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基于仿射可调鲁棒的非预期全场景可行机组组合

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非预期性是指当前决策无法依赖于未来尚未实现的不确定参数,是电力调度时序决策的因果逻辑和基本原则.全场景可行性是指不确定参数所有可能的实现值都存在一种可行决策结果与之对应,是电力调度的最终目标.随着新能源的大规模并网,电力系统的运行需要应对显著的不确定性,因此在电力调度的过程中考虑决策过程的非预期性并使决策结果满足全场景可行性变得愈发重要.为此,该文探讨非预期性和全场景可行性的内在机理,并构造非预期性约束和满足全场景可行且场景数目有限的场景集;然后,建立一种基于场景的非预期全场景可行机组组合模型,以提供满足全场景可行性的机组组合结果.鉴于上述机组组合模型的规模巨大且求解困难,利用仿射可调鲁棒模型处理全场景可行机组组合问题,提出基于仿射可调鲁棒的非预期全场景可行机组组合模型.该模型仅以少量保守性和最优性损失,换取了模型规模的指数级显著减小和问题求解效率的显著提升,可以被认为是非预期全场景可行机组组合问题的有效解决方案.最后,基于IEEE-118测试系统,详细分析考虑决策过程非预期性和决策满足全场景可行性在电力调度中的求解效率和保守性,论证所提基于仿射可调鲁棒的非预期全场景可行机组组合模型的优势.
Non-anticipative All-scenario-feasible Unit Commitment Based on Affinely Adjustable Robust Model
Non-anticipativity is a critical principle in power dispatching,ensuring that uncertain future parameters do not affect current decisions.All-scenario feasibility refers to the ultimate objective in power dispatching,where every possible realization of uncertain parameters has a corresponding feasible decision.These become vital in power dispatching,especially with integrating renewable energy sources introducing uncertainties.Thus,this paper explores the mechanisms of non-anticipativity and all-scenario feasibility,constructing non-anticipativity constraints and a finite scenario set that satisfies all-scenario feasibility.Based on them,this paper establishes a scenario-based all-scenario feasible unit commitment model with non-anticipativity to provide unit commitment solutions that satisfy all-scenario feasibility.Further,recognizing the computational challenges posed by the above model,this paper transforms the model using affine transformations and robust equivalent constraints.It introduces an affine-adjustable robust all-scenario feasible unit commitment model with non-anticipativity in decision-making.This model reduces the computational complexity and demonstrates advantages in solving efficiency.Finally,the paper conducts case studies using a modified IEEE-118 test system.These case studies thoroughly examine the importance of non-anticipativity in decision-making and the necessity of decisions fulfilling all-scenario feasibility in power dispatching,then evaluate the efficiency of the proposed affine-adjustable robust all-scenario feasible unit commitment model with non-anticipativity in the decision-making process.

non-anticipativityall-scenario feasibilityunit commitmentaffine transformationaffine-adjustable robust optimization

肖杨、丁涛、黄海煜、张碧元、熊玮、张彦涛

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西安交通大学电气工程学院,陕西省西安市 710049

国家电网有限公司华中分部,湖北省武汉市 430077

国网电力科学研究院有限公司,江苏省 南京市 211106

非预期性 全场景可行性 机组组合 仿射变换 仿射可调鲁棒优化

国家电网有限公司科技项目

5108-202304065A-1-1-ZN

2024

中国电机工程学报
中国电机工程学会

中国电机工程学报

CSTPCD北大核心
影响因子:2.712
ISSN:0258-8013
年,卷(期):2024.44(16)