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Dynamics and complexity analysis of the conformable fractional‐order two‐machine interconnected power system
Author(s) -
Yan Bo,
He Shaobo
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5937
Subject(s) - attractor , adomian decomposition method , conformable matrix , mathematics , bifurcation diagram , lyapunov exponent , chaotic , bifurcation , approximate entropy , entropy (arrow of time) , instability , control theory (sociology) , mathematical analysis , computer science , time series , artificial intelligence , nonlinear system , differential equation , statistics , physics , control (management) , quantum mechanics , mechanics
In this paper, based on the Adomian decomposition method (ADM) semi analytical solution algorithm, dynamics and complexity of the conformable fractional‐order two‐machine interconnected power system are investigated numerically by the bifurcation diagram, Lyapunov exponents (LEs), chaos diagram, and modified multiscale sample entropy (MM‐SampEn) algorithm separately. The results show that the system has rich dynamics. The angular instability is found and its frequency of occurrence can be judged by the number of scrolls of the chaotic attractor. The coexisting attractors are observed by changing the initial value and the reason is discussed. The high‐complexity region is determined, and MM‐SampEn complexity can indicate different coexisting attractors of the system. The research results in this paper lay a theoretical basis for the application of the conformable fractional‐order two‐machine interconnected power system.