Load Current(3-Phase 4-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%
✖Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Overhead AC [V_m]			+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%

✖Current Overhead AC is defined as the current flowing through the overhead ac supply wire.ⓘ Load Current(3-Phase 4-Wire OS) [I]

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Load Current(3-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Current Overhead AC - (Measured in Ampere) - Current Overhead AC is defined as the current flowing through the overhead ac supply 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.
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.
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
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (sqrt(2)*P)/(3*V_m*cos(Φ)) --> (sqrt(2)*890)/(3*62*cos(0.5235987755982))

Evaluating ... ...

I = 7.81378448414706

STEP 3: Convert Result to Output's Unit

7.81378448414706 Ampere --> No Conversion Required

FINAL ANSWER

7.81378448414706 ≈ 7.813784 Ampere <-- Current Overhead AC

(Calculation completed in 00.004 seconds)

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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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< Current and Voltage Calculators

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

LaTeX Go 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)))

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

LaTeX Go Maximum Voltage Overhead AC = sqrt(7*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2/(3*Line Losses*Volume of Conductor*(cos(Phase Difference))^2))

Load Current(3-Phase 4-Wire OS)

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

Maximum Voltage(3-Phase 4-Wire OS)

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

Load Current(3-Phase 4-Wire OS) Formula

LaTeX Go

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

What is the value of maximum voltage and volume of conductor material in 3-phase 4-wire system?

The volume of conductor material required in this system is 1/2cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2v_m so that r.m.s. value of voltage between them is √2v_m.

How to Calculate Load Current(3-Phase 4-Wire OS)?

Load Current(3-Phase 4-Wire OS) calculator uses Current Overhead AC = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC*cos(Phase Difference)) to calculate the Current Overhead AC, The Load Current(3-Phase 4-Wire OS) formula is defined as the current that flows into the load of the three-phase four-wire overhead system. Current Overhead AC is denoted by I symbol.

How to calculate Load Current(3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Load Current(3-Phase 4-Wire OS), enter Power Transmitted (P), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ) and hit the calculate button. Here is how the Load Current(3-Phase 4-Wire OS) calculation can be explained with given input values -> 7.813784 = (sqrt(2)*890)/(3*62*cos(0.5235987755982)).

FAQ

What is Load Current(3-Phase 4-Wire OS)?

The Load Current(3-Phase 4-Wire OS) formula is defined as the current that flows into the load of the three-phase four-wire overhead system and is represented as I = (sqrt(2)*P)/(3*V_m*cos(Φ)) or Current Overhead AC = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage 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, Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or 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 Load Current(3-Phase 4-Wire OS)?

The Load Current(3-Phase 4-Wire OS) formula is defined as the current that flows into the load of the three-phase four-wire overhead system is calculated using Current Overhead AC = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC*cos(Phase Difference)). To calculate Load Current(3-Phase 4-Wire OS), you need Power Transmitted (P), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ). With our tool, you need to enter the respective value for Power Transmitted, Maximum Voltage 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.

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