Computation of Extremal-Nash Equilibria in a Wholesale Power Market Using a Single-Stage MILP

Hesamzadeh, Mohammad Reza; Biggar, Darryl R.

doi:10.1109/tpwrs.2012.2187120

Cited by 36 publications

(28 citation statements)

References 3 publications

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“…However, since each Genco is modeled as a MILP, the KKT conditions do not exist. To overcome this issue, we use the fact that each Genco can select its optimal expansion capacity from a finite set of choices [16], [37]. At the optimal solution,p g , we have…”

Section: Aximizementioning

confidence: 99%

Sequential Coordination of Transmission Expansion Planning With Strategic Generation Investments

Tohidi

Hesamzadeh

Regairaz

2017

IEEE Trans. Power Syst.

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Abstract-This paper proposes mathematical models for sequential coordination of transmission expansion planning with strategic generation investments. The proactive and reactive coordinations are modeled and studied. The interaction between transmission company (Transco) and strategic generation companies (Gencos) is modeled using the sequential-move game. This is while the interaction between the strategic Gencos is modeled as a simultaneous-move game. In the proactive coordination, the Transco expands its future transmission capacities taking into account the strategic investments by Gencos. In the reactive coordination, strategic Gencos move first and expand their future generation capacities and then Transco expands the transmission capacity. The proactive coordination is modeled as a mixedinteger bilevel linear program (MIBLP) and the reactive coordination is modeled as a mixed-integer linear program (MILP). The MIBLP has binary variables in both upper and lower levels. The Moore-Bard algorithm is parallelized and used to solve the MIBLP. The mathematical models and the parallelized MooreBard algorithm are tested on 3-bus and 6-bus example systems and the modified IEEE-RTS96. Also, the IEEE 118-bus test system is studied using a heuristic version of the Moore-Bard algorithm.

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Section: Aximizementioning

confidence: 99%

Sequential Coordination of Transmission Expansion Planning With Strategic Generation Investments

Tohidi

Hesamzadeh

Regairaz

2017

IEEE Trans. Power Syst.

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“…2) Interaction of SGPs: The Extremal-Nash Equilibrium (ENE) concept is employed in this paper to model the system market power, [46], [47]. The ENE formulation is a twolevel optimization problem.…”

Section: A Efficient Planning Of Generation and Transmissionmentioning

confidence: 99%

Coordination of Generation and Transmission Development Through Generation Transmission Charges—A Game Theoretical Approach

Tohidi

Olmos

Rivier

et al. 2017

IEEE Trans. Power Syst.

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“…For modeling, the target model of related source is divided into coherent source model and partial correlation source model [20].…”

Section: A Coherent Source Of Target Location Recognitionmentioning

confidence: 99%

“…In this paper, the traditional one-dimensional MUSIC method is extended to two-dimensional MUSIC method, realizing the joint estimation of the near field source distance and azimuth angle two-dimensional parameters of the ship far small infrared targets [23]. According to above geometry model of coherent distribution of ship target and the basic assumption of parameter estimation, the covariance matrix x R of observation signal is defined as: (20) Among them, x R is the H matrix. The rank is N .…”

Section: Beamforming Of Music Algorithm and Target Echo Improvement Omentioning

confidence: 99%

Application of Computer Identification and Location Algorithm in Small far Infrared Target Recognition of Ship Under Surge Interference

Zhu

2017

Polish Maritime Research

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Computation of Extremal-Nash Equilibria in a Wholesale Power Market Using a Single-Stage MILP

Cited by 36 publications

References 3 publications

Sequential Coordination of Transmission Expansion Planning With Strategic Generation Investments

Sequential Coordination of Transmission Expansion Planning With Strategic Generation Investments

Coordination of Generation and Transmission Development Through Generation Transmission Charges—A Game Theoretical Approach

Application of Computer Identification and Location Algorithm in Small far Infrared Target Recognition of Ship Under Surge Interference

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