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.
Highlights
Power system voltage stability is the ability of the power system to maintain stable voltages within the rated value for all power system buses at all operating conditions, even after undergoing some disturbance effects
Motivated by the above discussion, this paper presented the following aspects: suppressing chaotic oscillation in a six-dimensional power system
The bicoherence is significantly nonzero, and nonconstant, indicating a strong nonlinear relationship between the power system states, and the broadened power spectrum are both signatures of the chaos phenomenon
Summary
Power system voltage stability is the ability of the power system to maintain stable voltages within the rated value for all power system buses at all operating conditions, even after undergoing some disturbance effects. Disturbances in the power system, may force the power system to suffer from voltage instability, and causes an uncontrollable progressive change in the voltages of the system buses This leads to an unacceptable voltage service quality in different parts of the power network and possibly leads to a voltage collapse or a voltage avalanche [1]. Unpredictability, high sensitivity to initial conditions yielding completely different responses [3], are the main attributes of chaotic systems that led to severe blackouts and power system failures [4]. It can be induced by parameter variations [5], time delay [6] and external disturbances [7]. Control of chaotic systems in engineering and science is currently an interesting research area in the modern control literatures [10]
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