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Receiving End Angle using Sending End Power in Nominal T Method Formula

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

Φ r(t) = a \cos (\frac{P s(t) - P loss(t)}{V r(t) \cdot I r(t) \cdot 3})

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

Receiving End Angle using Sending End Power in Nominal T Method Example

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

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

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

90.3116 = a \cos (\frac{8.2 - 85.1}{320.2 \cdot 14.72 \cdot 3})

90.3116° = a \cos (\frac{8.2W - 85.1W}{320.2V \cdot 14.72A \cdot 3})

90.3116 = a \cos (\frac{8.2 - 85.1}{320.2 \cdot 14.72 \cdot 3})

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Receiving End Angle using Sending End Power in Nominal T Method Solution

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

FIRST Step Consider the formula

Φ r(t) = a \cos (\frac{P s(t) - P loss(t)}{V r(t) \cdot I r(t) \cdot 3})

Next Step Substitute values of Variables

∴

Φ r(t) = a \cos (\frac{8.2W - 85.1W}{320.2V \cdot 14.72A \cdot 3})

Next Step Prepare to Evaluate

∴

Φ r(t) = a \cos (\frac{8.2 - 85.1}{320.2 \cdot 14.72 \cdot 3})

Next Step Evaluate

∴

Φ r(t) = 1.57623481371499rad

Next Step Convert to Output's Unit

∴

Φ r(t) = 90.3116023474752°

LAST Step Rounding Answer

∴

Φ r(t) = 90.3116°

Receiving End Angle using Sending End Power in Nominal T Method Formula Elements

Variables

Functions

Receiving End Phase Angle in T

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

Symbol: Φ_r(t)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Receiving End Phase Angle in T

Sending End Power in T

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

Symbol: P_s(t)

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Sending End Power in T

Power Loss in T

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

Symbol: P_loss(t)

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power Loss in T

Receiving End Voltage in T

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

Symbol: V_r(t)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Receiving End Voltage in T

Receiving End Current in T

Receiving End Current in T is defined as the magnitude and phase angle of current received at the load end of a medium transmission line.

Symbol: I_r(t)

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Receiving End Current in T

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 T Method in Medium Line category

Go Losses in Nominal T Method

P loss(t) = 3 \cdot (\frac{R t}{2}) \cdot ({I r(t)}^{2} + {I s(t)}^{2})

Go Sending End Current using Losses in Nominal T Method

I s(t) = \sqrt{(\frac{P loss(t)}{\frac{3}{2}} \cdot R t) - ({I r(t)}^{2})}

Go Capacitive Voltage in Nominal T Method

V c(t) = V r(t) + (I r(t) \cdot \frac{Z t}{2})

Go Receiving End Voltage using Capacitive Voltage in Nominal T Method

V r(t) = V c(t) - (\frac{I r(t) \cdot Z t}{2})

How to Evaluate Receiving End Angle using Sending End Power in Nominal T Method?

Receiving End Angle using Sending End Power in Nominal T Method evaluator uses Receiving End Phase Angle in T = acos((Sending End Power in T-Power Loss in T)/(Receiving End Voltage in T*Receiving End Current in T*3)) to evaluate the Receiving End Phase Angle in T, The Receiving End Angle using Sending End Power in Nominal T method formula is defined as the angle between receiving end voltage and receiving end current. Receiving End Phase Angle in T is denoted by Φ_r(t) symbol.

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

FAQs on Receiving End Angle using Sending End Power in Nominal T Method

What is the formula to find Receiving End Angle using Sending End Power in Nominal T Method?

The formula of Receiving End Angle using Sending End Power in Nominal T Method is expressed as Receiving End Phase Angle in T = acos((Sending End Power in T-Power Loss in T)/(Receiving End Voltage in T*Receiving End Current in T*3)). Here is an example- 5174.474 = acos((8.2-85.1)/(320.2*14.72*3)).

How to calculate Receiving End Angle using Sending End Power in Nominal T Method?

With Sending End Power in T (P_s(t)), Power Loss in T (P_loss(t)), Receiving End Voltage in T (V_r(t)) & Receiving End Current in T (I_r(t)) we can find Receiving End Angle using Sending End Power in Nominal T Method using the formula - Receiving End Phase Angle in T = acos((Sending End Power in T-Power Loss in T)/(Receiving End Voltage in T*Receiving End Current in T*3)). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

Can the Receiving End Angle using Sending End Power in Nominal T Method be negative?

No, the Receiving End Angle using Sending End Power in Nominal T Method, measured in Angle cannot be negative.

Which unit is used to measure Receiving End Angle using Sending End Power in Nominal T Method?

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

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Receiving End Angle using Sending End Power in Nominal T Method Formula

Receiving End Angle using Sending End Power in Nominal T Method Example

Receiving End Angle using Sending End Power in Nominal T Method Solution

Receiving End Angle using Sending End Power in Nominal T Method Formula Elements

Other formulas in Nominal T Method in Medium Line category

How to Evaluate Receiving End Angle using Sending End Power in Nominal T Method?

FAQs on Receiving End Angle using Sending End Power in Nominal T Method

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