Adaptive optimization model based on supply function equilibrium in modern power markets

Document Type : Research Paper

Authors

1 Faculty of Industrial Engineering and Management Systems, Amirkabir University of Technology, Tehran, Iran

2 School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran

Abstract

In this paper, an adaptive optimization model based on a closed-loop control system is developed to regulate the strategic bidding process of generation companies (GenCOs) in day-ahead electricity markets. Each day, the bidding problem of each GenCO is submitted in the form of a supply function consisting of 24 sub-problems, one for each hour of the next day. The hourly market clearing price and the total demand of the next day are the unknown values in the bidding problem that should be estimated by the concerned GenCO. The GenCOs, as the main players in the market, receive feedback signals for market clearing price and demand for each hour of the previous day, based on which they set their bidding for the next day. In the optimization model, the limitations on the production level and production change rate are considered in terms of the minimum and maximum quantities constraints. To better adapt to the market demand and price dynamics beforehand, we also used an adaptive forecasting algorithm for the next day's demand and clearing price. Using this adaptive dynamic model, the network operator can clear the market based on the bids received from the GenCOs and the consumers. As we concentrated on the GenCO side, as the most influential player of electricity markets, the bids from the demand side are considered here as a whole and modeled by a linear function. Finally, the real market data from the day-ahead Nordic electricity market (Nord Pool) are used as the case study to verify the effectiveness of the proposed model and its adaptive algorithm. The results show that the GenCO that uses the proposed model can gain more profit in comparison to those that take non-strategic behavior (naive strategy) in the market.

Keywords

Main Subjects


Abapour, S., Mohammadi-Ivatloo, B., & Hagh, M. T. (2020). A Bayesian game theoretic based bidding strategy for demand response aggregators in electricity markets. Sustainable Cities and Society, 54, 101787.
Amelin, M. (2004). On Monte Carlo simulation and analysis of electricity markets (Doctoral dissertation, KTH).
Baldick, R., Grant, R., & Kahn, E. (2004). Theory and application of linear supply function equilibrium in electricity markets. Journal of regulatory economics, 25(2), 143-167.
Bunn, D. W., Martoccia, M., Ochoa, P., Kim, H., Ahn, N. S., & Yoon, Y. B. (2010). Vertical integration and market power: A model-based analysis of restructuring in the Korean electricity market. Energy Policy, 38(7), 3710-3716.
de la Torre, S., Arroyo, J. M., Conejo, A. J., & Contreras, J. (2002). Price maker self-scheduling in a pool-based electricity market: a mixed-integer LP approach. IEEE Transactions on Power Systems, 17(4), 1037-1042.
Fleten, S. E., & Kristoffersen, T. K. (2007). Stochastic programming for optimizing bidding strategies of a Nordic hydropower producer. European Journal of Operational Research, 181(2), 916-928.
Gao, F., & Sheble, G. B. (2010). Electricity market equilibrium model with resource constraint and transmission congestion. Electric Power Systems Research, 80(1), 9-18.
Green, R. J., & Newbery, D. M. (1992). Competition in the British electricity spot market. Journal of political economy, 100(5), 929-953.
Gross, G., Finlay, D. J., & Deltas, G. (1999, January). Strategic bidding in electricity generation supply markets. In IEEE Power Engineering Society. 1999 Winter Meeting (Cat. No. 99CH36233) (Vol. 1, pp. 309-315). IEEE.
Guo, N., Wang, Y., & Yan, G. (2021). A double-sided non-cooperative game in electricity market with demand response and parameterization of supply functions. International Journal of Electrical Power & Energy Systems, 126, 106565.
Hayes, M. H. (2009). Statistical digital signal processing and modeling. John Wiley & Sons.
Liu, Y. (2006). Network and temporal effects on strategic bidding in electricity markets. HKU Theses Online (HKUTO).
Klemperer, P. D., & Meyer, M. A. (1989). Supply function equilibria in oligopoly under uncertainty. Econometrica: Journal of the Econometric Society, 1243-1277.
Li, T., & Shahidehpour, M. (2005). Strategic bidding of transmission-constrained GENCOs with incomplete information. IEEE Transactions on power Systems, 20(1), 437-447.
Naghibi-Sistani, M. B., Akbarzadeh-Tootoonchi, M. R., Bayaz, M. J. D., & Rajabi-Mashhadi, H. (2006). Application of Q-learning with temperature variation for bidding strategies in market-based power systems. Energy Conversion and Management, 47(11-12), 1529-1538.
Ocaña, C., & Romero, A. (1998). A simulation of the Spanish electricity pool. Comision Nacional del Sistema Electrico, Madrid WP DT, 5, 98.
Rahimiyan, M., & Mashhadi, H. R. (2007). Risk analysis of bidding strategies in an electricity pay as bid auction: A new theorem. Energy conversion and management, 48(1), 131-137.
Sheblé, G. B. (2001). Economically destabilizing electric power markets for profit. In 2001 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No. 01CH37194) (Vol. 1, pp. 50-54). IEEE.
Schweppe, F. C. (1988). Management of a spot price based energy marketplace. Energy policy, 16(4), 359-368.
Shahidehpour, M., Yamin, H., & Li, Z. (2003). Market operations in electric power systems: forecasting, scheduling, and risk management. John Wiley & Sons.
Sharifi, R., Anvari-Moghaddam, A., Fathi, S. H., & Vahidinasab, V. (2020). A bi-level model for strategic bidding of a price-maker retailer with flexible demands in day-ahead electricity market. International Journal of Electrical Power & Energy Systems, 121, 106065.
Sen, S., Yu, L., & Genc, T. (2006). A stochastic programming approach to power portfolio optimization. Operations Research, 54(1), 55-72.
Song, Y., Ni, Y., Wen, F., Hou, Z., & Wu, F. F. (2003). Conjectural variation based bidding strategy in spot markets: fundamentals and comparison with classical game theoretical bidding strategies. Electric Power Systems Research, 67(1), 45-51.
Teufel, F., Miller, M., Genoese, M., & Fichtner, W. (2013). Review of System Dynamics models for electricity market simulations (No. 2). Working paper series in production and energy.
Ventosa, M., Baıllo, A., Ramos, A., & Rivier, M. (2005). Electricity market modeling trends. Energy policy, 33(7), 897-913.
Wang, J., Wu, J., & Che, Y. (2019). Agent and system dynamics-based hybrid modeling and simulation for multilateral bidding in electricity market. Energy, 180, 444-456.
Wen, F., & David, A. K. (2001). Optimal bidding strategies and modeling of imperfect information among competitive generators. IEEE transactions on power systems, 16(1), 15-21.
Younes, Z., & Ilic, M. (1999). Generation strategies for gaming transmission constraints: will the deregulated electric power market be an oligopoly?. Decision support systems, 24(3-4), 207-222.