Robust Optimal Power Flow Solution Using Trust Region and Interior-Point Methods

Sousa, Andréia Oliveira Barros; Torres, G.L.; Cañizares, Claudio A.

doi:10.1109/tpwrs.2010.2068568

Cited by 95 publications

(42 citation statements)

References 21 publications

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“…In other words, only the sub-injections are free variables while the injection of node 0 is not. Since not all variables are free ones,  or  is not convex unless the relationships between these variables are linear, which is not true because of (5). Therefore, it is reasonable to put the focus on the sub-injection.…”

Section: Propositionmentioning

confidence: 99%

“…General-purpose nonlinear programming (NLP) solvers can be used to solve the AC OPF. A number of dedicated methods were developed to solve the AC OPF problems in the last two decades, such as the trust region interior point algorithm [4], [5], Lagrangian method [6], and primaldual interior point method [7]. However, these methods normally obtain a locally optimal solution and it is not possible to know how far it is from the global optimum.…”

mentioning

confidence: 99%

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A Sufficient Condition on Convex Relaxation of AC Optimal Power Flow in Distribution Networks

Huang

Wang

et al. 2016

IEEE Trans. Power Syst.

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Section: Propositionmentioning

confidence: 99%

mentioning

confidence: 99%

A Sufficient Condition on Convex Relaxation of AC Optimal Power Flow in Distribution Networks

Huang

Wang

et al. 2016

IEEE Trans. Power Syst.

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“…Define the search direction when the quadratic model used by the algorithm is not convex; (ii) Handle the rank deficiency of the Hessian of the Lagrangian and constraint Jacobian. The robustness of combined PDIPM and TR is studied in [33]. Lots of commercial software applying the combined PDIPM and TR methods solves the nonlinear programming problems.…”

Section: Trust Region Methodsmentioning

confidence: 99%

Voltage Control in the Future Power Transmission Systems

Qin

2018

Springer Theses

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“…On the other hand, trust regions approaches have not received much attention in the OPF context until very recently [71,72,73,74]. They focus more on algorithm robustness and global convergence than on computational speed.…”

Section: Efficient Algorithms For Continuous Scopf Relaxation Solutionmentioning

confidence: 99%

“…the predictor-corrector [64,66,69] and the multiple centrality corrections [70]) exhibit the best behaviour. IPM has been applied successfully to OPF problems not only for test systems but also to models of actual systems.On the other hand, trust regions approaches have not received much attention in the OPF context until very recently [71,72,73,74]. They focus more on algorithm robustness and global convergence than on computational speed.…”

mentioning

confidence: 99%

State-of-the-art, challenges, and future trends in security constrained optimal power flow

Capitanescu

Martínez-Ramos

Panciatici³

et al. 2011

Electric Power Systems Research

400

249

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This paper addresses the main challenges to the security constrained optimal power flow (SCOPF) computations. We first discuss the issues related to the SCOPF problem formulation such as the use of a limited number of corrective actions in the post-contingency states and the modeling of voltage and transient stability constraints. Then we deal with the challenges to the techniques for solving the SCOPF, 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. We finally address the current trend of extending the SCOPF formulation to take into account the increasing levels of uncertainty in the operation planning. For each such topic we provide a review of the state of the art, we identify the advances that are needed, and we indicate ways to bridge the gap between the current state of the art and these needs. * Corresponding author Email addresses: capitane@montefiore.ulg.ac.be (F. Capitanescu), camel@us.es (J.L. Martinez Ramos), patrick.panciatici@rte-france.com (P. Panciatici), kirschen@uw.edu (D. Kirschen), alejandromm@us.es (A. Marano Marcolini), ludovic.platbrood@gdfsuez.com (L. Platbrood), l.wehenkel@ulg.ac.be (L. Wehenkel) Preprint submitted to Electric Power Systems ResearchMay 2, 2011Keywords: mixed integer linear programming, mixed integer nonlinear programming, nonlinear programming, optimal power flow, security constrained optimal power flow MotivationThe SCOPF [1,2] is an extension of the OPF problem [3,4] which takes into account constraints arising from the operation of the system under a set of postulated contingencies. The SCOPF problem is a nonlinear, nonconvex, large-scale optimization problem, with both continuous and discrete variables [1,2]. The SCOPF belongs therefore to the class of optimization problems called Mixed Integer Non-Linear Programming (MINLP).The SCOPF has become an essential tool for many Transmission System Operators (TSOs) for the planning, operational planning, and real time operation of their system [5,6, 7,8]. Furthermore, in several electricity markets (e.g. PJM, New-England, California, etc.) the locational marginal prices calculated using a DC SCOPF are used to price electricity. This approach is also under consideration in other systems [9,10,11].Several papers discussing the challenges to the OPF problem were published during the 90's [5,6, 7,8]. Since then several important changes have taken place not only in power systems operation and control but also in mathematical programming:• Power systems operate today in conditions that are more "stressed" and were not foreseen at the planning stage. In particular the increase in load has not been supported by an adequate upgrade of the generation and transmission systems. Furthermore the creation of electricity markets has led to the trading of significant amounts of electrical energy over lo...

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Robust Optimal Power Flow Solution Using Trust Region and Interior-Point Methods

Cited by 95 publications

References 21 publications

A Sufficient Condition on Convex Relaxation of AC Optimal Power Flow in Distribution Networks

A Sufficient Condition on Convex Relaxation of AC Optimal Power Flow in Distribution Networks

Voltage Control in the Future Power Transmission Systems

State-of-the-art, challenges, and future trends in security constrained optimal power flow

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