A new energy-dissipating hybrid control framework is proposed in this paper. The proposed framework incorporates a plant with continuous dynamics connected in parallel with a hybrid controller that combines logical switches with continuous dynamics. The overall closed-loop system can be described as a hybrid impulsive dynamical system in which the redundant energy preserved in the plant can be damped quickly and continuously due to the enhanced dissipativity of the closed-loop system. The proposed framework is applied to design decentralized nonlinear excitation controllers for synchronous generators in a multimachine system to improve its transient stability, in which the synchronous generators are modeled as port-controlled Hamiltonian systems. Simulation studies on the IEEE 10-generator, 39-bus New England power system are carried out to verify the effectiveness of the proposed energy-dissipating hybrid excitation control to improve the transient stability and dissipativity of the interconnected power system under various fault conditions.
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Zhang et al. (2018) studied this question.
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