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适用于微电网辨识与实时频率控制的物理一致性稀疏非线性动力学辨识(SINDy)方法

Physically Consistent SINDy (Sparse Identification of Nonlinear Dynamics) for Microgrid Identification and Real-Time Frequency Control

Mohan Du, Jiayi Lai, Rong-Peng Liu, Xiaozhe Wang

arXiv 2608.00213首次发表:更新:

AI 中文总结

该研究提出PC-SINDYc框架,结合物理引导库构造等技术辨识微电网频率动态,集成MPC实现实时频率控制,仿真显示其控制性能优于PI控制器等方法。

AI 中文摘要

本文提出了一种名为PC-SINDYc的新型框架,用于含分布式能源资源的微电网(MGs)的辨识与频率控制。该算法通过利用物理引导的库构造、总体最小二乘回归和随机样本一致性,能从相量测量单元(PMU)数据中鲁棒地辨识出微电网的真实频率动态,同时考虑噪声、延迟和约束激活情况。基于辨识得到的模型,PC-SINDYc框架进一步集成了模型预测控制器(MPC)以实现实时频率控制。我们证明,在温和条件下,PC-SINDYc可确保微电网的渐近稳定性。对4母线和13母线微电网的仿真结果表明,PC-SINDYc能在离线辨识阶段未出现的各类扰动下有效控制微电网频率,其性能优于比例积分(PI)控制器、传统SINDYc以及最先进的强化学习方法。

英文摘要

This paper proposes PC-SINDYc, a novel framework for the identification and frequency control of microgrids (MGs) with distributed energy resources. By leveraging physics-guided library construction, total least squares regression, and random sample consensus, the regression algorithm of PC-SINDYc robustly identifies the true frequency dynamics of MGs from phasor measurement unit (PMU) data, considering noise, delays, and constraint activations. Based on the identified model, the PC-SINDYc framework further incorporates a model predictive controller (MPC) for real-time frequency control. We prove that, under mild conditions, PC-SINDYc ensures asymptotic stability of the MG. Simulations on 4-bus and 13-bus MGs demonstrate that PC-SINDYc effectively controls MG's frequency across various disturbances unseen during the offline identification, outperforming PI controllers, conventional SINDYc, and state-of-the-art reinforcement learning methods.

DOI:10.1109/TSG.2026.3719674

论文原文

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