Transmission-constrained unit commitment based on Benders decomposition

Unit commitment (UC) is a popular problem in electric power system that aims at minimizing the total cost of power generation in a specific period, by defining an adequate scheduling of the generating units. The UC solution must respect many operational constraints. In the past half century, there was several researches treated the UC problem. Many works have proposed new formulations to the UC problem, others have offered several methodologies and techniques to solve the problem. This paper gives a literature review of UC problem, its mathematical formulation, methods for solving it and Different approaches developed for addressing renewable energy effects and uncertainties.

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“…[39] Interior Point Optimizatio n It converges rapidly towards the optimal solution. It deals nicely with parameter setting.…”

Section: Benders Decomposit Ionmentioning

confidence: 99%

Unit Commitment Problem in Electrical Power System: A Literature Review

Abdou

Tkiouat

2018

IJECE

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“…The model therefore only applies the prices for MBCM, c k,p . [24], is applied to decompose the original largescale optimization problem into the master congestion management (CM) problem and the NGS subproblem, based on the LP duality theory. The system operator executes the bid-based MBCM in the event of transmission congestions.…”

Section: Interdependency Of Eps and Ngsmentioning

confidence: 99%

Market-based congestion management in electric power systems with increased share of natural gas dependent power plants

Pantoš

2011

Energy

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“…We presented a transmission-constrained unit commitment in [12], which utilized Benders decomposition. However, the study did not consider voltage limits as part of generation scheduling.…”

Section: Security-constrained Unit Commitmentmentioning

confidence: 99%

Security-Constrained Unit Commitment With AC Constraints*

Shahidehpour

2005

IEEE Trans. Power Syst.

221

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In a restructured power market, the independent system operator (ISO) executes the security-constrained unit commitment (SCUC) program to plan a secure and economical hourly generation schedule for the day-ahead market. This paper introduces an efficient SCUC approach with ac constraints that obtains the minimum system operating cost while maintaining the security of power systems. The proposed approach applies the Benders decomposition for separating the unit commitment (UC) in the master problem from the network security check in subproblems. The master problem applies the augmented Lagrangian relaxation (LR) method and dynamic programming (DP) to solve UC. The subproblem checks ac network security constraints for the UC solution to determine whether a converged and secure ac power flow can be obtained. If any network violations arise, corresponding Benders cuts will be formed and added to the master problem for solving the next iteration of UC. The iterative process will continue until ac violations are eliminated and a converged optimal solution is found. In this paper, a six-bus system and the IEEE 118-bus system with 54 units are analyzed to exhibit the effectiveness of the proposed approach.

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Transmission-constrained unit commitment based on Benders decomposition

Cited by 71 publications

References 10 publications

Unit Commitment Problem in Electrical Power System: A Literature Review

Unit Commitment Problem in Electrical Power System: A Literature Review

Market-based congestion management in electric power systems with increased share of natural gas dependent power plants

Security-Constrained Unit Commitment With AC Constraints*

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