Estimation of the Region of Attraction of Polynomial Swing Equation Using Sum of Squares Theory
Jing Li,
Hao Wu,
Xianwen Zhan
et al.
Abstract:Estimation of the region of attraction of the power system using sum of squares (SOS) programming theory is investigated in this paper. Firstly, the Taylor expansion formula is applied to explore the inherent polynomial structure of the swing equation. The single machine projection equation for a multi-machine system is proposed based on the amplitude characteristic of the rotor angle response in decoupled space. Secondly, the theory of SOS programming originating from the polynomial system is derived, and the… Show more
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