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

Formula Used:

\[ Length\ of\ Wire\ DC = \frac{Area\ of\ underground\ dc\ wire \times Line\ Losses \times (Maximum\ Voltage)^2}{2 \times Resistivity \times (Power\ Transmitted)^2} \] \[ l = \frac{A \times P_{line} \times V_m^2}{2 \times \rho \times P^2} \]

Area of Underground DC Wire (A):

m²

Line Losses (P_line):

Maximum Voltage (V_m):

Resistivity (ρ):

Ω·m

Power Transmitted (P):

Length of Wire DC (l):

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

This calculation determines the length of a DC two-wire underground cable based on its cross-sectional area, line losses, maximum voltage, resistivity, and power transmitted. It's essential for designing efficient electrical distribution systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l = \frac{A \times P_{line} \times V_m^2}{2 \times \rho \times P^2} \]

Where:

\( l \) — Length of Wire DC (meters)
\( A \) — Area of underground dc wire (m²)
\( P_{line} \) — Line Losses (W)
\( V_m \) — Maximum Voltage (V)
\( \rho \) — Resistivity (Ω·m)
\( P \) — Power Transmitted (W)

Explanation: This formula calculates the maximum allowable length of a DC two-wire underground cable based on electrical parameters and acceptable power losses.

3. Importance of Length Calculation

Details: Accurate length calculation is crucial for designing electrical systems with minimal power loss, ensuring voltage stability, and optimizing cable sizing for cost efficiency.

4. Using the Calculator

Tips: Enter all values in appropriate units (area in m², line losses in W, maximum voltage in V, resistivity in Ω·m, and power in W). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is resistivity important in this calculation?
A: Resistivity determines how strongly a material opposes current flow, directly affecting power losses and thus the maximum allowable cable length.

Q2: How do line losses affect the maximum cable length?
A: Higher acceptable line losses allow for longer cable lengths, while lower acceptable losses restrict the maximum length.

Q3: What is the significance of maximum voltage in this calculation?
A: Maximum voltage affects the power transmission capacity and influences the voltage drop calculation along the cable length.

Q4: Are there limitations to this formula?
A: This formula assumes uniform cable properties, constant temperature, and doesn't account for reactive power or skin effect in AC systems.

Q5: How does cable area affect the maximum length?
A: Larger cable cross-sectional area reduces resistance, allowing for longer cable lengths with the same power loss.