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)
Φs = acos((Vr*cos(Φr)+(Ir*R))/Vs)
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 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 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
Φs = acos((Vr*cos(Φr)+(Ir*R))/Vs) --> acos((380*cos(1.3089969389955)+(3.9*65.7))/400)
Evaluating ... ...
Φs = 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 00.020 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
Verified by Parminder Singh
Chandigarh University (CU), Punjab
Parminder Singh has verified this Calculator and 600+ more calculators!

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 Receiving End Parameters (STL) Formula

Sending End Phase Angle = acos((Receiving End Voltage*cos(Receiving End Phase Angle)+(Receiving End Current*Resistance))/Sending End Voltage)
Φs = acos((Vr*cos(Φr)+(Ir*R))/Vs)

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) formula is defined as the angle between sending end current and sending end voltage. Sending End Phase Angle is denoted by Φs 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 (Vr), Receiving End Phase Angle r), Receiving End Current (Ir), Resistance (R) & Sending End Voltage (Vs) 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) formula is defined as the angle between sending end current and sending end voltage and is represented as Φs = acos((Vr*cos(Φr)+(Ir*R))/Vs) 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 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 transmission line.
How to calculate Sending End Angle using Receiving End Parameters (STL)?
The Sending End Angle using receiving end parameters (STL) formula is defined as the angle between sending end current and sending end voltage 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 (Vr), Receiving End Phase Angle r), Receiving End Current (Ir), Resistance (R) & Sending End Voltage (Vs). 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))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!