Power in Three-Phase AC Circuits using Phase Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference)
P = 3*Vph*Iph*cos(Φ)
This formula uses 1 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)
Variables Used
Real Power - (Measured in Watt) - The real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.
Phase Voltage - (Measured in Volt) - Phase Voltage is the potential difference between a line and a neutral in a three phase circuit.
Phase Current - (Measured in Ampere) - The Phase Current is a current flow between phase to neutral in a three phase circuit.
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
Phase Voltage: 240 Volt --> 240 Volt No Conversion Required
Phase Current: 0.4 Ampere --> 0.4 Ampere No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 3*Vph*Iph*cos(Φ) --> 3*240*0.4*cos(0.5235987755982)
Evaluating ... ...
P = 249.415316289918
STEP 3: Convert Result to Output's Unit
249.415316289918 Watt --> No Conversion Required
FINAL ANSWER
249.415316289918 249.4153 Watt <-- Real Power
(Calculation completed in 00.020 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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12 Power Calculators

Reactive Power using Line-to-Neutral Current
Go Reactive Power = 3*Line to Neutral Current*Line to Neutral Voltage*sin(Phase Difference)
Reactive Power using RMS Voltage and Current
Go Reactive Power = Root Mean Square Voltage*Root Mean Square Current*sin(Phase Difference)
Real Power using Line-to-Neutral Voltage
Go Real Power = 3*Line to Neutral Current*Line to Neutral Voltage*cos(Phase Difference)
Real Power using RMS Voltage and Current
Go Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference)
Power in Three-Phase AC Circuits using Phase Current
Go Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference)
Power in Single-Phase AC Circuits using Voltage
Go Real Power = (Voltage^2*cos(Phase Difference))/Resistance
Power in Single-Phase AC Circuits using Current
Go Real Power = Current^2*Resistance*cos(Phase Difference)
Reactive Power
Go Reactive Power = Current*Voltage*sin(Phase Difference)
Power in Single-Phase AC Circuits
Go Real Power = Voltage*Current*cos(Phase Difference)
Real Power in AC Circuit
Go Real Power = Voltage*Current*cos(Phase Difference)
Complex Power
Go Complex Power = sqrt(Real Power^2+Reactive Power^2)
Complex Power given Power Factor
Go Complex Power = Real Power/cos(Phase Difference)

Power in Three-Phase AC Circuits using Phase Current Formula

Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference)
P = 3*Vph*Iph*cos(Φ)

What is the difference between single phase and three phase power supply?

In a single-phase supply, the power flows through one conductor whereas the three-phase supply consists of three conductors for power supply. The single-phase supply requires two wires (one phase and one neutral) for completing the circuit. The three phase requires three-phase wires and one neutral wire for completing the circuit.

How to Calculate Power in Three-Phase AC Circuits using Phase Current?

Power in Three-Phase AC Circuits using Phase Current calculator uses Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference) to calculate the Real Power, Power in Three-Phase AC Circuits using Phase Current is a common method of alternating current electric power generation, transmission, and distribution. It is a type of polyphase system and is the most common method used by electrical grids worldwide to transfer power. Real Power is denoted by P symbol.

How to calculate Power in Three-Phase AC Circuits using Phase Current using this online calculator? To use this online calculator for Power in Three-Phase AC Circuits using Phase Current, enter Phase Voltage (Vph), Phase Current (Iph) & Phase Difference (Φ) and hit the calculate button. Here is how the Power in Three-Phase AC Circuits using Phase Current calculation can be explained with given input values -> 249.4153 = 3*240*0.4*cos(0.5235987755982).

FAQ

What is Power in Three-Phase AC Circuits using Phase Current?
Power in Three-Phase AC Circuits using Phase Current is a common method of alternating current electric power generation, transmission, and distribution. It is a type of polyphase system and is the most common method used by electrical grids worldwide to transfer power and is represented as P = 3*Vph*Iph*cos(Φ) or Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference). Phase Voltage is the potential difference between a line and a neutral in a three phase circuit, The Phase Current is a current flow between phase to neutral in a three phase circuit & 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 Power in Three-Phase AC Circuits using Phase Current?
Power in Three-Phase AC Circuits using Phase Current is a common method of alternating current electric power generation, transmission, and distribution. It is a type of polyphase system and is the most common method used by electrical grids worldwide to transfer power is calculated using Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference). To calculate Power in Three-Phase AC Circuits using Phase Current, you need Phase Voltage (Vph), Phase Current (Iph) & Phase Difference (Φ). With our tool, you need to enter the respective value for Phase Voltage, Phase Current & Phase Difference 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 Real Power?
In this formula, Real Power uses Phase Voltage, Phase Current & Phase Difference. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Real Power = Voltage*Current*cos(Phase Difference)
  • Real Power = Current^2*Resistance*cos(Phase Difference)
  • Real Power = (Voltage^2*cos(Phase Difference))/Resistance
  • Real Power = Voltage*Current*cos(Phase Difference)
  • Real Power = 3*Line to Neutral Current*Line to Neutral Voltage*cos(Phase Difference)
  • Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference)
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