A Progressive Polyhedral Approximation Method for Nonlinear PDE-Constrained Electricity-Water Nexus Dispatch

IF 8.6 1区工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Smart Grid Pub Date : 2025-03-21 DOI:10.1109/TSG.2025.3553737

Zhihao Hua;Bin Zhou;Ka Wing Chan;Cong Zhang;Yingping Cao;Pengcheng Wang;Mingchao Xia

引用次数: 0

Abstract

This letter proposes an efficient progressive polyhedral approximation (PA) method to tackle the high nonlinearity and nonconvexity of optimal electricity-water nexus (EWN) dispatch caused by hyperbolic nonlinear partial differential equations (HNPDEs). In this method, the HNPDE-constrained EWN dispatch model can be reformulated into a tractable mixedinteger linear programming (MILP) problem by tailored adaptive discretization and piecewise PA. Furthermore, a progressive approximation refinement technique is developed to dynamically strengthen the MILP for efficient convergence to a near-optimal solution. Comparative studies have validated the effectiveness of the proposed method in reducing decision-making time for the EWN dispatch.

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非线性 PDE 受限水电关联调度的渐进多面体逼近法

本文提出了一种有效的渐进式多面体逼近（PA）方法来解决由双曲型非线性偏微分方程（HNPDEs）引起的最优水电关系（EWN）调度的高非线性和非凸性问题。该方法通过定制自适应离散化和分段遗传算法，将受hnpde约束的电网调度模型转化为可处理的混合整数线性规划问题。在此基础上，提出了一种渐进式逼近改进技术，以动态地增强MILP，使其有效收敛到近最优解。通过对比研究，验证了该方法在减少电网调度决策时间方面的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Transactions on Smart Grid ENGINEERING, ELECTRICAL & ELECTRONIC-

CiteScore

22.10

自引率

9.40%

发文量

526

审稿时长

6 months

期刊介绍： The IEEE Transactions on Smart Grid is a multidisciplinary journal that focuses on research and development in the field of smart grid technology. It covers various aspects of the smart grid, including energy networks, prosumers (consumers who also produce energy), electric transportation, distributed energy resources, and communications. The journal also addresses the integration of microgrids and active distribution networks with transmission systems. It publishes original research on smart grid theories and principles, including technologies and systems for demand response, Advance Metering Infrastructure, cyber-physical systems, multi-energy systems, transactive energy, data analytics, and electric vehicle integration. Additionally, the journal considers surveys of existing work on the smart grid that propose new perspectives on the history and future of intelligent and active grids.