Analytical solution of stochastic real‐time dispatch incorporating wind power uncertainty characterized by Cauchy distribution

Autor: Shuwei Xu, Wenchuan Wu, Yue Yang, Bin Wang, Xiaohai Wang
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: IET Renewable Power Generation, Vol 15, Iss 10, Pp 2286-2301 (2021)
Druh dokumentu: article
ISSN: 1752-1424
1752-1416
DOI: 10.1049/rpg2.12163
Popis: Abstract Real‐time power dispatch can coordinate wind farms, automatic generation control units and non‐automatic generation control units. In real‐time power dispatch, the probable wind power forecast errors should be appropriately formulated to ensure system security with high probability and minimize operational cost. Previous studies and the authors' onsite tests show that Cauchy distribution effectively fits the “leptokurtic” feature of small‐timescale wind power forecast errors distributions. In this paper, a chance‐constrained real‐time dispatch model with the wind power forecast errors represented by multivariate Cauchy distribution is proposed. Since the Cauchy distribution is stable and has promising mathematical characteristics, the proposed chance‐constrained real‐time dispatch model can be analytically transformed to a convex optimization problem considering the dependence among wind farms’ outputs. Moreover, the proposed model incorporates an affine control strategy compatible with automatic generation control systems. This strategy makes the chance‐constrained real‐time dispatch adaptively take into account both the potential power ramping requirement and power variation on transmission lines caused by the generation adjustment to offset the wind power forecast errors in real‐time power dispatch stage. Numerical test results show that the proposed method is reliable and effective. Meanwhile it is very efficient and suitable for real‐time application.
Databáze: Directory of Open Access Journals
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