LAUSR

Abstract This paper reports on fast-slow dynamical analysis of a typical complex engineering system coupling with hydraulic-mechanical-electric power. Here, we find a high-dimensional hydropower generation system that fast-slow effect manifesting as spiking states and quiescent states exists by means of multi-time-scale structure mining. In our experimental analysis, we extract critical fast-slow variant parameters used to further study the behaviors of the presented system. Our results reveal that the change of fast-slow variant parameters has remarkable impact on the fluctuation interval of spiking states and quiescent states, which provides guidance for system parameter setting; meanwhile, we experimentally demonstrate that multi-time-scale physical phenomena reflect the stability and operational feature of the complex hydropower generation system. This work, combined with multi-scale dynamic analysis and a snapshot of macro-significance of engineering, enables us to develop a novel framework for investigating instability of complex engineering systems.