Variable splitting applied to modelling of start-up costs in short term hydro generation scheduling

Hydro unit commitment and loading problem for day-ahead operation planning problem

“…Li et al [12] represent hydropower as a piecewise quadratic function of the discharge, while Guan et al [13] adopt a single quadratic function. Nilsson and Sjelvgren [14] represent this model in terms of most efficient points, while Conejo et al [15] model it by means of piecewise linear functions. Diniz [16] and Borghetti [17] present models that take into account the head effects on power production and use a linearization technique for represent the hydropower function in the problem.…”

Three utilization patterns of the renovated Moste hydro power plant on an electricity market of power and ancillary services

“…On the other hand, some other Refs. [6,7,9,10] still find the optimum solution by exploiting the problem structure, thus yielding shorter solution times which is particularly important when considering extremely large systems. In this case one considers the Lagrangian function; by using the Benders cut decomposition technique the original problem is transformed into two separate but linked programs: the master and the subproblem, [6].…”

Optimizing profits from hydroelectricity production

“…The river routing coefficients thus generalize upon a single water flow time, as it is found in numerous applications (see, for example, [6,7,35]). …”