Fault Detection and Diagnostics for Rooftop Air Conditioners

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90 where β is a degradation factor for cooling capacity due to faults and Q & Cap, Normal is the RTU cooling capacity for normal operation Substituting equation (5-6) into equation (5- 5) gives E α = Q& Cap, Normal (1 − β T (5-7) (1 −α) EER Savings ) Normal Neglecting demand costs, the utility cost savings (UCS) are calculated as UCS ( α = Q& Cap,Normal (1 − ) T ) Ce (1 −α) EER β (5-8) Normal where C e is the cost of electricity ($/kWh). Neglecting demand savings is a conservative assumption. Significantly greater utility cost savings would be possible if demand costs were considered. Roughly, the weighted average utility rate between on-peak and midpeak periods in North California is 0.08$/kWh and that in South California is around $0.21/kWh. According to the simple relationship given in equation (5-8), the utility cost savings associated with automated FDD applied to an individual RTU depend on the following factors: 1. the normal ERR ( EER Normal ) and the degradation in EER due to the faults, α . The lower the normal EER and the greater the EER degradation, the greater the opportunity for utility cost savings. The savings are particularly sensitive to the EER degradation factor. 2. the normal cooling capacity ( Q & Cap, Normal ) and the degradations in cooling capacity (β). Greater savings are associated with larger cooling capacities and cooling capacity degradations. 3. runtime (T ). Utility cost savings increase linearly with increasing runtime.
91 4. electricity costs ( C e ). Utility cost savings increase linearly with increasing energy costs. A similar result would apply to demand costs if they were considered. Table 5-2 gives estimates of utility cost savings for different buildings and locations in California obtained with equation (5-8). For these calculations, the degradation factors determined for the RTU installed at Milpitas were used. This site uses RTU a 6-ton York air conditioning system with a nominal EER equal to 9 and its EER and cooling capacity degraded 21% and 30%, respectively due to faults. The runtimes for different sites, which only include the operation time for mechanical cooling, are estimated using data collected in 2002. Location North California South California Table 5-2 Estimates of Utility Costs Savings for a 6-ton RTU A/C Electricity Costs ($/kWh) 0.08 0.21 Building Type Monthly Runtime (hour per month) Months per Year Annual Runtime (hour per year) Utility Savings per Year ($) Modular School 120 4 480 57 Restaurant 150 6 900 107 Retail Store 300 6 1800 214 Modular School 180 5 900 281 Restaurant 225 7 1575 492 Retail Store 450 7 3150 985 From Table 5-2, it can be seen that: 1. The savings are greater in southern California than in northern California, because the climate is hotter and the electricity costs are higher. The differences might be less if demand charges were included.
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CALIFORNIA ENERGY COMMISSION Final
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Acknowledgements Jim Braun and Haor
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Abstract Project 2.1, Fault Detecti
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TABLE OF CONTENTS LIST OF TABLES LI
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LIST OF FIGURES Page 1 - Field Test
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The report “Description of Labora
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mounted heat pumps for heating and
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The retail stores are in Southern C
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Figure 1 - Field Test Sites Data Co
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Gibson School (Cont’d) Woodland S
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Table 1 - Data List for Modular Sch
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BUILDING TYPE: Modular School Rooms
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HEATING / AIR CONDITIONING EQUIPMEN
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Sacramento Area McDonalds PlayPlace
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Bradshaw Road (Sacramento Area) McD
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TEST INSTRUMENTATION: Tables 2 and
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Table 2 - Data List for Inland Rest
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Castro Valley (San Francisco Bay Ar
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Castro Valley McDonalds PlayPlace P
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more or less custom design, publish
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BUILDING TYPE: Retail Store ADDRESS
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TEST INSTRUMENTATION: Similar test
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• Temperature and humidity levels
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November 2001 - December/January 20
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Table of Contents 1. Introduction..
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1. Introduction All the thermodynam
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Table 1.1 Comparisons of Three Mode
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solution procedure involves the non
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independent of the moisture content
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function, f ( X , y) , if it can be
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Figure 2.1 Neural-Network Implement
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prototype was developed by using th
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3. Comparison of black-box modeling
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which is more accurate than the exp
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Similar to GRNN, RBF has very good
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Table 3.2 RMS error (Polynomial,GRN
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Table 3.4 Contrast of Black-box mod
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Polynomial plus GRNN Training Desir
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interpolation(poly+GRNN) extrapolat
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used to build the steady-state mode
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α , ρ, τ I t t s h o A t a Figur
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Temperature (F) 82 79 76 73 Condens
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0.050 0.045 Pressure = 101.3 [kPa]
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T T − T − T W = W −W −W m =
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Figure 4.8 Output of three steady-s
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will be calculated to represent the
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180 175 RMS error = 0.3984 (F) Pred
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180 175 RMS error =1.1472 (F) Predi
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51 50 RMS error=0.3860 (F) Predicte
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4.4 California field site results S
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105 100 RMS error =0.5982 (F) Predi
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Since air conditioners always cycle
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6. Conclusions and future work So f
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Lee, W., House, J.M. and Shin, D.R.
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Table of Contents 1 Introduction...
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AHU α β 2 d i EER ∆ ∆ η v T
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$ !! !! )
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Paper statistics in HVAC FDD Number
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011>" - , ?" 8?"
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+ : 6336" ,
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+ :: !!- :: !!
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6 24 122 7) 6 3++, ) . !! /011
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)
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336 F / s $ S
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N $ V v1
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Figure 3-4 2-dimensional residual d
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10 5 Normal and current operation p
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7 N Ω f N N Ω = Ω X ,
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0 + α 6 d χ ( )
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Normal operation region Residual-2
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Table 3-2 Refrigerant Leak at 20% l
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ratio dist = P F 1 P F 1 2 1 9.0
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$ , " - (
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)(( 0( 04 ) 6330" /
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Table 4-2 Polynomial plus GRNN mode
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4.2 m r,predict (kg/min) 4 3.8 3.6
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6 1)( ( ( 6 1)( ) , ( )
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- )
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? "J> *"J060 #"J083 *$"J670 #"J08<
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Table 4-17 Detected (normal, fault)
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c=1 c=10 c=20 1 0.8 Distance ratio
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$ /) $ 0111" .. !!
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Chen, Bin and Braun, J.E, 2000. Sim
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Ventilating, Air-Conditioning and R
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1.T amb 2.T ra 3.RH ra Plant Prepro
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F) $
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+: + $ 5
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.44(' * 5 09( ( 0( F N ( M , Σ)
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Load 20% 40% 60% 80% 100% 3 4 Fault
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Load 20% 40% 60% 80% 100% 3 4 Fault
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3 4 0 0 0 0 0.4173 0 0.0010 0 0.000
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.44(' $ () ) ) - $
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∆P Restrictio n Level=100%* ∆P
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2 TABLE OF CONTENTS TABLE OF CONTEN
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4 A1.2.3 Valve Position Expression
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6 Figure 2-10 Decoupling refrigeran
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8 LIST OF TABLES Table 1-1 Fault di
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10 N = Number of generated sample p
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12 with a fixed-orifice as the expa
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14 (residuals) should have a zero m
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16 expected distribution of the res
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18 operation. Another advantage is
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20 1.1.2.1 Original SRB Fault Diagn
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22 Corresponding to the SRB fault d
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24 integration of the probability d
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26 1. Simplifies fault detection fr
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28 Step i Do FDD on fault i . After
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30 ROOFTOP UNIT FAULTS COMPONENT-LE
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32 has two possible causes: refrige
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34 1.2.3 Decoupling of Component Fa
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36 1.2.3.2 Condenser-Related Faults
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38 mixture, χ ref is known as the
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40 Table 1-3 also lists the refrige
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42 Refrigerant Property T cond, pre
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44 as an independent feature only f
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46 evaporator air flow rate reducti
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48 5. 2 Pll ∆ deviates drasticall
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50 System-Level Faults RefUnder Ref
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52 1.2.5 Summary of Decoupling Sche
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54 noise, system disturbances and m
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56 compressor data. When there is a
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58 Figure 2-5 Decoupling evaporator
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60 Total Pressure Drop of Liquid- L
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62 Figure 2-11 Illustration of Demo
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64 bypass the compressor. At this t
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66 for T dis because there is no ov
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68 Figure 2-14 Outputs of the FDD d
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70 the system requires more refrige
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72 recommended that: the system req
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74 Figure 2-20 Outputs of the FDD d
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76 Figure 2-21 Histogram bar plot o
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82 2.3.2 Summarized Results for Oth
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84 3 CONCLUSIONS AND RECOMMENDATION
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86 Breuker, M.S. and Braun, J. E.,
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88 Lee, W., House, J.M. and Shin, D
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90 APPENDIX 1 PHYSICAL MODELS OF EX
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92 A1.1.2 Short-Tube Models Many re
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94 m& = CA ρ P up − P ) (A1-5) (
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96 The abrupt change of CA for the
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98 These equations can be combined
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100 H h T sh , max opening T sh , s
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102 A1.2.5 Parameter Estimation Met
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104 T (2 T sh, ratingopening , sh,m
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106 Harms’Result Harms plotted al
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108 Mass flow rate Local linearizat
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110 temperature on the RTD is unifo
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112 in cold water application, it i
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1 ACKNOWLEDGEMENTS The research tha
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3 2.2.3 Todd Harms’ Data ........
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5 LIST OF FIGURES Figure E-1. FDD d
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7 LIST OF TABLES Table E-1 FDD resu
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9 IA = Independence Assumption λ i
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11 EXECUTIVE SUMMARY Packaged air c
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13 current values of the fault indi
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15 Figure E-4 Histogram of the EER
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17 2. Operational cost savings, whi
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19 Table E-5 Conservative Lifetime
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21 constraints. Economic constraint
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23 Paper statistics in HVAC FDD 35
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25 on directional changes to identi
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27 fault levels at different operat
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29 was concluded that the method wa
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31 However, several improvements ar
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33 point sensor placement is genera
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35 2 DATA SOURCES USED FOR EVALUATI
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37 The fives types of faults are re
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Page 345 and 346: 41 The SRB FDD method determines wh
Page 347 and 348: 43 The following sections describe
Page 349 and 350: 45 points rather than on a distribu
Page 351 and 352: 47 current operation point P 1, P F
Page 353 and 354: 49 4 A DECOUPLING-BASED FDD TECHNIQ
Page 355 and 356: 51 This approach overcomes the draw
Page 357 and 358: 53 ⎡ ∆T ⎢ ⎢ ∆T 2 ⎢ ∆
Page 359 and 360: 55 improving the compressor model p
Page 361 and 362: 57 Condenser Air Mass Flow Rate (lb
Page 363 and 364: 59 Evaporator Air Mass Flow Rate (l
Page 365 and 366: 61 Liquid-Line Pressure Drop (PSI)
Page 367 and 368: 63 4.2.2 Purdue Field Emulation Sit
Page 369 and 370: 65 1. Evacuated the system, and the
Page 371 and 372: 67 normal _ value − current _ val
Page 373 and 374: 69 Figure 4-16 shows one frame afte
Page 375 and 376: 71 Figure 4-18 shows one frame afte
Page 377 and 378: 73 valve position can be seen from
Page 379 and 380: Figure 4-22 Outputs of the FDD demo
Page 381 and 382: 77 Figure 4-23 Histogram bar plot o
Page 387 and 388: 83 4.2.3.2 Summarized Results for O
Page 389 and 390: 85 5 ECONOMIC ASSESSMENTS Since the
Page 391 and 392: 87 inspection savings would be $2,0
Page 393: 89 Q & Cap = W & × EER (5-2) The e
Page 397 and 398: 93 Table 5-3 lists estimates of equ
Page 399 and 400: 95 5.4 Smart Service Schedule Savin
Page 401 and 402: 97 7. A 6-ton RTU having a cost of
Page 403 and 404: 99 Location North California South
Page 405 and 406: 101 5. Three case studies were inve
Page 407 and 408: 103 REFERENCES Aaron, D. A., and P.
Page 409 and 410: 105 Davis, Coby. 1993. Comparison o
Page 411: 107 Rossi, T.M., 1995. Detection, D
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Fault Detection and Diagnostics for Rooftop Air Conditioners

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