2007 Volume 4 Issue 1 Pages 9-14
The stability of a new adiabatic stepwise charging circuit is discussed. Tank capacitors are connected in series between the power supply and ground. This circuit features immediate operation using a stepwise waveform, even if the tank-capacitor value is considerably larger than the load capacitance. This immediate operation is possible because stepwise voltage is formed immediately due to the voltage division by series capacitances. For the analytical discussion, we derive a voltage equation that connects the initial state and the final state after the charge-recycling process. It is proved that the eigen value of the matrix is smaller than 1. Therefore, a step waveform is spontaneously generated after many charge-recycling processes.