The objective of this course is to introduce the students to the fundamentals of energy system modelling. With focus on a sustainable energy system, we consider various energy technologies; with particular emphasis on renewable energy sources, such as wind turbines. We aim to formulate simple models of power systems with wind turbines and to analyse how such renewable energy sources can influence and contribute to the frequency control of the power system. We aspire to analyse the operation, control and design of the system in terms of sustainability, reliability and economic efficiency. To address such challenges, an important part of the course is devoted to theory and practice of modelling, optimization and simulation. The idea is that the students will learn to carry out the whole process of identifying a problem, formulating a model, preparing data, implementing the model and analysing the results on their own (this will partly be achieved by working in groups on a project which focuses on a specific design issue at the end of the course).

• Create a mathematical formulation of a simple dynamic simulation model of the frequency control loop in an electrical power system with wind power
• Describe basic dynamic models for generators, loads, governors as well as for wind turbines
• Implement and analyse dynamic simulation models using Matlab, Simulink software
• List the technical challenges involved in reliable and economically efficient operation and design of a sustainable energy system. The degree of detail should be comparable to that of a public seminar for industry
• Formulate a mathematical programming problem; identify objectives, constraints, variables and parameters; characterise feasibility, optimality and unboundedness; formulate and interpret the dual problem, formulate an integer program
• Formulate economic dispatch and unit commitment of power producing units, electricity storage operation and integration of renewable energy in the mathematical programming framework
• Formulate a linear/an integer programming model for a specific problem within energy system operation and investment, given a qualitative description of the problem
• Implement a mathematical programming model in GAMS, given a mathematical formulation of the problem
• Collect, prepare and format input data, e.g. time series data for production and consumption, for the models of this course
• Verify the models and carry out model runs to such an extent that the results can be used to analyse a given problem
• Analyse and present the model results. The level should be such that both results and implications are readily understandable by the other students in the course

The course provides an overview of a sustainable energy system with a view towards the challenges involved in operation, control and design. To address such challenges on different time scales, the course is divided into two parts: 1. Frequency control for wind power (very short term, i.e. time scales of seconds to minutes) and 2. Mathematical programming models in energy (short-, medium- and long-term, i.e. time scales of hours to days). The emphasis in the first part of the course is on frequency control of an island power system with many wind turbines, implementation and simulation of dynamic models. The second part introduces the basics of optimization by mathematical programming, the application to energy system modelling and software implementation.

Course notes and slides

The last time the course is offered in this form

Please contact the teacher for information on whether this course gives the student the opportunity to prepare a project that may participate in DTU´s Study Conference on sustainability, climate technology, and the environment (GRØN DYST). More information http://www.groendyst.dtu.dk/kursustilmelding.aspx