复合自适应高阶控制屏障函数用于低惯性小岛屿发展中国家微电网中的频率-RoCoF联合安全
Composite Adaptive Higher-Order Control Barrier Functions for Joint Frequency-RoCoF Safety in Low-Inertia SIDS Microgrids
- Engineering Department M&E Partners (Barbados) Limited（M&E Partners（巴巴多斯）有限公司工程部）
- Department of Electrical and Computer Engineering The University of the West Indies（西印度大学电气与计算机工程系）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
针对低惯量SIDS微电网，提出CA-HOCBF方法，联合强制频率与RoCoF硬约束，在参数不确定下保证安全，仿真验证消除违规并提升性能。
AI中文摘要：
小岛屿发展中国家（SIDS）在高可再生能源渗透率下面临同时发生的频率最低点和频率变化率（RoCoF）违规问题。本文提出了一种复合自适应高阶控制屏障函数（CA-HOCBF），用于电池储能系统（BESS）耦合的虚拟同步发电机，在参数不确定性下，将IEEE 1547频率（±0.8 Hz）和ENTSO-E RoCoF（±1 Hz/s）限制作为硬安全约束联合强制执行。该方法统一了三种工具：（i）双屏障架构，包括用于频率的零化CBF和带有鲁棒惯性下限回退的代数RoCoF约束；（ii）复合能量函数，将对数安全屏障与二次参数和扰动误差项耦合，驱动安全加权自适应；（iii）集成到屏障动力学中的扰动观测器。我们证明了在BESS容量条件下，闭式QP始终可行，并且在明确陈述的假设下，复合能量沿轨迹保持有限，使得联合安全集在不需要参数收敛的情况下前向不变。在10 MW加勒比微电网（H=2 s，70%可再生能源）上的仿真表明，CA-HOCBF在复合扰动下消除了所有频率和RoCoF违规，实现了0.001 Hz的稳态误差和0.50 Hz/s的RoCoF，而固定增益VSG遭受0.62 Hz偏移和2.25 Hz/s的RoCoF违规。
英文摘要：
Small Island Developing States (SIDS) face simultaneous frequency nadir and rate-of-change-of-frequency (RoCoF) violations under high renewable penetration. This paper proposes a \emph{Composite Adaptive Higher-Order Control Barrier Function} (CA-HOCBF) for BESS-coupled virtual synchronous generators that jointly enforces IEEE~1547 frequency ($\pm0.8$\,Hz) and ENTSO-E RoCoF ($\pm1$\,Hz/s) limits as hard safety constraints under parametric uncertainty. The method unifies three tools: (i)~a dual barrier architecture with a zeroing CBF for frequency and an algebraic RoCoF constraint with a robust inertia-floor fallback; (ii)~a composite energy function coupling logarithmic safety barriers with quadratic parameter and disturbance error terms, which drives safety-weighted adaptation; and (iii)~a disturbance observer integrated into the barrier dynamics. We prove that the closed-form QP is always feasible under a BESS capacity condition and, under explicitly stated assumptions, that the composite energy remains finite along trajectories, rendering the joint safe set forward invariant \emph{without requiring parameter convergence}. Simulation on a 10\,MW Caribbean microgrid ($H=2$\,s, 70\% renewables) shows the CA-HOCBF eliminates all frequency and RoCoF violations under a compound disturbance, achieving steady-state error of 0.001\,Hz and RoCoF of 0.50\,Hz/s, where fixed-gain VSGs suffer a 0.62\,Hz offset with 2.25\,Hz/s RoCoF violations.
