Comparison of linear, mixed integer and non-linear programming methods in energy system dispatch modelling

In the paper, three frequently used operation optimisation methods are examined with respect to their impact on operation management of the combined utility technologies for electric power and DH (district heating) of eastern Denmark. The investigation focusses on individual plant operation differen...

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Veröffentlicht in:Energy (Oxford) Jg. 74; S. 109 - 118
Hauptverfasser: Ommen, Torben, Markussen, Wiebke Brix, Elmegaard, Brian
Format: Journal Article Tagungsbericht
Sprache:Englisch
Veröffentlicht: Kidlington Elsevier Ltd 01.09.2014
Elsevier
Schlagworte:
Applied sciences
CHP (combined heat and power)
DH (district heating)
Dispatching
District heating
electric power
Energy
Exact sciences and technology
heat
Heat pumps
Linear programming
Mathematical models
Mixed integer
Nonlinearity
Optimisation methods
Optimization
Programming
Run time (computers)
CHP (combined heat and power)
Dispatching
Heat pumps
DH (district heating)
Optimisation methods
Modeling
Non linear programming
Energetic system
ISSN:0360-5442
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Zusammenfassung:In the paper, three frequently used operation optimisation methods are examined with respect to their impact on operation management of the combined utility technologies for electric power and DH (district heating) of eastern Denmark. The investigation focusses on individual plant operation differences and differences between the solution found by each optimisation method. One of the investigated approaches utilises LP (linear programming) for optimisation, one uses LP with binary operation constraints, while the third approach uses NLP (non-linear programming). The LP model is used as a benchmark, as this type is frequently used, and has the lowest amount of constraints of the three. A comparison of the optimised operation of a number of units shows significant differences between the three methods. Compared to the reference, the use of binary integer variables, increases operation of selected units by 23%, while for a non-linear approach the increase can be higher than 39%. The results indicate a higher coherence between the two latter approaches, and that the MLP (mixed integer programming) optimisation is most appropriate from a viewpoint of accuracy and runtime. •Three operation optimisation methods for dispatch modelling are examined.•The investigation focusses on individual utility plant operation differences.•The comparison shows significant differences between the three algorithms.
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ISSN:0360-5442
DOI:10.1016/j.energy.2014.04.023