Sending End Angle using Receiving End Parameters (STL) Calculator

✖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 Phase Angle [Φ_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%
✖Resistance is defined as a measure of the opposition to current flow in a short transmission line.ⓘ Resistance [R]			+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 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 Receiving End Parameters (STL) [Φ_s]

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Sending End Angle using Receiving End Parameters (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage)
Φ_s = acos((V_r*cos(Φ_r)+(I_r*R))/V_s)
This formula uses 2 Functions, 6 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.
Receiving End Voltage - (Measured in Volt) - Receiving End Voltage is the voltage developed at the receiving end of a short transmission line.
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 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.
Resistance - (Measured in Ohm) - Resistance is defined as a measure of the opposition to current flow in a short transmission line.
Sending End Voltage - (Measured in Volt) - Sending End Voltage is the voltage at the sending end of a short transmission line.

STEP 1: Convert Input(s) to Base Unit

Receiving End Voltage: 380 Volt --> 380 Volt No Conversion Required
Receiving End Phase Angle: 75 Degree --> 1.3089969389955 Radian (Check conversion here)
Receiving End Current: 3.9 Ampere --> 3.9 Ampere No Conversion Required
Resistance: 65.7 Ohm --> 65.7 Ohm No Conversion Required
Sending End Voltage: 400 Volt --> 400 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_s = acos((V_r*cos(Φ_r)+(I_r*R))/V_s) --> acos((380*cos(1.3089969389955)+(3.9*65.7))/400)

Evaluating ... ...

Φ_s = 0.481172033881276

STEP 3: Convert Result to Output's Unit

0.481172033881276 Radian -->27.5691267611282 Degree (Check conversion here)

FINAL ANSWER

27.5691267611282 ≈ 27.56913 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 and Phase Difference » Sending End Angle using Receiving End Parameters (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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Chandigarh University (CU), Punjab

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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

Sending End Angle using Receiving End Parameters (STL) Formula

LaTeX Go

Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage)
Φ_s = acos((V_r*cos(Φ_r)+(I_r*R))/V_s)

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 Sending End Angle using Receiving End Parameters (STL)?

Sending End Angle using Receiving End Parameters (STL) calculator uses Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage) to calculate 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 calculate Sending End Angle using Receiving End Parameters (STL) using this online calculator? To use this online calculator 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. Here is how the Sending End Angle using Receiving End Parameters (STL) calculation can be explained with given input values -> 3513.524 = acos((380*cos(1.3089969389955)+(3.9*65.7))/400).

FAQ

What is Sending End Angle using Receiving End Parameters (STL)?

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 and is represented as Φ_s = acos((V_r*cos(Φ_r)+(I_r*R))/V_s) or Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage). Receiving End Voltage is the voltage developed at the receiving end of a short transmission line, 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 Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line, Resistance is defined as a measure of the opposition to current flow in a short transmission line & Sending End Voltage is the voltage at the sending end of a short transmission line.

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

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 is calculated using Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage). To calculate Sending End Angle using Receiving End Parameters (STL), you need Receiving End Voltage (V_r), Receiving End Phase Angle (Φ_r), Receiving End Current (I_r), Resistance (R) & Sending End Voltage (V_s). With our tool, you need to enter the respective value for Receiving End Voltage, Receiving End Phase Angle, Receiving End Current, Resistance & Sending 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 Sending End Phase Angle?

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

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

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