Constant(3-Phase 4-Wire OS) Calculator

Constant Overhead AC Formula:

\[ K = \frac{4 \times P^2 \times \rho \times L^2}{P_{loss} \times V_m^2} \]

Power Transmitted (P):

Watt

Resistivity (ρ):

Ω·m

Length of Overhead AC Wire (L):

Meter

Line Losses (P_loss):

Watt

Maximum Voltage Overhead AC (V_m):

Volt

Constant Overhead AC (K):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Constant Overhead AC?

Constant Overhead AC is defined as the constant of line of an Overhead supply system for 3-phase 4-wire systems. It represents the relationship between power transmission parameters and system losses.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ K = \frac{4 \times P^2 \times \rho \times L^2}{P_{loss} \times V_m^2} \]

Where:

\( K \) — Constant Overhead AC
\( P \) — Power Transmitted (Watt)
\( \rho \) — Resistivity (Ω·m)
\( L \) — Length of Overhead AC Wire (Meter)
\( P_{loss} \) — Line Losses (Watt)
\( V_m \) — Maximum Voltage Overhead AC (Volt)

Explanation: This formula calculates the system constant based on power transmission characteristics and electrical properties of the overhead line.

3. Importance of Constant Calculation

Details: Calculating the constant is crucial for system design, efficiency analysis, and optimization of 3-phase 4-wire overhead AC transmission systems.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure all values are positive and valid for accurate calculation results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the constant in overhead systems?
A: The constant helps in analyzing system efficiency, designing transmission lines, and optimizing power delivery in 3-phase 4-wire systems.

Q2: How does resistivity affect the constant?
A: Higher resistivity materials will result in a higher constant value, indicating greater system losses for the same power transmission.

Q3: What are typical values for this constant?
A: The constant varies based on system design and materials used, but lower values generally indicate more efficient transmission systems.

Q4: How does wire length impact the constant?
A: Longer wire lengths significantly increase the constant value due to the squared relationship in the formula, indicating higher losses.

Q5: Can this calculator be used for DC systems?
A: No, this specific formula and calculator are designed for 3-phase 4-wire AC overhead transmission systems.