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

Formula Used:

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

Area of Underground DC Wire:

m²

Line Losses:

Maximum Voltage:

Resistivity:

Ω·m

Length of Wire DC:

Power Transmitted:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Power Transmitted Using Area of X-Section?

Power Transmitted Using Area of X-Section calculates the amount of power that can be transferred through a DC two-wire underground system based on the cross-sectional area of the wire, line losses, maximum voltage, resistivity, and length of the wire.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the maximum power that can be transmitted through a DC two-wire system while accounting for line losses and material properties.

3. Importance of Power Transmission Calculation

Details: Accurate power transmission calculation is crucial for designing efficient electrical distribution systems, minimizing energy losses, and ensuring proper sizing of conductors for underground DC applications.

4. Using the Calculator

Tips: Enter all values in appropriate units (area in m², losses in W, voltage in V, resistivity in Ω·m, length in m). All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is cross-sectional area important in power transmission?
A: Larger cross-sectional area reduces resistance and thus minimizes power losses during transmission, allowing more efficient power delivery.

Q2: How does resistivity affect power transmission?
A: Materials with lower resistivity allow better current flow with less energy loss, making them more efficient for power transmission applications.

Q3: What are typical line losses in underground DC systems?
A: Line losses typically range from 2-5% of the total transmitted power, depending on the system design and conductor properties.

Q4: Why use underground DC transmission instead of overhead?
A: Underground DC transmission offers better reliability, reduced visual impact, lower maintenance costs, and better protection from environmental factors.

Q5: How does wire length affect power transmission capacity?
A: Longer wires have higher resistance, which increases power losses and reduces the amount of power that can be effectively transmitted over distance.