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    Buildings dynamic simulation: Water loop heat pump systems analysis

    for European climates

    Annamaria Buonomano, Francesco Calise, Adolfo Palombo

    DETEC, University of Naples Federico II, P.le Tecchio, 80, 80125 Naples, Italy

    a r t i c l e i n f o

    Article history:

    Received 13 June 2011Received in revised form 21 September2011Accepted 21 September 2011Available online 19 October 2011

    Keywords:

    WLHP systemBuilding dynamic simulationHVAC performance analysisEnergy and economic saving

    a b s t r a c t

    In this paper, a purposely designed code for the performance analysis of the Water Loop Heat Pump(WLHP) systems is presented. Hourly, daily and seasonal energy system consumptions, operating eco-nomic costs and environmental impact assessments are dealt with. For the scope of comparison, the per-formances of two reference HVAC system are investigated too. For the computation of the buildingheating and cooling requirements, a suitable dynamic performance simulation model is being developed.All the relevant algorithms are implemented in MATLAB. A case study of an office building undergoingsimulation in different European climatic areas is being presented. Here, different building thermal fea-tures are considered. In order to maximize the system performance an additional optimization procedureto the operating devices temperatures is carried out. Results show that primary energy savings andavoided CO2 emissions of the WLHP system vary in relation to the compared reference systems andcan be obtained only in several European weather zones. The feasibility of the WLHP system stronglydepends on electricity and natural gas national costs.

    2011 Elsevier Ltd. All rights reserved.

    1. Introduction

    In buildings where space heating and cooling loads simulta-neously occur, a Water Loop Heat Pump (WLHP) system can beconveniently adopted[1,2]. Basically, it consists of a set of heatpumps that reject to a water loop the excess heat from cooledspace. Such heat is recovered by other heat pumps and transferredto spaces in need of heating. In the water loop, the occurring heat-ing or cooling deficits are balanced by additional heaters and/orcooling towers. WLHP systems are typically installed in edificeswith distinguished core and perimeter zones or commercial build-ing with deep freeze or cold stores. A basic scheme of a WLHP sys-tem is reported inFig. 1.

    Such systems were developed in the 1960s in USA, they became

    widely popular and applicable since 1990s mostly in USA andJapan. In recent years, several studies were carried out aiming atevaluating the system component features and relative operatingparameters. An investigation concerning the WLHP systems envi-ronmental contribution to a green building environmental controlis reported in[3]. In this study, alternative options to increase thebuildings energy performance were considered. A comparison be-tween conventional air-conditioning systems and a WLHP systemfor a number of Chinese climatic zones is carried out in [4]. Aninteresting analysis of the WLHP performances on four different

    kinds of buildings was presented, where the devices efficienciesof the simulation model are kept constant[4]. In order to increasethe system energy saving, other authors studied the combinationof WLHP systems with gas-engine-driven heat pump (GHP) [5]and coupled with low-temperature geothermal sources [6,7]. Inparticular in[6]the evaluation of system performance and energysaving for commercial and public buildings is carried out. The effi-ciencies of the water source heat pumps are considered dependenton the loop water temperature that ranges between 16 and 32 C. Aconstant cooling load profile is adopted for the core building zone.For the perimeter zone, the heating load is assumed linear to out-door temperatures. In[7]WLHP system is applied to three tower-shaped apartment building in Beijing (China) where well water isused as the low-temperature heat-source. The system perfor-

    mances are analyzed using a field-test data obtained by runningthe system over two winters and a summer. The system controllingconditions are also investigated. In[8] a given test building loadprofile and a single type of WLHPs equipped with a variable speedcompressor and a cooling tower with a variable speed fan are con-sidered in order to find out the optimal loop water temperatureminimizing the WLHP overall energy consumption.

    In this paper, a detailed, purposely-designed performance sim-ulation model for the building-WLHP system is presented. Its com-puter implementation, obtained by MATLAB, allows assessinghourly, daily and seasonal building-HVAC system performances,from an energy, economic and environmental points of view. Thistool allows the variation of system running parameters in contrast

    0306-2619/$ - see front matter 2011 Elsevier Ltd. All rights reserved.doi:10.1016/j.apenergy.2011.09.031

    Corresponding author.E-mail address:[email protected](A. Palombo).

    Applied Energy 91 (2012) 222234

    Contents lists available at SciVerse ScienceDirect

    Applied Energy

    j o u r n a l h o m e p a g e : w w w . e l s e v i e r . c o m / l o c a t e / a p e n e r g y

    http://dx.doi.org/10.1016/j.apenergy.2011.09.031mailto:[email protected]://dx.doi.org/10.1016/j.apenergy.2011.09.031http://www.sciencedirect.com/science/journal/03062619http://www.elsevier.com/locate/apenergyhttp://www.elsevier.com/locate/apenergyhttp://www.sciencedirect.com/science/journal/03062619http://dx.doi.org/10.1016/j.apenergy.2011.09.031mailto:[email protected]://dx.doi.org/10.1016/j.apenergy.2011.09.031
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    to other available commercial software which do not allow severalsystem configuration to be stimulated. A comparison of the WLHPsystem performance vs. the Traditional HVAC (THVAC) systems isalso carried out. The devices-efficiencies are variable in relationto the systems operating conditions and an optimization procedureon the water loop temperatures to maximize the systems perfor-mance is also implemented. A case study relative to large officebuildings is finally presented. Simulations correlate to a number

    of European climatic zones. Both existing building and new con-struction components features are selected according to the out-door climate. The performance analysis of the WLHP system fordifferent European climates and kinds of buildings is novel with re-spect to what is published in the recent literature. A primary andbasic simulation model in addition to some partial results aboutthe system performance are presented in[9,10].

    2. Modelling

    In recent years, several numerical simulation models for thebuilding-HVAC system performance evaluation were developed[1114]. In general, such simulation tools can be categorized withrespect to the tasks they are meant to fulfil (equipment sizing andselections, energy performance analysis, system optimization, con-trol analysis, etc.). Although the current generation tools tend to befully integrated with respect to different building performance as-pects, the integration between building and HVAC system modelsis accomplished at different levels. However, for comparing HVACsystem alternatives and evaluating different control strategies,detailed HVAC system models are required[15]. In this paper, inorder to well quantify the effects of the input parameters to the

    output results of a numerical simulation study, a purposely de-signed building-HVAC dynamic simulation model was developed.

    Nomenclature

    C economic cost ()b capacitance (J/K)c specific heat (kJ/kg K)ce electricity unitary cost (/kW h)cg natural gas unitary cost (/N m3)

    E primary energy consumption (MW h/y)G Gebhart matrix for long wave radiation ()H hourh specific enthalpy of the moist air (kJ/kg)K solar radiation (W/m2)I solar flux intensity (W/m2)_L electricity rating (kW)_m mass flow rate (kg/s)_Q heat load (kW)

    Q heat (kW h)r resistance (K/W)R savingS surface (m2)t time (s)T temperature (C)

    THVAC traditional HVACU thermal transmittance (W/m2 K)Z building thermal zones

    Greek lettersa absorptance ()C long wave internal radiation (W)U external radiation (W)W short wave internal radiation (W)e long wave radiation emissivity ()g efficiency ()h running hourly ratio ()k conductivity (W/m K)q density (kg/m3)s optical transmissivity ()r StefanBoltzmann constant (W/m2 K)

    SubscriptsA airAW air to water electric chiller and traditional natural gas

    boilerB boiler

    bal balanceC compressorCo condenserCool cooling modeCT cooling towerdb dry bulbEv evaporatore electricext external surfaceg natural gasHeat heating modeHVAC referred to the HVAC systemin indoorint internal surfaceo outdoor

    TB traditional system boilerTOT totalV ventilationw waterWLHP water loop heat pumpWW water to water electric chiller and traditional natural

    gas boilerwb wet bulby year

    Superscripts0 entering the WLHPs exiting the boilere economicH heating mode onlyS load simultaneityC cooling mode only

    Boiler

    Heat exchanger

    Pump

    Cooling tower

    Pump

    WLHP WLHPWLHPWLHPWLHP

    wT

    wT

    Fig. 1. Basic scheme of a WLHP system.

    A. Buonomano et al. / Applied Energy 91 (2012) 222234 223

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    The assessment of the building heating and cooling requirements isthe first step to be carried out in a detailed simulation code. In thefirst part of this paragraph such model is presented in a short form.In the second part, the model created for the performance analysisof both the WLHP and THVAC systems is reported.

    2.1. Dynamic model for the building heating and cooling energy

    assessment

    A completely new simulation model was suitably written. Here,the thermal conduction through the opaque and transparent ele-ments is assumed as one-dimensional (thermal bridges are sepa-rately taken into account). The internal heat gain, the buildingventilation and the solar radiation loads are included in the calcu-lation process. The radiation heat transfer of the external opaquesurfaces takes into account the solar and the long wave effects[16,17]. In particular, the sun incidence angles are calculated as afunction of time and surface building orientation [18].

    The modelled windows are supposed to be multi-glazed andfilled by different gases to meet the desired thermal transmittance.Solar radiation entering through the windows is absorbed, re-flected and distributed within the internal space by selectedabsorption, reflection and view factors, respectively. The internallong-wave radiation is handled by the Gebhart method [16,17].Depending on the buildings envelope thermal inertia, such ab-sorbed heat contributes to the heat gain during the winter seasonand to the space cooling load in summer. In order to reduce thesummer solar heat gains, the windows external solar shadingsare considered. The control model of their tilt angle, and thus ofthe windows shading coefficient, is here based on the standardrequirement of the average indoor horizontal lighting level[19].

    In order to simulate the dynamic thermal response of each build-ing element (wall, ceiling, floor and window), a thermal network ofn nodes is implemented, [20,21]. Here, for each m building element,ndepends on the modelled isothermal layers and it is selected by atrade-off analysis taking into account the computational time and

    the accuracy of the calculation procedure, simultaneously.In order to calculate the heating or cooling energy requirement

    (QHVAC) for each building space, the following system of differentialequations is used:

    bm;ndTm;nds

    T1;n1 T1;n

    rm;n1

    T1;n1T1;nrm;n

    Cm Wm Um

    bindTinds

    PMm1

    Tm;NTinrm;N

    _QGAIN _mV hohin _QHVAC

    8>:

    Cm Smem;intrXMj1

    Gm;jT4j;NT

    4m;N

    Cm 0 only for internal surface n N

    Wm Sm

    am;intIm

    Wm

    0 only for internal surface n NUm Sm em;extrT

    4skyT

    4m;1 am;extKm

    h i

    Um 0 only for external surface n 1

    m 1 M

    n 1 N

    1

    whereT,randbare the thermal network temperatures, resistancesand capacitances, respectively. _QGAINis the total internal gain dueto human activity and electrical devices.Iis the total solar radiationflux received by an internal surface and is calculated as the sum ofradiation directly received without considering multiple reflections,plus the sumof the solar irradiance reflected by others surfaces [16]._mV and h represent air ventilation rate and moist air enthalpy,

    respectively. _

    QHVACis calculated according to a Proportional Integral

    (PI) control on the indoor air conditions [18]. Temperature andhumidity can range in fixed intervals, avoiding the HVAC systemactivation.

    Note that the results obtained by the mentioned new dynamicmodel were compared with those achieved by a standard simula-tion code (TRNSYS 17, type 56 for buildings [17]). For differentbuilding geometries and European weather data, the detected dif-ferences ranged from 4% to 8%. All the details concerning this spe-cific proposed dynamic simulation code will be presented in afuture paper.

    2.2. WLHP system model

    Starting from calculation results of space design loads, two dif-ferent logics can be followed by such code. The first one includesspecific purposely sized WLHP for each space while in the secondlogic different WLHPs of the same size are taken into account. Inorder to balance the eventual water loop thermal energy deficitsor excesses due to the WLHPs running, a natural gas boiler or acooling tower are implemented accordingly. Steady state condi-tions are assumed in each systems running hour (H-th)[22].

    The eventual heat provided by the boiler in theH-th hour is cal-

    culated by:

    QBH _mwH c T0wH TwH H 2

    where _mwH cis the product of the water loop mass flow rate inthe H-th hour by the liquid water specific heat while Tw(H) andT0wHare respectively the entering and exiting water temperaturesof the boiler in the H-th hour (Fig. 1).T0wHis modelled taking intoaccount the running constraints of the WLHP system devices.

    The primary energy consumption and operating economic costof the boiler are calculated as a function of the boiler efficiency, thenatural gas lower heating value and the natural gas unitary cost.

    While boilers allow controlling the outgoing water tempera-ture, this is in general not possible when using cooling towers. Inthis model, the steeper the water loop temperature increasing

    trend is, the stronger and faster the cooling towers reaction is.Here, different operational steps are possible: when the outdoorair temperature is lower than the temperature in the water loopa free cooling of the loop water is activated using the cooling toweras a dry heat exchanger. In the case that such process is not suffi-cient to decrease the water temperature (i.e. for still high exitingtemperature) the cooling tower water pumps are switched on.For medium-difficult working conditions, a first fan set is activatedincreasing the cooling tower efficiency. For heavy working condi-tions, a second fan set in the cooling tower is switched on with afurther increase of its efficiency. This algorithm is implementedin a new simulation code. Subsequently, the hourly water exitingtemperature is iteratively calculated taking into account the designand operating conditions of closed circuit cooling towers [23].

    The primary energyconsumption and operating economic costofthe cooling tower in the H-th hour are calculated according to theconventional average electricity production efficiency in the powerplant and the electricity unitary cost (which vary between coun-tries). The cooling tower water consumption is here disregarded.

    The loop water at T0w(Fig. 1) reaches each WLHP where the fol-lowing calculation is done. Depending on the supply water looptemperatures, variable cooling and heating capacities _QEvHand_QCoHand compressor ratings _LCHare accounted. Since a WLHP

    onoff regulation is considered, the hourly rate hC(H) in which eachWLHP compressor when switched on is calculate as:

    Cooling : hCH QCHVACH=

    _QEvH 3

    Heating : hC

    H QH

    HVACH= _Q

    CoH 4

    224 A. Buonomano et al. / Applied Energy 91 (2012) 222234

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    whereQCHVACHandQHHVACHcorrespond for each i-th indoor space

    to term: QHVACobtained by equations system (1).In the occurring Hhour the Twthat has to be considered with

    respect to the following simulation time step (H+ 1) is calculatedby the following energy balance on the water loop:

    XZ

    i1

    _QCoH hCHi;CoolXZ

    i1

    _QEvH hCHi;Heat

    _mwH cTwH T0wH 5

    whereZis the buildings space. If on the water loop the sum of theheat rejected by the WLHPs running in cooling mode is higher thanthe sum of the cooling load of the heating WLHPs, then: Tw >T

    0w

    and vice versa.For each building space and relative to hC(H) the systems pri-

    mary energy consumption and electricity cost in the H-th hourare calculated. For the whole building and in the same simulationhour the sum of these primary energy consumptions (EWLHP(H))and costs (Ce,WLHP(H)) are added to the eventual ones due to theboiler (EB(H),Cg,B(H)) or to the cooling tower (ECT(H),Ce,CT(H)). Thus,the yearly WLHP system overall primary energy consumption andoperating cost are respectively computed by:

    EXyearH

    EWLHPH EBH ECTH 6

    CXyearH

    Ce;WLHPH Cg;BH Ce;CTH 7

    A parametric optimization procedure is carried out on the boilerand cooling tower temperatures activation in order to get the sys-tems minimum primary energy consumption, according to theWLHP system constraints. In general, the higher the water looptemperature is, the lower the heating mode WLHPs energy con-sumption is. This is due to the higher relative COPs. On the otherhand, the consumptions of boiler and cooling mode WLHPs are

    higher. Conversely, the lower the loop water temperature is, thelower the cooling mode WLHPs energy costs are. In this case theconsumptions of cooling tower and heating mode WLHPs are high-er. In order to reach the optimal water loop temperatures, the fol-lowing cases have to be distinguished because of the differentsystem constraints:

    case 1. Only heating is supplied to the building spaces by theWLHPs (heating only mode);

    case 2. Both heating and cooling are simultaneously supplied tothe spaces by the WLHPs (simultaneous heating and coolingmode);

    case 3. Only cooling is supplied to the building spaces by theWLHPs (cooling only mode).

    The optimization procedure in case 2 is obtained by simulatingall the possible combinations of boiler and cooling tower temper-atures activation by an interval of 1 C.

    2.3. THVAC system model

    Each building thermal zone is equipped by several 4-pipe fancoils, supplied by chilled or hot water depending on the temporalcooling or heating load. In the present simulation model, it is as-sumed that such processes are obtained by two different referencesystems[24]:

    Air to water electric chiller and Traditional natural gas Boiler(TB) for cooling and heating, respectively. This plant is calledAW traditional system;

    Water to water electric chiller (supported by a cooling tower)and Traditional natural gas Boiler (TB) for cooling and heatingrespectively. This plant is called WWtraditional system.

    For evaluating the performance of these systems a new suitablemodel was written. The systems devices are sized by the buildingdesign heating and cooling loads previously calculated. The heatprovided to the building by

    TBand the cooling energy extracted

    by the AWand WWchillers are calculated by algorithms similarto those considered for the WLHP system boiler and heat pumps.Also in this case variable COPs are taken into account. Thus, theyearlyAWandWWtraditional systems total operating cost is com-puted by:

    CAWor WW XyearH

    Cg;TBH Ce;AWChilleror WWH 8

    Included here are electricity consumptions from the fans of theAWchiller and cooling tower and the pump of the WWchiller.

    For both the WLHP and THVAC systems, the performanceparameters of all the devices are extracted from the manufacturersinput regarding a wide range of HVAC operating conditions. Note

    that for outdoor air temperature below 20 C the AWchiller COPincreases while it remains almost constant for the WWchiller. Thisis due to the following reasons: (a) for the AWchiller, the con-denser fans between 20 and 0 C are proportionally and graduallyturning off, below 0 C the system is in free-cooling mode (fans andcompressor are switched off); (b) the COP curve value is constantfor theWWchiller when cooling tower water temperatures corre-spond to outdoor air temperatures and are between 20 and 0 C.

    An optimization procedure for minimizing the primary energyconsumptions for theWWchiller cooling tower is also carried out.

    For the economic analysis, the capital cost of WLHP and THVACsystems and the operating cost due to the space air diffusion andthe water pumping are assumed to be almost the same[4].

    3. Simulation

    The simulated performance of a WLHP system is compared withthose obtained by the above described traditional systems. Theconsidered case study refers to a multi-floor office building. Lengthand width are 40 and 20 m, respectively, the height of each floor is3.5 m. The buildings longitudinal axis is EastWest oriented(Fig. 2). The reported results were generated from a simulated 7-floor building block. For each floor, a core zone (interior zone with-out direct transmission or radiation external loads) is divided bypartition walls with a surrounding perimeter zone (Fig. 2). Forthe present case study, the ratio between the building core zonevolume and the total (core plus perimeter) volume is 0.54. For sucha building block, a self-sufficient HVAC system is considered. Sinceadiabatic partition floors are hypothesized, only nine differentthermal zones are modelled (Fig. 2). The ratio between the win-dows surface areas and the building lateral areas is 0.50. Uniformwindow distribution over the whole lateral surface is considered.

    20.0 m

    3.50 m

    40.0 m

    core zone

    perimeter zone

    perimeter zone

    N

    Fig. 2. Simulated building: plan view.

    A. Buonomano et al. / Applied Energy 91 (2012) 222234 225

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    Simulated indoor ventilation rates and internal load assump-tions are reported inTable 1, here the considered values are se-lected according to the typical standards for office buildings.

    The absorbed solar radiation of the external surfaces and thesky temperature are calculated following the hourly TRY weatherdata profiles [25,26]. For all the exterior opaque surfaces on thebuilding, the absorption and convective heat transfer coefficientsare 0.5 and 18 W/m2 K, respectively.

    The wall and window thermal properties (specific heat, densityand conductivity), are chosen starting from suitable U-values se-lected according to the building type and the outdoor climate.From this point of view, the Heating Degree Days (HDD) index[27]is considered and calculated with the TRY weather data forall the considered climatic zones:

    HDD h

    24

    XyearH

    tbaltdb;oH 9

    By the HDD indexes, six climatic zones are defined (Table 2).The new office buildings (Building I) were simulated according tothe relevantHDDzone, with the referential thermal transmittancesequated to the threshold values reported in an Italian Decree con-cerning the building energy efficiency (D.Lgs. n. 192/05 receivingthe EPB Directive 2002/91/EC) (Table 2). For existing building sim-

    ulations (Building II), higherU-values are considered (Table 2). Thethickness of building walls ranges between 30 and 40 cm, depend-ing on the weather zone: the harsher the winter climate, the higherthe considered wall thickness. The walls are composed by concretebricks (k= 0.429 W/mK,q= 1200 kg/m3,c= 921 J/kg K) and insula-tion (k= 0.039 W/mK, q = 25.0 kg/m3, c= 1250 J/kg K). For interiorpartitions, here considered as adiabatic, the same configurationand materials of the above mentioned walls are taken into account;the thickness in this case is 23 cm. Ceiling and floor material prop-erties are similar to those previously reported; the thickness in thiscase is 30 cm. For windows, a double-glazed system is considered:from 464 (4 mm glass, 6 mm internal gas, 4 mm glass) to 4164. Standard or low-eglasses and different gasses (air or argon) areconsidered in accordance with the desired relative thermal trans-mittance. The building time constant calculated according to[28]ranges from 27.3 to 25.7 h for Buildings I and II, respectively.

    Concerning the solar heat gain through the windows, it is as-sumed that the direct solar radiation is absorbed only by the floorwith an absorption factor of 0.3. Regarding long wave radiation, theabsorption and emission factors of interior surfaces are assumedequal to 0.2 and 0.8, respectively. The simulated shading coeffi-cient varies according to standard lighting requirements for offices[19]. The solar and visible window transmissivities for different cli-mate zones are reported inTable 3[29].

    Table 1

    Simulation assumptions.

    Ventilation rate Internal gain Crowding index Sensible to total heat ratio

    1.4 Vol/h Core zone lights: 10 W/m2 from 8.00 to 18.00 Core zone: 0.12 person /m2 0.870.91Perimeter zone lights: 10 W/m2 from 13.00 to 18.00 Perimeter zone: 0.06 person/m2

    Core machinery: 15.0 W/m2

    Perimeter machinery: 10.0 W/m2

    People: 115 W/person

    Table 2

    ReferenceU-values for Building I and Building II.

    Climate zone U(W/m2 K)

    Building I ult imate l imits ( Italian D.Lgs. n. 192) Building II

    Opaque vertical wall Window glass Opaque vertical wall Window glass

    HDD< 600 A 0.62 3.7 0.96 4.5601

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    The simulation starts at 00:00 of January 1st and ends at 24:00of December 31st. The considered daily HVAC running time is from8:00 to 18:00 (10 h per day). The calculations are carried out for 28different European TRY weather zones (Table 4).

    The threshold temperature, above which the HVAC cooling sys-tem is activated, is adjusted between summer and winter monthsto assure satisfactory thermal comfort between zones during thewhole year. Activation temperatures were set at 26 C and 23 Cfor summer and winter, respectively. A heating mode was consid-ered for winter months for indoor temperatures lower than 20 C.The adiabatic behavior hypothesis is supported by these tempera-ture conditions, along with the assumption of thermally well-insu-lated interior partitions (3 cm, k= 0.039 W/mK)[18]. The relativehumidity of the indoor air is maintained between 50% and 60%.The considered WLHPs temperatures constraints and the HVAC

    systems simulation assumptions are reported inTable 5. The per-formance of all the considered devices for both WLHP and THVACsystems are calculated for a wide range of HVAC operating condi-tions, as defined by manufacturers.

    The operating algorithm of the centralized boiler and coolingtower is summarized inTable 6,and varies according to the WLHPsoperating mode. The logic of the algorithm is as follows: if onlyheating is required by the WLHPs, the loop water temperature ismaintained at the desired boiler exiting temperature Tw. Whenboth heating and cooling are simultaneously required by theWLHPs, the loop water temperature is maintained between Twand the optimal cooling tower activation temperature T0w;CT. Forthe latter scenario, temperature control is achieved through sev-eral strategies: (1) boiler activation; (2) both boiler and coolingtower standby; (3) cooling tower standby; (4) cooling tower free

    Table 4

    Climatic zones, HDD index and HDD zones.

    Country Climatic area Latit. N HDD(Kd) HDD zone

    UK Lerwick 60080 4024 FEskdalemuir 55190 3970 F

    Aberporth 52080 3178 FKew (London) 51280 2900 E

    Denmark Copenhagen 55460 3696 FEire Dublin 53260 3133 F

    Valentia 51560 2741 ENetherlands Eelde 53080 3427 F

    De Bilt 52060 3194 FVlissingen 51270 2877 E

    Belgium Oostende 51120 3147 FUccle (Bruxelles) 50480 3020 FSaint Hubert 50020 4188 F

    France Trappes 48460 3069 FNancy 48410 3245 FMacon 46180 2980 ELimoges 45490 2899 ECarpentras 44050 2266 ENice 43390 1650 D

    Italy Bolzano 46280

    3087 FVenezia 45300 2317 EMilano 45260 2551 EGenova 44250 1560 DRoma 41480 1663 DFoggia 41310 1759 DCagliari 39150 1349 CCrotone 39040 1409 CTrapani 37550 976 C

    Table 5

    HVAC systems assumptions.

    WLHPsystem AWchiller and boiler WWchiller and boiler

    Heating

    Minimum WLHP inlet water:Tw= 8 C (DT= 6 C)

    Design heating water temperatures = 4540 C

    Maximum inlet water Tw= 23 C

    Cooling

    Minimum WLHP inlet waterTw= 13 C

    Design cooling water temperatures = 712 C

    Maximum inlet water: Tw= 44 C(DT= 6 C)

    Boiler efficiency,gB= 1.06 Design AW chiller inlet air ,T= 44 C (DT= 6 C),minimum inlet air T= 16 C

    Design WW chiller inlet water, Tw= 50 C (DT= 6 C), minimum inlet waterTw= 20 C, design cooling tower water DT= 6 C

    Natural gas lower heating value,

    LHV = 9.59 kW h/N m3

    A. Buonomano et al. / Applied Energy 91 (2012) 222234 227

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    cooling; (5) cooling tower activations determined by different tem-perature trends. The boiler activation depends on the water looptemperature and the desired boiler exiting temperature. Whenthe water loop temperature ranges between the desired boilerexiting temperature and the cooling tower activation temperature,both boiler and cooling tower are on standby. For water loop tem-peratures higher than the cooling tower temperature, activation ornon-activation are both possible according to exertion strategy op-tions. When the water loop temperature is lower or higher than theoutdoor air wet bulb temperature, the cooling tower is on standbyor in free cooling mode, respectively. The free cooling exertion onthe cooling tower is also determined by outdoor wet bulb temper-ature. Finally, the fifth case is when the cooling tower activationtakes place for a water loop temperature higher than the coolingtower activation temperature, T0

    w;CT.

    Here, the devices exertion is regulated proportionally to thetemperature increasing trend. The exertions are regulated by threeconditions. The first one requires that the water loop temperatureis higher than the outdoor air wet bulb temperature while the lat-ter is higher than zero; the second condition is based on the differ-ence (k) between the water loop temperature and the coolingtower activation temperature; the third condition is based on thewater loop increasing trend (p). Depending on the values of kand p three exertions on the cooling tower pump and fans arehypothesized. The very same cooling tower control logic is appliedwhen only cooling mode is required. Note that the optimizationprocedure for minimizing the primary energy consumption led tofinding the ultimate activation temperatures for the boiler andcooling tower devices in reference to the different European cli-matic zones.

    4. Results and discussion

    Table 4reports the considered TRY weather areas, the HDD in-dexes calculated by (9) and the corresponding climate zones. Notethat the investigated locations are included between C and F HDDzones and thus the corresponding buildings elements are modelledstarting from the corresponding features reported in Tables2 and 3.

    For Building I and Building II, the yearly heating and cooling en-ergy requirements (QHVAC) vs. the HDDindex for all the investigatedclimatic regions are reported inFig. 3. Although other weather in-dexes are often considered in literature[27], the HDD is preferredhere as anindependentvariable, notonlyfor itspopularityand avail-ability with regard to many locations, but mostly for its satisfactorycorrelation obtained with the calculated results. Regarding the po-

    tential saving of the WLHP system vs. the traditional ones, it is pos-sible to observe in Fig. 3 that for both extremely low and high HDDs,very low simultaneity is obtained because of very low heating andcooling requirements. Thus, for these weather zones low or no sav-ings can be achieved. Conversely, for HDDs around 3000 Kd forBuildingI and2000 Kd forBuilding II theheatingor cooling demandsare quite similar and a potential saving is achievable. It is possiblehowever, that such occurrence is not realized as it is better high-lighted in the following.

    WLHPs operating modes are selected in relation to buildingspaces heating and cooling energy requirements, subsequently.The boiler and cooling tower switch-on temperatures are evi-dently a function of such modes. Note that the performance ofthe WLHP system strongly depends on these activation tempera-tures. For the heating only mode and for all the considered zones,a boiler minimum activation temperature of 8 C(Table 5) in light

    Table 6

    Boiler and cooling tower control logic.

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    of WLHP system constraints must be respected. The simulationhowever shows more energy saving when temperature is loweror equal to 6 C (seeTable 7, where for Building I the theoreticaloptimal temperatures T0

    w;B

    are reported closed by round brackets;such temperatures could be useful when future generation ma-chines can over lap system constraints). Although a higher waterloop temperature causes higher WLHPs COPs, the overall energyefficiency of system decreases.

    It was found that for the simultaneous heating and coolingmode, the optimal boiler activation temperatures T0w;B range from9 to 16 C, all that in relation to the investigated zones, for bothBuilding I (Table 7) and Building II. To maximize the WLHPs COPin the northern climate zones, the boiler optimal activation tem-peratures is likely higher than 13 C (which is a system constraint,Table 5), unfortunately for others zones the calculated theoreticaloptimal temperatures are not allowed (Table 7). When heatingand cooling are simultaneously required, the loop water tempera-

    ture must not surpass 23 C(Table 5). The corresponding coolingtower activation temperatures T0w;CT, detected for Building I are re-ported inTable 7. Here, it is possible to observe that the theoreticaloptimal temperatures often surpasses the constraint temperature.

    If cooling only mode occurs, the maximum water loop temper-ature cannot exceed 44 C(Table 5). In this case the obtained opti-mal cooling tower activation temperatures T0w;CT for Building Irange from 27 to 33 C (Table 7). The optimal switch-on temper-atures of the traditional system cooling tower for Building I rangebetween 21 and 24 C. For sake of brevity, the results of the optimi-zation procedure for Building II, however slightly higher thanBuilding I, are not reported.

    An example of loads simultaneity on the water loop is reportedinFig. 4. Here, the heating, cooling and total heat load profiles froma sample of 3 days in October are depicted for Building I which islocated in the weather zone of Copenhagen. In the high side ofthe figure the whole simulated season is reported. In these daysa heating _QWL;Heat;TOT and cooling _QWL;Cool;TOT load simultaneity

    on the water loop occurs (Fig. 4) and a potential WLHP system en-ergy saving is detected. Note that the space cooling load becomes awater loop heating load (lines in positive graph zone) and vice ver-sa for the space heating load. The net result of thermal load on thewater loop_QWL;TOTis obtained by the simultaneous _QWL;Heat;TOTand_QWL;Cool;TOT. In general, such net thermal load is usually balanced by

    the centralized system devices. For the first sample day ofFig. 4, tobalance the detected _QWL;TOT (>0) the cooling tower is activatedonly when the water loop temperature reaches the optimal activa-tion thresholdT0w;CT (22 C,Table 7). A similar phenomenon occursin the second sample day reported inFig. 4. In the third day to bal-ance the detected _QWL;TOT(

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    result of the water loop temperature reaching the optimal activa-tion threshold T0w;B (15 C,Table 7). All such operating conditionsare clearly visible inFig. 5, where for Copenhagen the temperatureprofile of the water loop T0w,Fig. 1), for the same above mentionedsample days, are reported. Here, the profiles of the TRY outdoor airdry bulb and wet bulb temperatures are also shown. Both dry andwet bulb temperature profiles are provided for the whole simu-lated season in the high side of the same figure.

    For both Buildings I and II the yearly primary energy WLHP sys-tem consumptionsEare reported inTable 8. Lower yearly primaryenergy consumptions of Building I vs. Building II are detected onlyfor the northern Europe zones. The opposite is true for the south-ern zones where lower yearly primary heating consumptions donot offset the higher cooling ones. In the same table, the percent-age share of energy consumptions due to the WLHPs (EWLHP), theboiler (EB), and the cooling tower (ECT) are also shown. The colder

    the zone the higher the boiler consumption, and vice versa forthe cooling tower. When comparing Building II to Building I theboiler usage decreases; this is caused by two different effects.The first one is ascribed to the lower building heating demandthanks to the better insulated envelope in Building I, the second ef-fect is due to the increase of simultaneous heating and coolingrequirements. A higher utilization of the cooling tower is observedin this comparison, however the corresponding primary energy in-crease is lighter than the boiler energy consumption decrease. Ta-ble 8reports the relative primary energy saving of WLHP systemcompared to both traditional systems (AW(RAW) and WW(RWW)).The present study shows that for the northern European zonesRAWoften surpasses 20% reaching in several cases 3035%. Higherrelative primary energy savings are achieved in Building II mostlybecause energy requirements are higher when compared to Build-ing I. RAWvalues are always found higher than RWWones in bothBuilding I and II for all the investigated zones while they are some-what similar for very high HDDs.

    InFig. 6the primary energy requirements for all the consideredHVAC systems are reported for two sample locations. This graph isto highlight the systems performances relative to different weath-er zones. A higher energy consumption is always detected in Build-ing II when compared to Building I for northern Europe zones (e.g.Copenhagen). This is mainly due to a better envelope response tothe typical high heating, low and very low cooling loads. Con-versely, a lower energy consumption is always detected in BuildingII when compared to Building I for southern Europe zones (e.g. Tra-pani). This is mostly a result of moderate heating loads in additionto a difficulty of the well insulated building to dissipate the highinternal and solar cooling loads. Note that, for locations typicallylocated at intermediate latitudes, where remarkable heating andcooling loads are obtained (e.g. Bolzano and Venezia) the energyconsumption trends depend on the ratio of cooling and heating

    7032 7056 7080 7104

    30

    25

    20

    15

    10

    5

    hours [h]

    wT

    dbT

    wT

    [C]

    wbT

    0 8760

    Fig. 5. Building I: temperature profiles (October at Copenhagen).

    Table 8

    Primary energy consumptions and savings.

    Country Climatic area Building I Building II

    E kW hy m2

    EWLHP(%) EB(%) ECT(%) RAW(%) RWW(%) E kW hy m2

    EWLHP(%) EB(%) ECT(%) RAW(%) RWW(%)

    UK Lerwick 33.2 43.1 55.6 0.6 1.2 2.6 58.4 42.3 57.7 0.0 4.3 4.2Eskdalemuir 30.1 50.8 46.9 1.1 10.2 8.8 44.0 52.7 47.1 0.1 24.1 23.9Aberporth 20.1 63.5 31.0 2.5 24.6 14.3 26.9 64.2 35.5 0.2 37.6 36.9Kew (London) 20.6 75.4 17.8 3.1 33.3 19.6 29.4 61.2 36.9 0.8 31.4 30.3

    Denmark Copenhagen 34.1 65.3 28.1 2.5 16.8 5.8 46.5 60.4 38.3 0.5 19.3 17.1

    Eire Dublin 19.9 70.0 23.4 2.8 28.2 20.9 31.7 58.4 40.8 0.3 27.2 26.5Valentia 18.0 71.3 20.0 3.7 22.2 18.9 25.4 59.6 39.5 0.4 28.2 27.2

    Netherlands Eelde 29.8 67.2 25.1 3.2 20.2 13.4 35.4 68.8 29.2 0.8 34.5 32.1De Bilt 27.2 72.5 19.0 3.5 25.7 12.6 33.6 69.3 28.7 0.8 33.9 31.3Vlissingen 24.7 70.7 20.1 3.8 22.7 15.5 29.1 71.8 26.7 0.6 35.9 35.2

    Belgium Oostende 23.8 73.1 18.6 3.4 26.5 16.1 31.2 67.7 30.9 0.6 34.1 33.4Uccle (Brux.) 27.3 76.5 12.2 4.7 27.7 12.2 33.4 71.4 25.4 1.3 33.7 30.0Saint Hubert 40.6 50.0 47.1 1.2 1.7 2.6 53.5 55.8 43.6 0.2 20.3 19.9

    France Trappes 27.2 76.8 13.6 3.4 23.8 9.1 32.5 75.3 22.5 0.8 32.1 30.2Nancy 30.5 77.4 9.7 4.7 23.3 5.4 34.1 78.9 17.7 1.2 35.1 32.6 Macon 34.6 78.9 7.9 4.8 22.0 0.5 34.5 81.3 13.3 1.9 34.5 28.7 Limoges 27.6 81.6 6.4 4.3 25.8 4.7 32.5 73.6 22.6 1.4 29.9 26.5Carpentras 39.7 80.7 1.6 6.4 18.8 24.2 31.8 79.2 11.4 3.4 29.3 13.2Nice 45.9 80.6 0.5 6.8 15.2 30.7 36.0 76.3 10.7 4.7 17.8 5.8

    Italy Bolzano 35.7 84.0 2.2 5.4 29.7 5.2 33.3 85.6 6.9 2.9 40.7 33.2Venezia 45.1 79.3 5.3 6.0 19.7 14.3 38.0 78.0 9.8 4.8 29.8 16.0Milano 43.0 80.8 3.8 6.0 24.2 4.4 39.5 79.4 11.9 3.4 31.6 20.1Genova 44.0 78.8 2.6 7.3 16.2 27.6 34.5 76.0 10.9 5.1 21.1 0.8Roma 45.0 80.7 0.0 7.5 19.8 30.0 35.0 78.3 8.2 5.3 23.2 6.2Foggia 43.5 81.3 0.8 7.0 21.2 31.1 34.8 75.7 8.3 6.2 25.1 3.1Cagliari 45.3 79.8 0.0 7.9 15.7 40.1 32.4 79.4 4.2 6.4 21.8 9.0Crotone 46.3 80.4 0.0 7.7 19.0 34.7 35.1 78.0 6.3 6.1 22.2 11.9

    Trapani 57.0 80.2 0.0 7.7 15.2 44.2 39.7 79.4 1.2 7.6 18.8 24.6

    230 A. Buonomano et al. / Applied Energy 91 (2012) 222234

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    loads as well as the HVAC efficiencies. These findings are also dis-played in above described Fig. 3 which additionally shows thatlower heating and higher cooling requirements are always ob-tained by the better thermally insulated Building I vs. the tradi-tional Building II. Heating requirements surpass the cooling onesfor highHDDs, the opposite is true for low HDDindexes. In partic-ular, passing from the Building I to the Building II, the higher theHDDs the higher the increase accounted for the heating require-ments, for the cooling ones the opposite is true. The sum of theheating and the cooling energy requirements of Building I and IIis depicted in the right top graph inFig. 3. Here it is possible to ob-serve that for high HDDs (northern Europe) the yearly overall en-ergy requirement for both heating and cooling ( QTOT) of BuildingI is remarkably lower than that of Building II. The contrary occursfor low HDDs (southern Europe). In addition a quasi steady statebehavior ofQTOTis exhibited for Building II for a large HDDinterval.

    Fig. 7shows primary energy savings as a function of theHDD in-dexof the investigated climatic areas for both Buildings I and II. TheWLHP system energy saving vs. the traditional systems increaseswithHDD until about 3000 Kd. For higher HDDs a decrease is de-tected. For all the southern Europe climatic regions (low HDD)

    the consideredWWtraditional systems perform better than WLHPones. In general, the WWtraditional system has lower energy con-sumption than the AW system while for high HDDs they reportsimilar results. This is essentially due to the AWand WW tradi-tional system running principle. In particular, for zones with veryhigh HDDs the system running is obtained, for more than 75% ofthe occurrences, with outdoor air temperatures below 20 C. Forthis reason, and for the above mentioned considerations concern-ing the AWand WW chillers efficiencies, the two traditional sys-tems show similar performances. The energy saving depends alsoon the electricity to gas consumption ratio. An increase of such ra-tio is everywhere obtained when shifting from traditional systems

    to the WLHP one. Remarkable energy savings are detected in thecold winter zones (about 3000 Kd), where high gas consumptionswere expected. For the coldest winter zones (HDDs higher than3500 Kd) energy saving are very low, this is because of the low ra-tio between cooling and heating load. When no significant coolingloads are detected (seeFig. 7for Building II) the savings are dueonly to the gas to electricity consumption shifting. The very low ra-tio between cooling and heating load implies that only few WLHPsare in cooling mode. In light of this, a higher consumption of theboiler caused by the water loop temperature constraints (seeTa-ble 7, Tw> 13 C) is not counterbalanced by a lower heating con-sumption of the WLHPs due to the increase of their COPs. Underthese conditions Building I shows a weak simultaneity while theWLHP system performs similarly to the traditional systems.

    Fig. 8shows how a remarkable amount of primary energy sav-ing can be achieved through a decreased natural gas usage in theWLHP system compared to the traditional ones in Uccle (Bruxelles)and Limoges.

    Table 9presents the environmental impact analysis in terms ofCO2emission due to the national electricity production (elCO2 andthe natural gas combustiongasCO2 . Note that such parameters re-turn the same results as emission factors achieved by LCA (Life Cy-cle Analysis) since CO2emissions of the manufacturing processesare almost the same for the considered HVAC systems. CO2emis-sion for the WLHP system _mCO2 , the AWsystem _mCO2AW and theWWsystem _mCO2WW, are reported for both Building I and II. In thesame table, CO2emission relative savings of the WLHP system vs.both traditional systems RCO2AW and R

    CO2WW are reported as well.

    Remarkable CO2 savings are reached for many European climaticregions. Note that all such values are strongly dependent on theadopted method for electricity production in the relevant countries[30]. The highest RCO2AW and R

    CO2WWreached in France are due to the

    very low corresponding elCO2 .InTable 10system operating costs and relative economic sav-

    ings are reported. Here, the total WLHP operating costs C(VAT ex-cluded) and the relative economic savings of WLHP vs. AWand

    WWtraditional systemsReAWand ReWW) are reported. These calcu-lations were subject to the countrys unitary costs of electricity andnatural gas (ce and cg, Table 10 [30]). Results show remarkablemoney savings are obtained only in the high HDDzones. Note thatthe percentage economic saving of the WLHP system vs. the tradi-tional ones ReAW and R

    eWW can increase (e.g.: Denmark, Nether-

    lands and France) or decrease (e.g.: all the other consideredCountries) vs. the corresponding energy saving. A primary energysaving may even become an economic loss (e.g.: Bolzano vs. WWtraditional system). Conversely, a primary energy loss can becomea monetary saving (e.g.: Nice vs. WW traditional system). Thesebehaviors are mainly due to: (i) the electricity to natural gas

    0

    20

    40

    60

    80

    Copenhagen Trapani

    E [kWh/m2y]

    Building I -WLHP Building II - WLHP

    Building I - AW Building II - AW

    Building I - WW Building II -WW

    Fig. 6. WLHP and THVAC systems primary energy consumption.

    -45

    -30

    -15

    0

    15

    30

    45

    500 1500 2500 3500 4500

    WLHP vs. AW

    WLHP vs. WW

    -45

    -30

    -15

    0

    15

    30

    45

    500 1500 2500 3500 4500

    WLHP vs. AW

    WLHP vs. WW

    Building I Building II

    R[%]

    HDD [Kd]HDD [Kd]

    R[%]

    Fig. 7. Primary energy savings vs. HDD index.

    A. Buonomano et al. / Applied Energy 91 (2012) 222234 231

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    consumption ratio obtained for different zones by zone shiftingfrom traditional systems to WLHP one; (ii) the national electricityand natural gas costs. From this point of view a sensitivity analysisshould be carried out for each investigated climatic area: Trappes(Paris) and Roma were selected as an example, results are shownin the graphs reported inFig. 9. For such locations the economicsavings ReWW increase and decrease almost linearly vs. cgand ce,respectively.Fig. 9also shows that for Roma no economic profit-ability of the WLHP system is detected for whatever combinationofceand cg. Almost the contrary occurs in Trappes.

    5. Conclusions

    Although the considered simplified approach does not allowaccurate system feasibility or operating analyses measures, inter-esting operating guidelines can be found in the presented results.

    Optimal setting of the system operating conditions aimed atreaching the lowest energy and economic costs were obtained bythe implementation of a new simulation model. The latter allowsto take into account the system constraints and to avoid traditionalempirical field attempts. Special attention was paid in order to

    Uccle (Bruxelles) Limoges

    0 50 100

    WW

    AW

    WLHP

    0 50 100

    WW

    AW

    WLHP

    0 50 100

    WW

    AW

    WLHP

    0 50 100

    WW

    AW

    WLHP

    Electricity Natural Gas

    Building I

    Building II

    [%]

    [%]

    [%]

    [%]

    Fig. 8. Building I and II: electricity to natural gas consumption ratio for WLHPand traditional systems.

    Table 9

    Systems environmental impact.

    Country Climatic area elCO2gCO2kW h

    gasCO2

    gCO2kW h

    Building I Building II

    _mCO2 (kg/y m2) RCO2AW (%) RCO2wW(%) _m

    CO2 (kg/y m2) RCO2AW (%) RCO2wW(%)

    UK Lerwick 514 198 7.4 3.3 4.7 13.1 2.0 1.9Eskdalemuir 6.8 8.2 6.7 9.9 21.9 21.6Aberporth 4.6 22.9 11.9 6.1 35.4 34.7Kew (London) 4.7 31.7 17.0 6.7 29.3 28.0

    Denmark Copenhagen 604 7.7 15.1 3.4 10.5 17.1 14.7

    Eire Dublin 575 4.8 24.3 15.8 7.5 22.1 21.3Valentia 4.3 18.7 15.0 6.0 23.4 22.2

    Netherlands Eelde 548 6.6 19.3 12.3 7.9 33.4 30.9De Bilt 6.1 24.8 11.3 7.5 32.8 30.1Vlissingen 5.5 21.8 14.4 6.5 34.8 34.0

    Belgium Oostende 250 3.0 49.4 45.6 4.3 56.8 56.6Uccle (Brux.) 3.2 50.7 44.9 4.4 57.1 55.9Saint Hubert 6.4 22.4 20.7 8.2 43.3 43.2

    France Trappes 81 1.5 70.2 69.2 2.3 75.6 75.5Nancy 1.5 73.3 72.2 2.1 79.0 78.9Macon 1.5 71.6 70.0 1.9 80.5 80.2Limoges 1.1 74.6 73.1 2.3 73.2 73.0Carpentras 1.3 61.1 54.2 1.6 73.2 72.0Nice 1.4 49.3 36.4 1.8 61.7 59.1

    Italy Bolzano 483 6.8 33.9 12.7 6.4 46.4 40.3Venezia 8.6 22.3 8.7 7.3 34.7 23.2Milano 8.2 27.7 2.3 7.6 36.8 27.3Genova 8.3 17.8 23.7 6.6 25.0 5.8

    Roma 8.5 21.1 26.6 6.7 26.4 0.2Foggia 8.2 22.6 27.2 6.7 28.5 3.7Cagliari 8.6 16.7 37.3 6.2 25.1 2.6Crotone 8.7 19.9 32.2 6.7 24.9 6.0Trapani 10.8 15.5 43.5 7.5 20.4 20.7

    232 A. Buonomano et al. / Applied Energy 91 (2012) 222234

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    demonstrate the difference between the WLHP systems perfor-mance and both traditional systems equipped by air to waterand water to water chiller and natural gas boiler.

    A case study with two types of office buildings was developed.As a function of the European TRY climatic areas and space loadsprofiles, the following simulation results were obtained.

    The minimum total energy consumption of the WLHP systemare obtained:- in heating only mode when the ultimate boiler activation

    temperatures are set equal the current WLHPs constraint;- in heating and cooling simultaneous mode, for largest boiler-

    cooling tower temperature standby intervals. The WLHPs COPincrease for smaller intervals resulted not sufficient to coun-terbalance the subsequent higher energy consumption of thesystem;

    - in cooling only mode when the cooling tower activation tem-perature is the optimal one obtained for the selected climaticarea.

    The WLHP system relative primary energy saving vs. traditionalsystems depends on building heating and cooling simultaneity.Concurrently, it depends on the increase of the electricity to gasconsumption ratio obtained by shifting from traditional toWLHP systems. Such criteria are summarized in the HDD index:the highest primary energy savings are detected in climaticareas around 3000 Kd. In weather zones with extreme lowand highHDDs, moderate (or even null in water to water chiller)energy savings were achieved.

    The CO2 emission of the investigated systems depends on theobtained primary energy saving and in particular on the powerresource of the analyzed European Countries. The relativeavoided CO2of the WLHP system reaches in some cases remark-able rates (around 40%).

    The eventual operating economic saving vs. the considered tra-

    ditional systems strongly dependents on national electricityand natural gas costs. The best results are obtained in Denmarkand northern France (between 35% and 40%).

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    Table 10

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    Eire Dublin 15.49 15.15 1.3 21.7 12.5 2.0 18.6 17.7Valentia 1.2 16.5 12.5 1.6 20.1 18.8

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    France Trappes 7.81 12.62 0.8 39.4 31.2 1.0 50.3 49.4Nancy 0.9 39.8 30.0 1.1 53.2 52.0Macon 1.0 37.0 24.5 1.0 52.7 50.0Limoges 0.8 40.5 28.3 1.0 47.3 45.6Carpentras 1.1 27.0 5.5 1.0 43.5 34.5Nice 1.3 20.4 18.5 1.1 29.8 14.6

    Italy Bolzano 16.27 14.26 2.3 23.8 6.2 2.1 31.8 21.4Venezia 2.8 16.2 22.1 2.4 22.4 4.8Milano 2.7 19.4 14.1 2.5 23.7 8.6Genova 2.8 14.2 32.8 2.2 15.7 10.6Roma 2.9 18.2 34.4 2.2 18.9 15.5Foggia 2.8 19.5 36.2 2.2 20.3 13.0Cagliari 2.9 14.5 43.5 2.0 17.4 18.3Crotone 2.9 17.9 37.9 2.2 18.6 20.2Trapani 3.6 14.9 45.2 2.5 16.7 29.7

    -60

    -40

    -20

    0

    20

    40

    60

    0.06 0.08 0.1 0.12 0.14 0.16 0.18

    ce [ /kWh]

    22181410

    Roma

    Trappes

    Roma

    Trappes[

    %]

    R

    [%]

    WW

    eR

    Fig. 9. Building I: economic saving vs. electricity and gas unitary costs.

    A. Buonomano et al. / Applied Energy 91 (2012) 222234 233

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