Maximum Voltage using Line Losses (3 Phase 4 Wire US) Calculator

✖Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.ⓘ Power Transmitted [P]			+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%
✖Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.ⓘ Resistance Underground AC [R]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%

✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage using Line Losses (3 Phase 4 Wire US) [V_m]

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Maximum Voltage using Line Losses (3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage Underground AC = ((2*Power Transmitted)/cos(Phase Difference))*sqrt(Resistance Underground AC/(Line Losses))
V_m = ((2*P)/cos(Φ))*sqrt(R/(P_loss))
This formula uses 2 Functions, 5 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 Underground AC - (Measured in Volt) - Maximum Voltage Underground 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 the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
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.
Resistance Underground AC - (Measured in Ohm) - Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Resistance Underground AC: 5 Ohm --> 5 Ohm No Conversion Required
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = ((2*P)/cos(Φ))*sqrt(R/(P_loss)) --> ((2*300)/cos(0.5235987755982))*sqrt(5/(2.67))

Evaluating ... ...

V_m = 948.090926279955

STEP 3: Convert Result to Output's Unit

948.090926279955 Volt --> No Conversion Required

FINAL ANSWER

948.090926279955 ≈ 948.0909 Volt <-- Maximum Voltage Underground AC

(Calculation completed in 00.004 seconds)

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< Current and Voltage Calculators

Maximum Voltage using Area of X-Section (3 Phase 4 Wire US)

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

Maximum Voltage using Volume of Conductor Material (3 Phase 4 Wire US)

LaTeX Go Maximum Voltage Underground AC = sqrt(7*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2))

Maximum Voltage using Line Losses (3 Phase 4 Wire US)

LaTeX Go Maximum Voltage Underground AC = ((2*Power Transmitted)/cos(Phase Difference))*sqrt(Resistance Underground AC/(Line Losses))

Maximum Voltage using Load Current (3 Phase 4 Wire US)

LaTeX Go Maximum Voltage Underground AC = (sqrt(6)*Power Transmitted)/(3*cos(Phase Difference)*Current Underground AC)

Maximum Voltage using Line Losses (3 Phase 4 Wire US) Formula

LaTeX Go

Maximum Voltage Underground AC = ((2*Power Transmitted)/cos(Phase Difference))*sqrt(Resistance Underground AC/(Line Losses))
V_m = ((2*P)/cos(Φ))*sqrt(R/(P_loss))

What is the value of maximum voltage in 3-phase 4-wire Underground system?

The maximum voltage between conductors is v_m/√3 so that r.m.s. value of voltage between them is v_m/√6.

How to Calculate Maximum Voltage using Line Losses (3 Phase 4 Wire US)?

Maximum Voltage using Line Losses (3 Phase 4 Wire US) calculator uses Maximum Voltage Underground AC = ((2*Power Transmitted)/cos(Phase Difference))*sqrt(Resistance Underground AC/(Line Losses)) to calculate the Maximum Voltage Underground AC, The Maximum Voltage using Line Losses (3 phase 4 wire US) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage Underground AC is denoted by V_m symbol.

How to calculate Maximum Voltage using Line Losses (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Maximum Voltage using Line Losses (3 Phase 4 Wire US), enter Power Transmitted (P), Phase Difference (Φ), Resistance Underground AC (R) & Line Losses (P_loss) and hit the calculate button. Here is how the Maximum Voltage using Line Losses (3 Phase 4 Wire US) calculation can be explained with given input values -> 948.0909 = ((2*300)/cos(0.5235987755982))*sqrt(5/(2.67)).

FAQ

What is Maximum Voltage using Line Losses (3 Phase 4 Wire US)?

The Maximum Voltage using Line Losses (3 phase 4 wire US) 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 = ((2*P)/cos(Φ))*sqrt(R/(P_loss)) or Maximum Voltage Underground AC = ((2*Power Transmitted)/cos(Phase Difference))*sqrt(Resistance Underground AC/(Line Losses)). Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work, 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, Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it & Line Losses is defined as the total losses occurring in an Underground AC line when in use.

How to calculate Maximum Voltage using Line Losses (3 Phase 4 Wire US)?

The Maximum Voltage using Line Losses (3 phase 4 wire US) 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 Underground AC = ((2*Power Transmitted)/cos(Phase Difference))*sqrt(Resistance Underground AC/(Line Losses)). To calculate Maximum Voltage using Line Losses (3 Phase 4 Wire US), you need Power Transmitted (P), Phase Difference (Φ), Resistance Underground AC (R) & Line Losses (P_loss). With our tool, you need to enter the respective value for Power Transmitted, Phase Difference, Resistance Underground AC & Line Losses 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 Underground AC?

In this formula, Maximum Voltage Underground AC uses Power Transmitted, Phase Difference, Resistance Underground AC & Line Losses. We can use 3 other way(s) to calculate the same, which is/are as follows -

Maximum Voltage Underground AC = sqrt(7*Resistivity*(Power Transmitted*Length of Underground AC Wire)^2/(Line Losses*Volume Of Conductor*(cos(Phase Difference))^2))
Maximum Voltage Underground AC = (sqrt(6)*Power Transmitted)/(3*cos(Phase Difference)*Current Underground AC)
Maximum Voltage Underground AC = (Power Transmitted/cos(Phase Difference))*sqrt(2*Resistivity*Length of Underground AC Wire/(Line Losses*Area of Underground AC Wire))

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