RMS Voltage using Load Current (Single-Phase Three-Wire OS) Calculator

Formula Used:

\[ V_{rms} = \frac{P}{I \cdot \cos(\Phi)} \]

Root Mean Square Voltage (Vrms):

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1. What is RMS Voltage using Load Current?

The RMS (Root Mean Square) Voltage using Load Current in a Single-Phase Three-Wire Overhead System represents the effective voltage value that delivers the same power as a DC voltage. It is calculated based on transmitted power, current, and power factor.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{rms} = \frac{P}{I \cdot \cos(\Phi)} \]

Where:

\( V_{rms} \) — Root Mean Square Voltage (Volt)
\( P \) — Power Transmitted (Watt)
\( I \) — Current Overhead AC (Ampere)
\( \Phi \) — Phase Difference (Radian)
\( \cos \) — Cosine function

Explanation: The formula calculates the RMS voltage by dividing the transmitted power by the product of current and the cosine of the phase difference (power factor).

3. Importance of RMS Voltage Calculation

Details: Accurate RMS voltage calculation is crucial for power system analysis, equipment sizing, voltage regulation, and ensuring efficient power transmission in overhead AC systems.

4. Using the Calculator

Tips: Enter power in watts, current in amperes, and phase difference in radians. All values must be positive (power > 0, current > 0, phase difference ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: Why use RMS voltage instead of peak voltage?
A: RMS voltage represents the equivalent DC voltage that would deliver the same power, making it more useful for power calculations and equipment ratings.

Q2: What is the significance of phase difference in this calculation?
A: Phase difference (power factor) accounts for the phase shift between voltage and current, which affects the actual power delivered in AC systems.

Q3: Can this calculator be used for three-phase systems?
A: No, this specific calculator is designed for single-phase three-wire overhead systems. Three-phase systems require different calculations.

Q4: What are typical RMS voltage values in overhead systems?
A: Typical values range from 120V to 240V for residential systems and up to 69kV or higher for transmission systems, depending on the application.

Q5: How does power factor affect RMS voltage calculation?
A: Lower power factor (higher phase difference) requires higher RMS voltage to deliver the same power at the same current, highlighting the importance of power factor correction.