With increasing installation of wind and solar generation, conventional synchronous generators in power systems are gradually displaced resulting in a significant reduction in system inertia. Maintaining system frequency and rate-of-change-of-frequency (RoCoF) within acceptable ranges becomes more critical for the stability of a power system. This paper first discusses the impact of inter-area oscillations on the system rate-of-change-of-frequency (RoCoF) security; then, the limitations on locational RoCoF accounting for $\mathrm{G} - {1}$ contingency stability are derived. To capture highest locational RoCoF during the oscillation, multiple measurement windows are introduced. By enforcing these frequency related constraints, a location based RoCoF constrained security constrained unit commitment (LRC-SCUC) model is proposed. Furthermore, an effective piecewise linearization (PWL) technique is employed to formulate a RoCoF linearization problem and linearize the nonlinear function representing the location based RoCoF constraints in SCUC. Case studies are carried on IEEE 24-bus system to demonstrate the effectiveness of proposed LRC-SCUC model. The results also show that deploying virtual inertia techniques not only reduces the total cost, but also improves the system market efficiency.

中文翻译：

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矩阵和张量分解的再现性：关注模型匹配、可解释性和唯一性


随着风能和太阳能发电安装量的增加，电力系统中传统的同步发电机逐渐被取代，导致系统惯量显着降低。将系统频率和频率变化率 (RoCoF) 保持在可接受的范围内对于电力系统的稳定性变得更加重要。本文首先讨论了区域间振荡对系统频率变化率（RoCoF）安全性的影响；然后，推导出考虑 $\mathrm{G} - {1}$ 意外稳定性的位置 RoCoF 的限制。为了在振荡期间捕获最高位置 RoCoF，引入了多个测量窗口。通过执行这些与频率相关的约束，提出了一种基于位置的 RoCoF 约束安全约束单元承诺 (LRC-SCUC) 模型。此外，采用有效的分段线性化（PWL）技术来制定 RoCoF 线性化问题，并对表示 SCUC 中基于位置的 RoCoF 约束的非线性函数进行线性化。在 IEEE 24 总线系统上进行了案例研究，证明了所提出的 LRC-SCUC 模型的有效性。结果还表明，部署虚拟惯性技术不仅降低了总成本，而且提高了系统市场效率。