Power Transmitted Using Area Of X-Section(Single-Phase Two-Wire Mid-Point Earthed OS) Calculator

Formula Used:

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

Area of Overhead AC Wire (A):

m²

Maximum Voltage Overhead AC (Vm):

Line Losses (Ploss):

Phase Difference (Φ):

rad

Resistivity (ρ):

Ω·m

Length of Overhead AC Wire (L):

Power Transmitted (P):

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1. What is Power Transmitted Using Area Of X-Section?

The Power Transmitted Using Area Of X-Section formula calculates the electrical power that can be transmitted through an overhead AC wire based on its cross-sectional area, maximum voltage, line losses, phase difference, resistivity, and length. This is particularly important for Single-Phase Two-Wire Mid-Point Earthed Overhead Systems.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( P \) — Power Transmitted (W)
\( A \) — Area of Overhead AC Wire (m²)
\( V_m \) — Maximum Voltage Overhead AC (V)
\( P_{\text{loss}} \) — Line Losses (W)
\( \Phi \) — Phase Difference (rad)
\( \rho \) — Resistivity (Ω·m)
\( L \) — Length of Overhead AC Wire (m)

Explanation: This formula calculates the maximum power that can be transmitted through an overhead AC wire while accounting for various electrical and physical parameters that affect power transmission efficiency.

3. Importance of Power Transmission Calculation

Details: Accurate power transmission calculation is crucial for designing efficient electrical distribution systems, minimizing energy losses, ensuring system stability, and optimizing the sizing of electrical components in overhead AC systems.

4. Using the Calculator

Tips: Enter all values in appropriate units (area in m², voltage in V, losses in W, phase in radians, resistivity in Ω·m, and length in m). All values must be positive and non-zero except line losses which can be zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is cross-sectional area important in power transmission?
A: Larger cross-sectional area reduces resistance, which minimizes power losses and allows for higher power transmission capacity.

Q2: How does voltage affect power transmission?
A: Higher transmission voltages reduce current for the same power, which decreases I²R losses and improves transmission efficiency.

Q3: What is the significance of phase difference in this calculation?
A: Phase difference affects the power factor, which determines the ratio of real power to apparent power in AC systems.

Q4: How does resistivity impact power transmission?
A: Materials with lower resistivity (better conductors) experience less resistance and therefore lower power losses during transmission.

Q5: Why consider line losses in power transmission calculations?
A: Accounting for line losses helps design systems that minimize energy waste and ensure adequate power delivery to the end users.