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

Power Transmitted Formula:

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

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 Two-Phase Three-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 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 constant

Explanation: The formula calculates the real power transmitted in a two-phase three-wire system by accounting for the RMS value conversion through the √2 factor and the power factor through cos(Φ).

3. Importance of Power Transmission Calculation

Details: Accurate power transmission calculation is essential for system design, efficiency analysis, load balancing, and ensuring optimal performance of electrical distribution networks.

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 √2 factor used in the formula?
A: The √2 factor converts the maximum voltage to RMS (Root Mean Square) voltage, which is the equivalent DC voltage that would deliver the same power.

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.

Q3: What are typical values for phase difference?
A: Phase difference typically ranges from 0 to π/2 radians (0° to 90°), with 0 representing purely resistive load and π/2 representing purely reactive load.

Q4: How does this differ from single-phase power calculation?
A: Two-phase systems use different calculation methods due to the phase relationship between the two voltage waveforms and the three-wire configuration.

Q5: What are the limitations of this calculation?
A: This calculation assumes balanced loads and ideal conditions. Actual systems may have harmonics, imbalances, and other factors that affect accuracy.