Open AccessRobust transmission constrained unit commitment under wind power uncertainty with adjustable conservatism
Author(s) -
Tian Yuan,
Wu Wei,
Wang Keyou,
Fu Yong,
Li Guojie
Publication year - 2020
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2019.1361
Subject(s) - conservatism , mathematical optimization , power system simulation , wind power , computer science , set (abstract data type) , affine transformation , economic dispatch , ellipsoid , value (mathematics) , process (computing) , power (physics) , realisation , control theory (sociology) , operations research , electric power system , mathematics , engineering , artificial intelligence , control (management) , physics , electrical engineering , quantum mechanics , politics , political science , law , astronomy , machine learning , pure mathematics , programming language , operating system
This study proposes a novel robust transmission‐constrained unit commitment model with adjustable conservatism (denoted as RAC‐TCUC). Ellipsoidal uncertainty set (EUS) is adopted in this model to well fit the spatial–temporal correlated wind power. The affine policy is utilised in the generation dispatch process of the model for the sake of computational tractability. To reduce the conservatism, a novel criterion for budget value selection of the EUS is presented. Moreover, this study discusses a crucial, yet barely addressed issue in the literature: the feasibility of the solution against the realisation of uncertainties beyond the prescribed EUS. To prove the validity of the criterion, an analytical relationship between the budget value of the EUS and the actual probability of solution's feasibility against all possible scenarios of uncertainties is presented. Finally, the testing results demonstrate the effectiveness and economic benefits of the proposed method.