Constant Using Area Of X-Section (1-Phase 2-Wire US) Calculator

Constant Using Area Of X-Section (1-Phase 2-Wire US) Formula:

\[ K = A \times L \times (\cos(\Phi))^2 \]

Constant Underground AC:

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1. What is Constant Using Area Of X-Section (1-Phase 2-Wire US)?

Constant Underground AC is defined as the constant of line of an Overhead supply system. It represents a calculated value based on the cross-sectional area, length, and phase difference in a 1-phase 2-wire underground AC system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ K = A \times L \times (\cos(\Phi))^2 \]

Where:

\( K \) — Constant Underground AC
\( A \) — Area of Underground AC Wire (m²)
\( L \) — Length of Underground AC Wire (m)
\( \Phi \) — Phase Difference (radians)

Explanation: The formula calculates the system constant by multiplying the cross-sectional area, length, and the square of the cosine of the phase difference.

3. Importance of Constant Calculation

Details: Calculating the system constant is crucial for power system analysis, line parameter calculations, and determining the electrical characteristics of underground AC transmission systems.

4. Using the Calculator

Tips: Enter the cross-sectional area in square meters, length in meters, and phase difference in radians. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the phase difference in this calculation?
A: The phase difference affects the power factor of the system, which is squared in the constant calculation to account for its impact on system performance.

Q2: Can this formula be used for overhead transmission lines?
A: While similar principles apply, overhead lines may have different constants due to varying environmental factors and construction methods.

Q3: What are typical values for underground AC wire area?
A: Typical values range from 50mm² to 500mm² (0.00005 to 0.0005 m²) depending on the current carrying capacity requirements.

Q4: How does wire length affect the constant?
A: The constant increases linearly with wire length, as longer wires have greater resistance and inductance.

Q5: Is this calculation applicable to DC systems?
A: No, this specific formula is designed for AC systems where phase difference and power factor are relevant considerations.