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Sending End Angle using Receiving End Parameters (STL) Formula

GoSending End Angle using Sending End Power (STL) Formula

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Sending End Phase Angle is the difference between the phasors of current and voltage at thee sending end of a short transmission line. Check FAQs

Φ s = a \cos (\frac{V r \cdot \cos (Φ r) + (I r \cdot R)}{V s})

Φ_s - Sending End Phase Angle?V_r - Receiving End Voltage?Φ_r - Receiving End Phase Angle?I_r - Receiving End Current?R - Resistance?V_s - Sending End Voltage?

Sending End Angle using Receiving End Parameters (STL) Example

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Here is how the Sending End Angle using Receiving End Parameters (STL) equation looks like with Values.

Here is how the Sending End Angle using Receiving End Parameters (STL) equation looks like with Units.

Here is how the Sending End Angle using Receiving End Parameters (STL) equation looks like.

27.5691 = a \cos (\frac{380 \cdot \cos (75) + (3.9 \cdot 65.7)}{400})

27.5691° = a \cos (\frac{380V \cdot \cos (75°) + (3.9A \cdot 65.7Ω)}{400V})

27.5691 = a \cos (\frac{380 \cdot \cos (75) + (3.9 \cdot 65.7)}{400})

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Sending End Angle using Receiving End Parameters (STL) Solution

Follow our step by step solution on how to calculate Sending End Angle using Receiving End Parameters (STL)?

FIRST Step Consider the formula

Φ s = a \cos (\frac{V r \cdot \cos (Φ r) + (I r \cdot R)}{V s})

Next Step Substitute values of Variables

∴

Φ s = a \cos (\frac{380V \cdot \cos (75°) + (3.9A \cdot 65.7Ω)}{400V})

Next Step Convert Units

∴

Φ s = a \cos (\frac{380V \cdot \cos (1.309rad) + (3.9A \cdot 65.7Ω)}{400V})

Next Step Prepare to Evaluate

∴

Φ s = a \cos (\frac{380 \cdot \cos (1.309) + (3.9 \cdot 65.7)}{400})

Next Step Evaluate

∴

Φ s = 0.481172033881276rad

Next Step Convert to Output's Unit

∴

Φ s = 27.5691267611282°

LAST Step Rounding Answer

∴

Φ s = 27.5691°

Sending End Angle using Receiving End Parameters (STL) Formula Elements

Variables

Functions

Sending End Phase Angle

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

Symbol: Φ_s

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Sending End Phase Angle

Receiving End Voltage

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

Symbol: V_r

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Receiving End Voltage

Receiving End Phase Angle

Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line.

Symbol: Φ_r

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Receiving End Phase Angle

Receiving End Current

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

Symbol: I_r

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Receiving End Current

Resistance

Resistance is defined as a measure of the opposition to current flow in a short transmission line.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance

Sending End Voltage

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

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Sending End Voltage

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 to find Sending End Phase Angle

Go Sending End Angle using Sending End Power (STL)

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

Other formulas in Power and Phase Difference category

Go Transmitted Current (SC Line)

I t = \frac{V t}{Z 0}

Go Receiving End Angle using Transmission Efficiency (STL)

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

Go Receiving End Angle using Losses (STL)

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

Go Receiving End Power (STL)

P r = 3 \cdot V r \cdot I r \cdot \cos (Φ r)

How to Evaluate Sending End Angle using Receiving End Parameters (STL)?

Sending End Angle using Receiving End Parameters (STL) evaluator uses Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage) to evaluate the Sending End Phase Angle, The Sending End Angle using Receiving End Parameters (STL) is the phase angle of the voltage at the source end relative to the load voltage. In short lines, this angle is typically small due to negligible reactive components, indicating minimal phase shift and efficient power transfer from the source to the load. Sending End Phase Angle is denoted by Φ_s symbol.

How to evaluate Sending End Angle using Receiving End Parameters (STL) using this online evaluator? To use this online evaluator for Sending End Angle using Receiving End Parameters (STL), enter Receiving End Voltage (V_r), Receiving End Phase Angle (Φ_r), Receiving End Current (I_r), Resistance (R) & Sending End Voltage (V_s) and hit the calculate button.

FAQs on Sending End Angle using Receiving End Parameters (STL)

What is the formula to find Sending End Angle using Receiving End Parameters (STL)?

The formula of Sending End Angle using Receiving End Parameters (STL) is expressed as Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage). Here is an example- 3513.524 = acos((380*cos(1.3089969389955)+(3.9*65.7))/400).

How to calculate Sending End Angle using Receiving End Parameters (STL)?

With Receiving End Voltage (V_r), Receiving End Phase Angle (Φ_r), Receiving End Current (I_r), Resistance (R) & Sending End Voltage (V_s) we can find Sending End Angle using Receiving End Parameters (STL) using the formula - Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

What are the other ways to Calculate Sending End Phase Angle?

Here are the different ways to Calculate Sending End Phase Angle-

Sending End Phase Angle=acos(Sending End Power/(Sending End Voltage*Sending End Current*3))

Can the Sending End Angle using Receiving End Parameters (STL) be negative?

Yes, the Sending End Angle using Receiving End Parameters (STL), measured in Angle can be negative.

Which unit is used to measure Sending End Angle using Receiving End Parameters (STL)?

Sending End Angle using Receiving End Parameters (STL) is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Sending End Angle using Receiving End Parameters (STL) can be measured.

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Sending End Angle using Receiving End Parameters (STL) Formula

​GoSending End Angle using Sending End Power (STL) Formula

Sending End Angle using Receiving End Parameters (STL) Example

Sending End Angle using Receiving End Parameters (STL) Solution

Sending End Angle using Receiving End Parameters (STL) Formula Elements

Other Formulas to find Sending End Phase Angle

Other formulas in Power and Phase Difference category

How to Evaluate Sending End Angle using Receiving End Parameters (STL)?

FAQs on Sending End Angle using Receiving End Parameters (STL)

Variable Name

GoSending End Angle using Sending End Power (STL) Formula