论文标题

电力系统调度中区域频率稳定的条件 - 第一部分:理论

Conditions for Regional Frequency Stability in Power System Scheduling -- Part I: Theory

论文作者

Badesa, Luis, Teng, Fei, Strbac, Goran

论文摘要

本文考虑了最近在某些电力系统中观察到的不同区域频率的现象。首先,开发了描述此行为的减少阶数数学模型。然后,讨论了解决模型的技术,表明任何给定区域中的折叠后频率演变等于惯性中心的频率演变以及某些区域间振荡。这一发现导致了保证电力系统所有区域频率稳定性的条件,这是使用混合分析数字方法进行的推论,该方法将数学分析与模拟样本的回归方法相结合。所提出的稳定性条件是线性不平等,可以在任何优化常规中实现,允许所有现有辅助服务的合作频率支持以提供频率支持:惯性,多速频率响应,负载阻尼和优化的最大功率输入。这是第一个报道的具有明确条件的数学框架,可在具有区域间振荡频率的功率系统中保持频率稳定性。

This paper considers the phenomenon of distinct regional frequencies recently observed in some power systems. First, a reduced-order mathematical model describing this behaviour is developed. Then, techniques to solve the model are discussed, demonstrating that the post-fault frequency evolution in any given region is equal to the frequency evolution of the Centre Of Inertia plus certain inter-area oscillations. This finding leads to the deduction of conditions for guaranteeing frequency stability in all regions of a power system, a deduction performed using a mixed analytical-numerical approach that combines mathematical analysis with regression methods on simulation samples. The proposed stability conditions are linear inequalities that can be implemented in any optimisation routine allowing the co-optimisation of all existing ancillary services for frequency support: inertia, multi-speed frequency response, load damping and an optimised largest power infeed. This is the first reported mathematical framework with explicit conditions to maintain frequency stability in a power system exhibiting inter-area oscillations in frequency.

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