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Sending End Voltage using Transmission Efficiency in Nominal Pi Method Calculator

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✖Receiving End Power in PI is defined as the power at receiving end in a medium transmission line.ⓘ Receiving End Power in PI [Pr(pi)]
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✖Sending End Phase Angle in PI is the difference between the phasors of current and voltage at the sending end of a transmission line.ⓘ Sending End Phase Angle in PI [Φs(pi)]
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✖Sending End Current in PI is defined as the amount of current injected into a medium transmission line from the source or injectors.ⓘ Sending End Current in PI [Is(pi)]
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✖Transmission Efficiency in PI is the total sideband power by the total transmitted power.ⓘ Transmission Efficiency in PI [ηpi]
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✖Sending End Voltage in PI is the voltage at the sending end of a transmission line.ⓘ Sending End Voltage using Transmission Efficiency in Nominal Pi Method [Vs(pi)]
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Sending End Voltage using Transmission Efficiency in Nominal Pi Method

Formula
`"V"_{"s(pi)"} = "P"_{"r(pi)"}/(3*cos("Φ"_{"s(pi)"})*"I"_{"s(pi)"})/"η"_{"pi"}`

Example
`"402.2991V"="250.1W"/(3*cos("22°")*"0.3A")/"0.745"`

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Sending End Voltage using Transmission Efficiency in Nominal Pi Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Vs(pi) = Pr(pi)/(3*cos(Φs(pi))*Is(pi))/ηpi
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
Sending End Voltage in PI - (Measured in Volt) - Sending End Voltage in PI is the voltage at the sending end of a 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.
Sending End Phase Angle in PI - (Measured in Radian) - Sending End Phase Angle in PI is the difference between the phasors of current and voltage at the sending end of a transmission line.
Sending End Current in PI - (Measured in Ampere) - Sending End Current in PI is defined as the amount of current injected into a medium transmission line from the source or injectors.
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
Sending End Phase Angle in PI: 22 Degree --> 0.38397243543868 Radian (Check conversion here)
Sending End Current in PI: 0.3 Ampere --> 0.3 Ampere No Conversion Required
Transmission Efficiency in PI: 0.745 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vs(pi) = Pr(pi)/(3*cos(Φs(pi))*Is(pi))/ηpi --> 250.1/(3*cos(0.38397243543868)*0.3)/0.745
Evaluating ... ...
Vs(pi) = 402.299088953998
STEP 3: Convert Result to Output's Unit
402.299088953998 Volt --> No Conversion Required
FINAL ANSWER
402.299088953998 ≈ 402.2991 Volt <-- Sending End Voltage in PI
(Calculation completed in 00.004 seconds)
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Home » Engineering » Electrical » Power System » Transmission Lines » Medium Line » Nominal Pi-Method in Medium Line » Sending End Voltage using Transmission Efficiency in Nominal Pi Method

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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 Voltage using Transmission Efficiency in Nominal Pi Method Formula

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
Vs(pi) = Pr(pi)/(3*cos(Φs(pi))*Is(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 Voltage using Transmission Efficiency in Nominal Pi Method?

Sending End Voltage using Transmission Efficiency in Nominal Pi Method calculator uses 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 to calculate the Sending End Voltage in PI, The Sending End Voltage using Transmission Efficiency in Nominal Pi method formula is defined as the voltage at the sending end of the medium transmission line. Sending End Voltage in PI is denoted by Vs(pi) symbol.

How to calculate Sending End Voltage using Transmission Efficiency in Nominal Pi Method using this online calculator? To use this online calculator for Sending End Voltage using Transmission Efficiency in Nominal Pi Method, enter Receiving End Power in PI (Pr(pi)), Sending End Phase Angle in PI (Φs(pi)), Sending End Current in PI (Is(pi)) & Transmission Efficiency in PI (ηpi) and hit the calculate button. Here is how the Sending End Voltage using Transmission Efficiency in Nominal Pi Method calculation can be explained with given input values -> 7.496256 = 250.1/(3*cos(0.38397243543868)*0.3)/0.745.

FAQ

What is Sending End Voltage using Transmission Efficiency in Nominal Pi Method?
The Sending End Voltage using Transmission Efficiency in Nominal Pi method formula is defined as the voltage at the sending end of the medium transmission line and is represented as Vs(pi) = Pr(pi)/(3*cos(Φs(pi))*Is(pi))/ηpi or 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. Receiving End Power in PI is defined as the power at receiving end in a medium transmission line, Sending End Phase Angle in PI is the difference between the phasors of current and voltage at the sending end of a transmission line, Sending End Current in PI is defined as the amount of current injected into a medium transmission line from the source or injectors & Transmission Efficiency in PI is the total sideband power by the total transmitted power.
How to calculate Sending End Voltage using Transmission Efficiency in Nominal Pi Method?
The Sending End Voltage using Transmission Efficiency in Nominal Pi method formula is defined as the voltage at the sending end of the medium transmission line is calculated using 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. To calculate Sending End Voltage using Transmission Efficiency in Nominal Pi Method, you need Receiving End Power in PI (Pr(pi)), Sending End Phase Angle in PI (Φs(pi)), Sending End Current in PI (Is(pi)) & Transmission Efficiency in PI (ηpi). With our tool, you need to enter the respective value for Receiving End Power in PI, Sending End Phase Angle in PI, Sending End Current 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.
How many ways are there to calculate Sending End Voltage in PI?
In this formula, Sending End Voltage in PI uses Receiving End Power in PI, Sending End Phase Angle in PI, Sending End Current in PI & Transmission Efficiency in PI. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Sending End Voltage in PI = Receiving End Voltage in PI*(Voltage Regulation in PI+1)
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