Receiving End Voltage 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 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 Phase Angle [Φ_r]			+10% -10%

✖Receiving end voltage is the voltage developed at the receiving end of a transmission line.ⓘ Receiving End Voltage using Receiving End Power (STL) [V_r]

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Formula

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Receiving End Voltage using Receiving End Power (STL)

Formula

`"V"_{"r"} = "P"_{"r"}/(3*"I"_{"r"}*cos("Φ"_{"r"}))`

Example

`"379.7657V"="1150W"/(3*"3.9A"*cos("75°"))`

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Receiving End Voltage using Receiving End Power (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Receiving End Voltage = Receiving End Power/(3*Receiving End Current*cos(Receiving End Phase Angle))
V_r = P_r/(3*I_r*cos(Φ_r))
This formula uses 1 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)

Variables Used

Receiving End Voltage - (Measured in Volt) - Receiving end voltage is the voltage developed at the receiving end of a 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 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 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.

STEP 1: Convert Input(s) to Base Unit

Receiving End Power: 1150 Watt --> 1150 Watt No Conversion Required
Receiving End Current: 3.9 Ampere --> 3.9 Ampere No Conversion Required
Receiving End Phase Angle: 75 Degree --> 1.3089969389955 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_r = P_r/(3*I_r*cos(Φ_r)) --> 1150/(3*3.9*cos(1.3089969389955))

Evaluating ... ...

V_r = 379.765709480822

STEP 3: Convert Result to Output's Unit

379.765709480822 Volt --> No Conversion Required

FINAL ANSWER

379.765709480822 ≈ 379.7657 Volt <-- Receiving End Voltage

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Short Line » Voltage » Receiving End Voltage using Receiving End Power (STL)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Osmania University (OU), Hyderabad

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< 8 Voltage Calculators

Sending End Voltage using Power Factor(STL)

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)

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)))

Receiving End Voltage using Transmission Efficiency (STL)

Go 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 using Receiving End Power (STL)

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

Sending End Voltage using Sending End Power (STL)

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

Sending End Voltage in Transmission Line

Go Sending End Voltage = ((Voltage Regulation*Receiving End Voltage)/100)+Receiving End Voltage

Receiving End Voltage using Impedance (STL)

Go Receiving End Voltage = Sending End Voltage-(Receiving End Current*Impedance)

Transmitted Inductance (SC Line)

Go Characteristic Impedance = Transmitted Voltage/Transmitted Current

Receiving End Voltage using Receiving End Power (STL) Formula

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

What measures can be taken to minimize losses in short transmission lines?

To minimize losses in short transmission lines, employing larger conductor sizes, reducing line length, optimizing operating voltages, improving insulation, and enhancing conductor materials can be effective. Additionally, employing efficient transformers, employing power factor correction, and minimizing impedance through better line design aid in loss reduction.

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

Receiving End Voltage using Receiving End Power (STL) calculator uses Receiving End Voltage = Receiving End Power/(3*Receiving End Current*cos(Receiving End Phase Angle)) to calculate the Receiving End Voltage, The Receiving End Voltage using Receiving End Power (STL) formula is defined as the voltage at receiving end of the short transmission line. Receiving End Voltage is denoted by V_r symbol.

How to calculate Receiving End Voltage using Receiving End Power (STL) using this online calculator? To use this online calculator for Receiving End Voltage using Receiving End Power (STL), enter Receiving End Power (P_r), Receiving End Current (I_r) & Receiving End Phase Angle (Φ_r) and hit the calculate button. Here is how the Receiving End Voltage using Receiving End Power (STL) calculation can be explained with given input values -> 82.55776 = 1150/(3*3.9*cos(1.3089969389955)).

FAQ

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

The Receiving End Voltage using Receiving End Power (STL) formula is defined as the voltage at receiving end of the short transmission line and is represented as V_r = P_r/(3*I_r*cos(Φ_r)) or Receiving End Voltage = Receiving End Power/(3*Receiving End Current*cos(Receiving End Phase Angle)). Receiving End Power is defined as the power at receiving end in 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 Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line.

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

The Receiving End Voltage using Receiving End Power (STL) formula is defined as the voltage at receiving end of the short transmission line is calculated using Receiving End Voltage = Receiving End Power/(3*Receiving End Current*cos(Receiving End Phase Angle)). To calculate Receiving End Voltage using Receiving End Power (STL), you need Receiving End Power (P_r), Receiving End Current (I_r) & Receiving End Phase Angle (Φ_r). With our tool, you need to enter the respective value for Receiving End Power, Receiving End Current & Receiving End Phase Angle 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 Receiving End Power, Receiving End Current & Receiving End Phase Angle. 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 = Sending End Voltage-(Receiving End Current*Impedance)

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