The <str<strong>on</strong>g>12th</str<strong>on</strong>g> <str<strong>on</strong>g>Internati<strong>on</strong>al</str<strong>on</strong>g> <str<strong>on</strong>g>Symposium</str<strong>on</strong>g> <strong>on</strong> <strong>District</strong> <strong>Heating</strong> <strong>and</strong> <strong>Cooling</strong>,September 5 th to September 7 th , 2010, Tallinn, Est<strong>on</strong>iaAPPLICATION OF EXERGOECONOMICS TO THE OPTIMIZATION OF BUILDINGHEATING SYSTEMS CONNECTED TO DISTRICT HEATING NETWORKSC. W. Snoek <strong>and</strong> S. C. KluitersRenewables <strong>and</strong> Integrated Energy Systems, CanmetENERGY, Natural Resources Canada,1 Haanel Dr, Ottawa, K1A 1M1, CanadaABSTRACTThe c<strong>on</strong>cept of energy efficiency, defined as usefulenergy output as fracti<strong>on</strong> of required energy input, hasbeen used for years in technical systems assessments.In additi<strong>on</strong> to energy efficiency, there are benefits tousing exergy efficiency to assess system performance.Whether systems will be installed or not is ultimatelydetermined by their ec<strong>on</strong>omic performance. Thisperformance is usually determined by comparing initialinvestment cost <strong>and</strong> operati<strong>on</strong>al cost with revenuesthroughout a system‘s lifetime in terms of payback timeor net present value.This paper describes a novel methodology that usesthe c<strong>on</strong>cept of exergy <strong>and</strong> the thermoec<strong>on</strong>omic factor,a ratio that compares investment-related cost <strong>and</strong>exergy destructi<strong>on</strong> cost, for the ec<strong>on</strong>omic optimizati<strong>on</strong>of a community energy system. It compares the cost ofexergy <strong>and</strong> the required capital <strong>and</strong> operati<strong>on</strong>al costsincluding carb<strong>on</strong> taxes to accommodate this low qualityenergy. In doing so it enables a quick way to properlyassess the value of a system‘s ability to use low exergyenergy inputs. The method is compared to a moretraditi<strong>on</strong>al ec<strong>on</strong>omic analysis.INTRODUCTIONIn the last few years, we have become painfully awareof the effects of climate change. The burning of fossilfuels <strong>and</strong> the resulting emissi<strong>on</strong>s are thought to be amajor c<strong>on</strong>tributor to the apparent increase of adverseweather events. While people need energy for comfort,in some cases there may be a choice in the source <strong>and</strong>nature of that energy. In additi<strong>on</strong> to climate change,there is also a c<strong>on</strong>cern about the rapid depleti<strong>on</strong> of themore valuable of fossil fuels, natural gas <strong>and</strong> oil. Forthese reas<strong>on</strong>s it makes much sense to re-evaluate thesources of the energy we use <strong>and</strong> the effect of usingthem has <strong>on</strong> the envir<strong>on</strong>ment.To lower energy requirements, energy efficiency hasbeen practiced for many years. In terms of comfortheating in houses, most of the effort has g<strong>on</strong>e intoimproving building insulati<strong>on</strong>, better windows, buildingorientati<strong>on</strong> with respect to the sun, shading from solarenergy etc. In terms of energy c<strong>on</strong>versi<strong>on</strong> equipment,improving the efficiency often meets ‗natural‘ limits,such as those expressed by Carnot‘s Law.45Often, omitted from c<strong>on</strong>siderati<strong>on</strong> is the ―quality‖ of theenergy that is needed to provide comfort to theoccupants of a building. While the heatingrequirements of a building can be determined (in GJ orTJ), the nature or origin of this energy is not addressedin energy efficiency calculati<strong>on</strong>s. The total amount ofJoules can be provided by oil, natural gas, electricity orlow temperature ‗waste‘ heat. While the first threeenergy sources are c<strong>on</strong>sidered high quality, <strong>and</strong> can beused to generate very high temperatures (over1000 °C), run equipment such as computers, radio <strong>and</strong>TV transmitters <strong>and</strong> receivers, ‗waste heat‘ is of lowquality <strong>and</strong> has no other use. Comfort heating does notrequire high temperatures <strong>and</strong> therefore using highquality fuel for low quality applicati<strong>on</strong>s is c<strong>on</strong>sideredwasteful.Energy quality is often expressed as ‗exergy‘. Exergy isdefined as the maximum useful work possible during aprocess that brings the system into equilibrium with aheat reservoir. To illustrate the c<strong>on</strong>cept of exergy <strong>on</strong>ecan compare two different forms of the same amount ofenergy: 100 kJ of energy is equivalent to:– 12 V/2.3 Ah stored in a car battery, or– 1 kg of water at 43 °C in a room with an ambienttemperature of 20 °C.Obviously, the energy c<strong>on</strong>tained in the battery isc<strong>on</strong>sidered more useful <strong>and</strong> therefore has the higherquality or exergy.The ratio of Exergy (E) to Energy (Q) can be expressedas:EQTambient 1(1)Tsup plywhere T is given in K.Equati<strong>on</strong> 1 shows that when the supply temperature ofan energy source is high, the exergy c<strong>on</strong>verges to theenergy value. Electricity <strong>and</strong> mechanical work are(nearly) perfectly c<strong>on</strong>vertible <strong>and</strong> the exergy c<strong>on</strong>tent istherefore equal to the energy c<strong>on</strong>tent. C<strong>on</strong>versely,when the supply temperature is closer to theenvir<strong>on</strong>mental temperature, the value of the exergybecomes (much) smaller than that of the energy.Wall [1], in his paper <strong>on</strong> ―Exergy <strong>and</strong> Morals‖ quotesAlfven who claimed that energy accounting based <strong>on</strong>energy <strong>on</strong>ly is like a bank teller counting by the amount
The <str<strong>on</strong>g>12th</str<strong>on</strong>g> <str<strong>on</strong>g>Internati<strong>on</strong>al</str<strong>on</strong>g> <str<strong>on</strong>g>Symposium</str<strong>on</strong>g> <strong>on</strong> <strong>District</strong> <strong>Heating</strong> <strong>and</strong> <strong>Cooling</strong>,September 5 th to September 7 th , 2010, Tallinn, Est<strong>on</strong>iaof coins <strong>and</strong> bills, but neglecting their value. In anethical society the value, worth <strong>and</strong> quality of differentenergy supplies should, as a minimum, be matched tothe requirements of the different energy applicati<strong>on</strong>s.Methods to design low exergy buildings are availabletoday. For instance, Schmidt [2] developed a method<strong>and</strong> pre-design tool for low exergy buildings in which hecompared different heating systems, such as boilers,c<strong>on</strong>densing boilers, electric heating, GSHP <strong>and</strong> lowtemperature under-floor heating. However, this methoddoes not directly address the effect of system heattransfer surface area <strong>on</strong> the overall ec<strong>on</strong>omics.Also, there is an additi<strong>on</strong>al benefit realizing that abuilding that can accommodate low exergy streams isready for future hook-up to other, perhaps renewableenergy sources: GSHP, solar, waste heat fromindustry, energy from thermal storage to name a few.This is a distinct advantage when the move to asustainable society gains momentum, <strong>and</strong> the c<strong>on</strong>ceptof low-temperature heating should be incorporated inbuilding codes.This paper c<strong>on</strong>siders the cost of using the low qualitypart of the energy source <strong>and</strong> the (increased) capitalcost <strong>and</strong> operating cost that are required to‗accommodate‘ low quality energy. A methodology hasbeen developed to determine the optimal cost ofoperati<strong>on</strong>, based <strong>on</strong> the capital cost, operati<strong>on</strong>al cost<strong>and</strong> the cost of the exergy.This type of analysis is c<strong>on</strong>sidered part of the field ofthermoec<strong>on</strong>omics, more in particular exergoec<strong>on</strong>omics.Wikipedia defines thermoec<strong>on</strong>omics in a verytheoretical way as a school of ec<strong>on</strong>omics that applieslaws of thermodynamics to ec<strong>on</strong>omy. Valero et al. [3]operati<strong>on</strong>alize this definiti<strong>on</strong> by describing two aims ofthermoec<strong>on</strong>omics, (1) optimizati<strong>on</strong> to minimize cost ofa system or comp<strong>on</strong>ent, <strong>and</strong> (2) cost allocati<strong>on</strong> ofindividual outputs of a plant producing a number ofoutputs.Valero <strong>and</strong> coworkers [3] date this research field backas far as 1932, when Keenan apporti<strong>on</strong>ed cost of heat<strong>and</strong> work taking into account irreversibility <strong>and</strong>thermodynamic efficiency instead of enthalpy <strong>on</strong>ly.However, they go <strong>on</strong> to say that Gaggioli, <strong>and</strong> Tribus<strong>and</strong> Evans in the early 1960s started off realdevelopment in thermoec<strong>on</strong>omics. Ever since, thesefields have received tremendous attenti<strong>on</strong>. Valero <strong>and</strong>coworkers identify that an important problem in thisbody of research is the variety of methodologies usedwith accompanying nomenclature. Between them <strong>and</strong>Tsatsar<strong>on</strong>is [4] they already name a fair amount ofmethods. In doing so, Tsatsar<strong>on</strong>is introduces theexergoec<strong>on</strong>omic factor f, as a fracti<strong>on</strong> that comparestwo sources c<strong>on</strong>tributing to cost increases, investmentrelatedcost <strong>and</strong> exergy destructi<strong>on</strong> cost. Thisexergoec<strong>on</strong>omic factor is also found in other sources,such as Temir & Bilge [5].It is bey<strong>on</strong>d the scope of this paper to provide acomprehensive literature overview of thermoec<strong>on</strong>omicpublicati<strong>on</strong>s or even of the methods used in thesepublicati<strong>on</strong>s. The aim of this paper is to apply <strong>on</strong>e ofthese methods, using the above-menti<strong>on</strong>edexergoec<strong>on</strong>omic factor to optimize building heatingsystems c<strong>on</strong>nected to a district heating system. To thebest of the authors‘ knowledge, so far this method has<strong>on</strong>ly been applied to optimize individual comp<strong>on</strong>ents.This work ties in with research into advanced lowtemperaturedistrict energy systems currently carriedout at the CanmetENERGY laboratories of NaturalResources Canada in Ottawa, Canada.The system c<strong>on</strong>sidered c<strong>on</strong>sists of buildings with theirheating system (radiators <strong>and</strong> cross-flow heatexchangers are c<strong>on</strong>sidered), the energy centre withboilers <strong>and</strong> pumps <strong>and</strong> the pipeline to move the energyin the form of hot water to the community. Thedevelopment of the methodology was the main objectof the study, not the optimizati<strong>on</strong> itself.While the development of the optimizati<strong>on</strong> was relatedto ec<strong>on</strong>omics, in other words, the least costly opti<strong>on</strong>, itshould be noted that the c<strong>on</strong>cept of ‗exergy‘ opens upthe noti<strong>on</strong> of ―morals‖ <strong>and</strong> ―ethics‖. For newdevelopments, the costs of resource depleti<strong>on</strong> <strong>and</strong>envir<strong>on</strong>mental destructi<strong>on</strong> should be c<strong>on</strong>sidered aswell. Just because a certain system is ec<strong>on</strong>omic, it isnot necessarily the best moral or ethical choice. Justbecause a certain system does not cause localproblems, that does not mean that (envir<strong>on</strong>mental orother) problems caused by this system elsewhere canbe ignored.Traditi<strong>on</strong>al Optimizati<strong>on</strong>sSystem optimizati<strong>on</strong> is often d<strong>on</strong>e by optimizingsystems separately, <strong>and</strong> not by c<strong>on</strong>sidering the overallefficiency of integrated systems. Often, an integratedapproach leads to optimal soluti<strong>on</strong>s, as in electricitygenerati<strong>on</strong> using a back pressure steam turbine.Accepting a lower efficiency of the turbine may lead tothe residual energy in the c<strong>on</strong>denser being useful inother applicati<strong>on</strong>s, whereas in the separately optimizedversi<strong>on</strong> this thermal energy would be useless. In thelatter case, the turbine back pressure is kept as low aspossible, to extract the maximum electrical power. Thismakes the c<strong>on</strong>densate of too low a temperature to beuseful in other applicati<strong>on</strong>s. Optimizing integratedsystems as a whole avoids this problem.Exergoec<strong>on</strong>omic Optimizati<strong>on</strong>In an exergoec<strong>on</strong>omic optimizati<strong>on</strong>, the c<strong>on</strong>cept ofexergy is used to determine the best <strong>and</strong> mostec<strong>on</strong>omic soluti<strong>on</strong> to an energy c<strong>on</strong>versi<strong>on</strong> process or46
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produce heat and electricity. Fluct
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