Adaptive robust AC optimal power flow considering load and wind power uncertainties. (March 2018)

• Record Type: Journal Article
• Authors: Attarha, Ahmad; Amjady, Nima; Conejo, Antonio J.
• Is Part Of: International journal of electrical power & energy systems. Volume 96(2018)
• Page Start: 132
• Page End: 142
• Publication Date: 2018-03
• Subjects: ACOPF -- Adaptive robust optimization -- Budget of uncertainty -- Initialization -- Wind power; Electrical engineering -- Periodicals; Electric power systems -- Periodicals; Électrotechnique -- Périodiques; Réseaux électriques (Énergie) -- Périodiques; Electric power systems; Electrical engineering; Periodicals; 621.3
• DOI: 10.1016/j.ijepes.2017.09.037
• Languages: English
• ISSNs: 0142-0615

Abstract

Highlights: An adaptive robust OPF model is proposed including nonlinear AC power flow equations. The uncertainties of loads and wind power productions are modeled. A tractable tri-level decomposition strategy is presented. A novel initialization process is introduced. Testing the proposed adaptive robust OPF approach on large test systems. Abstract: This paper proposes a tri-level adaptive robust AC optimal power flow (AR-ACOPF) model incorporating wind units. The uncertain wind power production as well as the system demand are characterized in terms of bounded intervals forming a polyhedral uncertainty set. The proposed model is robust against any realization of uncertain parameters (i.e. wind power production and system demand) within the uncertainty set. Also the robustness of the solutions is controlled through a parameter denominated budget of uncertainty. Since the proposed tri-level model is not solvable via an off-the-shelf optimization package, a decomposition strategy relying on primal and dual cuts is proposed to solve it. To reduce the computation burden of the proposed AR-ACOPF problem, an effective initialization process is also presented. The proposed AR-ACOPF model and solution approach are illustrated using the well-known IEEE 300-bus and Polish 2746-bus test systems.