A Reachability-Based Method for Large-Signal Behavior Verification of DC-DC Converters

A method for large-signal behavior verification of power electronics dc-dc converters subject to uncertain variations in operating conditions is proposed. This method relies on the computation of the reach set, i.e., the set of all possible trajectories that arise from different initial conditions, unknown-but-bounded inputs, and inherent switching. Large-signal behavior verification is accomplished by checking that the reach set remains within the region of state space defined by performance requirements, e.g., output voltage tolerance specifications, component voltage and current limits. Algorithms to solve the reachability problem for power electronics converters operating under both open- and closed-loop control are provided along with simulations illustrating the proposed method.