Hydrothermal Scheduling Using Benders Decomposition: Accelerating Techniques

Sifuentes, Wilfredo; Vargas, Alberto

doi:10.1109/tpwrs.2007.901751

Cited by 77 publications

(53 citation statements)

References 19 publications

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“…This operating point is closer to the initial point but at this point the operation of system 2 is more disturbed due to a significant redistribution of power flows inside the minor loop. The proposed algorithm does not yield this solution because the pre-contingency changes are constrained to obey (28). In fact, having attributed the security problem to a certain cause (an excessive transit flow), the algorithm tries to find the closest correctively secure operating point towards the direction that mitigates this cause.…”

Section: B Optimality Of the Methodsmentioning

confidence: 99%

“…The proposed problem decomposition offers some similarities with the Benders decomposition method [19], [21], [22], [27], [28] from which it differs, however, as discussed hereafter.…”

Section: Analogy With Benders Decompositionmentioning

confidence: 99%

“…2. This may not be the case with Benders decomposition, as quoted in some papers reporting on the non-monotonic decrease of the objective function [21] or the slow final convergence (known as "tailing-off effect") [28]. Finally, with Benders decomposition, the size and the structure of the master problem vary from one iteration to the other, depending on the cut constraints added.…”

Section: Analogy With Benders Decompositionmentioning

confidence: 99%

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Minimal Reduction of Unscheduled Flows for Security Restoration: Application to Phase Shifter Control

Marinakis

Glavić

Cutsem

2010

IEEE Trans. Power Syst.

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Abstract-More and more transmission system operators, noticeably in Europe, equip their systems with phase shifting transformers to counteract transit flows that take place in a large meshed interconnection. This paper proposes algorithms for the coordinated control of several phase shifters by one operator with the objective of reducing the unscheduled flow through its system. Minimum reduction of unscheduled flow and minimum deviation with respect to present operating point are sought in order to minimize the trouble caused, while ensuring secure operation. Attention is paid to combining pre-and post-contingency controls. The resulting algorithms, simple and compatible with real-time applications, are illustrated on a realistic test system. Index Terms-Corrective control, correctively secure operation, optimal power flow, phase shifting transformer, preventive control, transit flow, unscheduled flow.

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Section: B Optimality Of the Methodsmentioning

confidence: 99%

“…The proposed problem decomposition offers some similarities with the Benders decomposition method [19], [21], [22], [27], [28] from which it differs, however, as discussed hereafter.…”

Section: Analogy With Benders Decompositionmentioning

confidence: 99%

Section: Analogy With Benders Decompositionmentioning

confidence: 99%

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Minimal Reduction of Unscheduled Flows for Security Restoration: Application to Phase Shifter Control

Marinakis

Glavić

Cutsem

2010

IEEE Trans. Power Syst.

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“…In the technical literature, there are few works addressing the ac-UC problem. Reference [14] proposes an approach based on Benders' decomposition to solve an ac network-constrained hydrothermal scheduling problem. A security-constrained ac-UC problem is proposed in [15], whose objective is to minimize the system's operating cost while maintaining appropriate security.…”

Section: B Literature Review and Contributionsmentioning

confidence: 99%

Network-Constrained AC Unit Commitment Under Uncertainty: A Benders’ Decomposition Approach

Nasri

Kazempour

Conejo

et al. 2016

IEEE Trans. Power Syst.

121

109

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Abstract-This paper proposes an efficient solution approach based on Benders' decomposition to solve a network-constrained ac unit commitment problem under uncertainty. The wind power production is the only source of uncertainty considered in this paper, which is modeled through a suitable set of scenarios. The proposed model is formulated as a two-stage stochastic programming problem, whose first-stage refers to the day-ahead market, and whose second-stage represents real-time operation. The proposed Benders' approach allows decomposing the original problem, which is mixed-integer nonlinear and generally intractable, into a mixed-integer linear master problem and a set of nonlinear, but continuous subproblems, one per scenario. In addition, to temporally decompose the proposed ac unit commitment problem, a heuristic technique is used to relax the inter-temporal ramping constraints of the generating units. Numerical results from a case study based on the IEEE one-area reliability test system (RTS) demonstrate the usefulness of the proposed approach.

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“…In the past decades, several conventional methods have been used to solve the classical HTS problem neglecting environment aspects such as dynamic programming (DP) [4], network flow programming (NFP) [5], Lagrange relaxation (LR) [6], and Benders decomposition [7] methods. Among these methods, the DP and LR methods are more popular ones.…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Short-Term Fixed Head Hydrothermal Scheduling Using Augmented Lagrange Hopfield Network

Nguyen¹,

Vo²

2014

Journal of Electrical Engineering and Technology

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-This paper proposes an augmented Lagrange Hopfield network (ALHN) based method for solving multi-objective short term fixed head hydrothermal scheduling problem. The main objective of the problem is to minimize both total power generation cost and emissions of NO x , SO 2 , and CO 2 over a scheduling period of one day while satisfying power balance, hydraulic, and generator operating limits constraints. The ALHN method is a combination of augmented Lagrange relaxation and continuous Hopfield neural network where the augmented Lagrange function is directly used as the energy function of the network. For implementation of the ALHN based method for solving the problem, ALHN is implemented for obtaining non-dominated solutions and fuzzy set theory is applied for obtaining the best compromise solution. The proposed method has been tested on different systems with different analyses and the obtained results have been compared to those from other methods available in the literature. The result comparisons have indicated that the proposed method is very efficient for solving the problem with good optimal solution and fast computational time. Therefore, the proposed ALHN can be a very favorable method for solving the multi-objective short term fixed head hydrothermal scheduling problems.

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Hydrothermal Scheduling Using Benders Decomposition: Accelerating Techniques

Cited by 77 publications

References 19 publications

Minimal Reduction of Unscheduled Flows for Security Restoration: Application to Phase Shifter Control

Minimal Reduction of Unscheduled Flows for Security Restoration: Application to Phase Shifter Control

Network-Constrained AC Unit Commitment Under Uncertainty: A Benders’ Decomposition Approach

Multi-Objective Short-Term Fixed Head Hydrothermal Scheduling Using Augmented Lagrange Hopfield Network

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