A Stochastic SOCP Optimal Power Flow With Wind Power Uncertainty
2014 (English)In: 2014 IEEE PES General Meeting | Conference & Exposition, IEEE Computer Society, 2014, 6939790- p.Conference paper (Refereed)
Recent research shows that non-convex AC OPF problem can be recast as a convex Semidefinite (SD) problem or Second Order Cone Programming (SOCP) problem. This paper presents a stochastic SOCP OPF (SSOCP-OPF) model for power systems connected to the wind farms. This is performed by reformulating the original non-convex OPF problem using more practical parameters of the power system. Finally, we obtain a convex optimization problem through some wellknown approximations and an exact relaxation incorporating the stochastic nature of wind power. One of the advantage of convex SOCP problems, which are a general form of linear problems, is that they can be efficiently solved through Interior PointMethods (IPMs). The proposed OPF model takes advantage of both DC-OPF models (solution efficiency) and full AC-OPF models (solution accuracy). As an application of SSOCP-OPF model, we study the impact of wind power uncertainty on the transmission loss in the power systems. To evaluate the proposed stochastic model modified IEEE 30-bus test system is used. The optimization problem is coded in GAMS platform and solved using its embedded interior point optimizer MOSEK.
Place, publisher, year, edition, pages
IEEE Computer Society, 2014. 6939790- p.
, IEEE Power and Energy Society General Meeting, ISSN 1944-9925
Convex Optimization, Stochastic SOCP Programming, Wind Power Uncertainty
IdentifiersURN: urn:nbn:se:kth:diva-164498DOI: 10.1109/PESGM.2014.6939790ISI: 000349551504117ScopusID: 2-s2.0-84931003410ISBN: 978-1-4799-6415-4OAI: oai:DiVA.org:kth-164498DiVA: diva2:806242
2014 IEEE Power and Energy Society General Meeting, National Harbor, United States, 27 July 2014 through 31 July 2014
QC 201504202015-04-202015-04-172015-07-02Bibliographically approved