Partial robust connective stability analysis for a class of interconnected power systems

The partial robust connective stability problem was studied for a class of interconnected power systems with unstable subsystems in the case of some interconnections were fixed in this paper. The definition of robust connective stability is presented based on uncertainty of the interconnection matrix in the systems. A sufficient condition of robust connective stability for the systems is established by making use of vector Lyapunov function approach and comparison principle. The connective stability theory is applied to a class of real interconnected power systems. In terms of this condition, it can be known that the overall power system can be partial robust connectively stable via coordinating the local feedback gain matrix of unstable subsystems and the interconnections between subsystems.