Constant (Single Phase Two Wire Mid-Point Earthed) Calculator

Constant Overhead AC Formula:

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

Power Transmitted (P):

Watt

Resistivity (ρ):

Ω·m

Length of Overhead AC Wire (L):

Meter

Line Losses (P_loss):

Watt

Voltage Overhead AC (V_ac):

Volt

Constant Overhead AC (K):

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1. What is the Constant Overhead AC?

The Constant Overhead AC is defined as the constant of line of an Overhead supply system. It represents a key parameter in calculating the efficiency and performance characteristics of overhead AC transmission lines.

2. How Does the Calculator Work?

The calculator uses the Constant Overhead AC formula:

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

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)
\( V_{ac} \) — Voltage Overhead AC (Volt)

Explanation: The formula calculates the constant value based on the relationship between transmitted power, line characteristics, and system losses.

3. Importance of Constant Calculation

Details: Accurate calculation of 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 all values in their respective units (Power in Watts, Resistivity in Ω·m, Length in Meters, Losses in Watts, Voltage in Volts). All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What does the Constant Overhead AC represent?
A: It represents a system constant that characterizes the relationship between power transmission parameters and line losses in overhead AC systems.

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

Q3: Why is voltage squared in the denominator?
A: The voltage squared term reflects the relationship between voltage level and power loss reduction - higher voltages significantly reduce transmission losses.

Q4: What are typical values for this constant?
A: The constant varies widely depending on system parameters, but is typically a small decimal value that helps engineers optimize transmission line design.

Q5: How accurate is this calculation?
A: The calculation provides a theoretical constant based on ideal conditions. Actual system performance may vary due to environmental factors and other real-world conditions.