Affinely adjustable robust optimal scheduling of a power system considering the flexibility of supply and demand

Yumin Zhang; Yongchen Zhang; Xizhen Xue; Xingquan Ji; Yunqi Wang; Pingfeng Ye

doi:10.1049/enc2.70011

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Affinely adjustable robust optimal scheduling of a power system considering the flexibility of supply and demand

更新时间：2026-03-24

- Affinely adjustable robust optimal scheduling of a power system considering the flexibility of supply and demand
- Energy Conversion and Economics Vol. 6, Issue 3, (2025)
- 作者机构：
  
  1. College of Electrical Engineering and Automation, Shandong University of Science and Technology,Qingdao,China
  2. Contribution: Conceptualization, Resources, Writing - review & editing
  3. Contribution: Data curation, Validation, Writing - original draft
  4. School of Electrical and Electronic Engineering, Nanyang Technological University,Singapore,Singapore
  5. Contribution: Formal analysis, Investigation, Supervision, Writing - review & editing
  6. Contribution: Conceptualization, Resources, Supervision, Writing - review & editing
  7. Department of Electrical and Electronics Engineering, RMIT,Victoria,Melbourne,Australia
  8. Contribution: Data curation, Supervision
  9. College of Energy Storage Technology, Shandong University of Science and Technology,Qingdao,China
  10. Contribution: Formal analysis, Validation, Writing - review & editing
- 作者简介：
- 基金信息：
- DOI：10.1049/enc2.70011
  CLC：
- Published：2025
- 稿件说明：
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Yumin Zhang, Yongchen Zhang, Xizhen Xue, et al. Affinely adjustable robust optimal scheduling of a power system considering the flexibility of supply and demand[J]. Energy Conversion and Economics, 2025, 6(3).
DOI：

Yumin Zhang, Yongchen Zhang, Xizhen Xue, et al. Affinely adjustable robust optimal scheduling of a power system considering the flexibility of supply and demand[J]. Energy Conversion and Economics, 2025, 6(3). DOI： 10.1049/enc2.70011.

摘要

Abstract

As the integration of renewable energy sources

such as wind power and photovoltaics

continues

the issue of system uncertainty has become more pronounced. This paper proposes a stochastic power system dispatch method based on affinely adjustable robust optimization (AARO) with a generalized linear polyhedron (GLP) uncertainty set that can accurately quantify the flexibility of the power system supply and demand as well as enhance the optimality of dispatch strategies. First

a GLP uncertainty set was established to characterize both the temporal stochasticity and spatial correlation of multiple renewable energy outputs. A correlation envelope was employed to reflect renewable energy outputs from historical data

and a polyhedral set was proposed to accurately describe the uncertainty for model formulation

which can effectively reduce model conservatism by minimizing empty regions. Furthermore

the range of net load variations was analysed to build a demand flexibility quantification model for the power system. Next

based on the expected operational value

a robust optimization dispatch model that considers the flexible supply and demand balance is developed within the affine strategy framework. Finally

simulations of a modified 6-bus system and modified IEEE 57-bus system validate the effectiveness of the proposed GLP-AARO method for power system flexibility quantification and dispatch strategy optimization.

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