Angle using Load Current (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%
✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Underground AC [V_m]			+10% -10%
✖Current Underground AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Underground 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.ⓘ Angle using Load Current (3 Phase 4 Wire US) [Φ]

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Angle using Load Current (3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Difference = acos(sqrt(6)*Power Transmitted/(3*Maximum Voltage Underground AC*Current Underground AC))
Φ = acos(sqrt(6)*P/(3*V_m*I))
This formula uses 3 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)
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

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.
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.
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.
Current Underground AC - (Measured in Ampere) - Current Underground AC is defined as the current flowing through the overhead ac supply wire.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
Current Underground AC: 9 Ampere --> 9 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = acos(sqrt(6)*P/(3*V_m*I)) --> acos(sqrt(6)*300/(3*230*9))

Evaluating ... ...

Φ = 1.45218557175591

STEP 3: Convert Result to Output's Unit

1.45218557175591 Radian -->83.2041043314218 Degree (Check conversion here)

FINAL ANSWER

83.2041043314218 ≈ 83.2041 Degree <-- Phase Difference

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground AC Supply » 3 Φ 4 Wire System » Wire Parameters » Angle using Load Current (3 Phase 4 Wire US)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Osmania University (OU), Hyderabad

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< Wire Parameters Calculators

Line Losses using Volume of Conductor Material (3 Phase 4 Wire US)

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

Angle using Load Current (3 Phase 4 Wire US)

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

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

LaTeX Go Constant Underground AC = Volume Of Conductor*(cos(Phase Difference))^2/(1.75)

Area of X-Section using Volume of Conductor Material (3 Phase 4 Wire US)

LaTeX Go Area of Underground AC Wire = Volume Of Conductor/((3.5)*Length of Underground AC Wire)

Angle using Load Current (3 Phase 4 Wire US) Formula

LaTeX Go

Phase Difference = acos(sqrt(6)*Power Transmitted/(3*Maximum Voltage Underground AC*Current Underground AC))
Φ = acos(sqrt(6)*P/(3*V_m*I))

What is the correct power factor?

The ideal power factor is unity, or one. Anything less than one means that extra power is required to achieve the actual task at hand. All current flow causes losses both in the supply and distribution system. A load with a power factor of 1.0 results in the most efficient loading of the supply.

How to Calculate Angle using Load Current (3 Phase 4 Wire US)?

Angle using Load Current (3 Phase 4 Wire US) calculator uses Phase Difference = acos(sqrt(6)*Power Transmitted/(3*Maximum Voltage Underground AC*Current Underground AC)) to calculate the Phase Difference, The Angle using Load Current (3 phase 4 wire US) formula is defined as the phase angle between reactive and active power. Phase Difference is denoted by Φ symbol.

How to calculate Angle using Load Current (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Angle using Load Current (3 Phase 4 Wire US), enter Power Transmitted (P), Maximum Voltage Underground AC (V_m) & Current Underground AC (I) and hit the calculate button. Here is how the Angle using Load Current (3 Phase 4 Wire US) calculation can be explained with given input values -> 4767.244 = acos(sqrt(6)*300/(3*230*9)).

FAQ

What is Angle using Load Current (3 Phase 4 Wire US)?

The Angle using Load Current (3 phase 4 wire US) formula is defined as the phase angle between reactive and active power and is represented as Φ = acos(sqrt(6)*P/(3*V_m*I)) or Phase Difference = acos(sqrt(6)*Power Transmitted/(3*Maximum Voltage Underground AC*Current Underground AC)). 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, Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire & Current Underground AC is defined as the current flowing through the overhead ac supply wire.

How to calculate Angle using Load Current (3 Phase 4 Wire US)?

The Angle using Load Current (3 phase 4 wire US) formula is defined as the phase angle between reactive and active power is calculated using Phase Difference = acos(sqrt(6)*Power Transmitted/(3*Maximum Voltage Underground AC*Current Underground AC)). To calculate Angle using Load Current (3 Phase 4 Wire US), you need Power Transmitted (P), Maximum Voltage Underground AC (V_m) & Current Underground AC (I). With our tool, you need to enter the respective value for Power Transmitted, Maximum Voltage Underground AC & Current Underground AC 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 Phase Difference?

In this formula, Phase Difference uses Power Transmitted, Maximum Voltage Underground AC & Current Underground AC. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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