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Risk-aware stochastic MPC for optimal dispatch in concentrating solar power plants under irradiance uncertainty

Autores

VELARDE RUEDA, PABLO ANIBAL, FERNANDEZ CAMACHO, EDUARDO

Publicación externa

No

Medio

Renew. Energ. Focus

Alcance

Article

Naturaleza

Científica

Cuartil JCR

1

Cuartil SJR

2

Fecha de publicacion

25/07/2026

ISI

001836067900001

Scopus Id

2-s2.0-105045595145

Abstract

The economic dispatch of concentrating solar power plants with thermal energy storage is strongly affected by uncertainty in irradiance forecasts. This paper proposes a risk-aware stochastic model predictive control (RA-MPC) strategy that combines expected operating cost with the Conditional Value-at-Risk (CVaR) of a composite operational index accounting for economic loss, dispatch deficit, low-storage exposure, and solar curtailment. Using linear auxiliary inequalities and the Rockafellar–Uryasev reformulation, the resulting receding-horizon problem is formulated as a convex quadratic program. Under the affine plant model, removing the CVaR term makes the optimal control sequence scenario-independent; the risk term thus breaks this degeneracy and enables forecast uncertainty to influence dispatch. The controller is evaluated on a 50 MW parabolic-trough plant with 300 MWh of thermal storage and benchmarked against deterministic MPC, scenario-based stochastic MPC, rule-based control, and robust minimax MPC. On six representative days, RA-MPC reduces the CVaR index by 27.4% and the dispatch deficit by 28.3% relative to the non-risk-aware stochastic MPC baseline. Over a 365-day campaign, it increases mean daily revenue by 32.6% (38.01 versus 28.67 kEUR/day), reduces dispatch deficit by 23.9%, and achieves 100% hierarchical solver feasibility. In a continuous 30-day stress test, RA-MPC limits the number of days ending below the 60 MWh terminal-reserve threshold to 3, compared with 11–21 days for the rule-based and minimax baselines. These results demonstrate that explicit tail-risk management can improve both economic performance and operational reliability in renewable generation with storage. © 2026 Elsevier Ltd

Palabras clave

Electric load dispatching; Heat storage; Losses; Optimal control systems; Risk assessment; Risk management; Risk perception; Solar energy; Solar irradiance; Stochastic control systems; Stochastic systems; Concentrating solar; Conditional Value-at-Risk; Model-predictive control; Power; Risk aware; Risk-aware control; Stochastic model predictive controls; Stochastic optimizations; Stochastics; Thermal energy storage; Stochastic models