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August 19, 2026Energy SystemsOpen Access

Uncertainty-based market-clearing models: a comparative analysis based on the Dutch, French, and German systems

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Authors

JLJoran van der LooLSLina Silva-RodriguezASAnibal Sanjab

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Overview

Simulation study reveals that uncertainty-based market clearing improves economic welfare and reduces balancing needs in power grids, highlighting benefits for renewable energy integration.

Key Points

  • To compare deterministic, stochastic programming, and adaptive robust optimization market-clearing models for the co-optimization of energy and reserves under renewable generation uncertainty.
  • Evaluated deterministic, stochastic programming (SP), and adaptive robust optimization (ARO) market-clearing formulations using in-sample and out-of-sample analyses.
  • Conducted comparative case studies parameterized on the national power systems of the Netherlands, France, and Germany.
  • Carried out sensitivity analyses to examine the effects of sample size and optimization conservativeness parameters on clearing performance.
  • SP and ARO models enhanced socio-economic welfare (SEW) and substantially decreased the volume of balancing services required after day-ahead clearing compared to deterministic models.
  • Deterministic clearing resulted in the lowest SEW during periods of high forecasted variable renewable energy (VRES), whereas uncertainty-aware models yielded the greatest performance gains under high VRES penetration.
  • The trade-offs between socio-economic welfare, VRES utilization, and post-day-ahead balancing requirements depended on the specific power system structure and the chosen uncertainty framework.

Cite This Study

Loo et al. (2026) studied this question.

synapsesocial.com/papers/6a8563ae03308d306e2d7009https://doi.org/10.1007/s12667-026-00829-9
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