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A	
  Data	
  Analysis	
  Approach	
  for	
  
Diagnosing	
  Malfunctioning	
  in	
  Domestic	
  Space	
  Heating
Seyed	
  Amin	
  Tabatabaei
1
2
Where	
  do	
  we	
  use	
  energy?
Smart	
  Thermostat	
  can	
  save	
  energy
What	
  we	
  need	
  :	
  	
   A	
  model	
  of	
  the	
  house
3
1-­‐ loss	
  rate,	
  ε:
2-­‐ Thermal	
  Capacity,	
  C:
A	
  simple	
  model:	
  degree	
  day:	
  two	
  concepts:
4
1-­‐ loss	
  rate,	
  ε:
2-­‐ Thermal	
  Capacity,	
  C:
A	
  simple	
  model:	
  degree	
  day:	
  two	
  concepts:
1-­‐ Cooling	
  down	
  Periods
2-­‐ Heating	
  Periods
5
ε
C
=
-ΔTin
(Tin − Tout )dt∫
Pr ovided Energy = ε (Tin − Tout )dt∫ + CΔTin
Our	
  Data
Tindoor
Toutdoor
Gas	
  Usage
1-­‐ Cooling	
  down	
  Periods
2-­‐ Heating	
  Periods
6
Our	
  Data
Pr ovided Energy = ε (Tin − Tout )dt∫ + CΔTin
ε
C
=
-ΔTin
(Tin − Tout )dt∫
Tindoor
Toutdoor
Gas	
  Usage
1-­‐ Cooling	
  down	
  Periods
2-­‐ Heating	
  Periods
7
Pr ovided Energy = ε (Tin − Tout )dt∫ + CΔTin
Our	
  Data
Tindoor
Toutdoor
Gas	
  Usage
ε
C
=
-ΔTin
(Tin − Tout )dt∫
8
Cool	
  down
Heating
9
Temporal	
  Comparison	
  	
  à Diagnosing	
   Malfunctioning:
ORIGINAL
10
1st kind	
  of	
  Malfunctioning:	
   	
  	
  	
  Drop	
  in	
  the	
  performance	
  of	
  heating	
  system
ORIGINAL
εà +33%	
  ,	
  Cà+33%
1stMalfunctioningεà 24%	
  ,	
  C	
  à+8%
2ndMalfunctioning
ε à +6%	
  ,	
  Cà -­‐7%
3rdMalfunctioning
11
ORIGINAL
εà +33%	
  ,	
  Cà+33%
1stMalfunctioningεà 24%	
  ,	
  C	
  à+8%
2ndMalfunctioning
ε à +6%	
  ,	
  Cà -­‐7%
3rdMalfunctioning
2nd kind	
  of	
  Malfunctioning:	
   High	
  infiltration	
  by	
  leakage
12
ORIGINAL
εà +33%	
  ,	
  Cà+33%
1stMalfunctioningεà 24%	
  ,	
  C	
  à+8%
2ndMalfunctioning
ε à +6%	
  ,	
  Cà -­‐7%
3rdMalfunctioning
3rd kind	
  of	
  Malfunctioning:	
   	
  	
  High	
  Infiltration	
  by	
  leaving	
  windows	
  open
13
A	
  Fast	
  Review:
DataAnalysisComparison
Tin
Tout
Gas Usage
ε: C:
14
A	
  Fast	
  Review:
DataAnalysisComparison
Tin
Tout
Gas Usage
ε: C:
15
A	
  Fast	
  Review:
DataAnalysisComparison
Tin
Tout
Gas Usage
ε: C:
DataAnalysisComparison
Tin
Tout
Gas Usage
ε: C:

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