A Distributionally Robust Optimization Method Considering the Flexibility of Power Grid Along High Altitude Mountain Railway

被引：0
|
作者：
Sun W. [1 ]
Zhang Q. [1 ]
Liu Z. [1 ]
Ye L. [2 ]
机构：
[1] School of Electrical Engineering, Southwest Jiaotong University, Sichuan Province, Chengdu
[2] State Grid Inner Mongolia East Power Co, Inner Mongolia Autonomous Region, Hohhot
来源：
Dianwang Jishu/Power System Technology | 2023年 / 47卷 / 06期
基金：
中国国家自然科学基金; 国家自然科学基金重点项目;
关键词：
chance constraints; distributionally robust; flexibility; high altitude mountain railway; Wasserstein distance;
D O I：
10.13335/j.1000-3673.pst.2022.0811
中图分类号：
学科分类号：
摘要：
To avoid the insufficient flexibility of power grids along the high-altitude mountain railways due to the source-load fluctuations, a distributionally robust optimization considering the flexibility is proposed in this paper. Firstly, for a high-altitude mountain railway with long ramps under construction, the high-speed railway load is simulated through the planned train operation map and the line topography. Secondly, the Wasserstein distance is used to establish the uncertainty set of the flexibility requirements caused by the source-load fluctuations. Furthermore, a risk cost model for the insufficient flexibility is constructed and coupled to the objective function. The probability of the flexibility is limited to a certain confidence level, and a distributionally robust chance constrained optimization model based on the Wasserstein distance is established. Then, for the computational efficiency problem caused by the increase of the number of the constraints with the increase of the historical data, a distributionally robust chance constraint model based on the conjugate transformation is proposed. An approximate frame transformation based on the conjugate function is used for the objective function, and a method of inner approximation and relaxation is used to approximate the chance constraints. Finally, a simulation study of the power grid and railways in a high-altitude mountainous area is carried out to verify the correctness and effectiveness of the model. © 2023 Power System Technology Press. All rights reserved.
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页码：2485 / 2496
页数：11
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