Maximum Voltage Using Load Current Per Phase (3-Phase 3-Wire US) Calculator

Maximum Voltage Formula:

\[ V_m = \frac{\sqrt{6} \times P}{3 \times C_1 \times \cos(\theta)} \]

Maximum Voltage (V_m):

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1. What Is Maximum Voltage Using Load Current Per Phase?

Maximum Voltage Using Load Current Per Phase refers to the highest voltage level in a 3-phase 3-wire underground DC system, calculated based on transmitted power, current, and phase angle.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ V_m = \frac{\sqrt{6} \times P}{3 \times C_1 \times \cos(\theta)} \]

Where:

\( V_m \) — Maximum Voltage (Volt)
\( P \) — Power Transmitted (Watt)
\( C_1 \) — Current Underground DC (Ampere)
\( \theta \) — Theta (Radian)
\( \sqrt{6} \) — Square root of 6 constant
\( \cos(\theta) \) — Cosine of angle theta

Explanation: This formula calculates the maximum voltage in a 3-phase 3-wire system by considering the transmitted power, current per phase, and the phase angle between voltage and current.

3. Importance Of Maximum Voltage Calculation

Details: Calculating maximum voltage is crucial for system design, insulation selection, safety considerations, and ensuring proper operation of electrical equipment in underground DC systems.

4. Using The Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is the square root of 6 used in the formula?
A: The √6 factor comes from the mathematical derivation for converting between line and phase quantities in 3-phase systems.

Q2: What is the significance of the cosine term?
A: The cos(θ) accounts for the power factor, representing the phase difference between voltage and current waveforms.

Q3: Can this formula be used for AC systems?
A: This specific formula is designed for DC underground systems. AC systems may require different calculations.

Q4: What are typical values for theta in underground DC systems?
A: In DC systems, theta is typically zero since there's no phase difference between voltage and current in pure DC.

Q5: How does maximum voltage affect system design?
A: Maximum voltage determines insulation requirements, conductor spacing, and equipment specifications to ensure safe and reliable operation.