Equivalent Relaxations of Optimal Power Flow
نویسندگان
چکیده
منابع مشابه
Nondegeneracy and Inexactness of Semidefinite Relaxations of Optimal Power Flow
The Optimal Power Flow (OPF) problem can be reformulated as a nonconvex Quadratically Constrained Quadratic Program (QCQP). There is a growing body of work on the use of semidefinite programming relaxations to solve OPF. The relaxation is exact if and only if the corresponding optimal solution set contains a rank-one matrix. In this paper, we establish sufficient conditions guaranteeing the non...
متن کاملConvex Relaxations of Chance Constrained AC Optimal Power Flow
High penetration of renewable energy sources and the increasing share of stochastic loads require the explicit representation of uncertainty in tools such as the optimal power flow (OPF). Current approaches follow either a linearized approach or an iterative approximation of non-linearities. This paper proposes a semidefinite relaxation of a chance constrained AC-OPF which is able to provide gu...
متن کاملStrong SOCP Relaxations for the Optimal Power Flow Problem
This paper proposes three strong second order cone programming (SOCP) relaxations for the AC optimal power flow (OPF) problem. These three relaxations are incomparable to each other and two of them are incomparable to the standard SDP relaxation of OPF. Extensive computational experiments show that these relaxations have numerous advantages over existing convex relaxations in the literature: (i...
متن کاملHydrothermal Optimal Power Flow Using Continuation Method
The problem of optimal economic operation of hydrothermal electric power systems is solved using powerful continuation method. While in conventional approach, fixed generation voltages are used to avoid convergence problems, in the proposed algorithm, they are treated as variables so that better solutions can be obtained. The algorithm is tested for a typical 5-bus and 17-bus New Zealand networ...
متن کاملConvex Relaxations of Probabilistic AC Optimal Power Flow for Interconnected AC and HVDC Grids
High Voltage Direct Current (HVDC) lines and grids interconnect AC grids to increase reliability, facilitate integration of electricity markets and connect offshore wind generation. To address the growing uncertainty in the operation of such systems and fully utilize HVDC control capabilities, this work proposes a semidefinite relaxation of a chance constrained AC optimal power flow (OPF) for i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2015
ISSN: 0018-9286,1558-2523
DOI: 10.1109/tac.2014.2357112