A novel closed-loop switched-inductor switched-capacitor converter (SISCC) is proposed by using the pulse-width-modulation (PWM) compensation for the step-up DC-DC conversion/regulation, and together by combining the adaptive-stage-number (ASN), control for the higher switch utilization and wider supply voltage range. The power part of SISCC is composed of two cascaded sub-circuits, including (i) a serialparallel switched-capacitor circuit with n c pumping capacitors and (ii) a switched-inductor booster with m c resonant capacitors, so as to obtain the high step-up gain of (n c + 1) × m c /(1 À D) at most, where D is the duty cycle of PWM adopted to enhance output regulation as well as robustness to source/loading variation. Besides, the ASN control is presented with adapting the stage number n (n = 0, 1, 2, …, n c ) of pumping capacitors to obtain a flexible gain of (n + 1) × m c /(1 À D), and further in order to make the SISCC operating at a properly small duty cycle for improving switch utilization and/or supply voltage range. Some theoretical analysis and control design include formulation, steady-state analysis, ASN-based conversion ratio, efficiency, output ripple, stability, inductance and capacitance selection, and control design. Finally, the performance of this scheme is verified experimentally on an ASN-based SISCC prototype, and all results are illustrated to show the efficacy of this scheme.
R L; (8) where k = V d /V S is the ratio of V d to V S . When V S = 5V and V d = 0.2V, the ratio is k = V d /V S = 0.04. For example, k = 0.04, x = 0.2, and R L ≫ r T , r C (R L is in Ω-level, and r T , r C is in mΩ-level, that is, R L ≫ R o ), 716