Matchstick: A Room-to-Room Thermal Model for Predicting Indoor Temperature from Wireless Sensor Data IPSN 2013 Carl Ellis (School of Computing and Communications, Lancaster University, UK), Mike Hazas (School of Computing and Communications, Lancaster University, UK), James Scott (Microsoft Research, Cambridge, UK) NSLab study group 2013/4/15 Speaker : Chia-Chih,Lin
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Matchstick: A Room-to-Room Thermal Model for Predicting Indoor Temperature from Wireless
Sensor Data
IPSN 2013Carl Ellis (School of Computing and Communications, Lancaster
University, UK), Mike Hazas (School of Computing and Communications, Lancaster University, UK), James Scott (Microsoft
Research, Cambridge, UK)
NSLab study group 2013/4/15Speaker : Chia-Chih,Lin
• Use a regression based optimization model• Consider room-to-room interaction, thermal
mass delay, and outside temperature• Use a non-linear transformation of gas use• Fits between the heating scheduler
Modeling
• Training by historical data, then using model parameters to predict the result and adjust the schedule, parameters involves:– Current sensor data– Heating schedule
Thermal mass delay
• Delay between thermal energy input, change of the heating element temperature, and ambient indoor air temperature
Recursive non-linear transformation function
Gt : gas usageσ: thermal energy(stored in room’s heating element,[0~1])RTn :empirically determined by search the solution space and finding value when traning the model with historical data
Internal interaction between rooms
• Need to determine the thermally significant neighbors automatically [18]
• Recursive likelihood test is performed• Initially fitted with no neighbors-> likelihood-
ratio test ->if null hypothesis is rejected->the most likely neighbor added
Fitting the Matchstick Model
The mathematical form of Matchstick’s system equations
N : the set of all roomTn : temperature of room nG : gas usedTO : outside temperatureαt : loss of heat from the roomαg :heat transfer from the heating spaceβnj :transfer of heat from thermally significant neighboring roomsϒo : heat transfer with the outside
• Characterize the predictive accuracy of the model
• Analyze how the predictive accuracy changes for different rooms in different houses
• Investigate the effect of the model’s training aspects
predictive accuracy of the model
• 3 weeks predict ,1 week as training data• Supply two types of future knowledge– Future gas input– Future outside temperature
• Train model -> for each time step t(0~24) can predict p hours -> modeling each time step until t+p reached -> stored and compare to ground truth -> make error distribution
• (p : 1.5hr~6hr)
predictive accuracy of the model
different rooms in different houses
Compare to other model
[15] : each room relied upon the predictions of others in their model[9] : could be because the model does not capture neighboring interaction
Model Tuning
• How training data affect the model– Length of training data– How to select initial neighboring rooms to be
passed to the model
Length of training data
Using different policies for neighboring rooms
Saving analysis
Results
• UK1 saved 3.3% of its total gas• UK2 saved 2.3%• Original study [7] improve 8-18%