General Stability of Stepwise Waveform of an Adiabatic Charge Recycling Circuit With Any Circuit Topology

The stability of a stepwise waveform of an adiabatic charge recycling circuit with tank capacitors is investigated. We propose a new tank capacitor circuit with two-string capacitor arrays. We experimentally confirmed the stability of the five-step waveform from the tank capacitors. The voltage changes of tank capacitors in the experiment are consistent with the simulation. The power consumption is reduced to one-fifth due to the five-step waveform. We analyze the stability using matrix theory. The results prove that the step waveform is stable for any circuit topology. Moreover, we consider the effects of conductors fixed at a certain voltage and floating conductors and confirm the system is stable using matrix theory.