiency in Nominal Pi Method Formula

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)))
Ir(pi) = (ηpi*Ps(pi))/(3*Vr(pi)*(cos(Φr(pi))))

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 Receiving End Current using Transmission Efficiency in Nominal Pi Method?

Receiving End Current using Transmission Efficiency in Nominal Pi Method calculator uses 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))) to calculate the Receiving End Current in PI, The Receiving End Current using Transmission Efficiency in Nominal Pi method formula is defined as the current that flows into the receiving end side of the medium transmission line. Receiving End Current in PI is denoted by Ir(pi) symbol.

How to calculate Receiving End Current using Transmission Efficiency in Nominal Pi Method using this online calculator? To use this online calculator for Receiving End Current using Transmission Efficiency in Nominal Pi Method, enter Transmission Efficiency in PI pi), Sending End Power in PI (Ps(pi)), Receiving End Voltage in PI (Vr(pi)) & Receiving End Phase Angle in PI r(pi)) and hit the calculate button. Here is how the Receiving End Current using Transmission Efficiency in Nominal Pi Method calculation can be explained with given input values -> 7.446891 = (0.745*335)/(3*320.1*(cos(1.53571520882952))).

FAQ

What is Receiving End Current using Transmission Efficiency in Nominal Pi Method?
The Receiving End Current using Transmission Efficiency in Nominal Pi method formula is defined as the current that flows into the receiving end side of the medium transmission line and is represented as Ir(pi) = (ηpi*Ps(pi))/(3*Vr(pi)*(cos(Φr(pi)))) or 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))). Transmission Efficiency in PI is the total sideband power by the total transmitted power, Sending End Power in PI is defined as the power at receiving end of a medium transmission line, Receiving End Voltage in PI is the voltage developed at the receiving end of a transmission line & Receiving End Phase Angle in PI is the difference between the phasors of current and voltage at the receiving end of a transmission line.
How to calculate Receiving End Current using Transmission Efficiency in Nominal Pi Method?
The Receiving End Current using Transmission Efficiency in Nominal Pi method formula is defined as the current that flows into the receiving end side of the medium transmission line is calculated using 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))). To calculate Receiving End Current using Transmission Efficiency in Nominal Pi Method, you need Transmission Efficiency in PI pi), Sending End Power in PI (Ps(pi)), Receiving End Voltage in PI (Vr(pi)) & Receiving End Phase Angle in PI r(pi)). With our tool, you need to enter the respective value for Transmission Efficiency in PI, Sending End Power in PI, Receiving End Voltage in PI & Receiving End Phase Angle in PI and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!