Active Power in Three Phase (L-L) AC Circuits Calculator

✖Line Voltage refers to the potential difference between two conductors in a polyphase system, most commonly a three-phase system.ⓘ Line Voltage [V_line]			+10% -10%
✖Line Current, similar to line voltage, refers to the current flowing in each individual conductor of a polyphase system, typically a three-phase system.ⓘ Line Current [I_line]			+10% -10%
✖Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.ⓘ Phase Angle [θ_ph]			+10% -10%

✖Active Power in DC Circuit is defined as the actual work done or energy transferred by the circuit.ⓘ Active Power in Three Phase (L-L) AC Circuits [P_dc]

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Formula

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Active Power in Three Phase (L-L) AC Circuits

Formula

`"P"_{"dc"} = sqrt(3)*"V"_{"line"}*"I"_{"line"}*cos("θ"_{"ph"})`

Example

`"168W"=sqrt(3)*"56V"*"2A"*cos("30°")`

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Active Power in Three Phase (L-L) AC Circuits Solution

STEP 0: Pre-Calculation Summary

Formula Used

Active Power in DC Circuit = sqrt(3)*Line Voltage*Line Current*cos(Phase Angle)
P_dc = sqrt(3)*V_line*I_line*cos(θ_ph)
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

Active Power in DC Circuit - (Measured in Watt) - Active Power in DC Circuit is defined as the actual work done or energy transferred by the circuit.
Line Voltage - (Measured in Volt) - Line Voltage refers to the potential difference between two conductors in a polyphase system, most commonly a three-phase system.
Line Current - (Measured in Ampere) - Line Current, similar to line voltage, refers to the current flowing in each individual conductor of a polyphase system, typically a three-phase system.
Phase Angle - (Measured in Radian) - Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.

STEP 1: Convert Input(s) to Base Unit

Line Voltage: 56 Volt --> 56 Volt No Conversion Required
Line Current: 2 Ampere --> 2 Ampere No Conversion Required
Phase Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_dc = sqrt(3)*V_line*I_line*cos(θ_ph) --> sqrt(3)*56*2*cos(0.5235987755982)

Evaluating ... ...

P_dc = 168

STEP 3: Convert Result to Output's Unit

168 Watt --> No Conversion Required

FINAL ANSWER

168 Watt <-- Active Power in DC Circuit

(Calculation completed in 00.004 seconds)

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Created by Mohamed Fazil V

Acharya institute of technology (AIT), Bengaluru

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Active Power in Three Phase (L-L) AC Circuits Formula

Active Power in DC Circuit = sqrt(3)*Line Voltage*Line Current*cos(Phase Angle)
P_dc = sqrt(3)*V_line*I_line*cos(θ_ph)

What is Active Power in Three Phase (L-L) AC Circuits ?

Active power, also known as real power, in three-phase (line-to-line) AC circuits refers to the actual power consumed by the load in performing useful work, such as producing mechanical motion, generating heat, or providing light. In electrical engineering, active power is typically denoted by the symbol P and is measured in watts (W). Active power is essential for determining the actual energy consumed by loads and is a crucial parameter in designing and operating three-phase electrical systems efficiently.

How to Calculate Active Power in Three Phase (L-L) AC Circuits?

Active Power in Three Phase (L-L) AC Circuits calculator uses Active Power in DC Circuit = sqrt(3)*Line Voltage*Line Current*cos(Phase Angle) to calculate the Active Power in DC Circuit, Active Power in Three Phase (L-L) AC Circuits, naturally known as line to line real power generally refers to the actual rate of electrical work being done by the source on the load. This is the usable power that delivers a practical effect like generating heat, light, or mechanical work. The formula above applies to balanced three-phase systems where the voltages and currents on each phase are equal and have the same phase angle. In unbalanced systems, the calculation becomes more complex and requires individual phase voltage and current measurements. Active Power in DC Circuit is denoted by P_dc symbol.

How to calculate Active Power in Three Phase (L-L) AC Circuits using this online calculator? To use this online calculator for Active Power in Three Phase (L-L) AC Circuits, enter Line Voltage (V_line), Line Current (I_line) & Phase Angle (θ_ph) and hit the calculate button. Here is how the Active Power in Three Phase (L-L) AC Circuits calculation can be explained with given input values -> 45.69 = sqrt(3)*56*2*cos(0.5235987755982).

FAQ

What is Active Power in Three Phase (L-L) AC Circuits?

Active Power in Three Phase (L-L) AC Circuits, naturally known as line to line real power generally refers to the actual rate of electrical work being done by the source on the load. This is the usable power that delivers a practical effect like generating heat, light, or mechanical work. The formula above applies to balanced three-phase systems where the voltages and currents on each phase are equal and have the same phase angle. In unbalanced systems, the calculation becomes more complex and requires individual phase voltage and current measurements and is represented as P_dc = sqrt(3)*V_line*I_line*cos(θ_ph) or Active Power in DC Circuit = sqrt(3)*Line Voltage*Line Current*cos(Phase Angle). Line Voltage refers to the potential difference between two conductors in a polyphase system, most commonly a three-phase system, Line Current, similar to line voltage, refers to the current flowing in each individual conductor of a polyphase system, typically a three-phase system & Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.

How to calculate Active Power in Three Phase (L-L) AC Circuits?

Active Power in Three Phase (L-L) AC Circuits, naturally known as line to line real power generally refers to the actual rate of electrical work being done by the source on the load. This is the usable power that delivers a practical effect like generating heat, light, or mechanical work. The formula above applies to balanced three-phase systems where the voltages and currents on each phase are equal and have the same phase angle. In unbalanced systems, the calculation becomes more complex and requires individual phase voltage and current measurements is calculated using Active Power in DC Circuit = sqrt(3)*Line Voltage*Line Current*cos(Phase Angle). To calculate Active Power in Three Phase (L-L) AC Circuits, you need Line Voltage (V_line), Line Current (I_line) & Phase Angle (θ_ph). With our tool, you need to enter the respective value for Line Voltage, Line Current & Phase Angle 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 Active Power in DC Circuit?

In this formula, Active Power in DC Circuit uses Line Voltage, Line Current & Phase Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Active Power in DC Circuit = Voltage*Corrected Current in AC Circuit*cos(Phase Angle)

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