Length Using Volume Of Conductor Material (2 Phase 3 Wire US) Calculator

Formula Used:

\[ L = \sqrt{\frac{V \times P_{\text{loss}} \times (\cos(\Phi) \times V_m)^2}{\rho \times ((2+\sqrt{2}) \times P^2)}} \]

Volume Of Conductor:

m³

Line Losses:

Phase Difference:

rad

Maximum Voltage Underground AC:

Resistivity:

Ω·m

Power Transmitted:

Length of Underground AC Wire:

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1. What is Length Using Volume Of Conductor Material?

This calculation determines the length of underground AC wire based on conductor material volume, line losses, phase difference, maximum voltage, resistivity, and transmitted power for a 2-phase 3-wire US system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = \sqrt{\frac{V \times P_{\text{loss}} \times (\cos(\Phi) \times V_m)^2}{\rho \times ((2+\sqrt{2}) \times P^2)}} \]

Where:

\( L \) — Length of Underground AC Wire (m)
\( V \) — Volume Of Conductor (m³)
\( P_{\text{loss}} \) — Line Losses (W)
\( \Phi \) — Phase Difference (rad)
\( V_m \) — Maximum Voltage Underground AC (V)
\( \rho \) — Resistivity (Ω·m)
\( P \) — Power Transmitted (W)

Explanation: The formula calculates wire length by considering the relationship between conductor volume, power losses, electrical properties, and system parameters.

3. Importance of Length Calculation

Details: Accurate length calculation is crucial for proper cable installation, voltage drop estimation, power loss optimization, and overall system efficiency in underground AC power distribution.

4. Using the Calculator

Tips: Enter all values in appropriate units. Volume in cubic meters, losses in watts, phase difference in radians, voltage in volts, resistivity in ohm-meters, and power in watts. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why is conductor volume important in length calculation?
A: Conductor volume directly relates to the amount of material used, which affects resistance, current carrying capacity, and overall system performance.

Q2: How does phase difference affect the calculation?
A: Phase difference influences the power factor, which affects the real power component and consequently the voltage drop and power losses.

Q3: What is the significance of the (2+√2) factor?
A: This factor accounts for the specific configuration of a 2-phase 3-wire system, considering the geometric relationships between conductors.

Q4: When should this calculation be used?
A: This calculation is specifically designed for underground AC power distribution systems using a 2-phase 3-wire configuration common in US applications.

Q5: Are there limitations to this formula?
A: The formula assumes uniform conductor material, consistent operating conditions, and may not account for all environmental factors affecting underground cable performance.