NDLI: Ill-conditioned Optimal Power Flow solutions and performance of non-linear programming solvers

Content Provider	IEEE Xplore Digital Library
Author	Bedrinana, M.F. Rider, M.J. Castro, C.A.
Copyright Year	2009
Description	Author affiliation: State University of Campinas, Power Systems Department, São Paulo, Brazil (Bedrinana, M.F.; Rider, M.J.; Castro, C.A.)
Abstract	In this paper, the performance of the most popular non-linear programming solvers (e.g. IPOPT, KNITRO, LOQO, MINOS and SNOPT) is evaluated for applications in power systems and treatment of ill-conditioned systems related to Optimal Power Flow (OPF) solutions. Regarding the applications, the maximum loading point problem modeled as an optimization problem is used as an OPF example. Also, it is used to describe the ill-conditioned OPF solutions, the sensitivity matrices obtained in the OPF process, and conditions related to linear independence (LI) loss singularity analysis. Simulations using a simple two-bus and IEEE test systems are carried out to evaluate the performance of solvers for solving LI loss singularity cases, which were obtained upon the original data systems. Some of the Lagrange multipliers corresponding to the constraints tend to infinity when the LI condition is violated, which implies that the OPF solution is ill-conditioned. In this case, the number of iterations increases (convergence problems) significantly for all solvers, and some solvers presented oscillatory process.
Starting Page	1
Ending Page	7
File Size	127376
Page Count	7
File Format	PDF
ISBN	9781424422340
DOI	10.1109/PTC.2009.5282232
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-28
Publisher Place	Romania
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Load flow Linear programming Load flow analysis System testing Power system modeling Quadratic programming Power system analysis computing State estimation Sensitivity analysis Power systems step size optimization Maximum loading point voltage stability load flow analysis
Content Type	Text
Resource Type	Article

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