This paper focuses on the Partitioned-Solution Approach (PSA) employed for the Time-Domain Simulation (TDS) of dynamic power system models. In PSA, differential equations are solved at each step of the TDS for state variables, whereas algebraic equations are solved separately. The goal of this paper is to propose a novel, matrix-pencil based technique to study numerical stability and accuracy of PSA in a unified way. The proposed technique quantifies the numerical deformation that PSA-based methods introduce to the dynamics of the power system model, and allows estimating useful upper time step bounds that achieve prescribed simulation accuracy criteria. The family of Predictor-Corrector (PC) methods, which is commonly applied in practical implementations of PSA, is utilized to illustrate the proposed technique. Simulations are carried out on the IEEE 39-bus system, as well as on a 1479-bus model of the All-Island Irish Transmission System (AIITS).

翻译：本文聚焦于动态电力系统模型时域仿真中采用的分区求解方法。在分区求解中，状态变量的微分方程在每个时域仿真步长内求解，而代数方程则单独求解。本文旨在提出一种基于矩阵束的新技术，以统一研究分区求解方法的数值稳定性与精度。所提技术量化了分区求解方法引入电力系统模型动力学的数值变形，并能估计满足预设仿真精度标准的有用时间步长上限。本文利用分区求解实际应用中常见的预测-校正方法族来阐述所提技术。仿真在IEEE 39节点系统以及全爱尔兰输电网1479节点模型上实施。