Transmitted Power using Line Losses (2-Phase 3-Wire US) Calculator

Formula Used:

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

Line Losses (Ploss):

Watt

Area of Underground AC Wire (A):

m²

Maximum Voltage Underground AC (Vm):

Volt

Phase Difference (Φ):

Radian

Resistivity (ρ):

Ω·m

Length of Underground AC Wire (L):

Meter

Power Transmitted (P):

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1. What is the Transmitted Power using Line Losses Formula?

The formula calculates the power transmitted in a 2-Phase 3-Wire US underground AC system while accounting for line losses. It considers various electrical parameters including line losses, wire area, maximum voltage, phase difference, resistivity, and wire length to determine the actual power being transmitted.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( P \) — Power Transmitted (Watt)
\( P_{loss} \) — Line Losses (Watt)
\( A \) — Area of Underground AC Wire (m²)
\( V_m \) — Maximum Voltage Underground AC (Volt)
\( \Phi \) — Phase Difference (Radian)
\( \rho \) — Resistivity (Ω·m)
\( L \) — Length of Underground AC Wire (Meter)

Explanation: The formula calculates transmitted power by considering the relationship between line losses, wire characteristics, and electrical parameters in a 2-phase 3-wire underground AC system.

3. Importance of Power Transmission Calculation

Details: Accurate power transmission calculation is crucial for designing efficient electrical distribution systems, minimizing energy losses, and ensuring proper system capacity planning for underground AC networks.

4. Using the Calculator

Tips: Enter all values in appropriate units. Line losses, area, voltage, resistivity, and length must be positive values. Phase difference should be in radians (0 to 2π).

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the (2 + √2) factor in the denominator?
A: This factor accounts for the specific configuration of a 2-phase 3-wire system and helps in accurately calculating the transmitted power while considering the system's unique characteristics.

Q2: How does phase difference affect power transmission?
A: Phase difference affects the power factor (cosΦ), which directly impacts the real power transmitted. A lower power factor means less real power is transmitted for the same apparent power.

Q3: Why is wire area important in power transmission calculations?
A: Larger wire area reduces resistance, which decreases line losses and allows more power to be transmitted efficiently over longer distances.

Q4: How does resistivity affect power transmission?
A: Higher resistivity materials cause greater resistance in the wire, leading to increased line losses and reduced power transmission efficiency.

Q5: When is this calculation particularly important?
A: This calculation is crucial when designing underground power distribution systems, optimizing existing networks, and troubleshooting power transmission issues in 2-phase 3-wire configurations.