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Transmitted Voltage (Line SC) Calculator

Formula Used:

\[ V_t = 2 \times V_i \]

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1. What is Transmitted Voltage (Line SC)?

Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line. In the case of a short circuit (SC) line, the transmitted voltage is calculated as twice the incident voltage.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_t = 2 \times V_i \]

Where:

Explanation: The incident voltage on the transmission line is equal to half the generator voltage. For a short circuit line, the transmitted voltage becomes twice the incident voltage.

3. Importance of Transmitted Voltage Calculation

Details: Accurate calculation of transmitted voltage is crucial for analyzing wave propagation in transmission lines, designing proper protection systems, and ensuring stable power system operation.

4. Using the Calculator

Tips: Enter the incident voltage value in volts. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is transmitted voltage twice the incident voltage in short circuit conditions?
A: In short circuit conditions, the reflection coefficient becomes -1, causing the transmitted voltage to be twice the incident voltage due to wave superposition.

Q2: What are typical values for incident voltage?
A: Incident voltage values vary depending on the system voltage level, typically ranging from a few volts to several kilovolts in power transmission systems.

Q3: When should this calculation be used?
A: This calculation is particularly important in transmission line analysis, fault studies, and protection system design for short circuit conditions.

Q4: Are there limitations to this formula?
A: This formula applies specifically to short circuit conditions on lossless transmission lines. Different formulas apply for open circuit or matched load conditions.

Q5: How does this relate to actual power system operation?
A: Understanding voltage wave behavior under different line conditions is essential for proper relay setting, insulation coordination, and system stability analysis.

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