Journal ArticleDOI
An interior-point method for nonlinear optimal power flow using voltage rectangular coordinates
G.L. Torres,V.H. Quintana +1 more
TLDR
In this article, the authors describe the solution of an optimal power flow (OPF) problem in rectangular form by an interior-point method (IPM) for nonlinear programming.Abstract:
The paper describes the solution of an optimal power flow (OPF) problem in rectangular form by an interior-point method (IPM) for nonlinear programming. Some OPF variants when formulated in rectangular form have quadratic objective and quadratic constraints. Such quadratic features allow for ease of matrix setup, and inexpensive incorporation of higher-order information in a predictor-corrector procedure that generally improves IPM performance. The mathematical development of the IPM in the paper is based on a general nonlinear programming problem. Issues in implementation to solve the rectangular OPF are discussed. Computational tests apply the IPM to both the rectangular and polar OPF versions. Test results show that both algorithms perform extremely well.read more
Citations
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Journal ArticleDOI
Optimal power flow by enhanced genetic algorithm
TL;DR: A number of functional operating constraints, such as branch flow limits, load bus voltage magnitude limits, and generator reactive capabilities, are included as penalties in the GA fitness function (FF).
Journal ArticleDOI
Optimal Planning of Electric-Vehicle Charging Stations in Distribution Systems
TL;DR: In this article, a mathematical model for the optimal sizing of EV charging stations is developed with the minimization of total cost associated with EVs charging stations to be planned as the objective function and solved by a modified primal-dual interior point algorithm (MPDIPA).
Journal ArticleDOI
Optimal power flow: a bibliographic survey I
TL;DR: Optimal power flow (OPF) has become one of the most important and widely studied nonlinear optimization problems as mentioned in this paper, and there is an extremely wide variety of OPF formulations and solution methods.
Journal ArticleDOI
Exact Convex Relaxation of Optimal Power Flow in Radial Networks
TL;DR: It is proved that a global optimum of OPF can be obtained by solving a second-order cone program, under a mild condition after shrinking the OPF feasible set slightly, for radial power networks.
Journal ArticleDOI
State-of-the-art, challenges, and future trends in security constrained optimal power flow
Florin Capitanescu,J.L. Martinez Ramos,Patrick Panciatici,Daniel S. Kirschen,A. Marano Marcolini,L. Platbrood,Louis Wehenkel +6 more
TL;DR: In this paper, the main challenges to the security constrained optimal power flow (SCOPF) computations are discussed, focusing mainly on: approaches to reduce the size of the problem by either efficiently identifying the binding contingencies and including only these contingencies in the SCOPF or by using approximate models for the post-contingency states, and the handling of discrete variables.
References
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Journal ArticleDOI
On the Implementation of a Primal-Dual Interior Point Method
TL;DR: A Taylor polynomial of second order is used to approximate a primal-dual trajectory and an adaptive heuristic for estimating the centering parameter is given, which treats primal and dual problems symmetrically.
Journal ArticleDOI
Optimal reactive dispatch through interior point methods
TL;DR: An implementation of an interior point method to the optimal reactive dispatch problem is described in this article, which is based on the primal-dual algorithm and the numerical results in large scale networks (1832 and 3467 bus systems) have shown that this technique can be very effective to some optimal power flow applications.
Journal ArticleDOI
Optimal Power Flow By Newton Approach
TL;DR: In this paper, a direct simultaneous solution for all of the unknowns in the Lagrangian function on each iteration is proposed, where each iteration minimizes a quadratic approximation of the Lagrangeian.
Journal ArticleDOI
A survey of the optimal power flow literature
M. Huneault,Francisco D. Galiana +1 more
TL;DR: A survey of publications in the fields of optimal power flow and dispatching can be found in this article, where the authors suggest a classification of methods based on the choice of optimization techniques and a single flow-chart-type figure, which indicates the relationship between methods, their chronology, and their popularity.
Book ChapterDOI
Pathways to the optimal set in linear programming
TL;DR: In this article, the authors present continuous paths leading to the set of optimal solutions of a linear programming problem, which are derived from the weighted logarithmic barrier function and have nice primal-dual symmetry properties.