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Sending End Voltage using Transmission Efficiency in Nominal Pi Method Formula

GoSending End Voltage using Voltage Regulation in Nominal Pi Method Formula

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Sending End Voltage in PI is the voltage at the sending end of a transmission line. Check FAQs

V s(pi) = \frac{P r(pi)}{3 \cdot \cos (Φ s(pi)) \cdot I s(pi)} / η pi

V_s(pi) - Sending End Voltage in PI?P_r(pi) - Receiving End Power in PI?Φ_s(pi) - Sending End Phase Angle in PI?I_s(pi) - Sending End Current in PI?η_pi - Transmission Efficiency in PI?

Sending End Voltage using Transmission Efficiency in Nominal Pi Method Example

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Here is how the Sending End Voltage using Transmission Efficiency in Nominal Pi Method equation looks like with Values.

Here is how the Sending End Voltage using Transmission Efficiency in Nominal Pi Method equation looks like with Units.

Here is how the Sending End Voltage using Transmission Efficiency in Nominal Pi Method equation looks like.

402.2991 = \frac{250.1}{3 \cdot \cos (22) \cdot 0.3} / 0.745

402.2991V = \frac{250.1W}{3 \cdot \cos (22°) \cdot 0.3A} / 0.745

402.2991 = \frac{250.1}{3 \cdot \cos (22) \cdot 0.3} / 0.745

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Sending End Voltage using Transmission Efficiency in Nominal Pi Method Solution

Follow our step by step solution on how to calculate Sending End Voltage using Transmission Efficiency in Nominal Pi Method?

FIRST Step Consider the formula

V s(pi) = \frac{P r(pi)}{3 \cdot \cos (Φ s(pi)) \cdot I s(pi)} / η pi

Next Step Substitute values of Variables

∴

V s(pi) = \frac{250.1W}{3 \cdot \cos (22°) \cdot 0.3A} / 0.745

Next Step Convert Units

∴

V s(pi) = \frac{250.1W}{3 \cdot \cos (0.384rad) \cdot 0.3A} / 0.745

Next Step Prepare to Evaluate

∴

V s(pi) = \frac{250.1}{3 \cdot \cos (0.384) \cdot 0.3} / 0.745

Next Step Evaluate

∴

V s(pi) = 402.299088953998V

LAST Step Rounding Answer

∴

V s(pi) = 402.2991V

Sending End Voltage using Transmission Efficiency in Nominal Pi Method Formula Elements

Variables

Functions

Sending End Voltage in PI

Sending End Voltage in PI is the voltage at the sending end of a transmission line.

Symbol: V_s(pi)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Sending End Voltage in PI

Receiving End Power in PI

Receiving End Power in PI is defined as the power at receiving end in a medium transmission line.

Symbol: P_r(pi)

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Receiving End Power in PI

Sending End Phase Angle in PI

Sending End Phase Angle in PI is the difference between the phasors of current and voltage at the sending end of a transmission line.

Symbol: Φ_s(pi)

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Sending End Phase Angle in PI

Sending End Current in PI

Sending End Current in PI is defined as the amount of current injected into a medium transmission line from the source or injectors.

Symbol: I_s(pi)

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Sending End Current in PI

Transmission Efficiency in PI

Transmission Efficiency in PI is the total sideband power by the total transmitted power.

Symbol: η_pi

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Transmission Efficiency in PI

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Sending End Voltage in PI

Go Sending End Voltage using Voltage Regulation in Nominal Pi Method

V s(pi) = V r(pi) \cdot (%V pi + 1)

Other formulas in Nominal Pi Method in Medium Line category

Go Losses in Nominal Pi Method

P loss(pi) = ({I L(pi)}^{2}) \cdot R pi

Go Resistance using Losses in Nominal Pi Method

R pi = \frac{P loss(pi)}{{I L(pi)}^{2}}

Go Load Current using Losses in Nominal Pi Method

I L(pi) = \sqrt{\frac{P loss(pi)}{R pi}}

Go Receiving End Voltage using Sending End Power in Nominal Pi Method

V r(pi) = \frac{P s(pi) - P loss(pi)}{I r(pi) \cdot \cos (Φ r(pi))}

How to Evaluate Sending End Voltage using Transmission Efficiency in Nominal Pi Method?

Sending End Voltage using Transmission Efficiency in Nominal Pi Method evaluator 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 evaluate 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 evaluate Sending End Voltage using Transmission Efficiency in Nominal Pi Method using this online evaluator? To use this online evaluator 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.

FAQs on Sending End Voltage using Transmission Efficiency in Nominal Pi Method

What is the formula to find Sending End Voltage using Transmission Efficiency in Nominal Pi Method?

The formula of Sending End Voltage using Transmission Efficiency in Nominal Pi Method is expressed as 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. Here is an example- 7.496256 = 250.1/(3*cos(0.38397243543868)*0.3)/0.745.

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

With 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) we can find Sending End Voltage using Transmission Efficiency in Nominal Pi Method using the formula - 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. This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Sending End Voltage in PI?

Here are the different ways to Calculate Sending End Voltage in PI-

Sending End Voltage in PI=Receiving End Voltage in PI*(Voltage Regulation in PI+1)

Can the Sending End Voltage using Transmission Efficiency in Nominal Pi Method be negative?

No, the Sending End Voltage using Transmission Efficiency in Nominal Pi Method, measured in Electric Potential cannot be negative.

Which unit is used to measure Sending End Voltage using Transmission Efficiency in Nominal Pi Method?

Sending End Voltage using Transmission Efficiency in Nominal Pi Method is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Sending End Voltage using Transmission Efficiency in Nominal Pi Method can be measured.

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Sending End Voltage using Transmission Efficiency in Nominal Pi Method Formula

​GoSending End Voltage using Voltage Regulation in Nominal Pi Method Formula

Sending End Voltage using Transmission Efficiency in Nominal Pi Method Example

Sending End Voltage using Transmission Efficiency in Nominal Pi Method Solution

Sending End Voltage using Transmission Efficiency in Nominal Pi Method Formula Elements

Other Formulas to find Sending End Voltage in PI

Other formulas in Nominal Pi Method in Medium Line category

How to Evaluate Sending End Voltage using Transmission Efficiency in Nominal Pi Method?

FAQs on Sending End Voltage using Transmission Efficiency in Nominal Pi Method

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GoSending End Voltage using Voltage Regulation in Nominal Pi Method Formula