Power Transmitted using Area of X-Section(Two-Phase Three-Wire OS) Calculator

Formula Used:

\[ P = \sqrt{\frac{2 \times A \times V_m^2 \times P_{loss} \times (\cos(\Phi))^2}{(2 + \sqrt{2}) \times \rho \times L}} \]

Area of Overhead AC Wire (A):

m²

Maximum Voltage Overhead AC (Vm):

Line Losses (Ploss):

Phase Difference (Φ):

rad

Resistivity (ρ):

Ω·m

Length of Overhead AC Wire (L):

Power Transmitted (P):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Power Transmitted using Area of X-Section(Two-Phase Three-Wire OS)?

Power Transmitted using Area of X-Section in a Two-Phase Three-Wire Overhead System calculates the amount of electrical power that can be transmitted through the system based on the cross-sectional area of the wire and other system parameters.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \sqrt{\frac{2 \times A \times V_m^2 \times P_{loss} \times (\cos(\Phi))^2}{(2 + \sqrt{2}) \times \rho \times L}} \]

Where:

\( P \) — Power Transmitted (W)
\( A \) — Area of Overhead AC Wire (m²)
\( V_m \) — Maximum Voltage Overhead AC (V)
\( P_{loss} \) — Line Losses (W)
\( \Phi \) — Phase Difference (rad)
\( \rho \) — Resistivity (Ω·m)
\( L \) — Length of Overhead AC Wire (m)

Explanation: This formula calculates the power transmission capacity considering wire area, voltage, losses, phase difference, material resistivity, and wire length.

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 optimal performance.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure positive values for all parameters. Phase difference should be in radians (0 to π/2 for typical power systems).

5. Frequently Asked Questions (FAQ)

Q1: Why is cross-sectional area important in power transmission?
A: Larger cross-sectional area reduces resistance, which decreases power losses and allows for higher power transmission capacity.

Q2: How does phase difference affect power transmission?
A: Power factor (cosΦ) directly affects the real power transmission capacity. Lower power factor means less real power can be transmitted for the same apparent power.

Q3: What are typical resistivity values for overhead wires?
A: Copper: ~1.68×10⁻⁸ Ω·m, Aluminum: ~2.82×10⁻⁸ Ω·m, depending on purity and temperature.

Q4: How do line losses affect power transmission efficiency?
A: Higher line losses reduce the efficiency of power transmission as more energy is dissipated as heat in the conductors.

Q5: Why use a two-phase three-wire system?
A: This system provides better power balance and can handle higher loads compared to single-phase systems, while being more economical than three-phase systems for certain applications.