A Comprehensive Analysis into the Effects of Quasiperiodicity on the Swing Equation

Abstract

This research studies the case of quasiperiodicity occurring within the swing equation, a fundamental model that characterises the behaviour of rotor of the machine in synchronous generators in electrical systems. Quasiperiodicity is explained by intricate patterns and understanding the stability of power systems. Bifurcation analysis, frequency domain techniques and numerical simulations are employed to study the swing equation in detail. The objective of this study is to provide a comprehensive understanding of the dynamical behaviour of the equation for the case of quasiperiodicity, using both analytical and numerical methods, when changes are made to the variables of the system. The results show the comparison of primary resonance and quasiperiodicity in the swing equation and analyses the rate at which stability is lost. This will help with the system losing its stability and identifies precursors to chaos which will prevent unavoidable circumstances in the real world.