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>iaDAILY HEAT LOAD VARIATION IN SWEDISH DISTRICT HEATING SYSTEMSH. Gadd <strong>and</strong> S. WernerSchool of Business <strong>and</strong> Engineering, Halmstad UniversitySE-301 18 Halmstad, Ph<strong>on</strong>e: +46 35 167757henrik.gadd@hh.se, sven.werner@hh.se, www.hh.seABSTRACTIf daily heat load variati<strong>on</strong>s could be eliminated indistrict heating-systems, it would make the operati<strong>on</strong> ofthe district heating system less costly <strong>and</strong> morecompetitive . There would be several advantages in theoperati<strong>on</strong> such as:Less use of expensive peak load power whereoften expensive fuels are used.Less need for peak load power capacity.Easier to optimize the operati<strong>on</strong> that leads tohigher c<strong>on</strong>versi<strong>on</strong> efficiencies.Less need for maintenance because of moresmooth operati<strong>on</strong> of the plantsThere are a number of ways to h<strong>and</strong>le the dailyvariati<strong>on</strong>s of the heat load. Two often used are largeheat storages or using the district heating network astemporary storage. If it would be possible to centrallyc<strong>on</strong>trol the customer substati<strong>on</strong>s, it would also bepossible to use heavy buildings c<strong>on</strong>nected to thedistrict heating system as heat storages.To be able to find the best way to reduce or eveneliminate the daily heat load variati<strong>on</strong>s, you need tounderst<strong>and</strong> the characteristics of the daily variati<strong>on</strong>s.This paper will describe a way of characterizing dailyheat load variati<strong>on</strong>s in some Swedish district heatingsystems.INTRODUCTIONFor all heat generati<strong>on</strong>/distributi<strong>on</strong> systems, heat loadvariati<strong>on</strong>s leads to inefficiencies. You need to designyour system for the peak load even though you <strong>on</strong>lyneed the top capacity for a very short period of time ofthe year. This is of cause expensive. The soluti<strong>on</strong> tothis problem is heat storage. There are a number ofpossibilities to store heat in DH systems:Large heat storages at the heat generati<strong>on</strong> plantsHeat storage in district heating networksHeat storage in heavy buildings in by allowingsmall variati<strong>on</strong> in indoor temperatures[1].If it would be possible to extinguish daily variati<strong>on</strong>s itwould lead to several profitable advantages such as:Less use of expensive peak load power whereoften expensive fuels are used.Less need for peak load power capacity.Easier to optimize the operati<strong>on</strong> that leads tohigher c<strong>on</strong>versi<strong>on</strong> efficiencies.Less need for maintenance because of moresmooth operati<strong>on</strong> of the plantsTo do this some questi<strong>on</strong>s need to be answered:What input <strong>and</strong> output capacity to/from the heatstorage is needed?What size of the heat storage is needed?Are the daily heat variati<strong>on</strong>s in the specific systemlarge or small during a year?METHODNomenclatureP h = Present hour value [MWh/h]P d = Mean hour value for the present day [MWh/h]P a = Mean hour value for the whole year [MWh/h]S h = Energy transfer capacity [MWh/h]S d = Size of heat storage [MWh/day]S a = Total annual daily heat load variati<strong>on</strong>h= Momentary daily variati<strong>on</strong> [h/h]d= Total daily variati<strong>on</strong> [h/day]a= Total annual relative daily variati<strong>on</strong> [h/year]VariablesMeasured data has been collected from some districtheating systems in Sweden. The collected data is theheat power that is generated <strong>and</strong> fed into the districtheating network. It is hour mean power that is used, i.e.8 760 data points per year. Only whole years is usedfrom 1 of January to 31 of December. To describe thedaily variati<strong>on</strong> three variables is defined.1. Momentary daily variati<strong>on</strong> ( h)2. Total daily variati<strong>on</strong>. ( d)3. Total annual relative daily variati<strong>on</strong>. ( a)Three system examples are presented in this paper toexemplify the method to characterize district heatingdaily heat load variati<strong>on</strong>:System A: From a city in South of Sweden with anannual heat generati<strong>on</strong> of 200 GWh.199
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 B: From a city in Southwest of Sweden with anannual heat generati<strong>on</strong> of 64 GWh.System C: From a city in the middle of Sweden with anannual heat generati<strong>on</strong> of 1550 GWh.Momentary daily variati<strong>on</strong> ( )The momentary daily variati<strong>on</strong> is proporti<strong>on</strong>al to theamount of heat that needs to be fed in or out to the DHnetwork to extinguish the daily variati<strong>on</strong>. This variabledescribe the heat power capacity needed for in <strong>and</strong> output from <strong>and</strong> to the heat storage. For each districtheating systems you will get 8 760 (8 784 during leapyears) values per system <strong>and</strong> year.hd1224h1P PThe total daily variati<strong>on</strong> is presented in Fig. 2 for thethree example systems. The figure verifies that thevariati<strong>on</strong>s are more pr<strong>on</strong>ounced in the two smallersystems compared to the larger system. Anotherimplicati<strong>on</strong> is that the highest day values are very few,giving an incentive to c<strong>on</strong>struct heat storagessomewhat smaller than the peaks in the figure. Hence,the investment costs will be reduced more the lostbenefits from the storage, giving a more optimised heatstorage.PhadThe momentary daily variati<strong>on</strong> is defined as thedifference of each hourly measured value <strong>and</strong> themean value of heat per hour of the same day dividedby the mean heat per hour of the year.54,54Total daily variati<strong>on</strong>Systen ASystem BSystem CPh PdhPaThe momentary daily variati<strong>on</strong> is presented in Fig. 1 forthe three example systems. The figure shows that thevariati<strong>on</strong>s are more pr<strong>on</strong>ounced in the two smallersystems compared to the larger system.Total daily variati<strong>on</strong>, τd[h/day]3,532,521,510,5Momentary daily variati<strong>on</strong>, τh[h/h]0,70,60,50,40,30,20,10-0,1-0,2-0,3-0,4-0,5-0,6-0,7Momentary daily variati<strong>on</strong>0 1000 2000 3000 4000 5000 6000 7000 8000Hour of the yearSysten ASystem BSystem CFig. 1 Momentary daily variati<strong>on</strong> sorted by size hour byhour for the three different district heating systems.Total daily variati<strong>on</strong> ( d )Total daily variati<strong>on</strong> is defined for each day <strong>and</strong> is avariable that is proporti<strong>on</strong>al to the amount of heat thatdivert from the daily mean heat load. If you want toextinguish the daily variati<strong>on</strong> in a system this variabledescribe the size of the heat storage. For each DHsystems you will get 365 (366 during leap years) valuesper system <strong>and</strong> year.The total daily variati<strong>on</strong> is defined as the sum over theday of the difference of each hourly measuring value<strong>and</strong> the mean value of energy per hour of the sameday divided by two times the mean energy per hour ofthe year.0- 50 100 150 200 250 300 350Days of the yearFig. 2 Total daily variati<strong>on</strong> sorted by size day by day forthe three different district heating systems.Total annual relative daily variati<strong>on</strong> ( )Total annual daily variati<strong>on</strong> is a variable that isproporti<strong>on</strong>al to the total amount of energy that at dailybasis divert from the mean value accumulated for aperiod of <strong>on</strong>e year. It is used to compare differentsystems between themselves. For each DH systemsyou will get 1 value per system <strong>and</strong> year.Total annual daily variati<strong>on</strong> is defined as the sum overthe year of the difference between each hourlymeasuring value <strong>and</strong> the mean value of energy perhour of the same day divided by two times the meanenergy per hour of the year. a128760,365hh1,d 1PP PThe annual daily variati<strong>on</strong> is presented in Fig. 3 for 10different Swedish district heating systems. Since theannual daily load variati<strong>on</strong> has a magnitude of250–500 h, <strong>on</strong>ly 3–6% of the annual heat load isgenerated above the daily average heat loads. Hence,it is the seas<strong>on</strong>al variati<strong>on</strong>s that dominate the heat loadvariati<strong>on</strong>s in the Swedish district heating systems.ada200
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academic access is facilitated as t
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