Sending End Voltage using Sending End Power (STL) Calculator

✖Sending End Power is defined as the power at receiving end of a short transmission line.ⓘ Sending End Power [P_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%

✖Sending end voltage is the voltage at the sending end of a transmission line.ⓘ Sending End Voltage using Sending End Power (STL) [V_s]

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Formula

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Sending End Voltage using Sending End Power (STL)

Formula

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

Example

`"399.9867V"="4136W"/(3*"3.98A"*cos("30°"))`

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Sending End Voltage using Sending End Power (STL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sending End Voltage = Sending End Power/(3*Sending End Current*cos(Sending End Phase Angle))
V_s = P_s/(3*I_s*cos(Φ_s))
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

Sending End Voltage - (Measured in Volt) - Sending end voltage is the voltage at the sending end of a transmission line.
Sending End Power - (Measured in Watt) - Sending End Power is defined as the power at receiving 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.

STEP 1: Convert Input(s) to Base Unit

Sending End Power: 4136 Watt --> 4136 Watt 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = P_s/(3*I_s*cos(Φ_s)) --> 4136/(3*3.98*cos(0.5235987755982))

Evaluating ... ...

V_s = 399.986719157168

STEP 3: Convert Result to Output's Unit

399.986719157168 Volt --> No Conversion Required

FINAL ANSWER

399.986719157168 ≈ 399.9867 Volt <-- Sending End Voltage

(Calculation completed in 00.004 seconds)

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

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Birsa Institute of Technology (BIT), Sindri

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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

Sending End Voltage using Sending End Power (STL) Formula

Sending End Voltage = Sending End Power/(3*Sending End Current*cos(Sending End Phase Angle))
V_s = P_s/(3*I_s*cos(Φ_s))

What is short transmission line?

A short transmission line is a segment of a power line that's relatively brief in length compared to the wavelength of the signals it carries. Typically found in localized power distribution, it exhibits less complex behavior, often with negligible inductance and capacitance effects compared to longer lines.

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

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

How to calculate Sending End Voltage using Sending End Power (STL) using this online calculator? To use this online calculator for Sending End Voltage using Sending End Power (STL), enter Sending End Power (P_s), Sending End Current (I_s) & Sending End Phase Angle (Φ_s) and hit the calculate button. Here is how the Sending End Voltage using Sending End Power (STL) calculation can be explained with given input values -> 19.34172 = 4136/(3*3.98*cos(0.5235987755982)).

FAQ

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

The Sending End Voltage using Sending End Power (STL) formula is defined as the voltage at the sending end of the short transmission line and is represented as V_s = P_s/(3*I_s*cos(Φ_s)) or Sending End Voltage = Sending End Power/(3*Sending End Current*cos(Sending End Phase Angle)). Sending End Power is defined as the power at receiving 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.

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

The Sending End Voltage using Sending End Power (STL) formula is defined as the voltage at the sending end of the short transmission line is calculated using Sending End Voltage = Sending End Power/(3*Sending End Current*cos(Sending End Phase Angle)). To calculate Sending End Voltage using Sending End Power (STL), you need Sending End Power (P_s), Sending End Current (I_s) & Sending End Phase Angle (Φ_s). With our tool, you need to enter the respective value for Sending End Power, Sending End Current & Sending 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 Sending End Voltage?

In this formula, Sending End Voltage uses Sending End Power, Sending End Current & Sending End Phase Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = ((Voltage Regulation*Receiving End Voltage)/100)+Receiving End Voltage
Sending End Voltage = Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Current*(cos(Sending End Phase Angle)))

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