Mathematical Modeling for expansion and dispatch planning in modern energy systems ()
|Language of instruction||English|
Upon successful completion of the module the participants understand the fundamentals of unit commitment and expansion planning with help of optimization methods. Additionally, they can set up (non-)linear optimization problems in the application of energy system analysis (e.g. Optimal Power Flow). Mixed-integer formulations for unit commitment can be drawed and suitable solution algorithms can be applied and characterized.
Fundamental problems of unit commitment, expansion planning and optimal power flow, theoretical background for solving these problems: Nonlinear Optimization ((Un-)Constrained Optimization, Lagrange function), Lagrangian Duality (primal and dual problem, strong and weak duality), Graph theory, Mixed-Integer optimization (Fundamentals, Solution algorithms), Application of theory to typical problems of energy system analysis
Fundamentals of higher mathematics and physics, Modul EI7448 Modeling of energy systems
Teaching and learning methods
Typical problems of expansion and dispatch planning are discussed during the lecture. Concepts for solving these problems with using optimization theory are presented during the lecture and emphasized with help of examples. Solving the tutorial sheets the students learn the usage of typical problems. During the tutorial the solution steps are highlighted.
The exam will be written. The focus lies on arithmetic and math word problems to test the teached methods in the context of energy systems analysis.
Combinatorial Optimization: Theory and Algorithms, Bernhard Korte, Springer, 2012 http://dx.doi.org/10.1007/978-3-642-24488-9 Nonlinear and Mixed-Integer Optimization - Fundamentals and Application, Christodoulos Floudas, Oxford University Press, 1995