Power Transmitted Using Load Current (3 Phase 4 Wire US) Calculator

Formula Used:

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

Maximum Voltage Underground AC (Vm):

Volt

Phase Difference (Φ):

Radian

Current Underground AC (I):

Ampere

Power Transmitted (P):

Unit Converter ▲

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1. What is Power Transmitted Using Load Current (3 Phase 4 Wire US)?

Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work in a 3-phase 4-wire underground AC system.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the power transmitted in a 3-phase 4-wire underground AC system, accounting for the maximum voltage, phase difference, and current.

3. Importance of Power Transmitted Calculation

Details: Accurate power transmitted calculation is crucial for designing efficient power transmission systems, ensuring proper load management, and optimizing energy distribution in underground AC networks.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is the square root of 6 used in the denominator?
A: The factor \(\sqrt{6}\) accounts for the specific configuration and phase relationships in a 3-phase 4-wire underground AC system.

Q2: What is the significance of phase difference in power calculation?
A: Phase difference between voltage and current affects the real power component. A higher phase difference (power factor closer to 0) results in lower useful power transmission.

Q3: How does this differ from overhead transmission calculations?
A: Underground systems have different characteristics including capacitance, inductance, and thermal properties that may require specific calculation approaches.

Q4: What are typical values for maximum voltage in underground systems?
A: Maximum voltage values vary by system design but typically range from a few hundred volts to several kilovolts depending on the application and regulations.

Q5: Can this calculator be used for DC systems?
A: No, this formula is specifically designed for 3-phase 4-wire AC systems. DC systems use different calculation methods.