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

Power Transmitted Formula:

\[ P = I \times V_m \times \cos(\Phi) \times \left(\frac{3}{\sqrt{2}}\right) \]

Power Transmitted (P):

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1. What is Power Transmitted Using Load Current?

Power Transmitted Using Load Current in a 3-Phase 4-Wire Overhead System refers to the amount of electrical power being delivered through the transmission line, calculated based on the current, maximum voltage, and phase difference between voltage and current.

2. How Does the Calculator Work?

The calculator uses the power transmission formula:

\[ P = I \times V_m \times \cos(\Phi) \times \left(\frac{3}{\sqrt{2}}\right) \]

Where:

\( P \) — Power Transmitted (W)
\( I \) — Current Overhead AC (A)
\( V_m \) — Maximum Voltage Overhead AC (V)
\( \Phi \) — Phase Difference (rad)
\( \cos \) — Cosine function
\( \sqrt{2} \) — Square root of 2

Explanation: The formula calculates the real power transmitted in a 3-phase 4-wire system, accounting for the phase difference between voltage and current using the power factor (cosΦ).

3. Importance of Power Transmission Calculation

Details: Accurate power transmission calculation is crucial for designing efficient electrical systems, determining line losses, optimizing energy transfer, and ensuring proper equipment sizing in overhead transmission systems.

4. Using the Calculator

Tips: Enter current in amperes, maximum voltage in volts, and phase difference in radians. All values must be positive and valid for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is the 3/√2 factor used in the formula?
A: The 3/√2 factor accounts for the conversion between maximum voltage and RMS voltage in a 3-phase system, ensuring accurate power calculation.

Q2: What is the significance of phase difference in power calculation?
A: Phase difference determines the power factor (cosΦ), which indicates how effectively the electrical power is being converted into useful work output.

Q3: How does this differ from single-phase power calculation?
A: 3-phase systems use different conversion factors and provide more efficient power transmission with better power handling capacity compared to single-phase systems.

Q4: What are typical phase difference values in practical systems?
A: Phase difference typically ranges from 0 to π/2 radians (0-90 degrees), with lower values indicating better power factor and more efficient power transmission.

Q5: Can this calculator be used for underground cable systems?
A: While the fundamental formula is similar, underground systems may have different characteristics and additional factors that should be considered for precise calculations.