非线性持续振荡的降阶模型表征

中文摘要 AI 辅助

涉及逆变器资源的非线性持续振荡可能发生在设备与网络相互作用在不稳定平衡点周围产生吸引性极限环时。此时，阻尼控制器必须描述两个不变集之间区域内的非线性动力学，而局部平衡点的线性化可能不够充分。本文首先在连接平衡点与极限环的二维不变流形上建立受控相位-等时模型。该曲面上的动力学用相位和等时坐标表示，而物理状态和控制输入通过非线性重构函数和响应函数与这些坐标相关联。所需函数由连接轨迹和周期轨道数据计算得出。随后设计了一种控制策略，在限制相位失真的同时提供额外阻尼。在两区域系统和IEEE 39节点系统上的案例研究表明，在相同条件下，所提方法比对比的平衡点线性化设计能更有效地抑制振荡。

英文摘要

Nonlinear sustained oscillations involving inverter-based resources can happen when device and network interactions produce an attracting limit cycle around an unstable equilibrium. A damping controller must then describe nonlinear dynamics over the region between the two invariant sets, where a local equilibrium linearization can be insufficient. In this paper, a controlled phase--isostable model is first developed on a two-dimensional invariant manifold connecting the equilibrium and the limit cycle. Dynamics on this surface are represented by phase and isostable coordinates, while physical states and control inputs are related to these coordinates through nonlinear reconstruction and response functions. The required functions are computed from connecting trajectories and periodic-orbit data. A control strategy is then designed to provide extra damping while limiting phase distortion. Case studies on a two-area system and an IEEE 39-bus system demonstrate more effective oscillation damping than the compared equilibrium-linearized designs under the same conditions.

发表机构

• South Dakota State University（南达科他州立大学）
• University of Tennessee, Knoxville（田纳西大学诺克斯维尔分校）

机构由 AI 辅助整理，请以论文原文为准。