Sending End Angle using Sending End Power (STL) Calculator

✖Sending End Power is defined as the power at receiving end of a short transmission line.ⓘ Sending End Power [P_s]			+10% -10%
✖Sending end voltage is the voltage at the sending end of a transmission line.ⓘ Sending End Voltage [V_s]			+10% -10%
✖Sending End Current is defined as the amount of current injected into a short transmission line from the source or injectors.ⓘ Sending End Current [I_s]			+10% -10%

✖Sending End Phase Angle is the difference between the phasors of current and voltage at thee sending end of a short transmission line.ⓘ Sending End Angle using Sending End Power (STL) [Φ_s]

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Formula

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Sending End Angle using Sending End Power (STL)

Formula

`"Φ"_{"s"} = acos("P"_{"s"}/("V"_{"s"}*"I"_{"s"}*3))`

Example

`"30.00329°"=acos("4136W"/("400V"*"3.98A"*3))`

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Sending End Angle using Sending End Power (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sending End Phase Angle = acos(Sending End Power/(Sending End Voltage*Sending End Current*3))
Φ_s = acos(P_s/(V_s*I_s*3))
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., acos(Number)

Variables Used

Sending End Phase Angle - (Measured in Radian) - Sending End Phase Angle is the difference between the phasors of current and voltage at thee sending end of a short transmission line.
Sending End Power - (Measured in Watt) - Sending End Power is defined as the power at receiving end of a short transmission line.
Sending End Voltage - (Measured in Volt) - Sending end voltage is the voltage at the sending end of a transmission line.
Sending End Current - (Measured in Ampere) - Sending End Current is defined as the amount of current injected into a short transmission line from the source or injectors.

STEP 1: Convert Input(s) to Base Unit

Sending End Power: 4136 Watt --> 4136 Watt No Conversion Required
Sending End Voltage: 400 Volt --> 400 Volt No Conversion Required
Sending End Current: 3.98 Ampere --> 3.98 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_s = acos(P_s/(V_s*I_s*3)) --> acos(4136/(400*3.98*3))

Evaluating ... ...

Φ_s = 0.52365628047093

STEP 3: Convert Result to Output's Unit

0.52365628047093 Radian -->30.0032947865089 Degree (Check conversion here)

FINAL ANSWER

30.0032947865089 ≈ 30.00329 Degree <-- Sending End Phase Angle

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Short Line » Power & Phase Difference » Sending End Angle using Sending End Power (STL)

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< 8 Power & Phase Difference Calculators

Receiving End Angle using Transmission Efficiency (STL)

Go Receiving End Phase Angle = acos(Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*Receiving End Voltage))

Receiving End Angle using Losses (STL)

Go Receiving End Phase Angle = acos(((3*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle))-Power Loss)/(3*Receiving End Voltage*Receiving End Current))

Sending End Angle using Receiving End Parameters (STL)

Go Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage)

Receiving End Angle using Receiving End Power (STL)

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

Receiving End Power (STL)

Go Receiving End Power = 3*Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))

Sending End Angle using Sending End Power (STL)

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

Sending End Power (STL)

Go Sending End Power = 3*Sending End Current*Sending End Voltage*cos(Sending End Phase Angle)

Transmitted Current (SC Line)

Go Transmitted Current = Transmitted Voltage/Characteristic Impedance

Sending End Angle using Sending End Power (STL) Formula

Sending End Phase Angle = acos(Sending End Power/(Sending End Voltage*Sending End Current*3))
Φ_s = acos(P_s/(V_s*I_s*3))

What are losses of short transmission lines?

Short transmission lines incur losses primarily due to conductor resistance, dielectric losses in insulation, and leakage losses. Conductor resistance leads to I²R losses, while dielectric losses occur from the insulating materials. Leakage losses stem from the electric field extending beyond the line, dissipating energy.

How to Calculate Sending End Angle using Sending End Power (STL)?

Sending End Angle using Sending End Power (STL) calculator uses Sending End Phase Angle = acos(Sending End Power/(Sending End Voltage*Sending End Current*3)) to calculate the Sending End Phase Angle, The Sending End Angle using Sending End Power (STL) formula is defined as the angle between sending end current and sending voltage of the short transmission line. Sending End Phase Angle is denoted by Φ_s symbol.

How to calculate Sending End Angle using Sending End Power (STL) using this online calculator? To use this online calculator for Sending End Angle using Sending End Power (STL), enter Sending End Power (P_s), Sending End Voltage (V_s) & Sending End Current (I_s) and hit the calculate button. Here is how the Sending End Angle using Sending End Power (STL) calculation can be explained with given input values -> 5019.109 = acos(4136/(400*3.98*3)).

FAQ

What is Sending End Angle using Sending End Power (STL)?

The Sending End Angle using Sending End Power (STL) formula is defined as the angle between sending end current and sending voltage of the short transmission line and is represented as Φ_s = acos(P_s/(V_s*I_s*3)) or Sending End Phase Angle = acos(Sending End Power/(Sending End Voltage*Sending End Current*3)). Sending End Power is defined as the power at receiving end of a short transmission line, Sending end voltage is the voltage at the sending end of a transmission line & Sending End Current is defined as the amount of current injected into a short transmission line from the source or injectors.

How to calculate Sending End Angle using Sending End Power (STL)?

The Sending End Angle using Sending End Power (STL) formula is defined as the angle between sending end current and sending voltage of the short transmission line is calculated using Sending End Phase Angle = acos(Sending End Power/(Sending End Voltage*Sending End Current*3)). To calculate Sending End Angle using Sending End Power (STL), you need Sending End Power (P_s), Sending End Voltage (V_s) & Sending End Current (I_s). With our tool, you need to enter the respective value for Sending End Power, Sending End Voltage & Sending End Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Sending End Phase Angle?

In this formula, Sending End Phase Angle uses Sending End Power, Sending End Voltage & Sending End Current. We can use 1 other way(s) to calculate the same, which is/are as follows -

Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage)

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