Maximum Voltage using Area of X-Section(Two-Phase Three-Wire OS) Calculator

Maximum Voltage Formula:

\[ V_m = \sqrt{\frac{L \cdot \rho \cdot P^2 \cdot (2 + \sqrt{2})}{2 \cdot A \cdot P_{\text{loss}} \cdot (\cos(\Phi))^2}} \]

Length of Overhead AC Wire:

Resistivity:

Ω·m

Power Transmitted:

Area of Overhead AC Wire:

m²

Line Losses:

Phase Difference:

rad

Maximum Voltage Overhead AC:

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1. What is Maximum Voltage using Area of X-Section?

The Maximum Voltage using Area of X-Section formula calculates the peak voltage in a two-phase three-wire overhead system based on various electrical parameters including wire length, resistivity, transmitted power, cross-sectional area, line losses, and phase difference.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_m = \sqrt{\frac{L \cdot \rho \cdot P^2 \cdot (2 + \sqrt{2})}{2 \cdot A \cdot P_{\text{loss}} \cdot (\cos(\Phi))^2}} \]

Where:

\( V_m \) — Maximum Voltage Overhead AC (V)
\( L \) — Length of Overhead AC Wire (m)
\( \rho \) — Resistivity (Ω·m)
\( P \) — Power Transmitted (W)
\( A \) — Area of Overhead AC Wire (m²)
\( P_{\text{loss}} \) — Line Losses (W)
\( \Phi \) — Phase Difference (rad)

Explanation: The formula calculates the maximum voltage by considering the electrical properties and losses in the transmission system.

3. Importance of Maximum Voltage Calculation

Details: Accurate maximum voltage calculation is crucial for proper system design, insulation selection, and ensuring safe and efficient power transmission in overhead AC systems.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for length, Ω·m for resistivity, watts for power and losses, m² for area, and radians for phase difference). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the (2+√2) factor?
A: This factor accounts for the specific configuration and phase relationships in a two-phase three-wire system.

Q2: How does wire area affect maximum voltage?
A: Larger wire cross-sectional area reduces resistance and losses, allowing for higher maximum voltage transmission.

Q3: Why is phase difference important in this calculation?
A: Phase difference affects the power factor, which significantly impacts voltage requirements and system efficiency.

Q4: What are typical resistivity values for overhead wires?
A: Copper has resistivity of about 1.68×10⁻⁸ Ω·m, while aluminum is about 2.82×10⁻⁸ Ω·m at 20°C.

Q5: How do line losses affect maximum voltage?
A: Higher line losses require higher voltage to maintain the same power transmission level, increasing the maximum voltage requirement.