Power Transmitted Using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Calculator

Formula Used:

\[ P = \sqrt{\frac{P_{loss}}{2 \times R}} \times \left( \frac{V_m \times \cos(\Phi)}{\sqrt{2}} \right) \]

Line Losses (P_loss):

Watt

Resistance Underground AC (R):

Ohm

Maximum Voltage Underground AC (V_m):

Volt

Phase Difference (Φ):

Radian

Power Transmitted (P):

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1. What is Power Transmitted Using Line Losses?

Power Transmitted Using Line Losses calculates the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work, taking into account the losses that occur in an Underground AC line.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \sqrt{\frac{P_{loss}}{2 \times R}} \times \left( \frac{V_m \times \cos(\Phi)}{\sqrt{2}} \right) \]

Where:

\( P \) — Power Transmitted (Watt)
\( P_{loss} \) — Line Losses (Watt)
\( R \) — Resistance Underground AC (Ohm)
\( V_m \) — Maximum Voltage Underground AC (Volt)
\( \Phi \) — Phase Difference (Radian)

Explanation: The formula calculates the power transmitted by considering line losses, resistance, maximum voltage, and phase difference in a 1-Phase 2-Wire Mid-Point Earthed system.

3. Importance of Power Transmission Calculation

Details: Accurate power transmission calculation is crucial for designing efficient electrical systems, minimizing energy losses, and ensuring proper power delivery to end users.

4. Using the Calculator

Tips: Enter line losses in Watt, resistance in Ohm, maximum voltage in Volt, and phase difference in Radian. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are line losses in power transmission?
A: Line losses refer to the energy lost as heat in the transmission lines due to the resistance of the conductors.

Q2: Why is phase difference important in power calculation?
A: Phase difference affects the power factor, which determines the efficiency of power transmission in AC systems.

Q3: What is the significance of maximum voltage in this calculation?
A: Maximum voltage represents the peak voltage value in the AC system, which is crucial for determining the power capacity.

Q4: How does resistance affect power transmission?
A: Higher resistance leads to greater line losses, reducing the efficiency of power transmission.

Q5: Can this calculator be used for other types of power systems?
A: This specific formula is designed for 1-Phase 2-Wire Mid-Point Earthed systems. Other systems may require different formulas.