Line Losses Formula:
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Line Losses Using Area of X-Section calculates the power losses in a DC two-wire underground system based on current, resistivity, length, and cross-sectional area of the wire. It helps in determining the efficiency of power transmission.
The calculator uses the formula:
Where:
Explanation: The formula calculates power losses by considering the square of current, material resistivity, wire length, and inversely with the cross-sectional area.
Details: Accurate calculation of line losses is essential for designing efficient power transmission systems, minimizing energy waste, and ensuring proper system performance.
Tips: Enter current in amperes, resistivity in ohm-meters, length in meters, and area in square meters. All values must be positive and non-zero.
Q1: Why is the formula multiplied by 2?
A: The factor of 2 accounts for the two wires in the DC two-wire system where losses occur in both conductors.
Q2: What is typical resistivity for copper wire?
A: Copper has a resistivity of approximately 1.68 × 10⁻⁸ Ω·m at 20°C.
Q3: How does wire area affect line losses?
A: Larger cross-sectional area reduces resistance and thus decreases line losses for the same current flow.
Q4: Can this formula be used for AC systems?
A: No, this formula is specifically for DC systems. AC systems have additional factors like skin effect and power factor.
Q5: What are practical ways to reduce line losses?
A: Using conductors with larger cross-sectional area, higher conductivity materials, or reducing transmission distance can minimize line losses.