Receiving End Voltage using Sending End Power in Nominal Pi Method Calculator

✖Sending End Power in PI is defined as the power at receiving end of a medium transmission line.ⓘ Sending End Power in PI [P_s(pi)]			+10% -10%
✖Power Loss in PI is defined as the deviation in the power transferred from sending end to receiving end of a medium transmission line.ⓘ Power Loss in PI [P_loss(pi)]			+10% -10%
✖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.ⓘ Receiving End Current in PI [I_r(pi)]			+10% -10%
✖Receiving End Phase Angle in PI is the difference between the phasors of current and voltage at the receiving end of a transmission line.ⓘ Receiving End Phase Angle in PI [Φ_r(pi)]			+10% -10%

✖Receiving End Voltage in PI is the voltage developed at the receiving end of a transmission line.ⓘ Receiving End Voltage using Sending End Power in Nominal Pi Method [V_r(pi)]

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Formula

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Receiving End Voltage using Sending End Power in Nominal Pi Method

Formula

`"V"_{"r(pi)"} = ("P"_{"s(pi)"}-"P"_{"loss(pi)"})/("I"_{"r(pi)"}*cos("Φ"_{"r(pi)"}))`

Example

`"957.2716V"=("335W"-"85.2W")/("7.44A"*cos("87.99°"))`

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Receiving End Voltage using Sending End Power in Nominal Pi Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
V_r(pi) = (P_s(pi)-P_loss(pi))/(I_r(pi)*cos(Φ_r(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 Voltage in PI - (Measured in Volt) - Receiving End Voltage in PI is the voltage developed at the receiving end of a transmission line.
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.
Power Loss in PI - (Measured in Watt) - Power Loss in PI is defined as the deviation in the power transferred from sending end to receiving end of a medium transmission line.
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.
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

Sending End Power in PI: 335 Watt --> 335 Watt No Conversion Required
Power Loss in PI: 85.2 Watt --> 85.2 Watt No Conversion Required
Receiving End Current in PI: 7.44 Ampere --> 7.44 Ampere 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

V_r(pi) = (P_s(pi)-P_loss(pi))/(I_r(pi)*cos(Φ_r(pi))) --> (335-85.2)/(7.44*cos(1.53571520882952))

Evaluating ... ...

V_r(pi) = 957.271561346852

STEP 3: Convert Result to Output's Unit

957.271561346852 Volt --> No Conversion Required

FINAL ANSWER

957.271561346852 ≈ 957.2716 Volt <-- Receiving End Voltage in PI

(Calculation completed in 00.004 seconds)

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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

Receiving End Voltage using Sending End Power in Nominal Pi Method Formula

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))
V_r(pi) = (P_s(pi)-P_loss(pi))/(I_r(pi)*cos(Φ_r(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 Voltage using Sending End Power in Nominal Pi Method?

Receiving End Voltage using Sending End Power in Nominal Pi Method calculator uses 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)) to calculate the Receiving End Voltage in PI, The Receiving End Voltage using Sending End Power in Nominal Pi Method formula is defined as the voltage at the receiving end of the medium transmission line. Receiving End Voltage in PI is denoted by V_r(pi) symbol.

How to calculate Receiving End Voltage using Sending End Power in Nominal Pi Method using this online calculator? To use this online calculator for Receiving End Voltage using Sending End Power in Nominal Pi Method, enter Sending End Power in PI (P_s(pi)), Power Loss in PI (P_loss(pi)), Receiving End Current in PI (I_r(pi)) & Receiving End Phase Angle in PI (Φ_r(pi)) and hit the calculate button. Here is how the Receiving End Voltage using Sending End Power in Nominal Pi Method calculation can be explained with given input values -> 962.056 = (335-85.2)/(7.44*cos(1.53571520882952)).

FAQ

What is Receiving End Voltage using Sending End Power in Nominal Pi Method?

The Receiving End Voltage using Sending End Power in Nominal Pi Method formula is defined as the voltage at the receiving end of the medium transmission line and is represented as V_r(pi) = (P_s(pi)-P_loss(pi))/(I_r(pi)*cos(Φ_r(pi))) or 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)). Sending End Power in PI is defined as the power at receiving end of a medium transmission line, Power Loss in PI is defined as the deviation in the power transferred from sending end to receiving end of a medium transmission line, 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 & 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 Voltage using Sending End Power in Nominal Pi Method?

The Receiving End Voltage using Sending End Power in Nominal Pi Method formula is defined as the voltage at the receiving end of the medium transmission line is calculated using 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)). To calculate Receiving End Voltage using Sending End Power in Nominal Pi Method, you need Sending End Power in PI (P_s(pi)), Power Loss in PI (P_loss(pi)), Receiving End Current in PI (I_r(pi)) & Receiving End Phase Angle in PI (Φ_r(pi)). With our tool, you need to enter the respective value for Sending End Power in PI, Power Loss in PI, Receiving End Current 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.

How many ways are there to calculate Receiving End Voltage in PI?

In this formula, Receiving End Voltage in PI uses Sending End Power in PI, Power Loss in PI, Receiving End Current in PI & Receiving End Phase Angle in PI. We can use 1 other way(s) to calculate the same, which is/are as follows -

Receiving End Voltage in PI = Sending End Voltage in PI/(Voltage Regulation in PI+1)

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