Power Transmitted Using Load Current (Single-Phase Three-Wire OS) Calculator

Formula Used:

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

Current Overhead AC (I):

Ampere

Maximum Voltage Overhead AC (Vm):

Volt

Phase Difference (Φ):

Radian

Power Transmitted (P):

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1. What is Power Transmitted Using Load Current?

Power Transmitted Using Load Current in a Single-Phase Three-Wire Overhead System refers to the actual power delivered through the system, 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 (Watt)
\( I \) — Current Overhead AC (Ampere)
\( V_m \) — Maximum Voltage Overhead AC (Volt)
\( \Phi \) — Phase Difference (Radian)
\( \cos \) — Cosine function
\( \sqrt{2} \) — Square root of 2 (approximately 1.4142)

Explanation: This formula calculates the real power transmitted in a single-phase three-wire overhead system, accounting for the phase difference between current and voltage.

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 (current > 0, voltage > 0, phase difference ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: Why is the square root of 2 used in the formula?
A: The \(\sqrt{2}\) factor converts the maximum voltage to RMS voltage, as power calculations typically use RMS values.

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

Q4: What are typical values for phase difference?
A: Phase difference typically ranges from 0 to \(\pi/2\) radians (0-90 degrees), with 0 representing purely resistive load and \(\pi/2\) representing purely reactive load.

Q5: Can this calculator be used for DC systems?
A: No, this calculator is specifically designed for AC systems. DC power calculation uses the simpler formula P = V × I without the power factor or \(\sqrt{2}\) factor.