AI 中文总结
针对综合热力与电力系统，提出基于Bernstein-Galerkin等价投影的分散式连续时间调度框架，实现变流量变温度运行，保护隐私并提升经济与计算性能。
AI 中文摘要
综合热力与电力系统（IHPSs）的分散式功率调度涉及在保护隐私的同时协调电力系统（EPSs）和区域供热网络（DHNs）。现有方法主要依赖离散时间DHN模型和恒定流量运行，限制了利用热灵活性的能力。实现变流量和变温度（VF-VT）运行需要将热-水力耦合与连续时间热动力学一起处理。然而，质量流量和温度的同步变化导致IHPS模型非凸，传统分解方法难以适用。本文提出了一种使用Bernstein-Galerkin等价投影的分散式连续时间调度框架。对于给定的质量流量轨迹，DHN热动力学在Bernstein空间中表述并投影到边界变量上，产生一个等价可行域模型，而不泄露内部DHN拓扑或状态。等价模型和DHN子问题源自统一的Bernstein-Galerkin表述，确保在整个EPS-DHN协调过程中热状态表示的一致性。一种有保护的Anderson预测方案通过使用历史更新和不动点残差来预测下一次输入，而无需额外的子问题求解步骤，从而进一步加速交替协调过程。数值结果表明，所提方法保持了热状态一致性，利用了VF-VT灵活性，并提高了经济性和计算性能。
英文摘要
Decentralized power dispatch for integrated heat and power systems (IHPSs) involves coordinating electric power systems (EPSs) and district heating networks (DHNs) while preserving privacy. The existing methods rely mainly on discretetime DHN models and constant-flow operations, limiting the ability to exploit thermal flexibility. Enabling variable-flow and variable-temperature (VF-VT) operations requires thermal-hydraulic coupling to be addressed together with continuous-time thermal dynamics. However, the simultaneous variations in mass flows and temperature lead to a nonconvex IHPS model, for which conventional decomposition methods are difficult to apply. This paper proposes a decentralized continuous-time dispatch framework using Bernstein-Galerkin equivalent projection. For a prescribed mass flow trajectory, DHN thermal dynamics are formulated in the Bernstein space and projected onto boundary variables, yielding an equivalent feasible-region model without disclosing the internal DHN topology or states. The equivalent model and DHN subproblem are derived from a unified Bernstein-Galerkin formulation, ensuring a consistent thermal state representation throughout the EPS-DHN coordination procedure. A safeguarded Anderson prediction scheme further accelerates the alternating coordination process by using historical updates and fixed-point residuals to predict the next input without additional subproblem solving steps. Numerical results show the proposed method preserves thermal state consistency, exploits VF-VT flexibility, and improves economic and computational performance.
