Receiving End Voltage using Impedance (STL) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Receiving End Voltage = Sending End Voltage-(Receiving End Current*Impedance)
Vr = Vs-(Ir*Z)
This formula uses 4 Variables
Variables Used
Receiving End Voltage - (Measured in Volt) - Receiving End Voltage is the voltage developed at the 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 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.
Impedance - (Measured in Ohm) - Impedance in a short line combines resistance and inductive reactance, influencing voltage and current distribution, with capacitive reactance typically minimal.
STEP 1: Convert Input(s) to Base Unit
Sending End Voltage: 400 Volt --> 400 Volt No Conversion Required
Receiving End Current: 3.9 Ampere --> 3.9 Ampere No Conversion Required
Impedance: 5.12 Ohm --> 5.12 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vr = Vs-(Ir*Z) --> 400-(3.9*5.12)
Evaluating ... ...
Vr = 380.032
STEP 3: Convert Result to Output's Unit
380.032 Volt --> No Conversion Required
FINAL ANSWER
380.032 Volt <-- Receiving End Voltage
(Calculation completed in 00.020 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Voltage Calculators

Sending End Voltage using Power Factor(STL)
​ LaTeX ​ Go Sending End Voltage = sqrt(((Receiving End Voltage*cos(Receiving End Phase Angle))+(Receiving End Current*Resistance))^2+((Receiving End Voltage*sin(Receiving End Phase Angle))+(Receiving End Current*Capacitive Reactance))^2)
Sending End Voltage using Transmission Efficiency (STL)
​ LaTeX ​ Go Sending End Voltage = Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Current*cos(Sending End Phase Angle))
Sending End Voltage using Sending End Power (STL)
​ LaTeX ​ Go Sending End Voltage = Sending End Power/(3*Sending End Current*cos(Sending End Phase Angle))
Sending End Voltage in Transmission Line
​ LaTeX ​ Go Sending End Voltage = ((Voltage Regulation*Receiving End Voltage)/100)+Receiving End Voltage

Receiving End Voltage using Impedance (STL) Formula

​LaTeX ​Go
Receiving End Voltage = Sending End Voltage-(Receiving End Current*Impedance)
Vr = Vs-(Ir*Z)

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 Voltage using Impedance (STL)?

Receiving End Voltage using Impedance (STL) calculator uses Receiving End Voltage = Sending End Voltage-(Receiving End Current*Impedance) to calculate the Receiving End Voltage, The Receiving End Voltage using Impedance (STL) is the electrical potential difference at the load end relative to the source voltage. In short lines, this voltage is nearly identical to the source voltage due to minimal impedance effects, ensuring stable and efficient power delivery to the load with negligible voltage drop. Receiving End Voltage is denoted by Vr symbol.

How to calculate Receiving End Voltage using Impedance (STL) using this online calculator? To use this online calculator for Receiving End Voltage using Impedance (STL), enter Sending End Voltage (Vs), Receiving End Current (Ir) & Impedance (Z) and hit the calculate button. Here is how the Receiving End Voltage using Impedance (STL) calculation can be explained with given input values -> -122.6 = 400-(3.9*5.12).

FAQ

What is Receiving End Voltage using Impedance (STL)?
The Receiving End Voltage using Impedance (STL) is the electrical potential difference at the load end relative to the source voltage. In short lines, this voltage is nearly identical to the source voltage due to minimal impedance effects, ensuring stable and efficient power delivery to the load with negligible voltage drop and is represented as Vr = Vs-(Ir*Z) or Receiving End Voltage = Sending End Voltage-(Receiving End Current*Impedance). Sending End Voltage is the voltage at the 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 & Impedance in a short line combines resistance and inductive reactance, influencing voltage and current distribution, with capacitive reactance typically minimal.
How to calculate Receiving End Voltage using Impedance (STL)?
The Receiving End Voltage using Impedance (STL) is the electrical potential difference at the load end relative to the source voltage. In short lines, this voltage is nearly identical to the source voltage due to minimal impedance effects, ensuring stable and efficient power delivery to the load with negligible voltage drop is calculated using Receiving End Voltage = Sending End Voltage-(Receiving End Current*Impedance). To calculate Receiving End Voltage using Impedance (STL), you need Sending End Voltage (Vs), Receiving End Current (Ir) & Impedance (Z). With our tool, you need to enter the respective value for Sending End Voltage, Receiving End Current & Impedance 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 Voltage?
In this formula, Receiving End Voltage uses Sending End Voltage, Receiving End Current & Impedance. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Receiving End Voltage = Transmission Efficiency*Sending End Voltage*Sending End Current*cos(Sending End Phase Angle)/(Receiving End Current*cos(Receiving End Phase Angle))
  • Receiving End Voltage = Receiving End Power/(3*Receiving End Current*cos(Receiving End Phase Angle))
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