FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Sending End Voltage using Power Factor(STL) Formula

GoSending End Voltage in Transmission Line Formula

GoSending End Voltage using Sending End Power (STL) Formula

Fx Copy

LaTeX Copy

Sending End Voltage is the voltage at the sending end of a short transmission line. Check FAQs

V s = \sqrt{{((V r \cdot \cos (Φ r)) + (I r \cdot R))}^{2} + {((V r \cdot \sin (Φ r)) + (I r \cdot X c))}^{2}}

V_s - Sending End Voltage?V_r - Receiving End Voltage?Φ_r - Receiving End Phase Angle?I_r - Receiving End Current?R - Resistance?X_c - Capacitive Reactance?

Sending End Voltage using Power Factor(STL) Example

With values

With units

Only example

Here is how the Sending End Voltage using Power Factor(STL) equation looks like with Values.

Here is how the Sending End Voltage using Power Factor(STL) equation looks like with Units.

Here is how the Sending End Voltage using Power Factor(STL) equation looks like.

510.9091 = \sqrt{{((380 \cdot \cos (75)) + (3.9 \cdot 65.7))}^{2} + {((380 \cdot \sin (75)) + (3.9 \cdot 0.2))}^{2}}

510.9091V = \sqrt{{((380V \cdot \cos (75°)) + (3.9A \cdot 65.7Ω))}^{2} + {((380V \cdot \sin (75°)) + (3.9A \cdot 0.2Ω))}^{2}}

510.9091 = \sqrt{{((380 \cdot \cos (75)) + (3.9 \cdot 65.7))}^{2} + {((380 \cdot \sin (75)) + (3.9 \cdot 0.2))}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Power System » fx Sending End Voltage using Power Factor(STL)

Sending End Voltage using Power Factor(STL) Solution

Follow our step by step solution on how to calculate Sending End Voltage using Power Factor(STL)?

FIRST Step Consider the formula

V s = \sqrt{{((V r \cdot \cos (Φ r)) + (I r \cdot R))}^{2} + {((V r \cdot \sin (Φ r)) + (I r \cdot X c))}^{2}}

Next Step Substitute values of Variables

∴

V s = \sqrt{{((380V \cdot \cos (75°)) + (3.9A \cdot 65.7Ω))}^{2} + {((380V \cdot \sin (75°)) + (3.9A \cdot 0.2Ω))}^{2}}

Next Step Convert Units

∴

V s = \sqrt{{((380V \cdot \cos (1.309rad)) + (3.9A \cdot 65.7Ω))}^{2} + {((380V \cdot \sin (1.309rad)) + (3.9A \cdot 0.2Ω))}^{2}}

Next Step Prepare to Evaluate

∴

V s = \sqrt{{((380 \cdot \cos (1.309)) + (3.9 \cdot 65.7))}^{2} + {((380 \cdot \sin (1.309)) + (3.9 \cdot 0.2))}^{2}}

Next Step Evaluate

∴

V s = 510.909088893612V

LAST Step Rounding Answer

∴

V s = 510.9091V

Sending End Voltage using Power Factor(STL) Formula Elements

Variables

Functions

Sending End Voltage

Sending End Voltage is the voltage at the sending end of a short transmission line.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Sending End Voltage

Receiving End Voltage

Receiving End Voltage is the voltage developed at the receiving end of a short transmission line.

Symbol: V_r

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Receiving End Voltage

Receiving End Phase Angle

Receiving End Phase Angle is the difference between the phasor of the current and voltage at the receiving end of a short transmission line.

Symbol: Φ_r

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Receiving End Phase Angle

Receiving End Current

Receiving End Current is defined as the magnitude and phase angle of current received at the load end of a short transmission line.

Symbol: I_r

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Receiving End Current

Resistance

Resistance is defined as a measure of the opposition to current flow in a short transmission line.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance

Capacitive Reactance

Capacitive Reactance in a short line is the opposition to current flow due to the line's capacitance, typically negligible compared to inductive reactance and resistance in such lines.

Symbol: X_c

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Capacitive Reactance

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Sending End Voltage

Go Sending End Voltage in Transmission Line

V s = (\frac{%V \cdot V r}{100}) + V r

Go Sending End Voltage using Sending End Power (STL)

V s = \frac{P s}{3 \cdot I s \cdot \cos (Φ s)}

Go Sending End Voltage using Transmission Efficiency (STL)

V s = V r \cdot I r \cdot \frac{\cos (Φ r)}{η \cdot I s \cdot \cos (Φ s)}

Other formulas in Voltage category

Go Receiving End Voltage using Transmission Efficiency (STL)

V r = η \cdot V s \cdot I s \cdot \frac{\cos (Φ s)}{I r \cdot \cos (Φ r)}

Go Receiving End Voltage using Impedance (STL)

V r = V s - (I r \cdot Z)

Go Transmitted Inductance (SC Line)

Z 0 = \frac{V t}{I t}

Go Receiving End Voltage using Receiving End Power (STL)

V r = \frac{P r}{3 \cdot I r \cdot \cos (Φ r)}

How to Evaluate Sending End Voltage using Power Factor(STL)?

Sending End Voltage using Power Factor(STL) evaluator uses 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) to evaluate the Sending End Voltage, The Sending End Voltage using Power Factor(STL) the electrical potential difference at the source end of the line relative to the load voltage. In short lines, this voltage remains relatively constant due to minimal impedance effects, ensuring efficient power transfer with negligible voltage drop from source to load. Sending End Voltage is denoted by V_s symbol.

How to evaluate Sending End Voltage using Power Factor(STL) using this online evaluator? To use this online evaluator for Sending End Voltage using Power Factor(STL), enter Receiving End Voltage (V_r), Receiving End Phase Angle (Φ_r), Receiving End Current (I_r), Resistance (R) & Capacitive Reactance (X_c) and hit the calculate button.

FAQs on Sending End Voltage using Power Factor(STL)

What is the formula to find Sending End Voltage using Power Factor(STL)?

The formula of Sending End Voltage using Power Factor(STL) is expressed as 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). Here is an example- 510.9091 = sqrt(((380*cos(1.3089969389955))+(3.9*65.7))^2+((380*sin(1.3089969389955))+(3.9*0.2))^2).

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

With Receiving End Voltage (V_r), Receiving End Phase Angle (Φ_r), Receiving End Current (I_r), Resistance (R) & Capacitive Reactance (X_c) we can find Sending End Voltage using Power Factor(STL) using the formula - 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). This formula also uses Sine (sin)Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Sending End Voltage?

Here are the different ways to Calculate Sending End Voltage-

Sending End Voltage=((Voltage Regulation*Receiving End Voltage)/100)+Receiving End Voltage
Sending End Voltage=Sending End Power/(3*Sending End Current*cos(Sending End Phase Angle))
Sending End Voltage=Receiving End Voltage*Receiving End Current*(cos(Receiving End Phase Angle))/(Transmission Efficiency*Sending End Current*cos(Sending End Phase Angle))

Can the Sending End Voltage using Power Factor(STL) be negative?

Yes, the Sending End Voltage using Power Factor(STL), measured in Electric Potential can be negative.

Which unit is used to measure Sending End Voltage using Power Factor(STL)?

Sending End Voltage using Power Factor(STL) is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Sending End Voltage using Power Factor(STL) can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Sending End Voltage using Power Factor(STL) Formula

​GoSending End Voltage in Transmission Line Formula

​GoSending End Voltage using Sending End Power (STL) Formula

Sending End Voltage using Power Factor(STL) Example

Sending End Voltage using Power Factor(STL) Solution

Sending End Voltage using Power Factor(STL) Formula Elements

Other Formulas to find Sending End Voltage

Other formulas in Voltage category

How to Evaluate Sending End Voltage using Power Factor(STL)?

FAQs on Sending End Voltage using Power Factor(STL)

Variable Name

GoSending End Voltage in Transmission Line Formula

GoSending End Voltage using Sending End Power (STL) Formula