Integrated electricity and heat systems facilitate efficient interactions between individual energy sectors for higher renewable energy accommodation. However, the feasibility of operational strategies is difficult to guarantee due to the presence of substantial uncertainties pertinent to renewable energy and multi-energy loads. This paper proposes a novel efficient robust scheduling model of integrated electricity and heat systems based on extensions of disturbance invariant sets. The approach has high computational efficiency and provides flexible and robust strategies with an adjustable level of conservativeness. In particular, the proposed robust scheduling method obtains scheduling strategies by solving a nominal uncertainty-free scheduling problem, whose complexity is identical to a deterministic problem. The robustness against uncertainties is enhanced by endowing the nominal scheduling model with properly tightened constraints considering time-variant uncertainty sets. Towards this end, a novel direct constraint tightening algorithm is developed based on the dual norm to calculate multi-period tightened constraints efficiently without linear programming iterations. Furthermore, the budget uncertainty set is newly combined with constraint tightening to flexibly adjust the conservativeness level of robust solutions. The effectiveness of the proposed robust method is demonstrated in simulation studies of two test systems in terms of computational efficiency, decision robustness and cost reduction.

中文翻译：

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综合电力和热力系统的高效稳健调度：直接约束收紧方法

集成的电力和热力系统促进了各个能源部门之间的有效互动，以实现更高的可再生能源适应。然而，由于存在与可再生能源和多能源负载相关的大量不确定性，运营策略的可行性难以保证。本文提出了一种新的基于扰动不变集扩展的热电一体化系统高效鲁棒调度模型。该方法具有较高的计算效率，并提供具有可调节保守性水平的灵活和稳健的策略。特别地，所提出的鲁棒调度方法通过解决名义上的无不确定性调度问题来获得调度策略，其复杂性与确定性问题相同。考虑到时变不确定性集，通过赋予名义调度模型适当收紧的约束，增强了对不确定性的鲁棒性。为此，基于对偶范数开发了一种新颖的直接约束紧缩算法，以在没有线性规划迭代的情况下有效地计算多周期紧缩约束。此外，新的预算不确定性集与约束收紧相结合，以灵活调整稳健解决方案的保守程度。在两个测试系统的模拟研究中，在计算效率、决策鲁棒性和降低成本方面证明了所提出的鲁棒方法的有效性。基于对偶范数开发了一种新颖的直接约束紧缩算法，无需线性规划迭代即可高效计算多周期紧缩约束。此外，新的预算不确定性集与约束收紧相结合，以灵活调整稳健解决方案的保守程度。在两个测试系统的模拟研究中，在计算效率、决策鲁棒性和降低成本方面证明了所提出的鲁棒方法的有效性。基于对偶范数开发了一种新颖的直接约束紧缩算法，无需线性规划迭代即可高效计算多周期紧缩约束。此外，新的预算不确定性集与约束收紧相结合，以灵活调整稳健解决方案的保守程度。在两个测试系统的模拟研究中，在计算效率、决策鲁棒性和降低成本方面证明了所提出的鲁棒方法的有效性。