Transmitted Power using Load Current (1 Phase 3 Wire US) Calculator

Formula Used:

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

Current Underground AC (I):

Ampere

Maximum Voltage Underground AC (Vm):

Volt

Phase Difference (Φ):

Radian

Power Transmitted (P):

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1. What is Transmitted Power using Load Current?

Transmitted Power using Load Current refers to the amount of electrical power that is transferred through a 1-phase 3-wire underground AC system, calculated based on the load current, maximum voltage, and phase difference.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( P \) — Power Transmitted (Watt)
\( I \) — Current Underground AC (Ampere)
\( V_m \) — Maximum Voltage Underground 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 3-wire AC system, accounting for the phase difference 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 the formula?
A: The square root of 2 is used to convert from maximum voltage to RMS voltage in AC calculations.

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 in the system.

Q3: Can this calculator be used for other AC systems?
A: This specific formula is designed for 1-phase 3-wire underground AC systems. Other systems may require different formulas.

Q4: What are typical values for phase difference?
A: Phase difference typically ranges from 0 to π/2 radians (0 to 90 degrees), depending on the load characteristics.

Q5: How accurate is this calculation for real-world applications?
A: This calculation provides a theoretical value. Real-world factors like line losses, temperature effects, and system imperfections may affect actual power transmission.