Sending End Current 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%
✖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 in PI [V_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 using Transmission Efficiency in Nominal Pi Method [I_s(pi)]

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Formula

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Sending End Current using Transmission Efficiency in Nominal Pi Method

Formula

`"I"_{"s(pi)"} = "P"_{"r(pi)"}/(3*cos("Φ"_{"s(pi)"})*"η"_{"pi"}*"V"_{"s(pi)"})`

Example

`"0.304772A"="250.1W"/(3*cos("22°")*"0.745"*"396V")`

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Sending End Current using Transmission Efficiency in Nominal Pi Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
I_s(pi) = P_r(pi)/(3*cos(Φ_s(pi))*η_pi*V_s(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 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.
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.
Transmission Efficiency in PI - Transmission Efficiency in PI is the total sideband power by the total transmitted power.
Sending End Voltage in PI - (Measured in Volt) - Sending End Voltage in PI is the voltage at the sending end of a 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 Phase Angle in PI: 22 Degree --> 0.38397243543868 Radian (Check conversion here)
Transmission Efficiency in PI: 0.745 --> No Conversion Required
Sending End Voltage in PI: 396 Volt --> 396 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_s(pi) = P_r(pi)/(3*cos(Φ_s(pi))*η_pi*V_s(pi)) --> 250.1/(3*cos(0.38397243543868)*0.745*396)

Evaluating ... ...

I_s(pi) = 0.304772037086362

STEP 3: Convert Result to Output's Unit

0.304772037086362 Ampere --> No Conversion Required

FINAL ANSWER

0.304772037086362 ≈ 0.304772 Ampere <-- Sending End Current 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

Sending End Current using Transmission Efficiency in Nominal Pi Method Formula

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)
I_s(pi) = P_r(pi)/(3*cos(Φ_s(pi))*η_pi*V_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 Sending End Current using Transmission Efficiency in Nominal Pi Method?

Sending End Current using Transmission Efficiency in Nominal Pi Method calculator uses 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) to calculate the Sending End Current in PI, The Sending End Current using Transmission Efficiency in Nominal Pi method formula is defined as the current of the sending end of the medium transmission line. Sending End Current in PI is denoted by I_s(pi) symbol.

How to calculate Sending End Current using Transmission Efficiency in Nominal Pi Method using this online calculator? To use this online calculator for Sending End Current 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)), Transmission Efficiency in PI (η_pi) & Sending End Voltage in PI (V_s(pi)) and hit the calculate button. Here is how the Sending End Current using Transmission Efficiency in Nominal Pi Method calculation can be explained with given input values -> 0.304772 = 250.1/(3*cos(0.38397243543868)*0.745*396).

FAQ

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

The Sending End Current using Transmission Efficiency in Nominal Pi method formula is defined as the current of the sending end of the medium transmission line and is represented as I_s(pi) = P_r(pi)/(3*cos(Φ_s(pi))*η_pi*V_s(pi)) or 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 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, Transmission Efficiency in PI is the total sideband power by the total transmitted power & Sending End Voltage in PI is the voltage at the sending end of a transmission line.

How to calculate Sending End Current using Transmission Efficiency in Nominal Pi Method?

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