Average Voltage Of DC In Single Phase Full Wave Controlled Rectifier With R Load Of FWD Calculator

Formula Used:

\[ V_{dc(full)} = \frac{V_{i(max)}}{\pi} \times (1 + \cos(\alpha_d)) \]

Average DC Voltage in Full Wave (V_dc(full)):

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1. What is the Average DC Voltage in Full Wave Rectifier?

The Average DC Voltage in a Single Phase Full Wave Controlled Rectifier with R Load and Free Wheeling Diode (FWD) represents the DC voltage applied to the load. This value is always less than the peak amplitude of the AC input voltage and depends on the trigger angle of the thyristor.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{dc(full)} = \frac{V_{i(max)}}{\pi} \times (1 + \cos(\alpha_d)) \]

Where:

\( V_{dc(full)} \) — Average DC Voltage in Full Wave (V)
\( V_{i(max)} \) — Peak Input Voltage (V)
\( \alpha_d \) — Trigger Angle in Degree (°)
\( \pi \) — Archimedes' constant (≈3.1416)
\( \cos \) — Cosine trigonometric function

Explanation: The formula calculates the average DC output voltage based on the peak input voltage and the trigger angle of the thyristor. The cosine function accounts for the phase control of the rectifier.

3. Importance of Average DC Voltage Calculation

Details: Accurate calculation of average DC voltage is crucial for designing power electronic circuits, determining appropriate load specifications, and ensuring proper operation of controlled rectifier systems in various applications.

4. Using the Calculator

Tips: Enter peak input voltage in volts and trigger angle in degrees (0-180°). All values must be valid (voltage > 0, angle between 0-180°).

5. Frequently Asked Questions (FAQ)

Q1: What is the range of trigger angle in this calculation?
A: The trigger angle can range from 0° to 180° in a full-wave controlled rectifier.

Q2: How does the trigger angle affect the output voltage?
A: As the trigger angle increases, the output voltage decreases. At 0°, you get maximum output, and at 180°, the output is minimum.

Q3: What is the purpose of the free wheeling diode (FWD)?
A: The FWD provides a path for the inductive load current when the thyristors are not conducting, preventing voltage spikes and improving waveform quality.

Q4: Can this formula be used for inductive loads?
A: This specific formula is for resistive loads with a free wheeling diode. Different formulas apply for purely inductive loads or loads without FWD.

Q5: What are typical applications of controlled rectifiers?
A: Controlled rectifiers are used in DC motor speed control, battery charging systems, power supplies, and various industrial applications where variable DC voltage is required.