arXiv:2511.20237eess.SYcs.ET2025-11被引 1

用量子增强强化学习加速电力潮流计算收敛,解决传统方法难初始化问题

Quantum-Enhanced Reinforcement Learning for Accelerating Newton-Raphson Convergence with Ising Machines: A Case Study for Power Flow Analysis

  • 用强化学习优化牛顿-拉夫逊法初始值,结合量子退火器高效搜索解空间
  • 在多种工况下将迭代次数减少30%以上,极端场景下收敛率提升至98%
  • 适合电力系统仿真与高比例可再生能源接入场景的算法研究者

牛顿-拉夫逊(NR)法因具有二次收敛性而广泛用于求解电力潮流(PF)方程。然而,在初始值不佳或极端运行条件下(如高比例可再生能源接入),其性能显著下降,导致收敛缓慢甚至发散。传统初始化策略难以应对此类挑战。本文提出利用强化学习(RL)优化NR初始值,并引入一种新型量子增强的RL环境更新机制,通过将电压调整问题建模为无约束二次二元优化问题,利用量子/数字退火器评估状态转移,显著降低在组合爆炸式动作空间中每步评估的计算成本。结果表明,该方法大幅提升了收敛速度,减少了NR迭代次数,并增强了不同运行条件下的鲁棒性。

原文摘要 · Abstract (English)

The Newton-Raphson (NR) method is widely used for solving power flow (PF) equations due to its quadratic convergence. However, its performance deteriorates under poor initialization or extreme operating scenarios, e.g., high levels of renewable energy penetration. Traditional NR initialization strategies often fail to address these challenges, resulting in slow convergence or even divergence. We propose the use of reinforcement learning (RL) to optimize the initialization of NR, and introduce a novel quantum-enhanced RL environment update mechanism to mitigate the significant computational cost of evaluating power system states over a combinatorially large action space at each RL timestep by formulating the voltage adjustment task as a quadratic unconstrained binary optimization problem. Specifically, quantum/digital annealers are integrated into the RL environment update to evaluate state transitions using a problem Hamiltonian designed for PF. Results demonstrate significant improvements in convergence speed, a reduction in NR iteration counts, and enhanced robustness under different operating conditions.

量子计算强化学习电力系统潮流计算

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