Control Strategies for Chaotic Dynamics in Power Systems
Summary
Power systems operating under high loading, extensive integration of renewables and rapid load variations can exhibit chaotic oscillations that jeopardise voltage stability and frequency regulation. Chaotic dynamics emerge from the intrinsic nonlinearities of generator excitation, network interconnections and power electronic devices. To suppress unwanted oscillations and restore orderly behaviour, researchers have developed a range of control strategies. Sliding mode controllers exploit discontinuous control actions to force system trajectories onto a designed sliding surface, guaranteeing robustness against parameter uncertainties. Fractional-order controllers extend classical integer calculus to introduce memory effects, yielding smoother transients and reduced chattering. Synergetic control frameworks shape the dynamic evolution of error variables through manifold design, offering fast convergence and inherent resilience to disturbances. Adaptive schemes adjust control gains in real time to accommodate uncertain system parameters, while dynamic surface control simplifies backstepping by filtering virtual control signals to prevent complexity explosion. Lyapunov-based methods underpin most designs, ensuring global or fixed-time convergence by constructing energy-like functions. Practical implementations often combine STATCOMs, energy storage elements or flexible AC transmission devices within the control loop to deliver voltage support and fast damping. These advances contribute to the global drive for more resilient, secure power grids capable of withstanding large disturbances without cascading failures.
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Control Strategies for Chaotic Dynamics in Power Systems publication trend
The graph below shows the total number of articles in control strategies for chaotic dynamics in power systems across all publications each year (not limited to Nature Index journals).
Technical terms
Chaotic dynamics: Irregular, sensitive dependence on initial conditions in nonlinear systems that can lead to unpredictable oscillations.
Sliding mode control: A robust control approach that drives system trajectories onto a predefined manifold via discontinuous switching actions.
Synergetic control: A methodology that designs macro-variables and manifolds to govern the cooperative evolution of system errors for fast convergence.
Fractional-order control: A control strategy using non-integer calculus operators to introduce system memory and improve transient performance.
Lyapunov exponent: A quantitative measure of the rate at which nearby trajectories diverge, used to characterise chaos and guide controller design.
References
- Adaptive Dynamic Surface Control for Generator Excitation Control System. Mathematical Problems in Engineering (2014).
- Chaos Suppressing in a Three-Buses Power System Using an Adaptive Synergetic Control Method. Electronics (2021).
- Fractional‐Order Hyperbolic Tangent Sliding Mode Control for Chaotic Oscillation in Power System. Mathematical Problems in Engineering (2021).
- Adaptive Sliding Mode Control Based on Equivalence Principle and Its Application to Chaos Control in a Seven‐Dimensional Power System. Mathematical Problems in Engineering (2020).
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