从圈空间到圈流形：盲虚假数据注入攻击的极限与可实现性
From Cycle Space to Cycle Manifold: Limits and Achievability of Blind False Data Injection Attacks
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中文总结 AI 辅助
本文证明盲虚假数据注入攻击的隐蔽攻击空间等价于加权圈空间，提出仅基于测量的重建方法，并扩展至交流圈流形，在IEEE系统上验证了绕过率与状态影响。
中文摘要 AI 辅助
虚假数据注入攻击（FDIA）可以在规避基于残差的坏数据检测器（BDD）的同时改变估计的电网状态。现有的盲攻击学习一个低秩测量子空间，但这种代数观点既没有说明使攻击隐蔽的物理电网约束，也没有说明恢复完整攻击空间所需的最小信息。在连通的直流（DC）支路潮流模型下，我们证明无噪声正交检验的残差敏感子空间恰好是加权圈空间。因此，其正交补空间就是完整的隐蔽攻击空间，这使得加权圈空间知识对于完整的盲FDIA既是必要的也是充分的。该空间仅能识别拓扑结构至2-同构，以及每个双连通分量内相对圈边参数至一个尺度；桥参数既无法识别也不需要。随后，我们提出了一个计算上无约束的基准和一个可处理的仅基于测量的重建方法。在IEEE系统上的实验比较了在95%标称接受阈值下的BDD绕过率与状态影响。作为紧凑的交流（AC）扩展，我们用圈流形刻画可行的支路P/Q测量，并在图形处理单元（GPU）上演示了拓扑辅助的流形拟合和测量生成。在无损固定电压小角度极限下，有功功率切片的法空间退化为DC加权圈空间。
英文摘要
A false data injection attack (FDIA) can change the estimated grid state while evading a residual-based bad data detector (BDD). Existing blind attacks learn a low-rank measurement subspace, but this algebraic view does not state the physical grid constraints that make an attack stealthy or the minimum information needed to recover the complete attack space. Under the connected direct-current (DC) branch-flow model, we show that the residual-sensitive subspace of the noiseless orthogonal test is exactly the weighted cycle space. Its orthogonal complement is therefore the complete stealthy attack space, making weighted cycle-space knowledge both necessary and sufficient for complete blind FDIA. This space identifies the topology only up to 2-isomorphism and the relative cycle-edge parameters only up to one scale per biconnected component; bridge parameters are neither identified nor required. We then formulate a computationally unconstrained benchmark and a tractable measurement-only reconstruction method. Experiments on IEEE systems compare BDD bypass rate at a 95% nominal-acceptance threshold against state impact. As a compact alternating-current (AC) extension, we characterize feasible branch P/Q measurements by a cycle manifold and demonstrate topology-assisted manifold fitting and measurement generation on a graphics processing unit (GPU). In the lossless fixed-voltage small-angle limit, the normal space of the active-power slice reduces to the DC weighted cycle space.
发表机构
- Ben-Gurion-University（本-古里安大学）
- Arizona State University（亚利桑那州立大学）
- Shamoon College of Engineering（沙蒙工程学院）
- Ben-Gurion University of Negev（内盖夫本-古里安大学）
机构由 AI 辅助整理，请以论文原文为准。
