Cyber-attack-induced equilibria of high-voltage direct-current power transmission systems

Haonan Xu , Qinyu Wei , Kaiyu Li , Xiaoqin Liu , Yulong Ding , Dongliang Zheng , Kairui Feng , Yue Song , Jiazuo Hou

Autonomous Intelligent Systems ›› 2026, Vol. 6 ›› Issue (1) : 12

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Autonomous Intelligent Systems ›› 2026, Vol. 6 ›› Issue (1) :12 DOI: 10.1007/s43684-026-00132-5
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Cyber-attack-induced equilibria of high-voltage direct-current power transmission systems
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Abstract

The electric power system is the largest man-made autonomous intelligent machine, which is of vital importance but vulnerable to cyber threats. This study investigates cyber-attack-induced equilibria, i.e., steady-state operation points, of two-terminal high-voltage direct-current (HVDC) power transmission systems, which play a critical role in maintaining power balances. By analytically mapping the control curves of two HVDC converters onto a common control plane, we show that originally linear characteristics become quadratic or more complex. Then, we derive propositions characterizing attack-induced switching of HVDC control strategies as well as the consequent shift of HVDC equilibrium points. Time-domain MATLAB/Simulink case studies validate the theoretical results, highlighting abrupt bulk power reversals and bifurcation-like behaviors under small measurement perturbations. The proposed framework provides HVDC system operators with explicit tools to assess and mitigate attack-driven HVDC operating risks.

Keywords

Autonomous system / Cybersecurity / Equilibria / Human-machine-environment interaction / Power delivery

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Haonan Xu, Qinyu Wei, Kaiyu Li, Xiaoqin Liu, Yulong Ding, Dongliang Zheng, Kairui Feng, Yue Song, Jiazuo Hou. Cyber-attack-induced equilibria of high-voltage direct-current power transmission systems. Autonomous Intelligent Systems, 2026, 6 (1) : 12 DOI:10.1007/s43684-026-00132-5

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