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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Vydané v:	Energy (Oxford) Ročník 74; s. 109 - 118
Hlavní autori:	Ommen, Torben, Markussen, Wiebke Brix, Elmegaard, Brian
Médium:	Journal Article Konferenčný príspevok..
Jazyk:	English
Vydavateľské údaje:	Kidlington Elsevier Ltd 01.09.2014 Elsevier
Predmet:	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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Abstract	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.
AbstractList	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 ofthe 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. 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. 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.
Author	Markussen, Wiebke Brix Elmegaard, Brian Ommen, Torben
Author_xml	– sequence: 1 givenname: Torben surname: Ommen fullname: Ommen, Torben email: tsom@mek.dtu.dk – sequence: 2 givenname: Wiebke Brix surname: Markussen fullname: Markussen, Wiebke Brix email: wb@mek.dtu.dk – sequence: 3 givenname: Brian surname: Elmegaard fullname: Elmegaard, Brian email: be@mek.dtu.dk
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Cites_doi	10.1016/S0378-7796(98)00080-7 10.1016/S0140-7007(97)00025-X 10.1016/0165-0572(82)90013-5 10.1109/TPWRS.2009.2016470 10.1016/j.apenergy.2009.09.026 10.1016/j.renene.2010.12.015 10.1088/1748-9326/3/2/025001 10.1016/S0360-5442(01)00071-8 10.1504/IJETP.2007.012568 10.1016/j.enconman.2009.04.010 10.1016/j.energy.2012.11.030 10.1016/j.ijhydene.2008.01.031 10.1016/j.energy.2009.09.028 10.1016/j.energy.2012.06.011 10.1016/j.energy.2009.11.004 10.1016/j.apenergy.2011.09.038
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Keywords	CHP (combined heat and power) Dispatching Heat pumps DH (district heating) Optimisation methods Modeling Non linear programming Energetic system
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References	GAMS Development Corporation (bib15) 1998 Christensen, Patru, Poulsen, Rudmose, Hansen, Hansen (bib24) 2007 Mancarella (bib7) 2009; 50 International Energy Agency (bib20) 2012 Energinet.dk (bib19) 2012 Verbruggen (bib21) 2007; 5 Larsen, Palsson, Ravn (bib22) 1998; 48 Johansen (bib28) 2010 Kosman, Rusin (bib23) 2001; 26 Effenberger (bib26) 2010 Kiviluoma, Meibom (bib2) 2010; 35 Holttinen (bib1) 2008; 3 Ferris (bib16) 2005 Connolly, Lund, Mathiesen, Leahy (bib8) 2010; 87 Danish Energy Agency (bib12) 2012 IBM. IBM ILOG CPLEX 12.4.0.1; 2012. Licensed software. HOFOR A/S. Personal communication. Consumption of district heating in 2011; 2012. Tuohy, Meibom, Denny, O'Malley (bib10) 2009; 24 Schaumburg-Muller, Clausen, Ravn (bib17) 2008 Karlsson, Meibom (bib11) 2008; 33 Energinet.dk (bib13) 2011 ARKI Consulting and Development. Conopt 3.15F; 2012. Licensed software. Ropenus, Jacobsen, Schrüder (bib9) 2011; 36 Verbruggen (bib27) 1982; 4 Blarke (bib3) 2012; 91 Brunin, Feidt, Hivet (bib25) 1997; 20 Oestergaard (bib4) 2013; 49 Nordpoolspot.com (bib31) 2013 Münster, Morthorst, Larsen, Bregnbaek, Werling, Lindboe (bib5) 2012; 48 Danish Energy Agency (bib18) 2010 Molyneaux, Leyland, Favrat (bib6) 2010; 35 Oestergaard (10.1016/j.energy.2014.04.023_bib4) 2013; 49 Nordpoolspot.com (10.1016/j.energy.2014.04.023_bib31) 2013 Karlsson (10.1016/j.energy.2014.04.023_bib11) 2008; 33 Kiviluoma (10.1016/j.energy.2014.04.023_bib2) 2010; 35 International Energy Agency (10.1016/j.energy.2014.04.023_bib20) 2012 Brunin (10.1016/j.energy.2014.04.023_bib25) 1997; 20 Verbruggen (10.1016/j.energy.2014.04.023_bib21) 2007; 5 Johansen (10.1016/j.energy.2014.04.023_bib28) 2010 Danish Energy Agency (10.1016/j.energy.2014.04.023_bib12) 2012 Energinet.dk (10.1016/j.energy.2014.04.023_bib19) 2012 Energinet.dk (10.1016/j.energy.2014.04.023_bib13) 2011 Connolly (10.1016/j.energy.2014.04.023_bib8) 2010; 87 Ropenus (10.1016/j.energy.2014.04.023_bib9) 2011; 36 10.1016/j.energy.2014.04.023_bib29 10.1016/j.energy.2014.04.023_bib14 Christensen (10.1016/j.energy.2014.04.023_bib24) 2007 Schaumburg-Muller (10.1016/j.energy.2014.04.023_bib17) 2008 Blarke (10.1016/j.energy.2014.04.023_bib3) 2012; 91 Effenberger (10.1016/j.energy.2014.04.023_bib26) 2010 10.1016/j.energy.2014.04.023_bib30 Holttinen (10.1016/j.energy.2014.04.023_bib1) 2008; 3 Tuohy (10.1016/j.energy.2014.04.023_bib10) 2009; 24 Ferris (10.1016/j.energy.2014.04.023_bib16) 2005 Molyneaux (10.1016/j.energy.2014.04.023_bib6) 2010; 35 Larsen (10.1016/j.energy.2014.04.023_bib22) 1998; 48 Mancarella (10.1016/j.energy.2014.04.023_bib7) 2009; 50 Kosman (10.1016/j.energy.2014.04.023_bib23) 2001; 26 Danish Energy Agency (10.1016/j.energy.2014.04.023_bib18) 2010 Verbruggen (10.1016/j.energy.2014.04.023_bib27) 1982; 4 Münster (10.1016/j.energy.2014.04.023_bib5) 2012; 48 GAMS Development Corporation (10.1016/j.energy.2014.04.023_bib15)
References_xml	– reference: ARKI Consulting and Development. Conopt 3.15F; 2012. Licensed software. – year: 2013 ident: bib31 article-title: The day-ahead market – Elspot – volume: 20 start-page: 308 year: 1997 ident: bib25 article-title: Comparison of the working domains of some compression heat pumps and a compression-absorption heat pump publication-title: Int J Refrigeration – volume: 49 start-page: 502 year: 2013 end-page: 508 ident: bib4 article-title: Wind power integration in Aalborg municipality using compression heat pumps and geothermal absorption heat pumps publication-title: Energy – year: 2012 ident: bib12 article-title: Energy statistics 2011. Data, tables, statistics and maps – reference: HOFOR A/S. Personal communication. Consumption of district heating in 2011; 2012. – year: 1998 ident: bib15 article-title: General algebraic modeling system – volume: 35 start-page: 1244 year: 2010 end-page: 1255 ident: bib2 article-title: Influence of wind power, plug-in electric vehicles, and heat storages on power system investments publication-title: Energy – year: 2010 ident: bib18 article-title: Technology data for energy plants – year: 2012 ident: bib19 article-title: Energinet.dk analytic prerequisites 2012–2035 – year: 2008 ident: bib17 article-title: Mathematical models and methods for analysis of distributed power generation on market conditions – volume: 48 start-page: 47 year: 2012 end-page: 55 ident: bib5 article-title: The role of district heating in the future Danish energy system publication-title: Energy – volume: 3 year: 2008 ident: bib1 article-title: Estimating the impacts of wind power on power systems – summary of IEA wind collaboration publication-title: Environ Res Lett – volume: 33 start-page: 1777 year: 2008 end-page: 1787 ident: bib11 article-title: Optimal investment paths for future renewable based energy systems-using the optimisation model Balmorel publication-title: Int J Hydrogen Energy – year: 2010 ident: bib26 article-title: Wirkungsgrad und Verluste. Dampferzeugung – volume: 4 start-page: 231 year: 1982 end-page: 263 ident: bib27 article-title: A system model of combined heat and power generation in district heating publication-title: Resour Energy – reference: IBM. IBM ILOG CPLEX 12.4.0.1; 2012. Licensed software. – volume: 36 start-page: 1949 year: 2011 end-page: 1956 ident: bib9 article-title: Network regulation and support schemes – how policy interactions affect the integration of distributed generation publication-title: Renew Energy – year: 2007 ident: bib24 article-title: Mini-scale heat pump using CO – volume: 91 start-page: 349 year: 2012 end-page: 365 ident: bib3 article-title: Towards an intermittency-friendly energy system: comparing electric boilers and heat pumps in distributed cogeneration publication-title: Appl Energy – year: 2011 ident: bib13 article-title: Download of market data – volume: 87 start-page: 1059 year: 2010 end-page: 1082 ident: bib8 article-title: A review of computer tools for analysing the integration of renewable energy into various energy systems publication-title: Appl Energy – volume: 24 start-page: 592 year: 2009 end-page: 601 ident: bib10 article-title: Unit commitment for systems with significant wind penetration publication-title: IEEE Trans Power Syst – volume: 26 start-page: 1083 year: 2001 end-page: 1099 ident: bib23 article-title: The influence of the start-ups and cyclic loads of steam turbines conducted according to European standards on the component's life publication-title: Energy – year: 2005 ident: bib16 article-title: MATLAB and GAMS: interfacing optimization and visualization software – volume: 5 start-page: 1 year: 2007 end-page: 16 ident: bib21 article-title: Combined heat and power (CHP) essentials publication-title: Int J Energy Technol Pol – year: 2010 ident: bib28 article-title: Simulation and optimisation of thermal power stations by use of turabs – volume: 35 start-page: 751 year: 2010 end-page: 758 ident: bib6 article-title: Environomic multi-objective optimisation of a district heating network considering centralized and decentralized heat pumps publication-title: Energy – year: 2012 ident: bib20 article-title: World energy outlook 2012 – volume: 50 start-page: 1991 year: 2009 end-page: 1999 ident: bib7 article-title: Cogeneration systems with electric heat pumps: energy-shifting properties and equivalent plant modelling publication-title: Energy Convers Manag – volume: 48 start-page: 45 year: 1998 end-page: 56 ident: bib22 article-title: Probabilistic production simulation including combined heat and power plants publication-title: Electr Power Syst Res – ident: 10.1016/j.energy.2014.04.023_bib29 – year: 2011 ident: 10.1016/j.energy.2014.04.023_bib13 – year: 2008 ident: 10.1016/j.energy.2014.04.023_bib17 – year: 2007 ident: 10.1016/j.energy.2014.04.023_bib24 – ident: 10.1016/j.energy.2014.04.023_bib14 – year: 2005 ident: 10.1016/j.energy.2014.04.023_bib16 – volume: 48 start-page: 45 issue: 1 year: 1998 ident: 10.1016/j.energy.2014.04.023_bib22 article-title: Probabilistic production simulation including combined heat and power plants publication-title: Electr Power Syst Res doi: 10.1016/S0378-7796(98)00080-7 – volume: 20 start-page: 308 issue: 5 year: 1997 ident: 10.1016/j.energy.2014.04.023_bib25 article-title: Comparison of the working domains of some compression heat pumps and a compression-absorption heat pump publication-title: Int J Refrigeration doi: 10.1016/S0140-7007(97)00025-X – year: 2012 ident: 10.1016/j.energy.2014.04.023_bib19 – volume: 4 start-page: 231 issue: 3 year: 1982 ident: 10.1016/j.energy.2014.04.023_bib27 article-title: A system model of combined heat and power generation in district heating publication-title: Resour Energy doi: 10.1016/0165-0572(82)90013-5 – volume: 24 start-page: 592 issue: 2 year: 2009 ident: 10.1016/j.energy.2014.04.023_bib10 article-title: Unit commitment for systems with significant wind penetration publication-title: IEEE Trans Power Syst doi: 10.1109/TPWRS.2009.2016470 – year: 2010 ident: 10.1016/j.energy.2014.04.023_bib28 – volume: 87 start-page: 1059 issue: 4 year: 2010 ident: 10.1016/j.energy.2014.04.023_bib8 article-title: A review of computer tools for analysing the integration of renewable energy into various energy systems publication-title: Appl Energy doi: 10.1016/j.apenergy.2009.09.026 – volume: 36 start-page: 1949 issue: 7 year: 2011 ident: 10.1016/j.energy.2014.04.023_bib9 article-title: Network regulation and support schemes – how policy interactions affect the integration of distributed generation publication-title: Renew Energy doi: 10.1016/j.renene.2010.12.015 – year: 2013 ident: 10.1016/j.energy.2014.04.023_bib31 – volume: 3 issue: 2 year: 2008 ident: 10.1016/j.energy.2014.04.023_bib1 article-title: Estimating the impacts of wind power on power systems – summary of IEA wind collaboration publication-title: Environ Res Lett doi: 10.1088/1748-9326/3/2/025001 – year: 2010 ident: 10.1016/j.energy.2014.04.023_bib18 – ident: 10.1016/j.energy.2014.04.023_bib30 – volume: 26 start-page: 1083 issue: 12 year: 2001 ident: 10.1016/j.energy.2014.04.023_bib23 article-title: The influence of the start-ups and cyclic loads of steam turbines conducted according to European standards on the component's life publication-title: Energy doi: 10.1016/S0360-5442(01)00071-8 – volume: 5 start-page: 1 issue: 1 year: 2007 ident: 10.1016/j.energy.2014.04.023_bib21 article-title: Combined heat and power (CHP) essentials publication-title: Int J Energy Technol Pol doi: 10.1504/IJETP.2007.012568 – volume: 50 start-page: 1991 issue: 8 year: 2009 ident: 10.1016/j.energy.2014.04.023_bib7 article-title: Cogeneration systems with electric heat pumps: energy-shifting properties and equivalent plant modelling publication-title: Energy Convers Manag doi: 10.1016/j.enconman.2009.04.010 – year: 2012 ident: 10.1016/j.energy.2014.04.023_bib20 – year: 2010 ident: 10.1016/j.energy.2014.04.023_bib26 – volume: 49 start-page: 502 issue: 1 year: 2013 ident: 10.1016/j.energy.2014.04.023_bib4 article-title: Wind power integration in Aalborg municipality using compression heat pumps and geothermal absorption heat pumps publication-title: Energy doi: 10.1016/j.energy.2012.11.030 – volume: 33 start-page: 1777 issue: 7 year: 2008 ident: 10.1016/j.energy.2014.04.023_bib11 article-title: Optimal investment paths for future renewable based energy systems-using the optimisation model Balmorel publication-title: Int J Hydrogen Energy doi: 10.1016/j.ijhydene.2008.01.031 – year: 2012 ident: 10.1016/j.energy.2014.04.023_bib12 – volume: 35 start-page: 751 issue: 2 year: 2010 ident: 10.1016/j.energy.2014.04.023_bib6 article-title: Environomic multi-objective optimisation of a district heating network considering centralized and decentralized heat pumps publication-title: Energy doi: 10.1016/j.energy.2009.09.028 – volume: 48 start-page: 47 issue: 1 year: 2012 ident: 10.1016/j.energy.2014.04.023_bib5 article-title: The role of district heating in the future Danish energy system publication-title: Energy doi: 10.1016/j.energy.2012.06.011 – ident: 10.1016/j.energy.2014.04.023_bib15 – volume: 35 start-page: 1244 issue: 3 year: 2010 ident: 10.1016/j.energy.2014.04.023_bib2 article-title: Influence of wind power, plug-in electric vehicles, and heat storages on power system investments publication-title: Energy doi: 10.1016/j.energy.2009.11.004 – volume: 91 start-page: 349 issue: 1 year: 2012 ident: 10.1016/j.energy.2014.04.023_bib3 article-title: Towards an intermittency-friendly energy system: comparing electric boilers and heat pumps in distributed cogeneration publication-title: Appl Energy doi: 10.1016/j.apenergy.2011.09.038
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SubjectTerms	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)
Title	Comparison of linear, mixed integer and non-linear programming methods in energy system dispatch modelling
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