RESETTING VAV DUCT STATIC PRESSURE SET POINT Steve Taylor’s ASHRAE Journal Column of November 2015 presents details for direct digital control (DDC) of VAV fans to meet Standard 90.1’s requirement for resetting duct static pressure set point. This paper will focus on the potential energy reductions possible with duct pressure reset control. SYSTEM ENERGY EQUILIBRIUM (SEE) MODELING The objective of a System Energy Equilibrium (SEE) building energy model is to duplicate the hourly performance of a real building at all operating conditions of weather and load; giving flows, temperatures, cooling loads, kW demand of equipment, and total site kW as weather and operational conditions change. The (SEE) model, as presented here, consists of a set of simultaneous equations that obey the laws of thermodynamics, models the hour by hour loads of the building and the response of the central chilled water system (CCWS) to the building loads, and includes the nonlinear performance characteristics of the plant equipment and air side equipment. A (SEE) model iterates to steady state energy equilibrium after a perturbation to the system just as a real system responds; a defining characteristic of a (SEE) model. The primary objective of this paper is to demonstrate the energy effect of VAV fan duct pressure reset control. Where disagreement with the (SEE) model answers exists a discussion sidebar may be provided with input by reviewers and response by the author. THE BUILDING & ASSUMED WEATHER The building selected for this study is defined by the Pacific Northwest National Laboratory (PNNL) study of standard 90.1-20101, a large 13 story St Louis office building, Figure 1, with 498,600 square feet of air conditioned space. A link to the (PNNL) study is given by the reference1. The building Kirby Nelson PE 2/9/2016 schedules and other details of the building, as defined by the (PNNL) study, are in this model design but the plant of this study is designed to a series of articles in the ASHRAE Journal, Taylor 20112. Figure 2 shows the assume weather conditions for the 24 hours to be modeled. The peak building load occurs at 4PM with 100% solar, 99.8F dry bulb and 77.2F wet bulb. The building is modeled with an internal zone that has all electrical and people loads plus the roof load and a perimeter zone that models all wall/glass solar and transmission loads plus air infiltration or exfiltration. Visit http://kirbynelsonpe.com for other papers. MODEL CHARACTERISTICS/LIMITATIONS The model presented here has the following known limitations. All air handlers of the system are assumed to be of the same size and model and to be equally loaded. The chiller/towers are assumed to be of the same size and model and equally loaded. The model is of the total building and not a model of individual spaces within the building. Therefore the fresh air, infiltration, and exhaust, is for the building total. Thermostat set points are assumed to be the same for all interior and/or perimeter spaces. To eliminate any of these limitations requires more computer power than the author presently has available. FIG. 1 Building Page 1 FIG. 2 Weather conditions for assumed 24 hours peak design day AIR SIDE SCHEMATIC A brief discussion of the schematic; the building (yellow) has an internal load of 300.8 ton and the perimeter load is 156.1 ton. The return air of 280,361 CFM is pulled/pushed to the inlet of the VAV fans (blue) where 48,628 CFM is exhausted and 231,733 CFM is pulled into the VAV fans. Fresh air of 41,817 CFM (blue) is pulled in by the VAV fans for a total of 273,551 CFM (red) delivered to the coils by 273 kW of VAV fan power. (dh) = 5.568 & fan efficiency of .657 is modeled to reference one. Fifty five degree air (F) exists the coils (gray) presenting a plant load of 822 ton and air flow of 176,985 CFM to the interior duct system and 96,565 CFM to the perimeter duct system (green). The terminal fans add heat to the air therefore 56.11F air is delivered to the building interior and 57.04F air to the perimeter to meet the respective building loads. The building kW is 731.4, the fan kW 479.1 and the total air side or site kW is 1210.5 as shown on the schematic (gray). Figure 3 is the schematic of the air side system at 4PM peak design day conditions. The values on the schematic are at energy equilibrium and obey the laws of thermodynamics, nomenclature is given at the end of this paper. All values on the schematic are part of the model equations/model. Kirby Nelson PE 2/9/2016 Page 2 2 BLD ft = 498600 %clear sky = 100.0% InfilLat-ton = 30.84 Tdry-bulb = 99.8 # floors = 13 2 Roof ft = 38,354 2 N/S wall ft = 40,560 Infil-CFM = 6811 < Twet-bulb= 77.2 Infilsen-ton = WallNtrans ton= 4.92 E/W wall ft = 27,008 WallStrans ton= 5.30 Wall % glass= 37.5% WallEtrans ton= 4.09 2 Glass U = 0.55 WallWtranston= 3.28 Wall U = 0.09 GlassN trans ton = 17.29 Glass SHGC = 0.40 Wall emitt = 0.55 RoofTrans ton = 33.3 Roofsky lite ton = 0.0 Peopleton = 60 plugton&kW = 93 GlassS trans ton = GlassE-trans ton = 17.29 11.51 GlassW-trans ton = 11.51 7.1 GlassN-solar-ton = Lightton&kW= 115 kW GlassS-solar-ton = 20.8 328 GlassE-solar ton = 404 GlassW-solar ton = 4.7 33.1 BLD kW= FAN kW= 731.4 479.1 Total Bldint-ton = 300.8 (int-cfm)to-per-ret= 176985 Tstat-int= 75.0 SITE kW = (Bld)int-air-ton= -300.8 ^ ^ (fan)int-ter ton&kW= kW 17.7 62.4 GlassTot-solar-ton = 65.7 Tstat-per = 75.0 return ^ (Bld)per-air-ton= -156.1 air Tair supply per= 57.04 Design ABS Bld Ton = Ton 57.6 (int cfm)per-ton = 0.00 > Tot Bldper-sen-ton = 156.1 v 4PM ASHRAE 17.6 GlassTot-trans-ton= 1210.5 Design Tair supply int= 56.11 WallTot trans ton = 15.2 456.91 ^ (fan)per-ter ton&kW= Ton kW 17.7 62.4 0.0 0.0 V Theat-air= 55.0 (D)heat ton&kW = Treheat air = 55.0 (D)reheat ton&kW = (D)int-air-ton= -318.6 Tair coils = 55.00 (coil)H2O-ft/sec= 1.05 (coil)des-ft/sec= 1.20 LMTD= 14.52 (COIL)L+s-ton= 822 -173.8 Tair coils= 55.00 (D)per-CFM= 96,565 duct ^ (coil)gpm= UAdesign= ^ COIL ^ ^ 2.46 31.62 ^ (H)coil= 1.6 (H)coil-des= 2.1 ^ 26 F.A.Inlet 42 ^ 26 VAV FANS TFA to VAV = 99.8 > Tret+FA = 79.57 >(FA)sen-ton = > 168.6 (dh) = 5.568 > (FA)CFM= > (FA)Lat-ton= (FA)kW= 41,817 114.1 0.0 ^ 38.4 2.66 UA= (FAN)ton-VAV= 77.5 (FAN)kW-VAV= 273 statFA= duct (one coil)ton= Tair VAV= 82.72 (FAN)VAV-CFM= 273,551 <<<< 0.0 62.4 Peri (D)per-air-ton= Interior (D)int-CFM= 176,985 >>>(Coil)sen-ton= 682 (coil)cap-ton= 35.7 0.0 ^ V TBLD-AR = 75.00 (Air)ret-CFM = 280,361 Return (FAN)ret-kW= 82 (FAN)ret-ton= 23.2 (Air)ret-ton = 527.9 V Tar-to-VAV = 75.92 VAVret-ton = 436.3 InfilVAV-Lat-ton = 25.49 < VAVret-CFM = 231,733 < > Efan-VSD= 0.657 VAV inlet-sen-ton = 604.9 VAVinlet-lat-ton= 139.6 Fan V ExLat-ton = -5.3 ExCFM = -48,628 SEE SCHEMATIC air side TEx = 75.92 Air temp green kW red Exsen-ton = -91.6 Air CFM purple Ton blue V v FIG. 3 Air Side Schematic at peak conditions. VAV fan kW = 273. (dh)=5.568in Kirby Nelson PE 2/9/2016 Page 3 Figures 4 & 4A give the VAV fan performance with and without duct pressure control. CFM of air and supply air temperatures are the same for both conditions of duct pressure control. The difference is in VAV fan kW where the kW increases at off peak hours, see primary horizontal axis, with constant duct pressure control of Figure 4A. (Duct)interior-CFM (Temp)air-supply-interior (Duct)perimeter-CFM (Temp)air-supply-perimeter FAN VAV-CFM 180,000 159,514 160,000 70 176,985 100,000 66 61.9 62.7 63.3 64 96,565 61.0 80,000 61.4 73,970 58.6 61,363 57.7 59.8 60.3 60.3 59.9 57.3 57.0 40,752 58.2 57.6 40,000 57.0 56.9 56.2 56.2 56.2 56.1 20,000 30,832 60,000 0 62 60 58 AIR TEMP. (F) (CFM) 120,000 FIG. 5 Fan system kW with duct pressure control 68 140,000 56 54 52 FAN kW-VAV (ASHRAE Design)SUPPLY AIR TEMP-CFM & VAV kW-CFM FIG. 4 VAV fan CFM & air temp with duct pressure control FIG. 5A Fan system kW-5.5in constant duct pressure. Figures 5 & 5A give the fan system kW for both conditions of duct pressure control. Duct heat & reheat are zero for these conditions of weather but will become significant with winter conditions, a study we may add in the future. Figure 5A illustrates the VAV fan kW is the big increase with the return fan also increasing a lesser amount due to the constant duct static pressure. The increased fan system kW results in an increase load on the plant as shown next. FIG. 4A VAV fan CFM & air temp with constant 5.5in duct pressure Kirby Nelson PE 2/9/2016 Page 4 FIG. 6 VAV fan kW and plant load with duct static pressure control FIG. 6A VAV fan kW & plant load with constant 5.5in duct pressure. Figures 6 & 6A show the difference in plant load due to the constant duct pressure. The plant load is the same at peak conditions, 4PM 822 ton, but increases as shown by the primary horizontal axis of the two figures. The secondary horizontal axis gives the duct pressure control values. The increased plant load increases the plant kW, to be shown below, but first let’s look at the increase in the air temperature of the constant duct pressure (6A) as it leaves the VAV fan and enters the coils. Kirby Nelson PE 2/9/2016 FIG. 7 VAV fan performance with duct pressure control FIG. 7A VAV fan performance with constant 5.5in duct pressure Figure 7 shows the temperature of air to the coils increases with increased VAV fan kW, as required by the first law, and Figure 7A illustrates the difference in air temperature and VAV fan kW due to the increased VAV fan kW as a result of constant duct pressure. The primary horizontal axis shows the VAV fan efficiency is essentially the same for both conditions of duct pressure and the secondary horizontal axis illustrates the difference in duct pressure. The next figures will look at total system kW demand and therefore energy saving due to resetting duct pressure. Page 5 Note that this is based on the dh=5.568in of Figure 3 peak conditions. A better investment might be in reducing the peak dh=5.568 with a better duct system; perhaps round duct? The next two charts investigate. BLD sq-ft = 498,600 ALL ELECTRIC Peak day Design 24hr BLD.24hr-kW= 10,096 (Fan)24hr-kW = 8,263 (Duct)24hr-heat kW= 0 (FA)24hr-heat kW= 0 Heat24hr-total kW= 0 Plant24hr-kW= 7,683 SYST 24hr-kW = 26,043 FIG. 8 System kW with duct pressure control (CCWS)24hr-kW= BLD.24hr-kW= Total24hr-kW = Weather24h-Ein-ton= SITE24h-kW-Ein-ton = Plant24h-kW-Ein-ton = Total24h-Ein-ton = Pump24hr-heat-ton = AHU Ex24hr-Lat-ton = AHU Ex24hr-sen-ton = Tower24hr-ton-Ex = Total E24hr-out-ton = ASHRAE 15,946 10,096 26,043 6923 5222 2185 14330 -80 -110 -1265 -12875 -14330 Design FIG. 8A System kW with constant 5.5in duct pressure. Comparing figures 8 & 8A illustrates the building kW is the same for both, as required, but the plant kW and air handler kW increase as shown (8A) for all hours except at 4PM peak conditions. The next figures sum these kW values so we can get a handle on the 24 hour energy consumption reduction offered by duct pressure reset control. The two charts below illustrate the 24 hour energy consumption for the two conditions of duct pressure control and also gives the energy in = energy out for the two conditions. Over the 24 hours as defined by Figure 2, the constant duct pressure of 5.5in, right chart, results in 2003kWh greater consumption or an 8.3% increase over the duck pressure control of the left chart. Kirby Nelson PE 2/9/2016 Page 6 on the zone requiring the most pressure; a complicated control system. This analysis finds about 8.3% reduction in kW demand at peak design day conditions for an office building in St Louis. The % savings will decrease for moderate summer and spring/fall weather; how the system will react to winter conditions is of interest to the author and may be included at a later date. Designing a duct system with less static pressure or resetting duct pressure based on time of day or outside temperature seems less likely to result in a visit of Newton’s 5th law, see below. Operating at constant duct pressure with no reset is the safe mode but costs 8.3% to about 2% (estimate) more energy; perhaps the best design in some cases? The two charts above illustrate the effect of reducing the duct pressure to 4.53in at peak design with a more efficient duct design. The left charts gives the 24 hour result with duct pressure control and the right chart is with constant 4.53in duct pressure. The difference is now about 6.5% more energy over the 24 hours at peak design day conditions, down from 8.3% from above. The % energy savings will continue to decrease as the duct pressure at design conditions decreases. Also the difference will decrease during typical summer and spring/fall weather conditions, however I am not sure how the difference will be during winter weather, perhaps a future study? Conclusions MY final conclusion is that this issue needs more tests and (SEE) model analysis. Newton’s 5th law, (If anything can possible go wrong it will) and Newton’s 5th law brings to mind the KISS principle. HOME WORK For those of you who would like to study the action of the office CCWS in more detail I have included the following three figures. The first is the air side schematic at 10AM and the second is the plant schematic at 10AM. The third is a chart of the CFM and air temperatures of the system over 24 hours. NOMENCLATURE given below For the given building and weather I have given a quantitative analysis of Taylor’s ASHRAE Journal article on duct pressure control reset. Taylor points out that STD. 90.1 requires VAV duct static pressure reset based Kirby Nelson PE 2/9/2016 Page 7 2 BLD ft = 498600 %clear sky = 100.0% Tdry-bulb = 87.0 # floors = 13 2 Roof ft = 38,354 2 N/S wall ft = 40,560 InfilLat-ton = 27.50 infil-CFM = 6811 << Infilsen-ton = 7.4 Twet-bulb= 73.0 WallNtrans ton= 2.28 E/W wall ft = 27,008 WallStrans ton= 2.28 Wall % glass= 37.5% WallEtrans ton= 2.00 Glass U = 0.55 WallWtranston= 1.52 Wall U = 0.09 GlassN trans ton = 8.37 Glass SHGC = 0.40 GlassS trans ton = 8.37 Wall emitt = 0.55 RoofTrans ton = 1.8 Roofsky lite ton = 0.0 GlassE-trans ton = 5.57 GlassW-trans ton = 5.57 GlassN-solar-ton = 6.1 2 Peopleton = 60 plugton&kW = 93 Lightton&kW= 115 Total Bldint-ton = 269.4 (int-cfm)to-per-ret= 159514 kW GlassS-solar-ton = 6.6 328 GlassE-solar ton = 55.4 404 GlassW-solar ton = Tstat-int= 75.0 (Bld)int-air-ton= -269.4 Tair supply int= 56.24 ^ (fan)int-ter ton&kW= 4.1 BLD kW= ^ 731.4 FAN kW= 372.6 SITE kW = 1104.0 Design Design ABS Bld Ton = Ton kW 17.7 62.4 GlassTot-trans-ton= 8.1 27.9 GlassTot-solar-ton = 72.1 (int cfm)per-ton = 0.00 > Tot Bldper-sen-ton = 115.4 v Tstat-per = 75.0 return ^ (Bld)per-air-ton= -115.4 Tair supply per= 57.67 10AM ASHRAE WallTot trans ton = 384.79 air ^ fanper-ter ton&kW= Ton kW 17.7 62.4 0.0 0.0 V Theat-air= 55.0 (D)heat ton&kW = Treheat air = 55.0 (D)reheat ton&kW = 0.0 0.0 62.4 (D)int-air-ton= -287.1 533 (coil)cap-ton= (coil)H2O-ft/sec= 28.6 (coil)des-ft/sec= 1.20 LMTD= 13.43 (COIL)L+s-ton= 648 ^ COIL ^ ^ UA= (one coil)ton= (H)coil= (H)coil-des= ^ Tair VAV= 80.35 <<<< (FAN)VAV-CFM= 233,484 57 (FAN)ret-ton= 16.3 (Air)ret-ton = 448.8 ^ 26 VAV FANS > Tret+FA = 77.77 (dh) = 4.432 (FA)kW= 0.0 TBLD-AR = 75.00 (FAN)kW-VAV= 191 87.0 41,817 V 2.1 240,295 Return 120.4 93.6 1.0 (FAN)ret-kW= TFA to VAV = > (FA)CFM= 2.13 24.93 (FAN)ton-VAV= 54.2 >(FA)sen-ton = > > (FA)Lat-ton= ^ ^ (Air)ret-CFM = ^ 26 F.A.Inlet statFA= 42 Peri duct (D)per-CFM= 73,970 (coil)gpm= 30.2 UAdesign= 2.66 ^ 0.83 -133.1 Tair coils= 55.00 duct (D)int-CFM= 159,514 >>>(Coil)sen-ton= (D)per-air-ton= Interior Tair coils = 55.00 V Tar-to-VAV = 75.75 VAVret-ton = 358.0 InfilVAV-Lat-ton = 21.93 < VAVret-CFM = 191,667 < > Efan-VSD= 0.638 VAVinlet-sen-ton= 478.4 VAVinlet-lat-ton= 115.5 Fan V ExLat-ton = -5.6 ExCFM = -48,628 SEE SCHEMATIC air side TEx = 75.75 Air temp green kW red Exsen-ton = -90.8 Air CFM purple Ton blue Kirby Nelson PE 2/9/2016 V v Page 8 Condenser (cond)ton= 382 Pipesize-in = Tower TCR= 92.2 > gpmT= 1800 > (ewt)T= 90.8 tfan-kW= 8.3 TCR-app= 1.42 (H)T-total= 66.4 (H)T-static = 9.9 Tfan-kW= 16.6 Trange= 10.2 tfan-% = 100% (lwt)T = 80.6 Tapproach = 7.6 tton-ex= -385 (COND)ton= 765 PT-heat = -1.31 (H)cond= 43.0 (cond)ft/sec= 9.7 < pT-kW= 27.1 ASHRAE St Louis (chiller)% = 73% (chiller)#= 2 (CHILLER)kW= 363 (chiller)kW/ton= 0.554 Plant kW = < EfTpump= 0.83 Ptower # = 2 Compressor (chiller)kW= 181 (chiller)lift= 50.1 > (H)T-pipe= 13.5 6" T #= 2 T-Ton-ex= -769 Trg+app = 17.8 Design 90.1-2010 Large Office Peak day Weather Design %clear sky = 10AM 100% conditions Tdry bulb = Twet bulb = 87.0 73.0 440.1 Evaporator (evap)ton= 327.6 TER= 42.1 TER-app= 1.95 ^ EVAPton= 655 (H)evap= 34.5 (evap)ft/sec= 8.38 (evap)des-ft/sec= 8.38 ^ V gpmevap= 1200 Psec-heat-ton = (lwt)evap = 44.07 ^ (H)pri-total= 44.3 (H)pri-pipe= 2.5 (H)pri-fitings= 7.0 Tbp= (Ef)c-pump= 0.81 Pc-heat-ton= -0.67 ^ < pc-kW= 12.4 v 44.07 gpmbp= -414 0.30 (H)pri-bp= v (ewt)evap = -1.80 Psec-kW= 21.2 Efdes-sec-p = 0.80 Efsec-pump = 0.70 > 57.17 > (ewt)coil= 44.1 (H)sec= 100.6 40 PLANTton = 648 (H)sec-bp= 0.00 Pipesize-in = 8.0 (H)sec-pipe= < (gpm)sec= 786 < (lwt)coil= 64.1 Pchiller-# = 2 St Louis Performance 10AM 10AM chillerkW/evapton= 0.554 All Electric Fuel Heat kW THERM Design BLD.kW= 731.4 plantkW/site ton= 0.679 CCWSkW/bld ton= 2.11 Ductheat= 0.0 WeatherEin-ton = 430.5 (FA)heat= 0.0 (Site)kW-Ein-ton = 314.0 Heat total = 0.0 PlantkW-Ein-ton = 125.2 PlantkW= 440.1 Total Ein-ton = 870 SystkW = 1544.1 Pumptot-heat-ton = -3.8 AHU ExLat-ton = -5.6 (Fan)kW = BLD.kW= 372.6 0.00 0.00 731.4 0.00 Plant 1544.1 SEE SCHEMATIC Ton Blue kW Red AHU Exsen-ton = -90.8 CCWSkW = 812.7 Water temp pink Tower Tton-Ex = -769 1544.1 Water gpm orange Total Eout-ton = -870 Kirby Nelson PE 2/9/2016 SystkW = air temp green Page 9 (FAN)VAV-CFM 6,239 33,674 11,225 41,817 41,817 41,817 499 41,817 280,000 273,551 260,000 233,484 240,000 220,000 231,733 200,000 180,000 191,667 78.04 82.72 160,000 77.76 80.35 140,000 120,000 92,195 75.92 75.75 75.57 100,000 80,000 69,330 60,740 85,956 60,000 40,000 20,000 1,125 499 499 0 174 157 151 174 392 648 695 755 822 590 372 241 95 90 85 80 75 70 AIR TEMPERATURE (F) (FA)-CFM (Temp)air-VAV to coil 26 Coils sensible ton 32,422 (CFM) (VAV)ret-CFM (Temp)air ret-to-VAV 65 60 Plant load = 26 Coils latent + sensible ton (ASHRAE Design)CFM & AIR Temp TO COIL & COIL LOADS References 1. Liu, B. May 2011. “Achieving the 30% Goal: Energy and Cost Savings Analysis of ASHRAE Standard 90.1-2010” Pacific Northwest National Laboratory. http://www.energycodes.gov/achieving-30-goalenergy-and-cost-savings-analysis-ashraestandard-901-2010 2.Taylor, S. 2011. “Optimizing Design & Control of Chilled Water Plants.” ASHRAE Journal (12) NOMENCLATURE Each of the more than 100 variables of the system defined. Building structure; BLD ft2 = air conditioned space # Floors = number of building floors Roof ft2 = roof square feet N/S wall ft2 =north/south wall square feet E/W wall ft2 =east/west wall square feet Wall % glass = percent of each wall that is glass Glass U = glass heat transfer coefficient Wall U = wall heat transfer coefficient Glass SHGC = glass solar heat gain coefficient Wall emit = wall solar index Building interior space; Rooftrans-ton =transmission through roof (ton) Roofsky-lite-ton =sky lite load (ton) Peopleton = cooling load due to people (ton) Plugton&kW = cooling load & kW due to plug loads Lightton&kW = cooling load & kW due to lights Total Bldint-ton = total building interior load (ton) Kirby Nelson PE 2/9/2016 (int-cfm) to-per-return = CFM of interior supply air that returns to perimeter of building Tstat-int = interior stat set temperature (F) Bldint-air-ton = supply air ton to offset interior load BLD kW = total building kW demand Building perimeter space; %clear sky = percent clear sky Tdry bulb = outside dry bulb temperature (F) Twet bulb = outside wet bulb temperature (F) Infillat-ton = latent load due to air infiltration (ton) InfilCFM = air infiltration CFM ExfilCFM = air exfiltration CFM Infilsen-ton = sensible load due to air infiltration (ton) Enfilsen-ton =sensible load due to air exfiltration (ton) Walln trans ton = north wall transmission (ton) Walls trans ton = south wall transmission (ton) WallE trans ton = east wall transmission (ton) Wallw trans ton = west wall transmission (ton) Walltot-trans-ton = total wall transmission (ton) GlassN-trans-ton = north wall glass transmission (ton) GlassS-trans-ton = south wall glass transmission (ton) GlassE-trans-ton = east wall glass transmission (ton) GlassW trans-ton = west wall glass transmission (ton) Glasstot-trans-ton = total transmission thru glass (ton) GlassN-solar-ton = north glass solar load (ton) GlassS-solar-ton = south glass solar load (ton) GlassE-solar-ton = east glass solar load (ton) GlassW-solar-ton = west glass solar load (ton) Glasstot-solar-ton = total glass solar load (ton) (int cfm)per-ton = effect of interior CFM to wall (ton) Total Bldper-sen-ton total perimeter sensible load (ton) Tstat-per = perimeter stat set temperature (F) Bldper-air-ton = supply air ton to offset perimeter load Air handler duct system Interior duct Tair supply int = temp air supply to building interior (F) (fan)int ter ton&kW = interior ton & kW due to terminal fans (D)int-air-ton = cooling (ton) to building interior duct Tair coils = supply air temperature off coils to duct (F) (D)int-CFM = supply air CFM to building interior duct Perimeter duct Tair supply per =temp (F) air supply to building perimeter (fan)per ter ton&kW = perimeter ton & kW of terminal fans Page 10 Theat-air = temp supply air before terminal fan heat (F) (D)heat-ton&kW = heat to perimeter supply air ton & kW Treheat air = temp perimeter supply air after reheat (F) (D)reheat ton&kW = reheat of perimeter supply air ton & kW (D)per-air-ton = cooling (ton) to perimeter duct Tair coils = supply air temperature off coils to duct (F) (D)per-CFM = supply air CFM to perimeter duct (ABS Bld Ton) = absolute building load on (CCWS) Coil (coil)sen-ton = sensible load on all coils (ton) (coil)cap-ton = LMTD * UA = capacity (ton) on one coil (coil)H2O-ft/sec = water velocity thru coil (ft/sec) (coil)design-ft/sec = coil design water velocity (ft/sec) LMTD = coil log mean temperature difference (F) (coil)L+s-ton = latent + sensible load on all coils (ton) (coil)gpm = water flow (gpm) thru one coil UAdesign = coil UA design value UA = coil heat transfer coefficient * coil area. UA varies as a function water velocity (coil)gpm thru the coil, as the (coil)gpm decreases the coil capacity decreases. (one coil)ton = load (ton) on one coil (H)coil = air pressure drop thru coil (inches) (H)coil-design = design air pressure drop (inches) VAV Fan system Fresh air statFA = fresh air freeze stat set temperature (F) TFA to VAV = temperature of fresh air to VAV fan (FA)sen-ton = fresh air sensible load (ton) (FA)CFM = CFM fresh air to VAV fan inlet (FA)Lat-ton = fresh air latent load (ton) (FA)kW = heat kW to statFA set temperature Air return TBLD-AR = return air temp (F) before return fans (Air)ret-CFM = CFM air return from building (FAN)ret-kW = return fans total kW (FAN)ret-ton = cooling load (ton) due to (FAN)ret-kW (Air)ret-ton = return air (ton) before return fans TAR to VAV = TBLD-AR + delta T due to return fans kW VAVret-ton = return (ton) to VAV fans inlet InfilVAV-Lat-ton = infiltration latent (ton) to VAV fans VAVret-CFM = return CFM to VAV fans inlet Kirby Nelson PE 2/9/2016 Exhaust air ExLat-ton = latent load (ton) exhausted ExCFM = CFM of exhaust air TEx = temperature of exhaust air Exsen-ton = sensible load (ton) exhausted VAV Fans Tret+FA = return and fresh air mix temperature (F) (dh) = VAV air static pressure (ft) Efan-VSD = VAV fans efficiency VAVinlet-sen-ton = sensible load (ton) inlet to VAV fans VAVinlet-lat-ton = latent load (ton) inlet to VAV fans Tair-VAV = temp air to coils after VAV fan heat (FAN)VAV-CFM = CFM air thru coils (FAN)ton-VAV = load (ton) due to VAV fan kW (FAN)kW-VAV = total VAV fan kW demand AIR SIDE SYSTEM PLUS BUILDING FAN kW = total air handlers kW SITE kW = total site or air side kW Plantton = load (ton) to plant CENTRAL PLANT Nomenclature will be defined by addressing each component of the plant. Primary/secondary pumping nomenclature gpmevap = total gpm flow thru evaporators (H)pri-total = total primary pump head (ft) = (H)pri-pipe + (H)pri-fittings + (H)pri-bp + (H)evap (H)pri-pipe = primary pump head due to piping (ft) (H)pri-fittings = primary head due to pump & fitting (ft) (Ef)c-pump = efficiency of chiller pump Pc-heat-ton = chiller pump heat to atmosphere (ton) Pc-kW = one chiller pump kW demand (kW) Pchiller-# = number chiller pumps operating (lwt)evap = temperature water leaving evaporator (F) Tbp = temperature of water in bypass (F) gpmbp = gpm water flow in bypass (H)pri-bp = head if chiller pump flow in bypass (ft) (ewt)evap = temp water entering evaporator (F) Psec-heat-ton = secondary pump heat to atmosphere (ton) Psec-kW = kW demand of secondary pumps Efdes-sec-p = design efficiency of secondary pumping Efsec-pump = efficiency of secondary pumping (H)sec = secondary pump head (ft) = (H)sec-pipe + (H)sec-bp + (H)coil + (H)valve (H)sec-pipe = secondary pump head due to pipe (ft) (H)sec-bp = head in bypass if gpmsec > gpmevap Page 11 gpmsec = water gpm flow in secondary loop (ewt)coil = water temperature entering coil (F) Plantton = load (ton) from air side to plant Pipesize-in = secondary pipe size (inches) (lwt)coil = temperature of water leaving coil (F) Evaporator (evap)ton = load (ton) on one evaporator TER = evaporator refrigerant temp (F) TER-app = evaporator refrigerant approach (F) EVAPton = total evaporator loads (ton) (H)evap = pump head thru evaporator (ft) (evap)ft/sec = velocity water flow thru evaporator (evap)des-ft/sec = evaporator design flow velocity Compressor: (chiller)kW = each chiller kW demand (chiller)lift = (TCR – TER) = chiller lift (F) (chiller)% = percent chiller motor is loaded (chiller)# = number chillers operating (CHILLER)kW = total plant chiller kW (chiller)kW/ton = chiller kW per evaporator ton Plant kW = total kW demand of plant Condenser nomenclature: (cond)ton = load (ton) on one condenser TCR = temperature of condenser refrigerant (F) TCR-app = refrigerant approach temperature (F) (COND)ton = total load (ton) on all condensers (H)cond = tower pump head thru condenser (ft) (cond)ft/sec = tower water flow thru condenser Tower piping nomenclature Pipesize-in = tower pipe size (inches) gpmT = each tower water flow (gpm) (H)T-total = total tower pump head (ft) PT-heat = pump heat to atmosphere (ton) PT-kW = each tower pump kW demand EfT-pump = tower pump efficiency Ptower # = number of tower pumps (H)T-pipe = total tower pump head (ft) (ewt)T = tower entering water temperature (F) (H)T-static = tower height static head (ft) Trange = tower range (F)= (ewt)T – (lwt)T (lwt)T = tower leaving water temperature (F) Tapproach = (lwt)T – (Twet-bulb) Tower nomenclature tfan-kW = kW demand of one tower fan Tfan-kW = tower fan kW of fans on tfan-% = percent tower fan speed Kirby Nelson PE 2/9/2016 tton-ex = ton exhaust by one tower T# = number of towers on Tton-ex = ton exhaust by all towers on Trg+app = tower range + approach (F) One hour performance indices BLDkW = kW demand of building lights & plug loads FankW = air side fans kW, VAV, return terminals Ductheat = perimeter heat to air supply FAheat = heat added to fresh air Heattotal = total heat added to air PlantkW = total plant kW SystkW = total system kW CCWSkW = air side + plant kW ChillerkW/evap ton = chiller kW/evaporator ton performance PlantkW/site ton = plant kW per site or air side ton CCWSkW/site ton = CCWS kW per load to plant WeatherEin-ton = weather energy into the system SitekW-Ein-ton = load (ton) due to site kW PlantkW-Ein-ton = load (ton) due to plant kW TotalEin-ton = total energy in to system (ton Pumptot-heat-ton = total pump heat out (ton) AHU Exlat ton = air exhausted latent ton AHU Exsen ton = air exhausted sensible ton Tower Tton Ex = energy exhausted by tower (ton) Total Eout ton = total energy out of system (ton) 24 hour performance indices BLD24hr-kW = building 24 hour kW usage Fan24hr-kW = fan system 24 hour kW usage Duct24hr-heat kW or therm = duct heat FA24hr heat kW or therm = fresh air heat Heat24hr total kW or therm = total heat into system air Plant24hr kW = plant 24 hour kW usage Syst24hr kW & therm = total system 24 hour energy usage (CCWS)24hr-kW = Central chilled water system (air side + plant) 24 hour kW usage Weather24hr-Ein-ton = 24 hour weather energy into system SITE24hr-kW-Ein-ton = 24 hour energy into site, building & air side system Plant24hr-kW-Ein-ton = 24 hour kW energy into plant Total24hr-Ein-ton = total 24 hour energy into system Pump24hr Heat out-ton = pump heat to atmosphere (ton) Page 12 AHU Ex24hr Lat ton = exhausted latent load from building AHU Ex24hr-sen-ton = exhausted sensible load from building Tower24hr out-ton = tower exhaust from system (ton) Total E24hr-out-ton = total 24 hour energy out of syste Kirby Nelson PE 2/9/2016 Page 13 Kirby Nelson PE 2/9/2016 Page 14