Impedance-2 Using Transmitted Coefficient of Voltage (Line PL) Calculator

Formula Used:

\[ Z_2 = \frac{2}{Z_1 \cdot \tau_v} - \frac{1}{Z_1} - \frac{1}{Z_3} \]

Impedance of Secondary Winding (Z2):

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1. What is Impedance-2 Using Transmitted Coefficient of Voltage?

This calculator determines the impedance of the secondary winding in a three-winding transformer system using the transmission coefficient of voltage. It's particularly useful in power line (PL) transmission analysis and transformer design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Z_2 = \frac{2}{Z_1 \cdot \tau_v} - \frac{1}{Z_1} - \frac{1}{Z_3} \]

Where:

\( Z_2 \) — Impedance of Secondary Winding (Ohm)
\( Z_1 \) — Impedance of Primary Winding (Ohm)
\( \tau_v \) — Transmission Coefficient of Voltage
\( Z_3 \) — Impedance of Tertiary Winding (Ohm)

Explanation: This formula calculates the secondary winding impedance based on the primary impedance, tertiary impedance, and the voltage transmission coefficient in the system.

3. Importance of Impedance Calculation

Details: Accurate impedance calculation is crucial for transformer design, power system analysis, voltage regulation, and ensuring proper power transfer efficiency in electrical networks.

4. Using the Calculator

Tips: Enter all impedance values in Ohms and the transmission coefficient as a dimensionless value. All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the transmission coefficient of voltage?
A: The transmission coefficient of voltage is defined as the ratio of the transmitted voltage to the incident voltage in a transmission line during transient conditions.

Q2: When is this calculation typically used?
A: This calculation is commonly used in power system analysis, transformer design, and transmission line studies where three-winding configurations are involved.

Q3: What are typical impedance values in power systems?
A: Impedance values vary widely depending on the transformer size and application, typically ranging from a few ohms to several hundred ohms.

Q4: Can this formula be used for single-phase and three-phase systems?
A: Yes, the formula applies to both single-phase and three-phase systems, though the interpretation of results may differ based on system configuration.

Q5: What are the limitations of this calculation?
A: This calculation assumes ideal conditions and may need adjustment for real-world factors like temperature variations, frequency dependencies, and non-linear effects.