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Length Using Area of X-Section(DC 3-Wire) Calculator

Formula Used:

\[ L = \frac{A \times P_{loss}}{I^2 \times \rho} \]

W
A
Ω·m

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1. What is Length Using Area of X-Section(DC 3-Wire)?

This calculation determines the length of a DC 3-wire overhead transmission line based on its cross-sectional area, line losses, current, and material resistivity. It's essential for designing efficient power transmission systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = \frac{A \times P_{loss}}{I^2 \times \rho} \]

Where:

Explanation: The formula calculates wire length by considering how power losses relate to the wire's resistance, which depends on its material properties and dimensions.

3. Importance of Length Calculation

Details: Accurate length calculation is crucial for determining power transmission efficiency, voltage drop considerations, and proper system design in DC 3-wire overhead systems.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure positive values for all inputs (area > 0, current > 0, resistivity > 0, losses ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: Why is resistivity important in this calculation?
A: Resistivity determines how strongly the wire material opposes current flow, directly affecting resistance and power losses.

Q2: What are typical resistivity values for common conductors?
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.

Q3: How does wire area affect the length calculation?
A: Larger cross-sectional area reduces resistance, allowing for longer wire lengths with the same power loss.

Q4: What factors affect line losses in overhead DC systems?
A: Current magnitude, wire resistance, length, temperature, and material properties all contribute to line losses.

Q5: Are there limitations to this calculation?
A: This assumes uniform material properties and constant current. Temperature variations and skin effect are not considered.

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