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

GoReceiving End Voltage using Voltage Regulation in Nominal Pi Method Formula

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Receiving End Voltage in PI is the voltage developed at the receiving end of a transmission line. Check FAQs

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

V_r(pi) - Receiving End Voltage in PI?P_s(pi) - Sending End Power in PI?P_loss(pi) - Power Loss in PI?I_r(pi) - Receiving End Current in PI?Φ_r(pi) - Receiving End Phase Angle in PI?

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

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

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

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

957.2716 = \frac{335 - 85.2}{7.44 \cdot \cos (87.99)}

957.2716V = \frac{335W - 85.2W}{7.44A \cdot \cos (87.99°)}

957.2716 = \frac{335 - 85.2}{7.44 \cdot \cos (87.99)}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V r(pi) = \frac{335W - 85.2W}{7.44A \cdot \cos (87.99°)}

Next Step Convert Units

∴

V r(pi) = \frac{335W - 85.2W}{7.44A \cdot \cos (1.5357rad)}

Next Step Prepare to Evaluate

∴

V r(pi) = \frac{335 - 85.2}{7.44 \cdot \cos (1.5357)}

Next Step Evaluate

∴

V r(pi) = 957.271561346852V

LAST Step Rounding Answer

∴

V r(pi) = 957.2716V

Receiving End Voltage using Sending End Power in Nominal Pi Method Formula Elements

Variables

Functions

Receiving End Voltage in PI

Receiving End Voltage in PI is the voltage developed at the receiving end of a transmission line.

Symbol: V_r(pi)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Receiving End Voltage in PI

Sending End Power in PI

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

Symbol: P_s(pi)

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Sending End Power in PI

Power Loss in PI

Power Loss in PI is defined as the deviation in the power transferred from sending end to receiving end of a medium transmission line.

Symbol: P_loss(pi)

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power Loss in PI

Receiving End Current in PI

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.

Symbol: I_r(pi)

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Receiving End Current in PI

Receiving End Phase Angle in PI

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

Symbol: Φ_r(pi)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Receiving End Phase Angle 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 Receiving End Voltage in PI

Go Receiving End Voltage using Voltage Regulation in Nominal Pi Method

V r(pi) = \frac{V s(pi)}{%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 Load Current using Transmission Efficiency in Nominal Pi Method

I L(pi) = \sqrt{\frac{(\frac{P r(pi)}{η pi}) - P r(pi)}{R pi} \cdot 3}

How to Evaluate Receiving End Voltage using Sending End Power in Nominal Pi Method?

Receiving End Voltage using Sending End Power in Nominal Pi Method evaluator uses 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)) to evaluate the Receiving End Voltage in PI, The Receiving End Voltage using Sending End Power in Nominal Pi Method formula is defined as the voltage at the receiving end of the medium transmission line. Receiving End Voltage in PI is denoted by V_r(pi) symbol.

How to evaluate Receiving End Voltage using Sending End Power in Nominal Pi Method using this online evaluator? To use this online evaluator for Receiving End Voltage using Sending End Power in Nominal Pi Method, enter Sending End Power in PI (P_s(pi)), Power Loss in PI (P_loss(pi)), Receiving End Current in PI (I_r(pi)) & Receiving End Phase Angle in PI (Φ_r(pi)) and hit the calculate button.

FAQs on Receiving End Voltage using Sending End Power in Nominal Pi Method

What is the formula to find Receiving End Voltage using Sending End Power in Nominal Pi Method?

The formula of Receiving End Voltage using Sending End Power in Nominal Pi Method is expressed as 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)). Here is an example- 962.056 = (335-85.2)/(7.44*cos(1.53571520882952)).

How to calculate Receiving End Voltage using Sending End Power in Nominal Pi Method?

With Sending End Power in PI (P_s(pi)), Power Loss in PI (P_loss(pi)), Receiving End Current in PI (I_r(pi)) & Receiving End Phase Angle in PI (Φ_r(pi)) we can find Receiving End Voltage using Sending End Power in Nominal Pi Method using the formula - 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)). This formula also uses Cosine (cos) function(s).

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

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

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

Can the Receiving End Voltage using Sending End Power in Nominal Pi Method be negative?

Yes, the Receiving End Voltage using Sending End Power in Nominal Pi Method, measured in Electric Potential can be negative.

Which unit is used to measure Receiving End Voltage using Sending End Power in Nominal Pi Method?

Receiving End Voltage using Sending End Power 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 Receiving End Voltage using Sending End Power in Nominal Pi Method can be measured.

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

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

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

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

Receiving End Voltage using Sending End Power in Nominal Pi Method Formula Elements

Other Formulas to find Receiving End Voltage in PI

Other formulas in Nominal Pi Method in Medium Line category

How to Evaluate Receiving End Voltage using Sending End Power in Nominal Pi Method?

FAQs on Receiving End Voltage using Sending End Power in Nominal Pi Method

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GoReceiving End Voltage using Voltage Regulation in Nominal Pi Method Formula