An accurate representation of water delay times for cascaded reservoirs in hydro scheduling problems

Representation of cascaded reservoirs is an important feature in hydrothermal scheduling problems. In particular, consideration of water delay times may be a challenging aspect, due to the large time lags involved into the spatial and time-coupling water conservation constraints. In the literature, such water delay times are usually considered as constant values or even neglected. In this paper, we propose a linear model for the consideration of streamflow routing along the river channels, so that different water delay times may be considered simultaneously between each pair of hydro plants, one for each portion of the total outflow of the upstream plant. In the proposed approach, additional terms for a set of previous time steps are included in the water conservation constraints, whose participation factors are obtained based on streamflow routing curves and on the time discretization considered in the problem. Results are presented for a short term planning problem with a 1 week horizon.

[1]  J. Waight,et al.  Experiences with Mixed Integer Linear Programming-Based Approaches in Short-Term Hydro Scheduling , 2001, IEEE Power Engineering Review.

[2]  M.E.P. Maceira,et al.  A Four-Dimensional Model of Hydro Generation for the Short-Term Hydrothermal Dispatch Problem Considering Head and Spillage Effects , 2008, IEEE Transactions on Power Systems.

[3]  Javier Contreras,et al.  Optimal Scheduling of a Price-Taker Cascaded Reservoir System in a Pool-Based Electricity Market , 2011, IEEE Transactions on Power Systems.

[4]  A. Diniz,et al.  A New Multiperiod Stage Definition for the Multistage Benders Decomposition Approach Applied to Hydrothermal Scheduling , 2009, IEEE Transactions on Power Systems.

[5]  S. M. Shahidehpour,et al.  Hydro-thermal, scheduling by tabu search and decomposition method , 1996 .

[6]  J. Garcia-Gonzalez,et al.  Short-term hydro scheduling with cascaded and head-dependent reservoirs based on mixed-integer linear programming , 2001, 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502).

[7]  Wilfried Brutsaert,et al.  Hydrology: An Introduction , 2005 .

[8]  Y. Tung.  River flood routing by nonlinear muskingum method , 1985 .

[9]  Yongchuan Zhang,et al.  Short-Term Optimal Operation of Hydropower Reservoirs with Unit Commitment and Navigation , 2012 .

[10]  C.E. Zoumas,et al.  A genetic algorithm solution approach to the hydrothermal coordination problem , 2004, IEEE Transactions on Power Systems.

[11]  Xiaohong Guan,et al.  Scheduling hydrothermal power systems with cascaded and head-dependent reservoirs , 1999 .

[12]  Paulo S. F. Barbosa,et al.  MULTIOBJECTIVE REAL-TIME RESERVOIR OPERATION WITH A NETWORK FLOW ALGORITHM1 , 2001 .

[13]  M.E.P. Maceira,et al.  Short Term Security Constrained Hydrothermal Scheduling Considering Transmission Losses , 2006, 2006 IEEE/PES Transmission & Distribution Conference and Exposition: Latin America.

[14]  S. Al-Agtash,et al.  Hydrothermal Scheduling by Augmented Lagrangian: Consideration of Transmission Constraints and Pumped-Storage Units , 2001, IEEE Power Engineering Review.

[15]  O. Nilsson,et al.  Variable splitting applied to modelling of start-up costs in short term hydro generation scheduling , 1997 .

[16]  A. Gjelsvik,et al.  Generation scheduling in a deregulated system. The Norwegian case , 1999 .

[17]  M.V.F. Pereira,et al.  Stochastic optimization of transmission constrained and large scale hydrothermal systems in a competitive framework , 2003, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[18]  A. Borghetti,et al.  An MILP Approach for Short-Term Hydro Scheduling and Unit Commitment With Head-Dependent Reservoir , 2008, IEEE Transactions on Power Systems.

[19]  Ismail I. Esen,et al.  Approximate Methods for the Estimation of Muskingum Flood Routing Parameters , 2006 .

[20]  E.L. da Silva,et al.  Solving the hydro unit commitment problem via dual decomposition and sequential quadratic programming , 2006, IEEE Transactions on Power Systems.

[21]  R. Frowd,et al.  A coordinated approach for real-time short term hydro scheduling , 1996 .

[22]  Hugh Rudnick,et al.  Short-term hydrothermal generation scheduling model using a genetic algorithm , 2003 .

[23]  Takaaki Ohishi,et al.  A short term hydrothermal scheduling approach for dominantly hydro systems , 1991 .

[24]  Henrik Madsen,et al.  A Real-Time Inflow Forecasting and Reservoir Optimization System for Optimizing Hydropower Production , 2009 .

[25]  Z. K. Shawwash,et al.  The B.C. Hydro short term hydro scheduling optimization model , 1999 .

[26]  R. Chakrabarti,et al.  Short-term hydrothermal scheduling using clonal selection algorithm , 2011 .

[27]  Joao P. S. Catalao,et al.  Scheduling of head-dependent cascaded reservoirs considering discharge ramping constraints and start/stop of units , 2010 .