Geodesic
The analysis of the behavior of generators in the two-level market model of functioning of the EPS
The Bulletin of Irkutsk State University. Series Mathematics, Tome 16 (2016), pp. 43-57 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Electricity market model of interaction between producers (Generation Companies — GC) and System Operator (SO) is considered. We analyze the situation when power producers try to increase their profit distorting their technical parameters. SO solves a generation scheduling problem, minimizing total costs of electricity generation and calculating the nodal prices (dual variables) on the basis of technical parameters of the power plants provided by the producers. The problem is considered in two-level statement. The upper level corresponds to GC which try to increase their profit. The lower level corresponds to SO which solves the generation scheduling problem. SO takes into account technical parameters derived from GC. We study properties of the objective function of the upper level and investigate the existence of the Nash equilibrium. Numerical example for a simple electrical power system is presented. In this example we show how the GC increase profit distorting technical parameters.
Keywords: Electric Power System (EPS), manipulation costs, noncooperative multiperson game, Nash equilibrium, bilevel programming. 
@article{IIGUM_2016_16_a3,
     author = {N. V. Dresvyanskaya},
     title = {The analysis of the behavior of generators in the two-level market model of functioning of the {EPS}},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {43--57},
     year = {2016},
     volume = {16},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2016_16_a3/}
}
TY  - JOUR
AU  - N. V. Dresvyanskaya
TI  - The analysis of the behavior of generators in the two-level market model of functioning of the EPS
JO  - The Bulletin of Irkutsk State University. Series Mathematics
PY  - 2016
SP  - 43
EP  - 57
VL  - 16
UR  - http://geodesic.mathdoc.fr/item/IIGUM_2016_16_a3/
LA  - ru
ID  - IIGUM_2016_16_a3
ER  - 
%0 Journal Article
%A N. V. Dresvyanskaya
%T The analysis of the behavior of generators in the two-level market model of functioning of the EPS
%J The Bulletin of Irkutsk State University. Series Mathematics
%D 2016
%P 43-57
%V 16
%U http://geodesic.mathdoc.fr/item/IIGUM_2016_16_a3/
%G ru
%F IIGUM_2016_16_a3
N. V. Dresvyanskaya. The analysis of the behavior of generators in the two-level market model of functioning of the EPS. The Bulletin of Irkutsk State University. Series Mathematics, Tome 16 (2016), pp. 43-57. http://geodesic.mathdoc.fr/item/IIGUM_2016_16_a3/

[1] Kahaner D., Moler C., Nash S., Numerical Methods and Software, Prentice Hall, 1989, 504 pp. | Zbl

[2] Nechaev I. A., “Power plant generation scheduling in the wholesale electricity market environment”, Izvestiya Akademii Nauk. Energetika, 2011, no. 6, 71–84 (in Russian) | MR

[3] Nikaido H., Isoda K., “Note on Noncooperative Convex Games”, Pacific Journal of Mathematics, 5:5 (1955), 807–815 | DOI | MR

[4] Palamarchuk S. I., “Bilateral contract scheduling for electricity delivery in the competitive wholesale market”, Izvestiya Akademii Nauk. Energetika, 2011, no. 2, 77–91 (in Russian) | MR

[5] Stennikov V. A., Khamisov O. V., Pen'kovskii A. V., “Optimizing the heat market on the basis of a two-level approach”, Thermal Engineering, 58:12 (2011), 1043–1048 | DOI | MR

[6] J. F. Bard, Practical Bilevel Optimization, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1998, 488 pp. | MR | Zbl

[7] S. Dempe, Foundations of Bilevel Programming, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2002, 320 pp. | MR | Zbl

[8] D. Monderer, L. S. Shapley, “Potential Games”, Games and Economic Behavior, 14:1 (1996), 124–143 | DOI | MR | Zbl