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

Formula Used:

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

Area of Overhead AC Wire:

m²

Maximum Voltage Overhead AC:

Line Losses:

Phase Difference:

rad

Resistivity:

Ω·m

Power Transmitted:

Length of Overhead AC Wire:

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1. What is Length of Wire using Area of X-Section(Two-Phase Three-Wire OS)?

This calculation determines the length of overhead AC wire in a two-phase three-wire system based on the cross-sectional area, maximum voltage, line losses, phase difference, resistivity, and power transmitted. It's essential for proper system design and efficiency.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the wire length considering electrical parameters and system characteristics for a two-phase three-wire overhead system.

3. Importance of Length Calculation

Details: Accurate wire length calculation is crucial for proper system design, voltage drop management, loss minimization, and ensuring efficient power transmission in overhead AC systems.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure values are positive and within reasonable ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: Why is wire length important in power systems?
A: Wire length affects resistance, voltage drop, power losses, and overall system efficiency in electrical power transmission.

Q2: What factors influence the maximum length of overhead wires?
A: Voltage level, conductor material, cross-sectional area, permissible voltage drop, and power loss limits determine maximum practical wire length.

Q3: How does phase difference affect the calculation?
A: Phase difference (power factor) affects the reactive power component and influences the actual power transmission efficiency.

Q4: What are typical resistivity values for common conductor materials?
A: Copper: ~1.68×10⁻⁸ Ω·m, Aluminum: ~2.82×10⁻⁸ Ω·m, Silver: ~1.59×10⁻⁸ Ω·m at 20°C.

Q5: When should this calculation be used?
A: This specific formula is designed for two-phase three-wire overhead AC systems during planning and design phases.