Advanced Optimization Techniques for Energy Systems Planning and Operation (2023)


Description: Optimal decision-making is a must in energy system planning and operation as the non-optimal decisions may lead to high economic losses and/or technical issues. The course on “Advanced Optimization Techniques for Energy Systems Planning and Operation” is aimed at providing an in-depth introduction to energy system optimization methods. The course will contain a wide range of the basic methods to advanced techniques with hand on examples related to energy systems. The participants will learn how to implement the methods using optimization packages such as GAMS and MATLAB.

Syllabus:

The course will mainly cover the following subjects

Day 1 (8:30-16:30- both Lecturers)

1.1. Introduction to optimization

1.2. Linear programming (geometric methods, simplex algorithm, and sensitivity) and duality theories (dual problem, weak duality theory, and strong duality theory)

1.3. Decomposition Techniques for LP (Dantzig Wolfe & Benders)

Day 2 (8:30-16:30- both Lecturers)

2.1. Mixed integer linear programming

2.2. Nonlinear programming (KKT conditions, convexity, duality)

2.3. Application of Metaheuristic Algorithms

Day 3 (8:30-16:30- both Lecturers)

3.1. Multi-objective optimization

3.2. Bi-level programming

3.3. Stochastic Optimization

3.4. Risk Modelling and Management  

Prerequisites: Basic knowledge in linear algebra and programming

Form of evaluation: The participants will be evaluated by exercises on a daily basis (both individually and in groups) and a mini-project on the optimization of energy systems at the end of the course.

Course literature:

Books:

  • A. J. Conejo, E. Castillo, P. Pedregal, R. Garcia, N. Alguacil. “Building and    Solving Mathematical Programming Models in Engineering and Science”. John Wiley & Sons, 2002.
  • A. J. Conejo, E. Castillo, R. Minguez, R. Garcia-Bertrand. “Decomposition Techniques in Mathematical Programming. Engineering and Science Applications”. Springer-Verlag, 2004.
  • Zhu, Jizhong. Optimization of power system operation. Vol. 49. Wiley. com, 2009.
  • Rao, S.S., "Optimization, Theory & Applications", 3d Ed. Wiley Eastern Ltd., (1984).
  • Soliman, Soliman Abdel-Hady, and Abdel-Aal Hassan Mantawy. Modern optimization techniques with applications in electric power systems. Springer, 2011.
  • Antonio J. Conejo, Miguel Carrión, Juan M. Morales, “Decision Making Under Uncertainty in Electricity Markets”, Springer, 2010.
  • Stephan Dempe, “Foundations of Bilevel Programming”, Springer, 2002.

Presentations:

  • Natalia Alguacil, Lecture notes on “Linear programming”, Nov. 2009.
  • Lecture notes of “LOG734 Heuristics in Analytics”, Molde University College.
  • Chun-Wei Tsai, “An Introduction to Metaheuristics”, Electrical Engineering, National Cheng Kung University.
  • Esmaeil Atashpaz Gargari et. Al, “Designing MIMO PID Controller using Colonial Competitive Algorithm: Applied to Distillation Column Process”, University of Tehran.
  • Kemal Kılıç, Lecture notes of “CS 525- Data Mining”, Sabanci University.
  • Marcelo Sampaio de Alencar, Djalma de Melo Carvalho Filho, “Cellular Network Planning”, River Publishers, 19 Dec 2016.
  • Yong Wang, “Operations Research 04G: Goal Programming”, Binghamton University.
  • Notes of Chris Fricke, “An Introduction to Bilevel Programming”, Department of Mathematics and Statistics University of Melbourne.
  • Dempe, Stephan. “Foundations of bilevel programming”, Springer, 2002.

 

Papers:

  • A. Anvari-Moghaddam, et al., “Optimal Smart Home Energy Management Considering Energy Saving and a Comfortable Lifestyle”, IEEE Trans. Smart Grid, vol.6, no.1, pp. 324-332, 2015.
  • A. Mansour-Saatloo, et al., “Robust Decentralized Optimization of Multi-Microgrids integrated with Power-to-X Technologies”, Applied Energy, vol. 304, pp. 1-22, 2021.

Organiser:     Associate Professor Amjad Anvari-Moghaddam – aam@energy.aau.dk  

Lecturers:      Associate Professor Amjad Anvari-Moghaddam – Aalborg University

Professor Behnam Mohammadi-ivatloo – University of Tabriz

ECTS:               3

Date/Time:   6 - 8 March 2023

Deadline        14 February 2023

Place:              Hybrid (Online+ AAU Energy)
Pontoppidanstræde 105, room 3.115, Aalborg             

Max no. of participants:    30

Price: 6000 DKK for PhD students outside of Denmark and 8000 DKK for the Industry excl. VAT


Important information concerning PhD courses:


We have over some time experienced problems with no-show for both project and general courses. It has now reached a point where we are forced to take action. Therefore, the Doctoral School has decided to introduce a no-show fee of DKK 3.000 for each course where the student does not show up. Cancellations are accepted no later than 2 weeks before start of the course. Registered illness is of course an acceptable reason for not showing up on those days. Furthermore, all courses open for registration approximately four months before start. This can hopefully also provide new students a chance to register for courses during the year. We look forward to your registrations.