Receiving End Angle using Transmission Efficiency (STL) Calculator

✖Transmission Efficiency in a short transmission line measures the ratio of power delivered to the load versus power sent from the source, typically high due to minimal losses.ⓘ Transmission Efficiency [η]			+10% -10%
✖Sending End Voltage is the voltage at the sending end of a short 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 Phase Angle [Φ_s]			+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 Voltage is the voltage developed at the receiving end of a short transmission line.ⓘ Receiving End Voltage [V_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 Transmission Efficiency (STL) [Φ_r]

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Receiving End Angle using Transmission Efficiency (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Receiving End Phase Angle = acos(Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*Receiving End Voltage))
Φ_r = acos(η*V_s*I_s*cos(Φ_s)/(I_r*V_r))
This formula uses 2 Functions, 7 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.
Transmission Efficiency - Transmission Efficiency in a short transmission line measures the ratio of power delivered to the load versus power sent from the source, typically high due to minimal losses.
Sending End Voltage - (Measured in Volt) - Sending End Voltage is the voltage at the sending end of a short 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.
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.
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.
Receiving End Voltage - (Measured in Volt) - Receiving End Voltage is the voltage developed at the receiving end of a short transmission line.

STEP 1: Convert Input(s) to Base Unit

Transmission Efficiency: 0.278 --> 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
Sending End Phase Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Receiving End Current: 3.9 Ampere --> 3.9 Ampere No Conversion Required
Receiving End Voltage: 380 Volt --> 380 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_r = acos(η*V_s*I_s*cos(Φ_s)/(I_r*V_r)) --> acos(0.278*400*3.98*cos(0.5235987755982)/(3.9*380))

Evaluating ... ...

Φ_r = 1.3091979572087

STEP 3: Convert Result to Output's Unit

1.3091979572087 Radian -->75.0115174952215 Degree (Check conversion here)

FINAL ANSWER

75.0115174952215 ≈ 75.01152 Degree <-- Receiving End Phase Angle

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Short Line » Power and Phase Difference » Receiving End Angle using Transmission Efficiency (STL)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

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Osmania University (OU), Hyderabad

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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 Transmission Efficiency (STL) Formula

LaTeX Go

What is the difference between efficiency and transmission efficiency?

Efficiency generally refers to the ratio of useful output to input in a system, considering losses. Transmission efficiency specifically pertains to the effectiveness of transferring power or data through a medium or system, focusing on minimizing losses during the transmission process from a source to a destination.

How to Calculate Receiving End Angle using Transmission Efficiency (STL)?

Receiving End Angle using Transmission Efficiency (STL) calculator uses Receiving End Phase Angle = acos(Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*Receiving End Voltage)) to calculate the Receiving End Phase Angle, The Receiving End Angle using Transmission Efficiency (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 Transmission Efficiency (STL) using this online calculator? To use this online calculator for Receiving End Angle using Transmission Efficiency (STL), enter Transmission Efficiency (η), Sending End Voltage (V_s), Sending End Current (I_s), Sending End Phase Angle (Φ_s), Receiving End Current (I_r) & Receiving End Voltage (V_r) and hit the calculate button. Here is how the Receiving End Angle using Transmission Efficiency (STL) calculation can be explained with given input values -> 3568.375 = acos(0.278*400*3.98*cos(0.5235987755982)/(3.9*380)).

FAQ

What is Receiving End Angle using Transmission Efficiency (STL)?

The Receiving End Angle using Transmission Efficiency (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(η*V_s*I_s*cos(Φ_s)/(I_r*V_r)) or Receiving End Phase Angle = acos(Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*Receiving End Voltage)). Transmission Efficiency in a short transmission line measures the ratio of power delivered to the load versus power sent from the source, typically high due to minimal losses, Sending End Voltage is the voltage at the sending end of a short transmission line, Sending End Current is defined as the amount of current injected into a short transmission line from the source or injectors, Sending End Phase Angle is the difference between the phasors of current and voltage at thee sending 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 & Receiving End Voltage is the voltage developed at the receiving end of a short transmission line.

How to calculate Receiving End Angle using Transmission Efficiency (STL)?

The Receiving End Angle using Transmission Efficiency (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(Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*Receiving End Voltage)). To calculate Receiving End Angle using Transmission Efficiency (STL), you need Transmission Efficiency (η), Sending End Voltage (V_s), Sending End Current (I_s), Sending End Phase Angle (Φ_s), Receiving End Current (I_r) & Receiving End Voltage (V_r). With our tool, you need to enter the respective value for Transmission Efficiency, Sending End Voltage, Sending End Current, Sending End Phase Angle, Receiving End Current & Receiving End Voltage 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 Transmission Efficiency, Sending End Voltage, Sending End Current, Sending End Phase Angle, Receiving End Current & Receiving End Voltage. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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