Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS) Calculator

Formula Used:

\[ P = \sqrt{\frac{3 \times P_{\text{loss}} \times V \times (V_m \times \cos(\Phi))^2}{7 \times \rho \times L^2}} \]

Line Losses (P_loss):

Watt

Volume of Conductor (V):

m³

Maximum Voltage Overhead AC (V_m):

Volt

Phase Difference (Φ):

rad

Resistivity (ρ):

Ω·m

Length of Overhead AC Wire (L):

Power Transmitted (P):

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1. What is Power Transmitted using Volume of Conductor Material?

This calculation determines the power transmitted through a 3-phase 4-wire overhead system based on the volume of conductor material used, line losses, maximum voltage, phase difference, resistivity, and length of the wire.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \sqrt{\frac{3 \times P_{\text{loss}} \times V \times (V_m \times \cos(\Phi))^2}{7 \times \rho \times L^2}} \]

Where:

\( P \) — Power Transmitted (Watt)
\( P_{\text{loss}} \) — Line Losses (Watt)
\( V \) — Volume of Conductor (m³)
\( V_m \) — Maximum Voltage Overhead AC (Volt)
\( \Phi \) — Phase Difference (radians)
\( \rho \) — Resistivity (Ω·m)
\( L \) — Length of Overhead AC Wire (m)

Explanation: This formula calculates the power transmission capacity considering various electrical and material parameters of the overhead AC system.

3. Importance of Power Transmission Calculation

Details: Accurate power transmission calculation is crucial for designing efficient electrical distribution systems, optimizing conductor material usage, and minimizing energy losses in overhead power lines.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure all inputs are positive values. The calculator will compute the power transmitted through the 3-phase 4-wire overhead system.

5. Frequently Asked Questions (FAQ)

Q1: Why is conductor volume important in power transmission?
A: The volume of conductor material affects the resistance and current-carrying capacity of the transmission line, which directly impacts power transmission efficiency.

Q2: What factors affect line losses in overhead systems?
A: Line losses are influenced by conductor resistance, current magnitude, length of the line, and environmental conditions.

Q3: How does phase difference affect power transmission?
A: Phase difference (power factor) affects the real power component of the transmitted power. A lower power factor results in higher losses for the same apparent power.

Q4: Why is resistivity an important parameter?
A: Resistivity determines how strongly the conductor material opposes current flow, directly affecting the resistance and thus the power losses in the system.

Q5: What are typical values for overhead system parameters?
A: Typical values vary based on system design, but common ranges include: voltages from 11kV to 765kV, conductor resistivities from 1.68×10⁻⁸ to 2.82×10⁻⁸ Ω·m for common materials, and lengths from hundreds of meters to hundreds of kilometers.