WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Examining the Intermittency in the Swing Equation
Authors: ,
Abstract: Studying the nonlinear dynamical systems and their stability is important for various engineering
applications, especially with power systems. While previous studies have examined primary,
subharmonic resonances and quasiperiodicity in nonlinear systems, the phenomena of intermittency remain
unfamiliar. This study analyses intermittency in the swing equation, which is a second-order
differential equation that characterises the dynamic behaviour in power systems. Intermittency, modelled
by sudden bursts within periodic regions, plays a vital role in the transition from stability to chaos.
It also identifies the conditions under which intermittency occurs, mainly when varying the inertia and
voltage of the machine. Numerical simulations, bifurcation diagrams, Poincar´e maps, heat maps and
Lyapunov exponents are used to determine intermittency. Findings show that intermittency happens
as a precursor to chaos, affecting the stability of the system. Results also indicate small disturbances
can induce instability, thereby providing insights into the control aspect. It contributes to a broader
understanding of the swing equation and highlights the importance of identifying the precursors to chaos
to mitigate the adverse effects.
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Pages: 209-219
DOI: 10.37394/23206.2025.24.21