Receiving End Angle using Receiving End Power (STL) Calculator

✖Receiving End Power is defined as the power at receiving end in a short transmission line.ⓘ Receiving End Power [P_r]			+10% -10%
✖Receiving End Voltage is the voltage developed at the receiving end of a short transmission line.ⓘ Receiving End Voltage [V_r]			+10% -10%
✖Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line.ⓘ Receiving End Current [I_r]			+10% -10%

✖Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line.ⓘ Receiving End Angle using Receiving End Power (STL) [Φ_r]

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Receiving End Angle using Receiving End Power (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Receiving End Phase Angle = acos(Receiving End Power/(3*Receiving End Voltage*Receiving End Current))
Φ_r = acos(P_r/(3*V_r*I_r))
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

Receiving End Phase Angle - (Measured in Radian) - Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line.
Receiving End Power - (Measured in Watt) - Receiving End Power is defined as the power at receiving end in a short transmission line.
Receiving End Voltage - (Measured in Volt) - Receiving End Voltage is the voltage developed at the receiving end of a short transmission line.
Receiving End Current - (Measured in Ampere) - Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line.

STEP 1: Convert Input(s) to Base Unit

Receiving End Power: 1150 Watt --> 1150 Watt No Conversion Required
Receiving End Voltage: 380 Volt --> 380 Volt No Conversion Required
Receiving End Current: 3.9 Ampere --> 3.9 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_r = acos(P_r/(3*V_r*I_r)) --> acos(1150/(3*380*3.9))

Evaluating ... ...

Φ_r = 1.30916214048569

STEP 3: Convert Result to Output's Unit

1.30916214048569 Radian -->75.0094653481571 Degree (Check conversion here)

FINAL ANSWER

75.0094653481571 ≈ 75.00947 Degree <-- Receiving End Phase Angle

(Calculation completed in 00.020 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Power and Phase Difference Calculators

Receiving End Angle using Transmission Efficiency (STL)

LaTeX 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)

LaTeX 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))

Receiving End Power (STL)

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

Transmitted Current (SC Line)

LaTeX Go Transmitted Current = Transmitted Voltage/Characteristic Impedance

Receiving End Angle using Receiving End Power (STL) Formula

LaTeX Go

Receiving End Phase Angle = acos(Receiving End Power/(3*Receiving End Voltage*Receiving End Current))
Φ_r = acos(P_r/(3*V_r*I_r))

What are the applications of short transmission lines?

Short transmission lines find applications in localized power distribution, such as within buildings, industrial facilities, and short-distance connections. They're used in small-scale power networks, connecting generators, transformers, and loads where shorter distances and lower voltage levels are involved, often within a limited geographical area.

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

Receiving End Angle using Receiving End Power (STL) calculator uses Receiving End Phase Angle = acos(Receiving End Power/(3*Receiving End Voltage*Receiving End Current)) to calculate the Receiving End Phase Angle, The Receiving End Angle using Receiving End Power (STL) is the phase angle of the voltage at the load end relative to the source 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. Receiving End Phase Angle is denoted by Φ_r symbol.

How to calculate Receiving End Angle using Receiving End Power (STL) using this online calculator? To use this online calculator for Receiving End Angle using Receiving End Power (STL), enter Receiving End Power (P_r), Receiving End Voltage (V_r) & Receiving End Current (I_r) and hit the calculate button. Here is how the Receiving End Angle using Receiving End Power (STL) calculation can be explained with given input values -> 4971.929 = acos(1150/(3*380*3.9)).

FAQ

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

The Receiving End Angle using Receiving End Power (STL) is the phase angle of the voltage at the load end relative to the source 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 and is represented as Φ_r = acos(P_r/(3*V_r*I_r)) or Receiving End Phase Angle = acos(Receiving End Power/(3*Receiving End Voltage*Receiving End Current)). Receiving End Power is defined as the power at receiving end in a short transmission line, Receiving End Voltage is the voltage developed at the receiving end of a short transmission line & Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line.

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

The Receiving End Angle using Receiving End Power (STL) is the phase angle of the voltage at the load end relative to the source 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 is calculated using Receiving End Phase Angle = acos(Receiving End Power/(3*Receiving End Voltage*Receiving End Current)). To calculate Receiving End Angle using Receiving End Power (STL), you need Receiving End Power (P_r), Receiving End Voltage (V_r) & Receiving End Current (I_r). With our tool, you need to enter the respective value for Receiving End Power, Receiving End Voltage & Receiving 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 Receiving End Phase Angle?

In this formula, Receiving End Phase Angle uses Receiving End Power, Receiving End Voltage & Receiving End Current. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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