1 April 2014 Instability caused by parasitic resistances in piezoelectric shunt damping system with negative capacitor
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Abstract
This paper studies the stability problem for a piezoelectric shunt damping system with a simple negative capacitor circuit. A key issue is to consider perturbations of parasitic series and parallel-leakage resistances in a piezoelectric element. Then, it is a bit surprising that the perturbed system becomes unstable, in particular, due to the effect of the parasitic leakage resistance. This instability phenomenon is analytically proved based on the Routh-Hurwitz stability criterion and is also demonstrated by numerical simulations. This paper then illustrates robustification of a negative capacitor circuit by inserting a negative resistance in parallel with the negative capacitor in the simple negative capacitor circuit. This robustification is also demonstrated by a numerical simulation.
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Kento Okumura, Kento Okumura, Kentaro Takagi, Kentaro Takagi, Tsuyoshi Inoue, Tsuyoshi Inoue, Ichiro Jikuya, Ichiro Jikuya, } "Instability caused by parasitic resistances in piezoelectric shunt damping system with negative capacitor", Proc. SPIE 9057, Active and Passive Smart Structures and Integrated Systems 2014, 905738 (1 April 2014); doi: 10.1117/12.2046192; https://doi.org/10.1117/12.2046192
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