Single-Switching Reachable Operation Points in a DC-DC Buck Converter: An Approximation from Time Optimal Control

Area of Science:

• Electrical Engineering
• Control Systems
• Power Electronics

Background:

• DC-DC buck converters are essential for voltage regulation.
• Optimal control strategies are crucial for efficient power conversion.
• Understanding converter dynamics in the underdamped regime is key.

Purpose of the Study:

• To derive analytic expressions for state-space regions in time-optimal control of DC-DC buck converters.
• To establish load variation limits for time-optimal single switching.
• To evaluate control performance under dynamic conditions.

Main Methods:

• Derivation of analytic expressions for admissible state-space regions.
• Application of general results to determine load variation bounds.
• Numerical simulations to validate control performance.

Main Results:

• Identified analytic expressions for reachable state-space regions.
• Established minimum and maximum load variations for time-optimal single switching.
• Demonstrated effective control performance via simulations.

Conclusions:

• The derived analytic expressions enable precise control of DC-DC buck converters.
• The study provides design guidelines for load variations under optimal control.
• Simulations confirm the proposed control strategy's robustness.