• Aditi Datta
• Kaberi Majumdar
• Sanjoy Sarkar
• Debasish Paul

Chaos is a fundamental aspect of a nonlinear dynamical system with feedback. As Chaos is extremely sensitive to the starting circumstances. A slight modification of the initial situation results in a huge amount of divergence in chaotic trajectories. Chaos is found in complex systems such as weather, astronomy and mostly in complex electrical power networks. The swing equation is essential for modeling and analyzing the power system dynamics, including transient stability also small-signal stability. The fact that it impacts the stability after being disturbed in a power system further supports the necessity of a nonlinear examination of the swing equation. Two types of stability i.e., voltage and power angle stability are considered to be vital in the study of power systems. Power angle stability is considered a matter of concern in this work. Power angle stability can be measured by analyzing the dynamics of the swing equation. The existence of chaos in the swing equation is a fact in the power system. Chaos can drive the system power angle into instability as chaos is a fundamental aspect of a nonlinear dynamical system. It is undesirable and it can also result in a total shutdown of the system. In this work a simulation-based model for swing equation is developed in MATLAB platform. Power angle(vs time plot is generated at the scope connected at the output of the model for different fault clearing time. The presence of chaos i.e., instability in power angle is detected in the system with the help of entropy called Lyapunov Exponent. The entropy is calculated from time series data generated at the output of the Simulink based model of swing equation. An overview of a few potential uses of chaotic dynamics in power engineering is provided in this work. A review is given of recent research on chaos in electric power networks. The degree to which the observations can explored is through the analysis of time series data. Additionally, use of chaos theory in power engineering is demonstrated.

Swing equation, chaos, stability, Lyapunov Exponent

"A Comprehensive study on the Evaluation of Swing Dynamics in Power System", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.11, Issue 12, page no.e421-e432, December-2024, Available :http://www.jetir.org/papers/JETIR2412447.pdf

"A Comprehensive study on the Evaluation of Swing Dynamics in Power System", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.11, Issue 12, page no. ppe421-e432, December-2024, Available at : http://www.jetir.org/papers/JETIR2412447.pdf