Chaos Suppressing in a Three-Buses Power System Using an Adaptive Synergetic Control Method

Abstract

The stability of the power system is a critical issue for the reliable and safe operation of the network. Where maintaining voltage levels constant or within the prescribed permissible limit and robustness against disturbances, while the power system is working near its stability margin due to growth of power consumption, nowadays are great challenges. Chaotic oscillation in power network may lead to system bus voltage collapse, angle divergence and possibly both phenomena simultaneously. These cases directly affect the service quality of the power system. The paper presents the problem of chaos suppressing in a three-bus power system of a six-dimensional model. The dynamics of the power system are investigated through examining the nonlinear system’s behavior analysis tools, such as power spectral density, bicoherence, Poincaré map and the Lyapunov exponents. The chaotic oscillation of the power system is suppressed through a Lyapunov-based adaptive algorithm with synergetic control theory. A nonlinear evolution constraint is used for achieving better transient responses and fast dynamics. The dynamics of the energy storage device and STATCOM compensator are employed within the control loop to restore the synchronous operation and maintain the rated voltage, respectively. Numerical simulations are conducted to verify the effectiveness and robustness of the proposed control algorithm. The stabilization of the chaotic power system dynamics and the fast recovery to the normal state are characterized by a smooth and free-of-chattering controller output.

Quenching chaos in a power system using fixed-time fractional-order sliding mode controller

“…where 𝑎 2 , 𝑏 2 are positive parameters; 𝑝 2 < 1, 𝑞 2 > 1; then based on (13) and facts in Lemma 1, the sliding surface (10) will converge to zero within fixed-time, upper bounded by:…”

“…The authors of Refs. [12,13] applied synergetic control theory to stabilize the dynamic of power systems to the equilibrium point, employing the analytical design of aggregated regulators (ADAR) method.…”

Optimal Reinforcement Learning-Based Control Algorithm for a Class of Nonlinear Macroeconomic Systems

“…Up to now, various control techniques, such as predictive control [22][23][24], sliding mode control [25][26][27][28][29][30][31][32], fuzzy control [33][34][35], adaptive control [36][37][38][39], and so on, have been proposed for nonlinear systems. Among the stated control methods for various systems, the methods that can act intelligently in unpredictable conditions have gained significant attention because of their unique properties [40,41].…”

High-Security Image Encryption Based on a Novel Simple Fractional-Order Memristive Chaotic System with a Single Unstable Equilibrium Point

“…The Lyapunov exponents are calculated to determine whether the proposed system exhibits the chaoticity phenomena; at least one positive Lyapunov exponent in the nonlinear dynamics system confirms that these systems exhibit chaos [44,45]. The Lyapunov exponents are determined versus the time (1000 s) as shown in Figure 11.…”