Receiving End Voltage using Voltage Regulation in Nominal Pi Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Receiving End Voltage in PI = Sending End Voltage in PI/(Voltage Regulation in PI+1)
Vr(pi) = Vs(pi)/(%Vpi+1)
This formula uses 3 Variables
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 Voltage in PI - (Measured in Volt) - Sending End Voltage in PI is the voltage at the sending end of a transmission line.
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.
STEP 1: Convert Input(s) to Base Unit
Sending End Voltage in PI: 396 Volt --> 396 Volt No Conversion Required
Voltage Regulation in PI: 0.23 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vr(pi) = Vs(pi)/(%Vpi+1) --> 396/(0.23+1)
Evaluating ... ...
Vr(pi) = 321.951219512195
STEP 3: Convert Result to Output's Unit
321.951219512195 Volt --> No Conversion Required
FINAL ANSWER
321.951219512195 321.9512 Volt <-- Receiving End Voltage in PI
(Calculation completed in 00.004 seconds)

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Nominal Pi Method in Medium Line Calculators

Receiving End Voltage using Sending End Power in Nominal Pi Method
​ LaTeX ​ 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 Losses in Nominal Pi Method
​ LaTeX ​ Go Load Current in PI = sqrt(Power Loss in PI/Resistance in PI)
Losses in Nominal Pi Method
​ LaTeX ​ Go Power Loss in PI = (Load Current in PI^2)*Resistance in PI
Resistance using Losses in Nominal Pi Method
​ LaTeX ​ Go Resistance in PI = Power Loss in PI/Load Current in PI^2

Receiving End Voltage using Voltage Regulation in Nominal Pi Method Formula

​LaTeX ​Go
Receiving End Voltage in PI = Sending End Voltage in PI/(Voltage Regulation in PI+1)
Vr(pi) = Vs(pi)/(%Vpi+1)

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 Receiving End Voltage using Voltage Regulation in Nominal Pi Method?

Receiving End Voltage using Voltage Regulation in Nominal Pi Method calculator uses Receiving End Voltage in PI = Sending End Voltage in PI/(Voltage Regulation in PI+1) to calculate the Receiving End Voltage in PI, The Receiving End Voltage using Voltage Regulation in Nominal Pi method formula is defined as the voltage at the receiving end of the medium transmission lines. Receiving End Voltage in PI is denoted by Vr(pi) symbol.

How to calculate Receiving End Voltage using Voltage Regulation in Nominal Pi Method using this online calculator? To use this online calculator for Receiving End Voltage using Voltage Regulation in Nominal Pi Method, enter Sending End Voltage in PI (Vs(pi)) & Voltage Regulation in PI (%Vpi) and hit the calculate button. Here is how the Receiving End Voltage using Voltage Regulation in Nominal Pi Method calculation can be explained with given input values -> 319.3548 = 396/(0.23+1).

FAQ

What is Receiving End Voltage using Voltage Regulation in Nominal Pi Method?
The Receiving End Voltage using Voltage Regulation in Nominal Pi method formula is defined as the voltage at the receiving end of the medium transmission lines and is represented as Vr(pi) = Vs(pi)/(%Vpi+1) or Receiving End Voltage in PI = Sending End Voltage in PI/(Voltage Regulation in PI+1). Sending End Voltage in PI is the voltage at the sending end of a transmission line & 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.
How to calculate Receiving End Voltage using Voltage Regulation in Nominal Pi Method?
The Receiving End Voltage using Voltage Regulation in Nominal Pi method formula is defined as the voltage at the receiving end of the medium transmission lines is calculated using Receiving End Voltage in PI = Sending End Voltage in PI/(Voltage Regulation in PI+1). To calculate Receiving End Voltage using Voltage Regulation in Nominal Pi Method, you need Sending End Voltage in PI (Vs(pi)) & Voltage Regulation in PI (%Vpi). With our tool, you need to enter the respective value for Sending End Voltage in PI & Voltage Regulation 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 Voltage in PI & Voltage Regulation 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 Power in PI-Power Loss in PI)/(Receiving End Current in PI*cos(Receiving End Phase Angle in PI))
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