Voltage Regulation (Nominal Pi Method) Calculator

✖Sending End Voltage in PI is the voltage at the sending end of a transmission line.ⓘ Sending End Voltage in PI [V_s(pi)]			+10% -10%
✖Receiving End Voltage in PI is the voltage developed at the receiving end of a transmission line.ⓘ Receiving End Voltage in PI [V_r(pi)]			+10% -10%

✖Voltage Regulation in PI is the difference in voltage at the receiving end of the transmission line between conditions of no-load and full load is called voltage regulation.ⓘ Voltage Regulation (Nominal Pi Method) [%V_pi]

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Formula

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Voltage Regulation (Nominal Pi Method)

Formula

`"%V"_{"pi"} = ("V"_{"s(pi)"}-"V"_{"r(pi)"})/"V"_{"r(pi)"}`

Example

`"0.237113"=("396V"-"320.1V")/"320.1V"`

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Download Nominal Pi-Method in Medium Line Formulas PDF

Voltage Regulation (Nominal Pi Method) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Regulation in PI = (Sending End Voltage in PI-Receiving End Voltage in PI)/Receiving End Voltage in PI
%V_pi = (V_s(pi)-V_r(pi))/V_r(pi)
This formula uses 3 Variables

Variables Used

Voltage Regulation in PI - Voltage Regulation in PI is the difference in voltage at the receiving end of the transmission line between conditions of no-load and full load is called voltage regulation.
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 Voltage in PI - (Measured in Volt) - Receiving End Voltage in PI is the voltage developed at the receiving end of a transmission line.

STEP 1: Convert Input(s) to Base Unit

Sending End Voltage in PI: 396 Volt --> 396 Volt No Conversion Required
Receiving End Voltage in PI: 320.1 Volt --> 320.1 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

%V_pi = (V_s(pi)-V_r(pi))/V_r(pi) --> (396-320.1)/320.1

Evaluating ... ...

%V_pi = 0.237113402061856

STEP 3: Convert Result to Output's Unit

0.237113402061856 --> No Conversion Required

FINAL ANSWER

0.237113402061856 ≈ 0.237113 <-- Voltage Regulation 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

Voltage Regulation (Nominal Pi Method) Formula

Voltage Regulation in PI = (Sending End Voltage in PI-Receiving End Voltage in PI)/Receiving End Voltage in PI
%V_pi = (V_s(pi)-V_r(pi))/V_r(pi)

What is the difference between Nominal T Method and Nominal π Method?

In the Nominal T model of the Transmission line, the whole shunt capacitance of the line is assumed to be lumped at the middle of the line. In the Nominal π Method, the shunt capacitance of each line i.e. phase to neutral is divided into two equal parts.

How to Calculate Voltage Regulation (Nominal Pi Method)?

Voltage Regulation (Nominal Pi Method) calculator uses Voltage Regulation in PI = (Sending End Voltage in PI-Receiving End Voltage in PI)/Receiving End Voltage in PI to calculate the Voltage Regulation in PI, The Voltage Regulation (Nominal pi method) formula is defined as a measure of the change in the voltage magnitude between the sending and receiving end of a component, such as a transmission or distribution line. Voltage Regulation in PI is denoted by %V_pi symbol.

How to calculate Voltage Regulation (Nominal Pi Method) using this online calculator? To use this online calculator for Voltage Regulation (Nominal Pi Method), enter Sending End Voltage in PI (V_s(pi)) & Receiving End Voltage in PI (V_r(pi)) and hit the calculate button. Here is how the Voltage Regulation (Nominal Pi Method) calculation can be explained with given input values -> 0.237113 = (396-320.1)/320.1.

FAQ

What is Voltage Regulation (Nominal Pi Method)?

The Voltage Regulation (Nominal pi method) formula is defined as a measure of the change in the voltage magnitude between the sending and receiving end of a component, such as a transmission or distribution line and is represented as %V_pi = (V_s(pi)-V_r(pi))/V_r(pi) or Voltage Regulation in PI = (Sending End Voltage in PI-Receiving End Voltage in PI)/Receiving End Voltage in PI. Sending End Voltage in PI is the voltage at the sending end of a transmission line & Receiving End Voltage in PI is the voltage developed at the receiving end of a transmission line.

How to calculate Voltage Regulation (Nominal Pi Method)?

The Voltage Regulation (Nominal pi method) formula is defined as a measure of the change in the voltage magnitude between the sending and receiving end of a component, such as a transmission or distribution line is calculated using Voltage Regulation in PI = (Sending End Voltage in PI-Receiving End Voltage in PI)/Receiving End Voltage in PI. To calculate Voltage Regulation (Nominal Pi Method), you need Sending End Voltage in PI (V_s(pi)) & Receiving End Voltage in PI (V_r(pi)). With our tool, you need to enter the respective value for Sending End Voltage in PI & Receiving End Voltage 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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