电网形成频率整形控制的最优分配

中文摘要 AI 辅助

针对高可再生能源渗透率的电力系统，已提出多种基于逆变器的控制策略以提升频率安全。其中，电网形成频率整形控制尤为前景广阔，因其能够将事故后的聚合系统频率动态整形为一阶动态，并具有预设的频率变化率（RoCoF）和稳态频率偏差。此外，整形后的聚合动态取决于所有逆变器传递函数的调和和，而非其分布。鉴于此，本文探讨如何分配整形控制资源，以最小化实现理想相干动态所需的暂态控制努力。我们将其表述为一个约束优化问题，并解决两个主要难点。首先，通过系统变换，使平方$\mathcal{H}_2$范数成为阶跃功率不平衡下暂态控制成本的合理量化指标。其次，将Nadir消除的$s$域约束简化为易于在优化中实现的标准约束。由此产生的非凸优化问题可通过现有的逐次凸化方法求解。所提分配方法的有效性已在修改后的冰岛电力网络测试案例上得到验证。

英文摘要

Various inverter-based control strategies have been proposed to improve frequency security for power systems with high renewable penetration. Among them, the grid-forming frequency shaping control is particularly promising due to its ability to shape the post-contingency aggregate system frequency dynamics into first-order with prescribed rate of change of frequency (RoCoF) and steady-state frequency deviation. Moreover, the shaped aggregate dynamics depends on the harmonic sum of all inverter transfer functions rather than on their distribution. In light of this, here we explore how to allocate shaping control resources to minimize the transient control effort needed to achieve ideal coherent dynamics. We formulate it as a constrained optimization problem by tackling two main difficulties. First, we make the squared $\mathcal{H}_2$ norm legitimate quantification of transient control cost under step power imbalances through a system transformation. Second, we simplify the $s$-domain constraint for Nadir elimination into a standard constraint that is easy to implement in optimization. The resulting non-convex optimization problem can be solved by existing successive convexification method. The effectiveness of the allocation has been verified on the modified Icelandic Power Network test case.

发表机构

• The Chinese University of Hong Kong, Shenzhen（香港中文大学（深圳））
• Australian National University（澳大利亚国立大学）

机构由 AI 辅助整理，请以论文原文为准。