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Receiving End Angle using Transmission Efficiency in Nominal Pi Method Formula

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

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

Φ_r(pi) - Receiving End Phase Angle in PI?η_pi - Transmission Efficiency in PI?P_s(pi) - Sending End Power in PI?I_r(pi) - Receiving End Current in PI?V_r(pi) - Receiving End Voltage in PI?

Receiving End Angle using Transmission Efficiency in Nominal Pi Method Example

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

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

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

87.9981 = a \cos (\frac{0.745 \cdot 335}{3 \cdot 7.44 \cdot 320.1})

87.9981° = a \cos (\frac{0.745 \cdot 335W}{3 \cdot 7.44A \cdot 320.1V})

87.9981 = a \cos (\frac{0.745 \cdot 335}{3 \cdot 7.44 \cdot 320.1})

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Receiving End Angle using Transmission Efficiency in Nominal Pi Method Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Φ r(pi) = a \cos (\frac{0.745 \cdot 335W}{3 \cdot 7.44A \cdot 320.1V})

Next Step Prepare to Evaluate

∴

Φ r(pi) = a \cos (\frac{0.745 \cdot 335}{3 \cdot 7.44 \cdot 320.1})

Next Step Evaluate

∴

Φ r(pi) = 1.53585739859534rad

Next Step Convert to Output's Unit

∴

Φ r(pi) = 87.9981468734714°

LAST Step Rounding Answer

∴

Φ r(pi) = 87.9981°

Receiving End Angle using Transmission Efficiency in Nominal Pi Method Formula Elements

Variables

Functions

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

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

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

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 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

cos

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

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

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 Receiving End Angle using Transmission Efficiency in Nominal Pi Method?

Receiving End Angle using Transmission Efficiency in Nominal Pi Method evaluator uses 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)) to evaluate the Receiving End Phase Angle in PI, The Receiving End Angle using Transmission Efficiency in Nominal Pi method formula is defined as the angle between receiving end voltage and receiving end current. Receiving End Phase Angle in PI is denoted by Φ_r(pi) symbol.

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

FAQs on Receiving End Angle using Transmission Efficiency in Nominal Pi Method

What is the formula to find Receiving End Angle using Transmission Efficiency in Nominal Pi Method?

The formula of Receiving End Angle using Transmission Efficiency in Nominal Pi Method is expressed as 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)). Here is an example- 5041.922 = acos((0.745*335)/(3*7.44*320.1)).

How to calculate Receiving End Angle using Transmission Efficiency in Nominal Pi Method?

With Transmission Efficiency in PI (η_pi), Sending End Power in PI (P_s(pi)), Receiving End Current in PI (I_r(pi)) & Receiving End Voltage in PI (V_r(pi)) we can find Receiving End Angle using Transmission Efficiency in Nominal Pi Method using the formula - 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)). This formula also uses Cosine, Inverse Cosine function(s).

Can the Receiving End Angle using Transmission Efficiency in Nominal Pi Method be negative?

No, the Receiving End Angle using Transmission Efficiency in Nominal Pi Method, measured in Angle cannot be negative.

Which unit is used to measure Receiving End Angle using Transmission Efficiency in Nominal Pi Method?

Receiving End Angle using Transmission Efficiency in Nominal Pi Method is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Receiving End Angle using Transmission Efficiency in Nominal Pi Method can be measured.

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Receiving End Angle using Transmission Efficiency in Nominal Pi Method Formula

Receiving End Angle using Transmission Efficiency in Nominal Pi Method Example

Receiving End Angle using Transmission Efficiency in Nominal Pi Method Solution

Receiving End Angle using Transmission Efficiency in Nominal Pi Method Formula Elements

Other formulas in Nominal Pi Method in Medium Line category

How to Evaluate Receiving End Angle using Transmission Efficiency in Nominal Pi Method?

FAQs on Receiving End Angle using Transmission Efficiency in Nominal Pi Method

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