Constant Using Line Losses (Single Phase Two Wire Mid-Point OS) Calculator

Constant Overhead AC Formula:

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

Resistivity:

Ω·m

Power Transmitted:

Length of Overhead AC Wire:

Line Losses:

Maximum Voltage Overhead AC:

Constant Overhead AC:

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1. What is Constant Overhead AC?

Constant Overhead AC is defined as the constant of line of a Overhead supply system. It represents a calculated value used in electrical engineering to characterize overhead AC transmission lines.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the constant value based on the physical properties and electrical characteristics of the overhead AC transmission line.

3. Importance of Constant Calculation

Details: Calculating the constant is crucial for designing efficient overhead AC transmission systems, optimizing power delivery, and minimizing energy losses in electrical distribution networks.

4. Using the Calculator

Tips: Enter resistivity in Ω·m, power in watts, length in meters, line losses in watts, and maximum voltage in volts. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for Constant Overhead AC values?
A: The constant value varies depending on the specific transmission line configuration, but typically ranges from very small values up to several units.

Q2: How does resistivity affect the constant value?
A: Higher resistivity materials will result in a larger constant value, as resistivity is directly proportional to the constant in the formula.

Q3: What happens to the constant when power transmitted increases?
A: The constant increases with the square of the power transmitted, making it highly sensitive to changes in power levels.

Q4: How does wire length influence the constant?
A: The constant increases with the square of the wire length, meaning longer transmission lines will have significantly larger constant values.

Q5: Why is maximum voltage squared in the denominator?
A: The voltage squared term reflects the relationship between voltage and power loss, where higher voltages typically result in lower losses for the same power transmission.