GHM: a generalized Hamiltonian method for passivity test of impedance/admittance descriptor systems

  • Authors:
  • Zheng Zhang;Chi-Un Lei;Ngai Wong

  • Affiliations:
  • The University of Hong Kong, Hong Kong;The University of Hong Kong, Hong Kong;The University of Hong Kong, Hong Kong

  • Venue:
  • Proceedings of the 2009 International Conference on Computer-Aided Design
  • Year:
  • 2009

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Abstract

A generalized Hamiltonian method (GHM) is proposed for passivity test of descriptor systems (DSs) which describe impedance or admittance input-output responses. GHM can test passivity of DSs with any system index without minimal realization. This frequency-independent method can avoid the time-consuming system decomposition as required in many existing DS passivity test approaches. Furthermore, GHM can test systems with singular D + DT where traditional Hamiltonian method fails, and enjoys a more accurate passivity violation identification compared to frequency sweeping techniques. Numerical results have verified the effectiveness of GHM. The proposed method constitutes a versatile tool to speed up passivity check and enforcement of DSs and subsequently ensures globally stable simulations of electrical circuits and components.