Constant Using Load Current (1-Phase 2-Wire US) Calculator

Constant Underground AC Formula:

\[ K = \frac{2 \times I^2 \times \cos(\Phi)^2 \times \rho \times L^2}{P_{loss}} \]

Current Underground AC (I):

Phase Difference (Φ):

rad

Resistivity (ρ):

Ω·m

Length of Underground AC Wire (L):

Line Losses (P_loss):

Constant Underground AC (K):

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1. What is Constant Using Load Current?

The Constant Underground AC is defined as the constant of line for a 1-Phase 2-Wire US underground system. It represents the relationship between current, phase difference, resistivity, wire length, and power losses in the system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ K = \frac{2 \times I^2 \times \cos(\Phi)^2 \times \rho \times L^2}{P_{loss}} \]

Where:

\( K \) — Constant Underground AC
\( I \) — Current Underground AC (Ampere)
\( \Phi \) — Phase Difference (Radian)
\( \rho \) — Resistivity (Ohm Meter)
\( L \) — Length of Underground AC Wire (Meter)
\( P_{loss} \) — Line Losses (Watt)

Explanation: The formula calculates the system constant based on the squared current, squared cosine of phase difference, material resistivity, squared wire length, and power losses.

3. Importance of Constant Calculation

Details: Calculating the system constant is crucial for designing efficient underground AC systems, optimizing power transmission, and minimizing energy losses in 1-Phase 2-Wire US configurations.

4. Using the Calculator

Tips: Enter current in amperes, phase difference in radians, resistivity in ohm-meters, wire length in meters, and line losses in watts. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the constant in underground AC systems?
A: The constant helps in characterizing the system's performance and efficiency under different load conditions.

Q2: How does phase difference affect the constant calculation?
A: Phase difference affects power factor, which significantly impacts the constant value through the cos(Φ)² term.

Q3: Why is resistivity important in this calculation?
A: Resistivity determines how strongly the wire material opposes current flow, directly affecting power losses and system constant.

Q4: How does wire length influence the constant?
A: Wire length has a squared relationship with the constant, meaning longer wires significantly increase the constant value.

Q5: What are typical values for this constant?
A: The constant varies widely depending on system parameters, but typically ranges from very small values to larger numbers based on specific installation conditions.