Development of a Comprehensive Electricity Generation Simulation Model Using a Mixed Integer Programming Approach

Authors: Erik Delarue, David Bekaert, Ronnie Belmans, William D'haeseleer

Abstract:

This paper presents the development of an electricity simulation model taking into account electrical network constraints, applied on the Belgian power system. The base of the model is optimizing an extensive Unit Commitment (UC) problem through the use of Mixed Integer Linear Programming (MILP). Electrical constraints are incorporated through the implementation of a DC load flow. The model encloses the Belgian power system in a 220 – 380 kV high voltage network (i.e., 93 power plants and 106 nodes). The model features the use of pumping storage facilities as well as the inclusion of spinning reserves in a single optimization process. Solution times of the model stay below reasonable values.

Keywords: Electricity generation modeling, Unit Commitment(UC), Mixed Integer Linear Programming (MILP), DC load flow.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1333456

References:

[1] Padhy N. Unit commitment - a bibliographical survey. IEEE Transactions on power systems 2004; 19:1196-1205.
[2] Shahidehpour M, Yamin H, Li Z. Market operations in electric power systems. IEEE, Wiley Interscience, New-York, 2002.
[3] Streiffert D, Philbrick R, Ott A. A mixed integer programming solution for market clearing and reliability analysis. Power Engineering Society General Meeting, 2005, vol. 3. IEEE, 2005. p. 2724-2731.
[4] Hobbs B, Rothkopf M, O-Neill R, Chao H. The next generation of electric power unit commitment models. Kluwer Academic Publishers, Boston, 2001.
[5] Wood A, Wollenberg B. Power generation, operation and control - 2nd ed. Wiley, New York, 1996.
[6] Delarue E, D-haeseleer W. Advanced Priority Listing versus Mixed Integer Programming in solving the Unit Commitment problem. Submitted to Energy, February 2007.
[7] Purchala K. Modeling and analysis of techno-economic interactions in meshed high voltage grids exhibiting congestion, doctoral thesis, K.U.Leuven, Electrical Energy Research Group (ELECTA), Leuven, 2005.
[8] Purchala K, Meeus L, Van Dommelen D, Belmans R. Usefulness of DC Power Flow for Active Power Flow Analysis, IEEE PES General Meeting 2005.
[9] Elia. Information on the Belgian grid. Available at http://www.elia.be
[10] Beroepsfederatie van de Elektriciteitssector (BFE). Statistisch jaarboek 2002, 2002. Available (in Dutch) at: http://www.synergrid.be/Media/StatistiekenBFE2002.pdf
[11] IEA. World Energy Outlook 2005, Middle East and North Africa Insights. International Energy agency/OECD, Paris, 2005.