3 Phase Power Formula, P =√3* V * I * pf, While 1 Phase Power Formula, P = V * I * pf, Every day, the power formula is being used to calculate the power of various load types like motors, lighting, and much more.
This formula takes into account the fact that in a three-phase system, the power is not simply the product of the line-to-line voltage (VL) and line current (IL), as it would be in a single-phase system.
Instead, you need to multiply by the square root of 3 and the power factor (cos(θ)) to get the true power in the circuit.
The power factor (cos(θ)) represents the phase angle difference between the voltage and current waveforms and can vary depending on the type of load connected to the three-phase circuit. It indicates how effectively electrical power is being converted into useful work.
A power factor of 1 (cosine of 0 degrees) represents a purely resistive load, while a power factor less than 1 indicates a combination of resistive and reactive components in the load.
Let''s go through an example of 3-phase load calculation step by step.
Example: Suppose you have a three-phase electrical system with the following parameters:Line-to-line voltage (VL): 400 volts.Line current (IL): 50 amperes.Power factor (cos(θ)): 0.9 (lagging power factor, which means the current lags behind the voltage).
We want to calculate the power (P) in watts (W).
Step 2: Calculate the power (P) using the formula with 1.73
Now, you can use the three-phase power formula with 1.73 instead of √3:
P=1.73×VL×IL×cos(θ)P=1.73×VL×IL×cos(θ)
P=1.73×400 V×50 A×0.9
P≈69,570W
So, the power in the three-phase electrical system is approximately 69,570 watts.Single phase power formula
The formula for calculating single-phase power in an electrical circuit is:
P=V×I×cos(θ)
Where:P is the power in watts (W).V is the voltage in volts (V).I is the current in amperes (A) s(θ) is the power factor, which is the cosine of the phase angle difference between voltage and current.
This formula calculates the real power (in watts) in a single-phase circuit. The power factor (cos(θ)) represents the phase angle difference between voltage and current and indicates how effectively electrical power is being converted into useful work.
A power factor of 1 (cosine of 0 degrees) represents a purely resistive load, while a power factor less than 1 indicates a combination of resistive and reactive components in the load.
To calculate the power in a single-phase system, you need to know the voltage, current, and power factor of the circuit.single phase power calculation example
Let''s walk through an example of calculating single-phase power step by step.
Example: Suppose you have a single-phase electrical circuit with the following parameters:Voltage (V): 120 volts.Current (I): 5 amperes.Power factor (cos(θ)): 0.9 (lagging power factor, which means the current lags behind the voltage).
We want to calculate the power (P) in watts (W).
P=120 V×5 A×0.9
Step 3: Calculate the power (P).
Now, calculate the power:
P=120 V×5 A×0.9=540 W
So, the power in the single-phase electrical circuit is 540 watts.
In this example, we used the given voltage, current, and power factor to calculate the real power (in watts) in the single-phase circuit.dC power formula
The formula for calculating DC (direct current) electrical power is straightforward:
P=V×IP
Where:P represents power in watts (W).V is the voltage in volts (V).I is the current in amperes (A).
In DC circuits, power is simply the product of voltage and current. This formula holds true for any DC electrical system, whether it''s a battery-powered device, a DC power supply, or any other DC circuit.
To calculate the DC power, you need to know both the voltage and current values. Once you have these values, you can use the formula to determine the power consumption or power delivery in the DC circuit.dC power formula example
Let''s walk through an example of calculating DC (direct current) power using the formula:
Example: Suppose you have a simple DC circuit with the following parameters:Voltage (V): 12 volts.Current (I): 5 amperes.
You want to calculate the power (P) consumed by this DC circuit.
Step 1: Write down the given values.
In this example, we used the given voltage and current values to calculate the power in the DC circuit.
The formula P=V×IP is simple and effective for determining DC power consumption or power delivery in various electrical devices and circuits.
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The Power Factor Calculator is a tool to calculate the Power Factor (PF) of a three phase system. In a three-phase system, the power factor (PF) is calculated using the input parameters like line voltage (V), line current (I), and power in kilowatts (KW).
This formula calculates the power factor as the ratio of the real power (KW) to the product of the line voltage (V), line current (I), and the square root of 3 (√3) to account for the three-phase system’s inherent phase relationships. The power factor indicates how effectively electrical power is being converted into useful work in the three-phase system.
About Three phase power factor formula
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