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面向多不确定性下含海量空调负荷的实时微电网运行的降维近似动态规划(ADP)方法

Dimension-Reduced ADP for Real-Time Microgrid Operation with Massive Air-Conditioning Loads under Multiple Uncertainties

Jingguan Liu, Xiaomeng Ai, Shichang Cui, Jiakun Fang, Jinyu Wen

arXiv 2609.01972首次发表:更新:

AI 中文总结

针对多不确定性下含海量空调负荷的实时微电网运行问题,提出降维ADP方法,通过价值函数投影与分段线性近似降维,在33、123节点系统上实现低计算成本的近最优运行,具备良好可扩展性。

AI 中文摘要

本文提出一种降维近似动态规划(ADP)方法,用于解决多不确定性下含海量空调负荷的实时微电网运行问题。该运行问题被建模为多阶段马尔可夫决策过程,引入决策后价值函数以刻画当前决策对未来运行成本的影响。为应对海量空调负荷引发的维度灾难,开发了基于一致性的价值函数投影方法,将每个节点的高维状态空间映射为可处理的聚合状态空间。基于降维后的状态,进一步采用分段线性近似实现高效的价值函数训练。在33节点和123节点系统上的案例研究表明,所提方法在确定性和随机条件下均能以低计算成本、良好的可扩展性实现接近最优的运行性能。

英文摘要

This paper proposes a dimension-reduced approximate dynamic programming (ADP) method for real-time microgrid operation with massive air-conditioning loads under multiple uncertainties. The operation problem is formulated as a multi-stage Markov decision process, and a post-decision value function is introduced to characterize the impact of current decisions on future operating costs. To address the curse of dimensionality caused by massive air-conditioning loads, a consistency-based value function projection is developed to map the high-dimensional state space at each node into a tractable aggregated state space. Based on the reduced states, piecewise linear approximation is further employed for efficient value function training. Case studies on 33-bus and 123-bus systems show that the proposed method achieves near-optimal operation performance with low computational cost and good scalability under both deterministic and stochastic conditions.

CommentsAccepted in Proc. 2026 IEEE PES 18th Asia-Pacific Power and Energy Engineering Conference (APPEEC), Singapore, August 24--27, 2026 (Best Paper Award Presentation)

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