Deterministic Electricity Market Clearing Under Wind Power Forecast Uncertainty: A Sensitivity Analysis | IJET – Volume 12 Issue 2 | IJET-V12I2P177

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International Journal of Engineering and Techniques (IJET)

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Volume 12, Issue 2  |  Published: April 2026

Author: Sri K. Naresh, Dr. G.N.Srinivas

DOI: https://doi.org/{{doi}}  ā€¢  PDF: Download

Abstract

The accuracy of wind power forecasts is a crit- ical determinant of operational costs in electricity markets that employ Deterministic Market Clearing (DMC). This paper presents a comprehensive sensitivity analysis of a two-stage DMC framework—comprising a Day-Ahead (DA) scheduling stage and a Real-Time (RT) recourse stage—on a 6-bus power system with three conventional generators and two wind farms. Four distinct forecast cases, ranging from a perfect forecast to significant over- and under-predictions, are evaluated using Linear Programming implemented in GAMS. Numerical results demonstrate that total system costs range from $1,200 (perfect forecast) to $1,700 (severe over-forecast), revealing a 41.67% cost penalty for large forecast errors. The analysis of Nodal Marginal Prices (LMPs) and real- time generator adjustments provides insight into the economic signals generated under each forecast scenario, quantifying how forecast bias propagates into commitment decisions and recourse actions.

Keywords

Electricity markets, deterministic market clear- ing, wind forecast uncertainty, day-ahead scheduling, real-time recourse, locational marginal prices.

Conclusion

This paper presented a detailed sensitivity analysis of Deter- ministic Market Clearing under varying wind power forecasts on a 6-bus system. Four forecast scenarios—covering perfect prediction, moderate over-forecast, severe over-forecast, and under-forecast—were solved to optimality as two-stage Linear Programs implemented in GAMS. The principal conclusions are: 1)Forecast accuracy is the primary cost driver. Total costs range from $1,200 (perfect forecast) to $1,700 (se- vere over-forecast), a 41.67% spread attributable solely to forecast error. 2)Over-forecasting is more costly per unit of error than under-forecasting when upward ramp resources are scarce, as the system must activate progressively more expensive flexible units. 3)Ramp capacity, not generation capacity, is the bind- ing real-time resource. The zero-ramp generator i1 contributes no flexibility, concentrating the balancing burden on i2 and i3. 4)LMPs degenerate under under-forecast conditions, producing zero prices that fail to signal the true scarcity of committed resources—a structural limitation of the deterministic framework. These findings provide a quantitative motivation for invest- ing in improved wind forecasting and for considering the adoption of forecast ensemble methods or robust optimization frameworks that can hedge against forecast errors at the day- ahead stage, particularly in power systems with high wind penetration.

References

[1]A. Ben-Tal, L. El Ghaoui, and A. Nemirovski, Robust Optimization. Princeton University Press, 2009. [2]J. R. Birge and F. Louveaux, Introduction to Stochastic Programming, 2nd ed. Springer, 2011. [3]D. Bertsimas et al., ā€œAdaptive robust optimization for the security con- strained unit commitment problem,ā€ IEEE Trans. Power Syst., vol. 28, no. 1, pp. 52–63, 2013. [4]M. P. Vieira, A. C. P. Martins, E. M. Soler, A. R. Balbo, and L. Nepomu- ceno, ā€œTwo-stage robust market clearing procedure model for day-ahead energy and reserve auctions of wind–thermal systems,ā€ Renew. Energy, vol. 218, p. 119276, 2023. [5]P. Zou et al., ā€œCoordinated Energy–Reserve Market Clearing and Pricing Mechanism for Regional Power Systems with High Wind Penetration,ā€ Appl. Sci., vol. 16, no. 4, p. 2123, 2026. [6]P. Pinson and G. Kariniotakis, ā€œWind power forecasting and electricity markets,ā€ IEEE Power Energy Mag., vol. 14, no. 2, pp. 52–61, 2016. [7]J. Morales, A. Conejo, and J. PeĀ“rez-Ruiz, ā€œEconomic valuation of reserves in power systems with high penetration of wind power,ā€ IEEE Trans. Power Syst., vol. 24, no. 2, pp. 900–910, 2009. [8]R. Jiang, J. Wang, and Y. Guan, ā€œRobust unit commitment with wind power and pumped storage hydro,ā€ IEEE Trans. Power Syst., vol. 27, no. 2, pp. 800–810, 2012. [9]F. Bouffard and F. Galiana, ā€œStochastic security for operations planning with significant wind power generation,ā€ IEEE Trans. Power Syst., vol. 23, no. 2, pp. 306–316, 2008. [10]A. Papavasiliou and S. Oren, ā€œMultiarea stochastic unit commitment for high wind penetration in large-scale power systems,ā€ IEEE Trans. Power Syst., vol. 28, no. 4, pp. 4621–4632, 2013. [11]A. J. Conejo, M. CarrioĀ“n, and J. M. Morales, Decision Making Under Uncertainty in Electricity Markets. Springer, 2010.[12]Y. Zhang, S. Shen, and J. L. Mathieu, ā€œData-driven chance constrained stochastic program,ā€ Mathematical Programming, vol. 158, no. 1- 2,pp. 291–327, 2016. [13]H. Chen, ā€œStochastic Economic Dispatch based Optimal Market Clear- ing Strategy Considering Flexible Ramping Products Under Wind Power Uncertainties,ā€ IEEE Trans. Sustain. Energy, vol. 14, no. 2, pp. 845–857, 2023. [14]L. Werner, N. Christianson, A. Zocca, A. Wierman, and S. Low, ā€œPricing Uncertainty in Stochastic Multi-Stage Electricity Markets,ā€ in Proc. 62nd IEEE Conf. Decis. Control (CDC), 2023, pp. 1580–1587. [15]L. Ramirez-Burgueno et al., ā€œPricing Wind Power Uncertainty in the Electricity Market,ā€ IEEE Trans. Power Syst., vol. 38, no. 4, pp. 3210– 3222, 2023. [16]T. Tapia, ā€œElectricity Market-Clearing With Extreme Events,ā€ arXiv preprint arXiv:2408.03409, 2024. [17]AĀ“ . Garc“ıa-Cerezo et al., ā€œStrategic investment in electricity markets: Robust optimization versus stochastic programming,ā€ Eur. J. Oper. Res., vol. 315, no. 1, pp. 102–115, 2025. [18]N. S. Goteti et al., ā€œStochastic Capacity Expansion Model Accounting for Uncertainty in Electricity Markets with High Renewables,ā€ Energies, vol. 18, no. 5, p. 1283, 2025. [19]S. Lamichhane and A. Dubey, ā€œProgressive Hedging-Based Stochastic Economic Dispatch Under Wind, Solar, and Load Uncertainty,ā€ IEEE Trans. Power Syst., 2025, to be published. J. Huang et al., ā€œA Two-Stage Stochastic Programming Approach to Unit Commitment with Wind Power Integration: A Novel Pricing Scheme,ā€ Sustainability, vol. 18, no. 7, p. 3479, 2026.

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APA
Sri K. Naresh, Dr. G.N.Srinivas (April 2026). Deterministic Electricity Market Clearing Under Wind Power Forecast Uncertainty: A Sensitivity Analysis. International Journal of Engineering and Techniques (IJET), 12(2). https://doi.org/{{doi}}
Sri K. Naresh, Dr. G.N.Srinivas, ā€œDeterministic Electricity Market Clearing Under Wind Power Forecast Uncertainty: A Sensitivity Analysis,ā€ International Journal of Engineering and Techniques (IJET), vol. 12, no. 2, April 2026, doi: {{doi}}.
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