Power Transmitted Using Load Current Per Phase (3 Phase 3 Wire US) Calculator

Formula Used:

\[ P = I \times 3 \times V_m \times \cos(\Phi) / \sqrt{6} \]

Power Transmitted:

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1. What is Power Transmitted Using Load Current Per Phase?

Power Transmitted Using Load Current Per Phase refers to the amount of power that is transferred through a three-phase three-wire underground AC system, calculated based on the current per phase, maximum voltage, and phase difference.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = I \times 3 \times V_m \times \cos(\Phi) / \sqrt{6} \]

Where:

\( P \) — Power Transmitted (Watt)
\( I \) — Current Underground AC (Ampere)
\( V_m \) — Maximum Voltage Underground AC (Volt)
\( \Phi \) — Phase Difference (Radian)

Explanation: This formula calculates the power transmitted in a three-phase three-wire system by considering the current per phase, maximum voltage, and the cosine of the phase difference, divided by the square root of 6.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for designing and operating electrical systems efficiently, ensuring proper load management, and preventing system overloads.

4. Using the Calculator

Tips: Enter the current in amperes, maximum voltage in volts, and phase difference in radians. All values must be valid (current > 0, voltage > 0).

5. Frequently Asked Questions (FAQ)

Q1: Why is the square root of 6 used in the formula?
A: The square root of 6 is used to convert the maximum voltage to the RMS voltage in the context of three-phase power calculations.

Q2: What is the significance of phase difference in power calculation?
A: Phase difference affects the power factor, which determines the real power transmitted in the system. A higher power factor means more efficient power transmission.

Q3: Can this calculator be used for overhead systems?
A: While the formula is derived for underground systems, it can be applied to overhead systems with similar configurations, but specific parameters might differ.

Q4: What are typical values for phase difference?
A: Phase difference typically ranges from 0 to π/2 radians, with 0 indicating purely resistive load and π/2 indicating purely reactive load.

Q5: How does current per phase affect power transmission?
A: Higher current per phase increases the power transmitted, but also increases losses and heating in the conductors, requiring careful system design.