Robust scheduling for an integrated electricity and heat system (IEHS) is essential to hedge the uncertainties brought by volatile wind power and heat load that could pose critical security threats to IEHS operation. Because of the distributed structure of different energy sectors, their models are managed locally and private information must be protected. In this context, a decoupled solution is favorable for robust IEHS scheduling. However, due to the specific problem structure with a nonseparable Lagrangian, conventional iterative distributed algorithms are not applicable. In this paper, we make the first attempt for distributed robust IEHS scheduling by providing a non-iterative decoupled solution. A two-stage robust model considering electricity and heat uncertainties is formulated, and the inapplicability of conventional algorithms in decoupling this model is analyzed in depth. To facilitate feasible region projection, a network reduction method considering heat uncerntainties is then devised. Finally, an efficient non-iterative decoupled solution is proposed with guaranteed optimality while preserving the operational independence of different energy sectors. Case studies in two test systems validate the effectiveness of the proposed method.

中文翻译：

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基于网络约简的鲁棒集成电热调度非迭代解耦解决方案

稳定的电力和热力集成系统（IEHS）计划对于应对波动的风力和热负荷带来的不确定性至关重要，因为不确定性可能会对IEHS的运行造成严重的安全威胁。由于不同能源部门的分布式结构，它们的模型在本地进行管理，因此必须保护私人信息。在这种情况下，解耦解决方案有利于健壮的IEHS调度。但是，由于不可分的拉格朗日数的特定问题结构，常规的迭代分布式算法不适用。在本文中，我们通过提供非迭代解耦解决方案进行了分布式鲁棒IEHS调度的首次尝试。建立了考虑电力和热量不确定性的两阶段鲁棒模型，深入分析了传统算法在解耦该模型中的不适用性。为了促进可行的区域投影，然后设计了一种考虑热量不确定性的网络简化方法。最后，提出了一种有效的非迭代解耦解决方案，该方案具有最优的最优性，同时保留了不同能源部门的运营独立性。在两个测试系统中的案例研究验证了所提出方法的有效性。