Abstract The objective of this research is to design a higher order Sliding Mode Controller (SMC) for a Static Synchronous Compensator (STATCOM) and investigation of its implication on power system stability improvement. The theory of Super-Twisting–Sliding-Mode-Control (STSMC) is applied to determine the nonlinear control law of a STATCOM. The STSMC based control combines 2-sliding control and Robust Exact Differentiator (RED) which can efficiently mitigate the effect of external disturbance to the system The purpose of the application of the STSMC based control method is that it not only solves the chattering problem of classical SMC but also the derived control law is independent of system parameters. The efficacy of the design of the proposed STATCOM controller has been investigated in comparison to both the nonlinear (via exact linearization) and conventional (via approximate linearization) Linear Quadratic Regulator (LQR) based STATCOM controller. An IEEE type 14 bus multi-machine system has been taken into consideration to study the simulation results with regard to the transient stability improvement in multiple operating scenarios. It has been revealed from the simulation results that the proposed control scheme based on STSMC is more effective with respect to both the exact linearization based as well as approximately linearization based approach for the design of STATCOM controller. Furthermore, it has been abstracted that the STSMC based nonlinear STATCOM controller is competent to mitigate the dynamic instability of an electric power system even under contingency and different loading conditions.

中文翻译：

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提高电力系统稳定性的高阶滑模STATCOM控制

摘要 本研究的目的是为静态同步补偿器 (STATCOM) 设计一种高阶滑模控制器 (SMC) 并研究其对提高电力系统稳定性的影响。超扭曲滑模控制（STSMC）理论用于确定STATCOM的非线性控制规律。基于 STSMC 的控制结合了 2 滑动控制和鲁棒精确微分器 (RED)，可以有效地减轻外部扰动对系统的影响 基于 STSMC 的控制方法的应用目的是它不仅解决了经典的抖动问题SMC 以及导出的控制律与系统参数无关。与基于 STATCOM 控制器的非线性（通过精确线性化）和传统（通过近似线性化）线性二次调节器 (LQR) 相比，已经研究了所提出的 STATCOM 控制器设计的功效。考虑了IEEE 14类总线多机系统，研究了多工况下瞬态稳定性改善的仿真结果。仿真结果表明，所提出的基于 STSMC 的控制方案在基于精确线性化和基于近似线性化的 STATCOM 控制器设计方法方面更为有效。此外，