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Receiving End Angle using Sending End Power in End Condenser Method Formula

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

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

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

Receiving End Angle using Sending End Power in End Condenser Method Example

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

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

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

89.594 = a \cos (\frac{165 - 85}{3 \cdot 14.7 \cdot 256})

89.594° = a \cos (\frac{165W - 85W}{3 \cdot 14.7A \cdot 256V})

89.594 = a \cos (\frac{165 - 85}{3 \cdot 14.7 \cdot 256})

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Receiving End Angle using Sending End Power in End Condenser Method Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Φ r(ecm) = a \cos (\frac{165W - 85W}{3 \cdot 14.7A \cdot 256V})

Next Step Prepare to Evaluate

∴

Φ r(ecm) = a \cos (\frac{165 - 85}{3 \cdot 14.7 \cdot 256})

Next Step Evaluate

∴

Φ r(ecm) = 1.56371009968923rad

Next Step Convert to Output's Unit

∴

Φ r(ecm) = 89.593989094191°

LAST Step Rounding Answer

∴

Φ r(ecm) = 89.594°

Receiving End Angle using Sending End Power in End Condenser Method Formula Elements

Variables

Functions

Receiving End Phase Angle in ECM

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

Symbol: Φ_r(ecm)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Receiving End Phase Angle in ECM

Sending End Power in ECM

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

Symbol: P_s(ecm)

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Sending End Power in ECM

Power Loss in ECM

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

Symbol: P_loss(ecm)

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Power Loss in ECM

Receiving End Current in ECM

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

Symbol: I_r(ecm)

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Receiving End Current in ECM

Receiving End Voltage in ECM

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

Symbol: V_r(ecm)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Receiving End Voltage in ECM

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 End Condenser Method in Medium Line category

Go Sending End Current in End Condenser Method

I s(ecm) = I r(ecm) + I c(ecm)

Go Receiving End Current in End Condenser Method

I r(ecm) = I s(ecm) - I c(ecm)

Go Capacitive Current in End Condenser Method

I c(ecm) = I s(ecm) - I r(ecm)

Go Sending End Voltage in End Condenser Method

V s(ecm) = V r(ecm) + (I s(ecm) \cdot Z ecm)

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

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

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

FAQs on Receiving End Angle using Sending End Power in End Condenser Method

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

The formula of Receiving End Angle using Sending End Power in End Condenser Method is expressed as Receiving End Phase Angle in ECM = acos((Sending End Power in ECM-Power Loss in ECM)/(3*Receiving End Current in ECM*Receiving End Voltage in ECM)). Here is an example- 5133.357 = acos((165-85)/(3*14.7*256)).

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

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

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

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

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

Receiving End Angle using Sending End Power in End Condenser 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 End Condenser Method can be measured.

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Receiving End Angle using Sending End Power in End Condenser Method Formula

Receiving End Angle using Sending End Power in End Condenser Method Example

Receiving End Angle using Sending End Power in End Condenser Method Solution

Receiving End Angle using Sending End Power in End Condenser Method Formula Elements

Other formulas in End Condenser Method in Medium Line category

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

FAQs on Receiving End Angle using Sending End Power in End Condenser Method

Variable Name