Receiving End Current using Transmission Efficiency in Nominal Pi Method Calculator

✖Transmission Efficiency in PI is the total sideband power by the total transmitted power.ⓘ Transmission Efficiency in PI [η_pi]			+10% -10%
✖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%
✖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%
✖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 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 using Transmission Efficiency in Nominal Pi Method [I_r(pi)]

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Receiving End Current using Transmission Efficiency in Nominal Pi Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
I_r(pi) = (η_pi*P_s(pi))/(3*V_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 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.
Transmission Efficiency in PI - Transmission Efficiency in PI is the total sideband power by the total transmitted power.
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.
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.
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

Transmission Efficiency in PI: 0.745 --> No Conversion Required
Sending End Power in PI: 335 Watt --> 335 Watt No Conversion Required
Receiving End Voltage in PI: 320.1 Volt --> 320.1 Volt 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

I_r(pi) = (η_pi*P_s(pi))/(3*V_r(pi)*(cos(Φ_r(pi)))) --> (0.745*335)/(3*320.1*(cos(1.53571520882952)))

Evaluating ... ...

I_r(pi) = 7.40985670522533

STEP 3: Convert Result to Output's Unit

7.40985670522533 Ampere --> No Conversion Required

FINAL ANSWER

7.40985670522533 ≈ 7.409857 Ampere <-- Receiving End Current 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 Current using Transmission Efficiency in Nominal Pi Method Formula

LaTeX Go

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 Current using Transmission Efficiency in Nominal Pi Method?

Receiving End Current using Transmission Efficiency in Nominal Pi Method calculator uses 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))) to calculate the Receiving End Current in PI, The Receiving End Current using Transmission Efficiency in Nominal Pi method formula is defined as the current that flows into the receiving end side of the medium transmission line. Receiving End Current in PI is denoted by I_r(pi) symbol.

How to calculate Receiving End Current using Transmission Efficiency in Nominal Pi Method using this online calculator? To use this online calculator for Receiving End Current using Transmission Efficiency in Nominal Pi Method, enter Transmission Efficiency in PI (η_pi), Sending End Power in PI (P_s(pi)), Receiving End Voltage in PI (V_r(pi)) & Receiving End Phase Angle in PI (Φ_r(pi)) and hit the calculate button. Here is how the Receiving End Current using Transmission Efficiency in Nominal Pi Method calculation can be explained with given input values -> 7.446891 = (0.745*335)/(3*320.1*(cos(1.53571520882952))).

FAQ

What is Receiving End Current using Transmission Efficiency in Nominal Pi Method?

The Receiving End Current using Transmission Efficiency in Nominal Pi method formula is defined as the current that flows into the receiving end side of the medium transmission line and is represented as I_r(pi) = (η_pi*P_s(pi))/(3*V_r(pi)*(cos(Φ_r(pi)))) or 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))). Transmission Efficiency in PI is the total sideband power by the total transmitted power, Sending End Power in PI is defined as the power at receiving end of a medium transmission line, Receiving End Voltage in PI is the voltage developed at the receiving end of a 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 Current using Transmission Efficiency in Nominal Pi Method?

The Receiving End Current using Transmission Efficiency in Nominal Pi method formula is defined as the current that flows into the receiving end side of the medium transmission line is calculated using 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))). To calculate Receiving End Current using Transmission Efficiency in Nominal Pi Method, you need Transmission Efficiency in PI (η_pi), Sending End Power in PI (P_s(pi)), Receiving End Voltage in PI (V_r(pi)) & Receiving End Phase Angle in PI (Φ_r(pi)). With our tool, you need to enter the respective value for Transmission Efficiency in PI, Sending End Power in PI, Receiving End Voltage 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.

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