Energy dissipation decrease during adiabatic charging of a capacitor by changing the duty ratio

Adiabatic charging of a capacitor with a step down converter by changing the duty ratio is considered. First, for a profound understanding of the circuit, the general analytical solution of step down converter is considered. It is confirmed that the system can be resolved analytically and that the equilibrium state of current and voltage are consistent with SPICE simulation. Next, adiabatic charging by changing the duty ratio is investigated. From SPICE simulation, it is confirmed that energy dissipation is reduced to one-fourth when four-step charging is used. By increasing the step number, energy dissipation decreases to zero and dissipationless operation is achieved. Adiabatic charging of a capacitor with a step down converter by changing the duty ratio is considered. First, for a profound understanding of the circuit, the general analytical solution of step down converter is considered. It is confirmed that the system can be resolved analytically and that the equilibrium state of current and voltage are consistent with SPICE simulation. Next, adiabatic charging by changing the duty ratio is investigated. From SPICE simulation, it is confirmed that energy dissipation is reduced to one-fourth when four-step charging is used. By increasing the step number, energy dissipation decreases to zero and dissipationless operation is achieved.