Angle using Load Current (2 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 (2 Phase 4 Wire US) [Φ]

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Formula

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Angle using Load Current (2 Phase 4 Wire US)

Formula

`"Φ" = acos(sqrt(2)*"P"/("V"_{"m"}*"I"))`

Example

`"78.17293°"=acos(sqrt(2)*"300W"/("230V"*"9A"))`

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Angle using Load Current (2 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Difference = acos(sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC))
Φ = acos(sqrt(2)*P/(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(2)*P/(V_m*I)) --> acos(sqrt(2)*300/(230*9))

Evaluating ... ...

Φ = 1.36437503282367

STEP 3: Convert Result to Output's Unit

1.36437503282367 Radian -->78.1729310538342 Degree (Check conversion here)

FINAL ANSWER

78.1729310538342 ≈ 78.17293 Degree <-- Phase Difference

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground AC Supply » 2-Φ 4-Wire System » Power & Power Factor » Angle using Load Current (2 Phase 4 Wire US)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Power & Power Factor Calculators

Power Transmitted using Area of X-Section (2 Phase 4 Wire US)

Go Power Transmitted = Maximum Voltage Underground AC*cos(Phase Difference)*sqrt(Area of Underground AC Wire*Line Losses/(4*Resistivity*Length of Underground AC Wire))

Power Factor using Area of X-Section (2 Phase 4 Wire US)

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

Power Transmitted using Line Losses (2 Phase 4 Wire US)

Go Power Transmitted = Maximum Voltage Underground AC*cos(Phase Difference)*sqrt(Line Losses/(4*Resistance Underground AC))

Power Factor using Line Losses (2 Phase 4 Wire US)

Go Power Factor = sqrt(4*(Power Transmitted^2)*Resistance Underground AC/(Line Losses*(Maximum Voltage Underground AC^2)))

Angle using Load Current (2 Phase 4 Wire US)

Go Phase Difference = acos(sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC))

Power Transmitted using Load Current (2 Phase 4 Wire US)

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

Power Factor using Load Current (2 Phase 4 Wire US)

Go Power Factor = sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC)

Angle using Load Current (2 Phase 4 Wire US) Formula

Phase Difference = acos(sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC))
Φ = acos(sqrt(2)*P/(V_m*I))

What is the value of maximum voltage in 2-phase 4-wire underground system?

The maximum voltage between conductors is v_m so that r.m.s. value of voltage between them is v_m/√2.

How to Calculate Angle using Load Current (2 Phase 4 Wire US)?

Angle using Load Current (2 Phase 4 Wire US) calculator uses Phase Difference = acos(sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC)) to calculate the Phase Difference, The Angle using Load Current (2 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 (2 Phase 4 Wire US) using this online calculator? To use this online calculator for Angle using Load Current (2 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 (2 Phase 4 Wire US) calculation can be explained with given input values -> 4478.979 = acos(sqrt(2)*300/(230*9)).

FAQ

What is Angle using Load Current (2 Phase 4 Wire US)?

The Angle using Load Current (2 phase 4 wire US) formula is defined as the phase angle between reactive and active power and is represented as Φ = acos(sqrt(2)*P/(V_m*I)) or Phase Difference = acos(sqrt(2)*Power Transmitted/(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 (2 Phase 4 Wire US)?

The Angle using Load Current (2 phase 4 wire US) formula is defined as the phase angle between reactive and active power is calculated using Phase Difference = acos(sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC)). To calculate Angle using Load Current (2 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.

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