Power Transmitted using Load Current (Single-Phase Two-Wire Mid-Point OS) Calculator

Formula Used:

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

Power Transmitted (P):

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1. What is Power Transmitted using Load Current?

Power Transmitted using Load Current in a Single-Phase Two-Wire Mid-Point OS system refers to the amount of electrical power delivered through the overhead supply line, calculated based on the current, maximum voltage, and phase difference between them.

2. How Does the Calculator Work?

The calculator uses the formula:

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

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 constant

Explanation: This formula calculates the real power transmitted in a single-phase two-wire system with mid-point grounding, accounting for the phase relationship between voltage and current.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for system design, efficiency analysis, load management, and ensuring proper operation of electrical distribution systems.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is the square root of 2 used in this formula?
A: The \(\sqrt{2}\) factor converts the maximum voltage to RMS voltage, which is used for power calculations in AC systems.

Q2: What is the significance of phase difference in power calculation?
A: Phase difference determines the power factor, which affects the amount of real power transmitted versus reactive power in the system.

Q3: When is this calculation method most appropriate?
A: This method is specifically designed for single-phase two-wire overhead systems with mid-point grounding configuration.

Q4: Are there limitations to this calculation method?
A: This calculation assumes sinusoidal waveforms and may not be accurate for systems with significant harmonic distortion.

Q5: How does this differ from three-phase power calculations?
A: Single-phase calculations use different formulas and factors compared to three-phase systems, which typically involve \(\sqrt{3}\) instead of \(\sqrt{2}\).