Sending End Voltage using Transmission Efficiency in Nominal Pi Method Calculator

✖Receiving End Power in PI is defined as the power at receiving end in a medium transmission line.ⓘ Receiving End Power in PI [P_r(pi)]			+10% -10%
✖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 [Φ_s(pi)]			+10% -10%
✖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 [I_s(pi)]			+10% -10%
✖Transmission Efficiency in PI is the total sideband power by the total transmitted power.ⓘ Transmission Efficiency in PI [η_pi]			+10% -10%

✖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 [V_s(pi)]

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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
V_s(pi) = P_r(pi)/(3*cos(Φ_s(pi))*I_s(pi))/η_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

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

V_s(pi) = P_r(pi)/(3*cos(Φ_s(pi))*I_s(pi))/η_pi --> 250.1/(3*cos(0.38397243543868)*0.3)/0.745

Evaluating ... ...

V_s(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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< 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

Sending End Voltage using Transmission Efficiency in Nominal Pi Method Formula

LaTeX 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
V_s(pi) = P_r(pi)/(3*cos(Φ_s(pi))*I_s(pi))/η_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 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 V_s(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 (P_r(pi)), Sending End Phase Angle in PI (Φ_s(pi)), Sending End Current in PI (I_s(pi)) & Transmission Efficiency in PI (η_pi) 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 V_s(pi) = P_r(pi)/(3*cos(Φ_s(pi))*I_s(pi))/η_pi 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 (P_r(pi)), Sending End Phase Angle in PI (Φ_s(pi)), Sending End Current in PI (I_s(pi)) & Transmission Efficiency in PI (η_pi). 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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