Constant Using Load Current (Single-Phase Three-Wire OS) Calculator

Formula Used:

\[ \text{Constant Overhead AC} = \frac{32 \times \text{Resistivity} \times (\text{Current Overhead AC} \times \text{Length of Overhead AC Wire} \times \cos(\text{Phase Difference}))^2}{\text{Line Losses}} \]

Resistivity (ρ):

Ω·m

Current Overhead AC (I):

Length of Overhead AC Wire (L):

Phase Difference (Φ):

rad

Line Losses:

Constant Overhead AC:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Constant Using Load Current Formula?

The Constant Using Load Current formula calculates the constant overhead AC value based on resistivity, current, wire length, phase difference, and line losses in a single-phase three-wire overhead system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Constant Overhead AC} = \frac{32 \times \rho \times (I \times L \times \cos(\Phi))^2}{P_{\text{loss}}} \]

Where:

\( \rho \) — Resistivity (Ω·m)
\( I \) — Current Overhead AC (A)
\( L \) — Length of Overhead AC Wire (m)
\( \Phi \) — Phase Difference (rad)
\( P_{\text{loss}} \) — Line Losses (W)

Explanation: The formula calculates the system constant by considering the power losses due to resistance and the phase characteristics of the AC system.

3. Importance of Constant Calculation

Details: Calculating the system constant is essential for designing efficient overhead power transmission systems, minimizing energy losses, and optimizing system performance.

4. Using the Calculator

Tips: Enter all values in their respective units. Ensure resistivity > 0, current > 0, length > 0, phase difference ≥ 0, and line losses > 0 for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is resistivity and how does it affect the constant?
A: Resistivity measures how strongly a material opposes current flow. Higher resistivity increases the constant value, indicating more energy loss.

Q2: Why is the cosine of phase difference used?
A: The cosine function accounts for the power factor in AC systems, representing the phase relationship between voltage and current.

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

Q4: How does wire length affect the constant?
A: Longer wires increase resistance and thus increase the constant value, leading to higher energy losses.

Q5: What is the significance of the constant value?
A: The constant helps engineers design systems with optimal balance between transmission efficiency and material costs.