Modeling and optimal design of coupling inductors in asymmetrically modulated switched-capacitor converters
摘要
In the domain of non-isolated DC-DC converters, switched-capacitor (SC) topologies are extensively utilized due to their superior energy density, reduced switching losses, and high voltage conversion ratios. However, inductors, constrained by their inherently low energy density, emerge as critical bottlenecks in power-dense converter optimization. This paper conducts a comprehensive analysis of asymmetrically modulated switched-capacitor converters, and establishes a parametric model that quantifies the coupled inductor volume (integrating ferromagnetic core dimensions and copper winding geometries) as a function of the coupling coefficients and duty cycle. The model systematically derives analytical expressions for volume minimization across varying duty cycles, identifying optimal coupling coefficients for each operational scenario. For a 0.6 duty cycle case study, a design methodology for coupled inductors is proposed. Finite-element electromagnetic simulations validate a 30% volume reduction compared to uncoupled implementations at near-optimal coupling (K = 0.7), while demonstrating a 4% volume penalty at an excessive coupling (K = 0.88). The preconceived notion that increasing the coupling coefficient is always positive for volume is clearly refuted.