Stochastic Optimal Power Flow for Power Systems Considering Wind Farms Based on the Stochastic Collocation Method

Autor: Bingqing Xia, Yuwei Chen, Wenbin Yang, Qing Chen, Xiaohe Wang, Kuan Min
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: IEEE Access, Vol 10, Pp 44023-44032 (2022)
Druh dokumentu: article
ISSN: 2169-3536
DOI: 10.1109/ACCESS.2022.3169600
Popis: The investigation of stochastic optimal power flow (SOPF) is to seek the optimal solution of static stability constrained optimal power flow considering the uncertainty of parameters in power systems. To solve the problem, this paper proposes an approach based on the stochastic collocation method (SCM) and Gram-Charlier expansion to obtain the optimal solution of SOPF. Firstly, the SOPF model to simultaneously consider uncertainties and static stability is formulated. Then, probabilistic chance constraints are reformulated as a set of deterministic constraints using polynomial approximation, which explicitly describe the relationship between the probability of chance constraints and control variables. By applying the primal-dual interior point method to the reformulated SOPF model, the optimal solution can be efficiently obtained. The proposed SCM-based approach has been thoroughly tested on a modified 3-machine 9-bus system and IEEE 118-bus system, which verifies the effectiveness and accuracy of the proposed method.
Databáze: Directory of Open Access Journals