Length Of Line Using Line Losses(Two-Wire One Conductor Earthed) Calculator

Formula Used:

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

Line Losses (P_loss):

Watt

Area of Overhead DC Wire (A):

m²

Current Overhead DC (I):

Ampere

Resistivity (ρ):

Ω·m

Length of Wire DC (L):

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1. What is the Length Calculation Formula?

The formula calculates the length of a DC wire in a two-wire one conductor earthed system based on line losses, wire area, current, and material resistivity. It helps determine the maximum allowable wire length for a given power loss.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( L \) — Length of Wire DC (meters)
\( P_{loss} \) — Line Losses (Watts)
\( A \) — Area of Overhead DC Wire (m²)
\( I \) — Current Overhead DC (Amperes)
\( \rho \) — Resistivity (Ω·m)

Explanation: The formula derives from the relationship between power loss, current, resistance, and wire dimensions in DC systems.

3. Importance of Length Calculation

Details: Accurate length calculation is crucial for designing efficient DC power transmission systems, minimizing energy losses, and ensuring proper voltage regulation.

4. Using the Calculator

Tips: Enter line losses in watts, wire area in square meters, current in amperes, and resistivity in ohm-meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is the formula specific to two-wire one conductor earthed systems?
A: This configuration has specific current paths and loss characteristics that differ from other DC system configurations.

Q2: How does wire material affect the calculation?
A: Different materials have different resistivity values (ρ), which directly impact the calculated length for the same power loss.

Q3: 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.

Q4: Does temperature affect the calculation?
A: Yes, resistivity changes with temperature. The calculation assumes constant temperature conditions.

Q5: Can this calculator be used for AC systems?
A: No, this formula is specifically designed for DC systems. AC systems have additional factors like skin effect and power factor.