Transmission System Augmentation Based on the Concepts of Quantity Withheld and Monopoly Rent for Reducing Market Power

This paper proposes two mathematical structures for considering the market power effect of transmission capacity in transmission augmentation assessment. These mathematical structures use the concepts of monopoly rent and quantity withheld in economics for market power modeling in the assessment pro...

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Bibliographic Details
Published in:IEEE transactions on power systems 2010-02, Vol.25 (1), p.167-180
Main Authors: Hesamzadeh, M.R., Hosseinzadeh, N., Wolfs, P.J.
Format: Article
Language:English
Subjects:
Ad hoc networks
Applied mathematics
Assessment process
Assessments
Augmentation
Australia
Circuits
Commerce
Competition
Conferences
Electric power transmission
Game theory
Games
Generating companies
Genetic algorithms
Island parallel genetic algorithms
Lagrangian functions
Market power
Markets
Mathematical model
Mathematical models
Mathematical structure
Monopolies
Monopoly
Nash equilibria
Nash Equilibrium
Numerical analysis
Numerical solution
Optimization problems
Power generation economics
Power transmission lines
Solution concepts
Standard genetic algorithm
Studies
Telecommunication networks
Test systems
Transmission capacities
Transmission line matrix methods
Transmission line theory
Transmission networks
Transmission system augmentation
Transmission systems
Transmissions
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Summary:This paper proposes two mathematical structures for considering the market power effect of transmission capacity in transmission augmentation assessment. These mathematical structures use the concepts of monopoly rent and quantity withheld in economics for market power modeling in the assessment process of transmission augmentation. The simultaneous-move and sequential-move games in applied mathematics are used to model the interactions of the transmission network service provider, generating companies, and the market management company in the proposed mathematical structures. The solution concept of Nash equilibria is reformulated as an optimization problem, and the multiple Nash equilibria is tackled through an introduced concept termed worst Nash equilibrium. A numerical solution is developed to solve the proposed mathematical structures. The numerical solution is an island parallel genetic algorithm nested in a standard genetic algorithm. The six-bus Garver's example system and the IEEE 14-bus test system are modified and studied. The results prove the strong mechanism of the developed structures for modeling the market power effect of transmission capacity in the assessment of transmission augmentation.
ISSN:0885-8950
1558-0679
1558-0679
DOI:10.1109/TPWRS.2009.2036823