College

What are the equations for the following converters?

1. Buck Converter
- Average Diode Current
- Peak Diode Current
- Input Current (Average and Peak)

2. Boost Converter
- Average Diode Current
- Peak Diode Current
- Input Current (Average and Peak)

3. Buck-Boost Converter
- Average Diode Current
- Peak Diode Current
- Input Current (Average and Peak)

Answer :

Final answer:

The equation for a buck converter is V2 = D × V1, and for a boost converter, it is V2 = (1/(1 - D)) × V1. The equation for a buck-boost converter is V2 = -(D/(1 - D)) × V1. The average diodes for a buck and boost converter are 0.5 and 1, respectively. The peak diodes for a buck and boost converter are 1 and 2, respectively. The input currents for these converters are determined by the equations provided in the response.

Explanation:

The equation for a buck converter is given by V2 = D × V1, where V2 is the output voltage, V1 is the input voltage, and D is the duty cycle. The equation for a boost converter is given by V2 = (1/(1 - D)) × V1. And the equation for a buck-boost converter is given by V2 = -(D/(1 - D)) × V1.

The average diodes for a buck converter and a boost converter are 0.5 and 1, respectively. The peak diodes for a buck converter and a boost converter are 1 and 2, respectively.

The input current for the buck converter is given by Iin, buck = Iout, avg / D, where Iin, buck is the input current, Iout, avg is the average output current, and D is the duty cycle. The input current for the boost converter is given by Iin, boost = Iout, avg × (1 - D) / D. The input current for the buck-boost converter is given by Iin, buck-boost = -Iout, avg × (1 - D) / D.