Maximum Voltage using Load Current(3-Phase 3-Wire OS) Calculator

✖Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.ⓘ Power Transmitted [P]			+10% -10%
✖Current Overhead AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Overhead AC [I]			+10% -10%
✖Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.ⓘ Phase Difference [Φ]			+10% -10%

✖Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage using Load Current(3-Phase 3-Wire OS) [V_m]

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Maximum Voltage using Load Current(3-Phase 3-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*Current Overhead AC*cos(Phase Difference))
V_m = (sqrt(2)*P)/(3*I*cos(Φ))
This formula uses 2 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)
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., sqrt(Number)

Variables Used

Maximum Voltage Overhead AC - (Measured in Volt) - Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.
Current Overhead AC - (Measured in Ampere) - Current Overhead AC is defined as the current flowing through the overhead ac supply wire.
Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 890 Watt --> 890 Watt No Conversion Required
Current Overhead AC: 6.9 Ampere --> 6.9 Ampere No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = (sqrt(2)*P)/(3*I*cos(Φ)) --> (sqrt(2)*890)/(3*6.9*cos(0.5235987755982))

Evaluating ... ...

V_m = 70.2108171039301

STEP 3: Convert Result to Output's Unit

70.2108171039301 Volt --> No Conversion Required

FINAL ANSWER

70.2108171039301 ≈ 70.21082 Volt <-- Maximum Voltage Overhead AC

(Calculation completed in 00.009 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Current and Voltage Calculators

Resistivity using Area of X-Section(3-Phase 3-Wire OS)

LaTeX Go Resistivity = 3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2)/(2*Length of Overhead AC Wire*(Power Transmitted^2))

Load Current(3-Phase 3-Wire OS)

LaTeX Go Current Overhead AC = (sqrt(2)*Power Transmitted)/((3)*Maximum Voltage Overhead AC*cos(Phase Difference))

Resistance(3-Phase 3-Wire OS)

LaTeX Go Resistance Overhead AC = Resistivity*Length of Overhead AC Wire/Area of Overhead AC Wire

Maximum Voltage(3-Phase 3-Wire OS)

LaTeX Go Voltage Overhead AC = (1)*Maximum Voltage Overhead AC

Maximum Voltage using Load Current(3-Phase 3-Wire OS) Formula

LaTeX Go

Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*Current Overhead AC*cos(Phase Difference))
V_m = (sqrt(2)*P)/(3*I*cos(Φ))

How is a three-wire three-phase system is better than a two-wire single-phase system?

A three-wire, three-phase system can then transmit 73% more power than a two-wire, single-phase system by just the addition of one wire. A three-phase system also has some major advantages in the generation and use of electricity by rotating machines as will be explained later.

How to Calculate Maximum Voltage using Load Current(3-Phase 3-Wire OS)?

Maximum Voltage using Load Current(3-Phase 3-Wire OS) calculator uses Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*Current Overhead AC*cos(Phase Difference)) to calculate the Maximum Voltage Overhead AC, The Maximum Voltage using Load Current(3-phase 3-wire OS) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage Overhead AC is denoted by V_m symbol.

How to calculate Maximum Voltage using Load Current(3-Phase 3-Wire OS) using this online calculator? To use this online calculator for Maximum Voltage using Load Current(3-Phase 3-Wire OS), enter Power Transmitted (P), Current Overhead AC (I) & Phase Difference (Φ) and hit the calculate button. Here is how the Maximum Voltage using Load Current(3-Phase 3-Wire OS) calculation can be explained with given input values -> 70.21082 = (sqrt(2)*890)/(3*6.9*cos(0.5235987755982)).

FAQ

What is Maximum Voltage using Load Current(3-Phase 3-Wire OS)?

The Maximum Voltage using Load Current(3-phase 3-wire OS) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition and is represented as V_m = (sqrt(2)*P)/(3*I*cos(Φ)) or Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*Current Overhead AC*cos(Phase Difference)). Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end, Current Overhead AC is defined as the current flowing through the overhead ac supply wire & Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

How to calculate Maximum Voltage using Load Current(3-Phase 3-Wire OS)?

The Maximum Voltage using Load Current(3-phase 3-wire OS) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition is calculated using Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*Current Overhead AC*cos(Phase Difference)). To calculate Maximum Voltage using Load Current(3-Phase 3-Wire OS), you need Power Transmitted (P), Current Overhead AC (I) & Phase Difference (Φ). With our tool, you need to enter the respective value for Power Transmitted, Current Overhead AC & Phase Difference 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 Maximum Voltage Overhead AC?

In this formula, Maximum Voltage Overhead AC uses Power Transmitted, Current Overhead AC & Phase Difference. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Voltage Overhead AC = sqrt((2*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(3*Area of Overhead AC Wire*Line Losses*((cos(Phase Difference))^2)))

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