Mathmatical Modeling for expansion and dispatch planning in modern energy systems
Module EI7468
This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
Module version of WS 2016/7 (current)
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
| available module versions | |
|---|---|
| WS 2016/7 | WS 2015/6 |
Basic Information
EI7468 is a semester module in German language at Master’s level which is offered in winter semester.
This module description is valid from WS 2015/6 to SS 2021.
| Total workload | Contact hours | Credits (ECTS) |
|---|---|---|
| 150 h | 60 h | 5 CP |
Content, Learning Outcome and Preconditions
Content
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
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
Learning Outcome
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.
Preconditions
Fundamentals of higher mathematics and physics,
Modul EI7448 Modeling of energy systems
Modul EI7448 Modeling of energy systems
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
| Type | SWS | Title | Lecturer(s) | Dates | Links |
|---|---|---|---|---|---|
| VU | 4 | Mathematical Modeling for expansion and dispatch planning in modern energy systems |
eLearning |
Learning and Teaching 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.
Media
Slides, blackboard, tutorial sheets
Literature
Linear Programming and Network Flows; M. Bazaraa, J. Jarvis, H. Sherali; Third Edition; 2011; http://dx.doi.org/10.1002/9780471703778
A Textbook of Graph Theory; R. Balakrishnan, K. Ranganathan; 2012; http://dx.doi.org/10.1007/978-1-4614-4529-6
Integer Programming; M. Conforti, G. Cornuéjols, G. Zambelli; 2014; http://dx.doi.org/10.1007/978-3-319-11008-0
A Textbook of Graph Theory; R. Balakrishnan, K. Ranganathan; 2012; http://dx.doi.org/10.1007/978-1-4614-4529-6
Integer Programming; M. Conforti, G. Cornuéjols, G. Zambelli; 2014; http://dx.doi.org/10.1007/978-3-319-11008-0