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Passivity and passivation of interconnected time-delay models of reheat power systems

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  • Magdi S. Mahmoud
  • Abdulla Ismail

Abstract

This paper investigates the problems of delay-dependent passivity and passivation of a class of linear interconnected time-delay systems with particular emphasis on multiarea reheat power systems. This class contains state delay in the dynamics and observation at the subsystem (local) level. A new state transformation is developed to exhibit the delay dependence in the system dynamics and a less conservative passivity-bounding inequality is incorporated. Through the analytical development, it is established that the passivity condition can be cast in a linear matrix inequality (LMI) format at the subsystem level thereby facilitating decentralized passivity analysis. For state-feedback passivation, it is proven that it is indifferent to use instantaneous or delayed decentralized state feedback. The case of dynamic output-feedback passivation is also treated. The analytical developments are simulated to a typical multiarea power system and the ensuing results show satisfactory performance.

Suggested Citation

  • Magdi S. Mahmoud & Abdulla Ismail, 2006. "Passivity and passivation of interconnected time-delay models of reheat power systems," Mathematical Problems in Engineering, Hindawi, vol. 2006, pages 1-21, June.
    • Handle: RePEc:hin:jnlmpe:090416
    DOI: 10.1155/MPE/2006/90416
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