Power System Rotor Angle Stability Enhancement Using Lyapunov-Based Trajectory Tracking Controller and Model Reference Adaptive Control

Tswa-wen Pierre-Patrick Banga-Banga (), Yohan Darcy Mfoumboulou () and Carl Kriger ()
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Tswa-wen Pierre-Patrick Banga-Banga: Centre for Substation Automation and Energy Management Systems (CSAEMS), Department of Electrical, Electronics and Computer Engineering, Cape Peninsula University of Technology, Cape Town 7500, South Africa
Yohan Darcy Mfoumboulou: Centre for Substation Automation and Energy Management Systems (CSAEMS), Department of Electrical, Electronics and Computer Engineering, Cape Peninsula University of Technology, Cape Town 7500, South Africa
Carl Kriger: Centre for Substation Automation and Energy Management Systems (CSAEMS), Department of Electrical, Electronics and Computer Engineering, Cape Peninsula University of Technology, Cape Town 7500, South Africa

Energies, 2022, vol. 15, issue 22, 1-16

Abstract: It is vital that the synchronous generator rotor angle be kept stable to avoid disastrous consequences such as the loss of synchronism amongst generators within a power system network. Once it is unstable, the time that is taken to remedy this is advised to be 5–10 s for smaller power systems and 15–20 s for larger ones. The instability that is caused by poorly damped Low-Frequency Electromechanical Oscillations (LFEOs) may result in inter-area oscillations, where a group of generators in one area oscillates against those in another area, thus affecting the stability of the entire network. This paper explores two control architectures, namely, a nonlinear Lyapunov-based trajectory tracking controller and a Model Reference Adaptive Controller (MRAC) as options to enhance the stability of the rotor angle. The performance of each of these controllers was assessed under steady-state conditions, and then, the synchronous generator was subjected to Gaussian noise and an impulse. While the first one is aimed at emulating small variations in the system loads that are responsible for inter-area oscillations, the latter one is an attempt to explore their performance for transient stability.

Keywords: Lyapunov theory; MRAC; oscillations damping; inter-area oscillations; gaussian noise; SMIB; MATLAB/SIMULINK; trajectory tracking controller; rotor angle stability enhancement (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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