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风电不确定下机组组合的鲁棒优化研究
曲红1,安烨琪2
(1.中国石油大学(华东) 期刊社,山东 青岛 266580;2.中国建筑第五工程局第三建设有限公司,湖南 长沙 410007)
摘要:
在风力发电的大背景下,以线路潮流、电力负荷、机组爬坡等不确定因素为约束条件,对机组组合模型进行研究,旨在降低风力发电的预期成本。采用两阶段的鲁棒优化模型,保证了在不确定集合中取得的参数能够满足模型的全部约束,而且可以降低最坏情况下的预期发电成本。在模型的处理上,通过引入辅助变量来建立仿射函数,进而完成对目标函数的线性逼近。研究发现,随着更多的信息被合并到不确定性集中,最坏情况的分布保守性逐渐降低,进而实现了缩小预期成本的目的。最后通过简化示例进行验证分析,更直观地体现出鲁棒优化模型在处理风电机组组合问题上的可行性和实用性。
关键词:  风电不确定  机组组合  鲁棒优化  线性规划
DOI:10.13216/j.cnki.upcjess.2020.06.0007
分类号:TM73
基金项目:国家自然科学基金项目(71801224)
Robust Optimization of Unit Commitment under Wind Power Uncertainty
QU Hong1, AN Yeqi2
(1.Periodical Office, China University of Petroleum(East China), Qingdao, Shandong 266580, China;2.The Third Construction Company of China Construction Fifth Engineering Bureau Ltd., Changsha, Hunan 410007, China)
Abstract:
In consideration of the background of wind power generation, the unit combination model is studied by taking into account the constraints of uncertain factors such as line power flow, power load, and unit ramp limits, with the aim of reducing the expected cost of wind power generation. A two-stage robust optimization model is adopted, which can ensure that the parameters obtained in the uncertain set meet all the constraints of the model, and can reduce the expected power generation cost in the worst case. In the process of model solving, an auxiliary variable is introduced to establish an affine function, and then a linear approximation to the objective function is completed. It can be found that as more information is merged into the uncertainty set, the distribution conservativeness of the worst case gradually decreases. Then the purpose of reducing the expected cost is achieved. Finally, a simplified example is used to verify and analyze, which more intuitively reflects the feasibility and practicability of the robust optimization model in dealing with wind turbine assembly problems.
Key words:  unit combination  robust optimization  wind power uncertainty  linear programming