Studying the effects of quasiperiodicity in the swing equation

Bhairavi Premnath

School of Computing and Engineering

Supervisors:

Dr Anastasia Sofroniou

School of Computing and Engineering

Dr Apostolos Georgakis

School of Computing and Engineering

In this study the case of quasiperiodicity in the swing equation a fundamental model that describes the rotor behaviour of synchronous generators in electrical systems is examined. Quasiperiodicity refers to a form of motion that involves two or more frequencies that are not rational multiples of each other. As a result, these frequencies are not in harmony with each other. Understanding complicated patterns and power system stability helps to explain quasiperiodicity in detail. The swing equation is thoroughly studied using numerical methods, frequency domain plots, and bifurcation analysis. The aim of this research is to offer a thorough comprehension of the equation’s dynamic behaviour in the quasiperiodicity scenario by the application of analytical and numerical techniques, in response to modifications in the system’s variables. The findings evaluate the rate at which stability is lost and compare primary resonance and quasiperiodicity in the swing equation. This will assist in the system becoming unstable and detect signs of impending turmoil, averting inevitable events in the real world.