Short-Term Reservoir Optimization for Flood Mitigation under Meteorological and Hydrological Forecast Uncertainty

State-of-the-art applications of short-term reservoir management integrate several advanced components, namely hydrological modelling and data assimilation techniques for predicting streamflow, optimization-based techniques for decision-making on the reservoir operation and the technical framework for integrating these components with data feeds from gauging networks, remote sensing data and meteorological weather predictions. In this paper, we present such a framework for the short-term management of reservoirs operated by the Companhia Energética de Minas Gerais S.A. (CEMIG) in the Brazilian state of Minas Gerais. Our focus is the Três Marias hydropower reservoir in the São Francisco River with a drainage area of approximately 55,000 km and its operation for flood mitigation. Basis for the anticipatory short-term management of the reservoir over a forecast horizon of up to 15 days are streamflow predictions of the MGB hydrological model. The semi-distributed model is well suited to represent the watershed and shows a Nash-Sutcliffe model performance in the order of 0.83-0.90 for most streamflow gauges of the data-sparse basin. A lead time performance assessment of the deterministic and probabilistic ECMWF forecasts as model forcing indicate the superiority of the probabilistic model. The novel short-term optimization approach consists of the reduction of the ensemble forecasts into scenario trees as an input of a multi-stage stochastic optimization. We show that this approach has several advantages over commonly used deterministic methods which neglect forecast uncertainty in the short-term decision-making. First, the probabilistic forecasts have longer forecast horizons that allow an earlier and therefore better anticipation of critical flood events. Second, the stochastic optimization leads to more robust decisions than deterministic procedures which consider only a single future trajectory. Third, the stochastic optimization permits to introduce advanced chance constraints for refining the system operation.

[1]  S. Calmant,et al.  Large‐scale hydrologic and hydrodynamic modeling of the Amazon River basin , 2013 .

[2]  Ximing Cai,et al.  Effect of streamflow forecast uncertainty on real-time reservoir operation , 2010 .

[3]  W. Briggs Statistical Methods in the Atmospheric Sciences , 2007 .

[4]  P. J. Van Overloop,et al.  Model Predictive Control on Open Water Systems , 2006 .

[5]  Dirk Schwanenberg,et al.  Short-term management of hydropower assets of the Federal Columbia River Power System , 2014 .

[6]  Dirk Schwanenberg,et al.  The open real-time control (RTC)-Tools software framework for modeling RTC in water resources sytems , 2015 .

[7]  Dirk Schwanenberg,et al.  Tree structure generation from ensemble forecasts for real time control , 2013 .

[8]  Victor M. Zavala,et al.  On-line economic optimization of energy systems using weather forecast information. , 2009 .

[9]  Jitka Dupacová,et al.  Scenario reduction in stochastic programming , 2003, Math. Program..

[10]  Jay H. Lee,et al.  Model predictive control: past, present and future , 1999 .

[11]  W. Collischonn,et al.  The MGB-IPH model for large-scale rainfall—runoff modelling , 2007 .

[12]  A. Garulli,et al.  Robustness in Identification and Control , 1989 .

[13]  Kristina Sutiene,et al.  Multistage K-Means Clustering for Scenario Tree Construction , 2010, Informatica.

[14]  S. Jaun,et al.  Evaluation of a probabilistic hydrometeorological forecast system. , 2009 .

[15]  H. Hersbach Decomposition of the Continuous Ranked Probability Score for Ensemble Prediction Systems , 2000 .

[16]  Denis Tremblay,et al.  Hydro-economic assessment of hydrological forecasting systems , 2012 .

[17]  Dirk Schwanenberg,et al.  REAL-TIME MODELING FOR NAVIGATION AND HYDROPOWER IN THE RIVER MOSEL , 2000 .

[18]  I. Jolliffe,et al.  Forecast verification : a practitioner's guide in atmospheric science , 2011 .

[19]  Alberto Bemporad,et al.  Robustness in Identification and Control , 1999 .

[20]  N. Growe-Kuska,et al.  Scenario reduction and scenario tree construction for power management problems , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[21]  Florian Pappenberger,et al.  Do probabilistic forecasts lead to better decisions , 2012 .

[23]  Mats Hamrud,et al.  The new ECMWF VAREPS (Variable Resolution Ensemble Prediction System) , 2007 .

[24]  F. Molteni,et al.  The ECMWF Ensemble Prediction System: Methodology and validation , 1996 .

[25]  Denis Tremblay,et al.  A comparison between ensemble and deterministic hydrological forecasts in an operational context , 2011 .

[26]  R. Buizza,et al.  A Comparison of the ECMWF, MSC, and NCEP Global Ensemble Prediction Systems , 2005 .

[27]  François Anctil,et al.  An evaluation of the Canadian global meteorological ensemble prediction system for short-term hydrological forecasting , 2009 .

[28]  E. Sprokkereef,et al.  Verification of ensemble flow forecasts for the River Rhine , 2009 .

[29]  Alain Pietroniro,et al.  Grouped Response Units for Distributed Hydrologic Modeling , 1993 .

[30]  W. Collischonn,et al.  Forecasting River Uruguay flow using rainfall forecasts from a regional weather-prediction model , 2005 .

[31]  Moritz Diehl,et al.  Real-Time Optimization for Large Scale Nonlinear Processes , 2001 .

[32]  R. Stull,et al.  Hydrometeorological Short-Range Ensemble Forecasts in Complex Terrain. Part I: Meteorological Evaluation , 2008 .

[33]  Yuqiong Liu,et al.  The Ensemble Verification System (EVS): A software tool for verifying ensemble forecasts of hydrometeorological and hydrologic variables at discrete locations , 2010, Environ. Model. Softw..

[34]  Alberto Bemporad,et al.  Robust model predictive control: A survey , 1998, Robustness in Identification and Control.

[35]  Florian Pappenberger,et al.  Ensemble flood forecasting: a review. , 2009 .

[36]  Guus S. Stelling,et al.  A staggered conservative scheme for every Froude number in rapidly varied shallow water flows , 2003 .

[37]  A. Allen Bradley,et al.  Summary Verification Measures and Their Interpretation for Ensemble Forecasts , 2011 .

[38]  Craig H. Bishop,et al.  The THORPEX Interactive Grand Global Ensemble , 2010 .