Novel Logarithmic Sliding Mode Control of Chaos in Seventh-Order Power Systems

In seventh-order power systems, chaotic oscillations can significantly compromise system stability, arising from intricate interactions among system parameters and initial conditions. This study introduces a robust chaos control strategy tailored for such high-dimensional systems. The approach begins by integrating a dynamic model of an energy storage device, specifically designed to absorb surplus active power, thereby constructing a controlled ninth-order power system with coupled dynamics. To further enhance stability and rapid response, we propose a novel logarithmic sliding mode control (LSMC) surface. This innovation incorporates natural logarithms to achieve a high-gain effect at the equilibrium points of the reduced-order sliding mode system, facilitating rapid re-stabilization of the power system. Additionally, we employ the super-twisting algorithm to address the inherent chattering issues associated with traditional sliding mode control. Theoretical analyses and simulation experiments validate the effectiveness of our proposed method, demonstrating its capability to swiftly restore system stability.