Transmission Efficiency (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 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%

✖Transmission Efficiency in PI is the total sideband power by the total transmitted power.ⓘ Transmission Efficiency (Nominal Pi Method) [η_pi]

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Transmission Efficiency (Nominal Pi Method)

Formula

`"η"_{"pi"} = "P"_{"r(pi)"}/"P"_{"s(pi)"}`

Example

`"0.746567"="250.1W"/"335W"`

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Transmission Efficiency (Nominal Pi Method) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmission Efficiency in PI = Receiving End Power in PI/Sending End Power in PI
η_pi = P_r(pi)/P_s(pi)
This formula uses 3 Variables

Variables Used

Transmission Efficiency in PI - Transmission Efficiency in PI is the total sideband power by the total transmitted power.
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 Power in PI - (Measured in Watt) - Sending End Power in PI is defined as the power at receiving end of a medium transmission line.

STEP 1: Convert Input(s) to Base Unit

Receiving End Power in PI: 250.1 Watt --> 250.1 Watt No Conversion Required
Sending End Power in PI: 335 Watt --> 335 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_pi = P_r(pi)/P_s(pi) --> 250.1/335

Evaluating ... ...

η_pi = 0.746567164179105

STEP 3: Convert Result to Output's Unit

0.746567164179105 --> No Conversion Required

FINAL ANSWER

0.746567164179105 ≈ 0.746567 <-- Transmission Efficiency in PI

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

Transmission Efficiency (Nominal Pi Method) Formula

Transmission Efficiency in PI = Receiving End Power in PI/Sending End Power in PI
η_pi = P_r(pi)/P_s(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 Transmission Efficiency (Nominal Pi Method)?

Transmission Efficiency (Nominal Pi Method) calculator uses Transmission Efficiency in PI = Receiving End Power in PI/Sending End Power in PI to calculate the Transmission Efficiency in PI, The Transmission Efficiency (Nominal pi method) refers to the effectiveness and capability of a system or device in transmitting or transferring a signal, energy, data, or power from one point to another while minimizing losses or degradation. Transmission Efficiency in PI is denoted by η_pi symbol.

How to calculate Transmission Efficiency (Nominal Pi Method) using this online calculator? To use this online calculator for Transmission Efficiency (Nominal Pi Method), enter Receiving End Power in PI (P_r(pi)) & Sending End Power in PI (P_s(pi)) and hit the calculate button. Here is how the Transmission Efficiency (Nominal Pi Method) calculation can be explained with given input values -> 30.87654 = 250.1/335.

FAQ

What is Transmission Efficiency (Nominal Pi Method)?

The Transmission Efficiency (Nominal pi method) refers to the effectiveness and capability of a system or device in transmitting or transferring a signal, energy, data, or power from one point to another while minimizing losses or degradation and is represented as η_pi = P_r(pi)/P_s(pi) or Transmission Efficiency in PI = Receiving End Power in PI/Sending End Power in PI. Receiving End Power in PI is defined as the power at receiving end in a medium transmission line & Sending End Power in PI is defined as the power at receiving end of a medium transmission line.

How to calculate Transmission Efficiency (Nominal Pi Method)?

The Transmission Efficiency (Nominal pi method) refers to the effectiveness and capability of a system or device in transmitting or transferring a signal, energy, data, or power from one point to another while minimizing losses or degradation is calculated using Transmission Efficiency in PI = Receiving End Power in PI/Sending End Power in PI. To calculate Transmission Efficiency (Nominal Pi Method), you need Receiving End Power in PI (P_r(pi)) & Sending End Power in PI (P_s(pi)). With our tool, you need to enter the respective value for Receiving End Power in PI & Sending End Power 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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