Cross Regulation Limit Exploration of SIMO DC-DC Converter Using Differential Evolution Algorithm

Single-inductor multiple-output (SIMO) dc-dc converters suffer from cross regulation (CR) problem between the multiple outputs because all outputs share one common inductor. A lot of techniques have been proposed to suppress the cross regulation, but the CR limit is still uncertain. To explore the theoretical limit of CR, this paper transforms the solving for the corresponding duty cycle into a combinatorial optimization problem. Subsequently, differential evolution (DE) algorithm is utilized to solve this problem. DE algorithm searches the optimal solution through continuous evolution, which avoids directly solving this multi-dimensional problem with nonlinear constraints. Taking a single-inductor boost converter with three outputs as an example, the CR limit under different conditions is successfully explored, which can provide theoretical guidance for control system.