Transmitted Voltage using Incident Voltage (Line PL) Calculator

Formula Used:

\[ V_t = \frac{2 \times V_i}{Z_1 \times \left( \frac{1}{Z_1} + \frac{1}{Z_2} + \frac{1}{Z_3} \right)} \]

Incident Voltage (Vi):

Volt

Impedance of Primary Winding (Z1):

Ohm

Impedance of Secondary Winding (Z2):

Ohm

Impedance of Tertiary Winding (Z3):

Ohm

Transmitted Voltage (Vt):

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1. What is Transmitted Voltage?

Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line. It represents the portion of the incident voltage that successfully passes through the impedance network.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_t = \frac{2 \times V_i}{Z_1 \times \left( \frac{1}{Z_1} + \frac{1}{Z_2} + \frac{1}{Z_3} \right)} \]

Where:

\( V_t \) — Transmitted Voltage (Volt)
\( V_i \) — Incident Voltage (Volt)
\( Z_1 \) — Impedance of Primary Winding (Ohm)
\( Z_2 \) — Impedance of Secondary Winding (Ohm)
\( Z_3 \) — Impedance of Tertiary Winding (Ohm)

Explanation: This formula calculates the transmitted voltage based on the incident voltage and the impedance values of the primary, secondary, and tertiary windings in a transmission line system.

3. Importance of Transmitted Voltage Calculation

Details: Accurate calculation of transmitted voltage is crucial for power system analysis, transmission line design, and understanding voltage distribution in complex electrical networks with multiple winding impedances.

4. Using the Calculator

Tips: Enter all impedance values in Ohms and incident voltage in Volts. All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is Incident Voltage?
A: The Incident Voltage on the transmission line is equal to half the generator voltage and represents the initial voltage wave traveling toward the load.

Q2: How do impedance values affect transmitted voltage?
A: Higher impedance values generally result in higher transmitted voltage, while lower impedance values cause more voltage to be reflected rather than transmitted.

Q3: When is this formula typically used?
A: This formula is commonly used in power system analysis, transmission line studies, and electrical engineering applications involving multiple winding systems.

Q4: Are there limitations to this equation?
A: This equation assumes ideal conditions and may need adjustments for real-world factors like line losses, frequency dependencies, and non-linear effects.

Q5: What units should be used for input values?
A: All impedance values should be in Ohms and voltage values in Volts for consistent and accurate results.