MATHEMATICAL MODEL OF THE EQUILIBRIUM STATE OF THE NEW COMPETITIVE ELECTRICITY MARKET OF UKRAINE

S.Ye. Saukh

Èlektron. model. 2017, 39(6):03-14
https://doi.org/10.15407/emodel.39.06.003

ABSTRACT

A mathematical model of the equilibrium state of the new liberalized electricity market of Ukraine is proposed. The model is presented in the form of a system of nonlinear optimization problems, which adequately reflects the goals and conditions of activity of key market participants such as generating companies, transmission system operator, distribution system operators, trader, suppliers and end-users. The model establishes interrelations between such prices for electric energy in regional energy units and such volumes of production, transmission, distribution and consumption of electricity, under which the performance of each market participant is most closely related to its own purposes. The model allows you to analyze the market conditions,
achieved with different scenarios of the behavior of its participants.

KEYWORDS

model, market, equilibrium, price, tariff, electric power, network, optimization problems.

REFERENCES

1. The Law of Ukraine dated April 13, 2017 No. 2019-VIII “About the Electricity Market of Ukraine”.
2. Wei, J.-Y. and Smeers, Y. (1999), “Spatial oligopolistic electricity models with cournot generators and regulated transmission prices”, Operations Research,Vol. 47, no. 1, pp. 102-112.
https://doi.org/10.1287/opre.47.1.102
3. Hobbs, B.F. (2001), “Linear complementarity models of Nash–Cournot competition in bilateral and POOLCO power markets”, IEEE Transactions on Power Systems, Vol. 16, no. 2, pp. 194-202.
https://doi.org/10.1109/59.918286
4. Day, C.J., Hobbs, B.F. and Pang, J.-S. (2002), “Oligopolistic competition in power networks: A conjectured supply function approach”, IEEE Transactions on Power Systems, Vol. 17, no. 3, pp. 597-607.
https://doi.org/10.1109/TPWRS.2002.800900
5. Murphy, F. and Smeers, Y. (2005), “Generation capacity expansion in imperfectly competitive restructured electricity markets”, Operations Research, Vol. 53, no. 4, pp. 646-661.
https://doi.org/10.1287/opre.1050.0211
6. Saukh, S.Ye. (2016), “Competitive equilibrium electricity market model with improved adequacy of mathematical description of the generating companies, the system operator and the electrical network”, Elektronnoe modelirovanie, Vol. 38, no. 4, pp. 49-64.
7. Hobbs, B.F., Drayton, G., Fisher, E.B. and Lise, W. (2008), “Improved transmission representations in oligopolistic market models: Quadratic losses, phase shifters, and DC lines”, IEEE Transactions on Power Systems, Vol. 23, no. 3, pp. 1018-1029.
https://doi.org/10.1109/TPWRS.2008.926451
8. Schweppe, F.C., Caramanis, M.C., Tabors, R.E. and Bohn, R.E. (1988), Spot pricing of electricity, Kluwer Academic Publishers, Boston, USA.
9. Saukh, S.Ye. (2013), “Methods of computer simulation of competitive equilibrium in electricity markets”, Elektronnoe modelirovanie, Vol. 35, no. 5, pp. 11-26.
10. Saukh, S.Ye. (2015), “Method of shearing matrix elements of the Clarke’s generalized Jacobian for providing numerical stability of the quasi-Newton methods of solving of the variational inequalities problems”, Elektronnoe modelirovanie, Vol. 37, no. 4, pp. 3-18.

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