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>iasystem. While the total quantity of transferred energyremains the same, the exergy that delivers this energymay vary. Analyzing the required exergy with respect tothe energy transfer equipment will result in an optimumec<strong>on</strong>omic soluti<strong>on</strong> allowing for integrati<strong>on</strong> of the systemwith other systems.In this exergoec<strong>on</strong>omic optimizati<strong>on</strong>, the system istreated as an integrated whole together with othersystems. While the (comfort) energy supplied remainsthe same in any given scenario, the exergy required forthis scenario varies <strong>and</strong> the cost implicati<strong>on</strong>s of thisvariati<strong>on</strong> are included in the analysis. Therefore, in thisanalysis the c<strong>on</strong>sumer of energy does not pay for theenergy, but for the exergy, the real value of the energysupplied.SYSTEM DESCRIPTIONThe system c<strong>on</strong>sidered here to develop themethodology is a district heating system supplying hotwater for space heating to a 1000 home community inthe Ottawa area in Canada. It was modelled using theRETScreen clean energy project analysis software tool[6] <strong>and</strong> in-house spreadsheet based models. The hotwater is transported from an energy centre locatedcentrally in the community to the 1000 detachedhomes. Inside the buildings, radiators or cross-flowheat exchangers (water-to-air fan coils) are employedto provide space heating.Energy SupplyThe building temperature set point is kept c<strong>on</strong>stant at20°C. The hot water supply temperature is determinedby the outdoor temperature. If the outdoor temperatureis above 5 °C, the supply temperature is 70 °C. Whenthe outdoor temperature drops below -15 °C, thesupply temperature equals 90 °C. Between 5 °C <strong>and</strong>-15 °C, the supply increases linearly from 70 °C to90 °C. This is a comm<strong>on</strong> supply temperature profileused in many European district heating systems. Itprevents excessive flows in the pipes at high loads <strong>and</strong>permits smaller heat transfer surfaces in the buildingsdue to the higher temperature difference betweenwater <strong>and</strong> building air. When the heat transfer surfacearea was varied to reach an optimum soluti<strong>on</strong> thesupply temperature was adjusted by a c<strong>on</strong>stant valueover the entire load range. The water returntemperature was set at 30 °C in all design calculati<strong>on</strong>s,but varied throughout the year according to the offdesigncharacteristics of the heating equipment used.The load of the buildings is related to the outdoortemperature. The annual heat c<strong>on</strong>sumpti<strong>on</strong> was set at100 GJ per house, a typical value for detached homesin this area. The instantaneous load throughout theyear is simply calculated as a linear relati<strong>on</strong>shipbetween zero <strong>and</strong> the maximum capacity, when theoutdoor temperature varies between 20 °C <strong>and</strong> -28 °C,47the design temperature for Ottawa. While this is anover-simplificati<strong>on</strong> of reality, it neither hinders thedevelopment of the methodology nor introducesserious errors of c<strong>on</strong>sequence.Energy Transmissi<strong>on</strong>The pipe diameters were estimated using theRETScreen software tool. This means for diametersunder 400 mm the pressure drop is kept below 200 Paper meter of pipe <strong>and</strong> for larger diameters flow velocityis maximized at 3 m/s [6]. As RETScreen has a limit of13 secti<strong>on</strong>s for district heating systems, the 1000homes were assumed to be located al<strong>on</strong>g twelve 80-home streets. The final 40 homes were located in aseparate street.The energy transfer fluid is water. The pipes arepreinsulated steel or cross-linked polyethylene (PEX)pipes. The first iterati<strong>on</strong> of the methodology accountedfor heat losses from the pipes. Since it was found thatthis heat loss was a negligible fracti<strong>on</strong> of thetransmitted energy, it was omitted in subsequentversi<strong>on</strong>s. For a thorough analysis, it is recommended toinclude heat losses, especially if the piping system isextensive <strong>and</strong> the supply temperatures reach highlevels.A pressure drop analysis was used to determine therequired pump energy. The electric motor driving thepump was estimated to have 90% efficiency while thepump was assigned an efficiency of 85%.End-UseThe energy supplied to the pipeline was used to keepthe building temperatures at set point. Therefore,regardless of the (size of) building heating systemused, the same energy was used to keep the buildingswarm. However, the exergy used was dependent of thesystem in place <strong>and</strong> of its size. The larger the size, thelower the required water temperature <strong>and</strong> hence lessexergy was required to achieve the same end result.Two different technologies were used to model thetransfer of energy into the building space: cross-flowheat exchangers, <strong>and</strong> radiators. Simulati<strong>on</strong>s were d<strong>on</strong>efor both technologies separately, <strong>and</strong> the technologieswere never mixed. This was d<strong>on</strong>e to simplify theanalysis. In reality, mixed systems will occur <strong>and</strong>should be analysed as such. While this will increasethe level of modelling complexity, it is not difficult to do.DESCRIPTION OF MODELINGClimateThe local climate has a significant effect <strong>on</strong> the designof a building heating system. A maritime climate mayhave many degree days but not show the variability indem<strong>and</strong> that a building in a c<strong>on</strong>tinental climate with anequal amount of degree days experiences. Even if both
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>iabuildings use the same amount of energy per year, thedem<strong>and</strong> load in the building with the c<strong>on</strong>tinental climatemay be far greater. Therefore, the climate plays animportant role in the design of a heating system <strong>and</strong>should, therefore, be c<strong>on</strong>sidered in this analysis.Supply TemperatureTo include the effect of the variability of the energydem<strong>and</strong> with time-of-day <strong>and</strong> the seas<strong>on</strong>s, thestatistical average hourly temperatures for the city ofOttawa were used. These temperature values are realvalues, with realistic variability (high <strong>and</strong> lowtemperatures), using time-periods from different yearsto provide for a correct average. In total, 8760 hourlyvalues of temperature were used in the spreadsheet,as shown in Figure 1.Temperature (C)4030201000 1000 2000 3000 4000 5000 6000 7000 8000 9000-10-20-30-40Hour (-)Fig.1. Average hourly temperatures in OttawaSolar Radiati<strong>on</strong>To simplify the spreadsheet calculati<strong>on</strong>s, the effects ofsolar radiati<strong>on</strong>, plug loads <strong>and</strong> occupancy gains wereneglected. When performing the optimizati<strong>on</strong>, theseeffects remain c<strong>on</strong>stant <strong>and</strong> so have little effect <strong>on</strong> thefinal outcome. When using this method for design,these c<strong>on</strong>tributors to the exergy balance should bec<strong>on</strong>sidered.temperature. The pumping energy required wasincluded in the modeling. Since electrical energy isequivalent to exergy, the pumping energy calculatedfrom the pressure drop calculati<strong>on</strong>s (includingefficiencies), was numerically counted as exergy.Normally, during periods of no-load, the pumps keepoperating to keep a supply of design temperature waterclose to the load. This is d<strong>on</strong>e with a thermostaticallyoperated by-pass valve. Since this valve represents ac<strong>on</strong>stant effect which does not affect the optimizati<strong>on</strong>, itwas not modelled for simplicity.Design of Cross-Flow Heat ExchangerThe design of the cross-flow (or fan-coil) heatexchanger was based <strong>on</strong> the assumpti<strong>on</strong> that theoverall heat transfer coefficient ‗U‘ was 25 W/(m2K).The F-factor was set at 0.94. To meet the design load,heat exchangers with a combined area of 17,152 m2were required.Design of Radiator <strong>Heating</strong> SystemThe design of the radiators was d<strong>on</strong>e in a very simplemanner. It is acknowledged that better methods exist,but the development of the methodology did not sufferbecause of this simplificati<strong>on</strong>. For any optimizati<strong>on</strong>,actual modelling of the equipment should take place.To determine the heat transfer from the panels, thegeneral radiati<strong>on</strong> equati<strong>on</strong>4 4T panelT roomQ (2)was used with the ‗average‘ panel temperature. Thesurface emissivity ‗ε‘ was estimated at 0.9. C<strong>on</strong>vecti<strong>on</strong>from the surfaces was not separately c<strong>on</strong>sidered.To meet the design load, 42,271 m2 of radiativesurface was required to meet the design load.Determinati<strong>on</strong> of Instantaneous LoadThe maximum thermal load of the community for spaceheating was determined using the average hourlytemperatures <strong>and</strong> the annual heat c<strong>on</strong>sumpti<strong>on</strong> perhouse of 100 GJ. It turned out to be 10,640 kW. Whenthe outdoor temperature reaches -28 °C, the Ottawadesign temperature, the community requires themaximum thermal load. At the ambient temperature of20 °C, the load is nil. The modelling is set up so thatbetween these ambient temperatures, the load varieslinearly. For instance, at -4 °C, the load equals 5.32MW.Pumping Power <strong>and</strong> ExergyTo meet the load, the water had to be pumped from thesupply source to the load. The amount of waterpumped varied with the load <strong>and</strong> the supplyDeterminati<strong>on</strong> of Exergy UseAs indicated in Secti<strong>on</strong> 1, the ratio of Energy to Exergycan be expressed as:EQTambient 1(1)Tsup plyWhere E is exergy, Q is energy <strong>and</strong> T is thetemperature given in K.For this study, knowing the energy supplied, Equati<strong>on</strong>(1) was used to calculate the supplied exergy for eachhour interval. For each of the heating systems used<strong>and</strong> each of their variati<strong>on</strong>s is size, the amount ofenergy supplied to the heated space remained thesame. However, due to the supply temperature48
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academic access is facilitated as t
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produce heat and electricity. Fluct
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