G. Ferrari-Trecate, E. Gallestey, P. Letizia, M. Spedicato, M. Morari, and M. Antoine. Modeling and control of co-generation power plants: A hybrid system approach. In C. J. Tomlin and M. R. Greenstreet, editors, Proc. 5th International Workshop on Hybrid Systems: Computation and Control , volume 2289 of Lecture Notes in Computer Science , pages 209--224. Springer-Verlag, 2002.
In this paper the optimization of a combined cycle power plant isaccomplished by exploiting hybrid systems, i.e. systems evolvingaccording to continuous dynamics, discrete dynamics, and logicrules. The possibility of turning on/off the gas and steamturbine, the operating constraints (minimum up and down times) andthe different types of start up of the turbines characterize thehybrid behavior of a combined cycle power plant. In order to modelboth the continuous/discrete dynamics and the switching betweendifferent operating conditions we use the framework of Mixed LogicDynamical systems. Next, we recast the economic optimizationproblem as a Model Predictive Control (MPC) problem, that allowsus to optimize the plant operations by taking into account thetime variability of both prices and electricity/steam demands.Because of the presence of integer variables, the MPC scheme isformulated as a mixed integer linear program that can be solved inan efficient way by using commercial solvers.