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Power in Three Phase AC Supply Calculator

Three Phase Power Formula:

\[ P = 3 \times V_{ph} \times I_{ph} \times \cos(\theta) \]

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1. What is Three Phase Power Calculation?

Three-phase power calculation is essential in electrical engineering for determining the power in three-phase AC systems. It accounts for both the magnitude and phase relationship between voltage and current to calculate real power consumption.

2. How Does the Calculator Work?

The calculator uses the three-phase power formula:

\[ P = 3 \times V_{ph} \times I_{ph} \times \cos(\theta) \]

Where:

Explanation: The formula calculates the real power in a balanced three-phase system by multiplying the product of phase voltage, phase current, and power factor by 3.

3. Importance of Power Calculation

Details: Accurate power calculation is crucial for system design, load balancing, energy efficiency analysis, and proper sizing of electrical components in three-phase systems.

4. Using the Calculator

Tips: Enter phase voltage in volts, phase current in amperes, and phase angle in degrees. All values must be positive numbers with voltage and current greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between line and phase quantities?
A: In three-phase systems, phase quantities refer to measurements across a single phase, while line quantities refer to measurements between lines. The relationship depends on whether the system is star or delta connected.

Q2: Why is power factor important?
A: Power factor represents the ratio of real power to apparent power. A lower power factor indicates more reactive power and less efficient energy usage.

Q3: When is this formula applicable?
A: This formula is valid for balanced three-phase systems with sinusoidal waveforms. For unbalanced systems, more complex calculations are required.

Q4: How does phase angle affect power calculation?
A: The phase angle determines the power factor. When voltage and current are in phase (θ=0), power factor is 1 and maximum power is delivered. As the phase difference increases, power factor decreases.

Q5: Can this calculator be used for single-phase systems?
A: For single-phase systems, use the formula P = V × I × cos(θ) without the factor of 3.

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