IEICE Electronics Express
Online ISSN : 1349-2543
ISSN-L : 1349-2543
Stability of adiabatic circuit using asymmetric 1D-capacitor array between the power supply and ground
Shunji Nakata
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2007 Volume 4 Issue 5 Pages 165-171


The stability of a new adiabatic stepwise charging circuit with an asymmetric 1D capacitor array is discussed. SPICE simulation shows that this circuit, like the one with a symmetric array, is stable. For the analytical discussion, we derive a matrix that connects charge and voltage in the circuit with the asymmetric 1D-capacitor array and show that the matrix is the positive-definite symmetric one. Using matrix theory, it is proved that the eigen value of the matrix connecting the initial voltage deviation from the step value with that after the charge-recycling process is smaller than 1. Therefore, the voltage deviation becomes zero after many charge-recycling processes.

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© 2007 by The Institute of Electronics, Information and Communication Engineers
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