AI 中文总结
研究电力系统中基于采样数据优化的DER二次控制的大信号稳定性，通过结合多种动力学与测量等构建闭环系统，超越局部线性化分析，给出相关可计算界限，刻画稳态点，建立稳定性，为该控制提供数学基础。
AI 中文摘要
本文针对电力系统中基于采样数据优化的分布式能源资源（DER）二次控制器进行大信号稳定性分析。所诱导的闭环结合了非线性逆变器潮流动力学、滤波后的有功和无功功率测量、约束优化更新以及采样时刻之间基于插值的驱动。我们研究这个循环优化非线性采样数据系统，超越局部线性化。该分析给出了电压、滤波后的无功功率和二次控制输入的可计算界限。进一步刻画了稳态工作点，并确定优化器目标和约束如何将电压调节与等单位化无功功率共享联系起来。最后，建立了频率动态相对于DER电压和控制输入的输入到状态稳定性。这些结果为基于采样数据优化的DER二次控制提供了严格的数学基础。
英文摘要
This article develops a large-signal stability analysis for a sampled-data optimization-based secondary controller for distributed energy resources (DERs) in power systems. The induced closed loop combines nonlinear inverter power-flow dynamics, filtered active and reactive power measurements, constrained optimization updates, and interpolation-based actuation between sampling instants. We study this optimization-in-the-loop nonlinear sampled-data system beyond local linearization. The analysis provides computable bounds on the voltage, filtered reactive power, and the secondary control input. We further characterize steady-state operating points and establish how the optimizer objectives and constraints connect voltage regulation with equal per-unitized reactive power sharing. Finally, input-to-state stability of the frequency dynamics is established with respect to DER voltages and control inputs. These results provide a rigorous mathematical foundation for sampled-data optimization-based secondary control of DERs.
Comments9 pages, Allerton Conference 2026
