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Frontiers in Energy

ISSN 2095-1701

ISSN 2095-1698(Online)

CN 11-6017/TK

Postal Subscription Code 80-972

2018 Impact Factor: 1.701

Front. Energy    2021, Vol. 15 Issue (2) : 550-563    https://doi.org/10.1007/s11708-019-0607-1
RESEARCH ARTICLE
An ANN-exhaustive-listing method for optimization of multiple building shapes and envelope properties with maximum thermal performance
Yaolin LIN1(), Wei YANG2
1. School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, China; School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China
2. College of Engineering and Science, Victoria University, Melbourne 8001, Australia
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Abstract

With increasing awareness of sustainability, demands on optimized design of building shapes with a view to maximize its thermal performance have become stronger. Current research focuses more on building envelopes than shapes, and thermal comfort of building occupants has not been considered in maximizing thermal performance in building shape optimization. This paper attempts to develop an innovative ANN (artificial neural network)-exhaustive-listing method to optimize the building shapes and envelope physical properties in achieving maximum thermal performance as measured by both thermal load and comfort hour. After verified, the developed method is applied to four different building shapes in five different climate zones in China. It is found that the building shape needs to be treated separately to achieve sufficient accuracy of prediction of thermal performance and that the ANN is an accurate technique to develop models of discomfort hour with errors of less than 1.5%. It is also found that the optimal solutions favor the smallest window-to-external surface area with triple-layer low-E windows and insulation thickness of greater than 90 mm. The merit of the developed method is that it can rapidly reach the optimal solutions for most types of building shapes with more than two objective functions and large number of design variables.

Keywords ANN (artificial neural network)      exhaustive-listing      building shape      optimization      thermal load      thermal comfort     
Corresponding Author(s): Yaolin LIN   
Online First Date: 14 January 2019    Issue Date: 18 June 2021
 Cite this article:   
Yaolin LIN,Wei YANG. An ANN-exhaustive-listing method for optimization of multiple building shapes and envelope properties with maximum thermal performance[J]. Front. Energy, 2021, 15(2): 550-563.
 URL:  
https://academic.hep.com.cn/fie/EN/10.1007/s11708-019-0607-1
https://academic.hep.com.cn/fie/EN/Y2021/V15/I2/550
Reference Building types/shapes Objective functions
Ref. [13] Multi-sided polygon floor Life cycle cost;
life cycle environmental impact
Ref. [15] Rectangle, L, T, cross, U, H, and trapezoid Life cycle cost
Ref. [17] Free-form Solar radiation gain;
space efficiency;
shape coefficient
Ref. [10]
Ref. [19]
Ref. [21]
Free-form Solar heat gain
Ref. [9] Two arbitrary curves bounding the south and north faces, prismatic shape Heating cost;
building cost
Ref. [12] Free-form External thermal load
Ref. [18] Multi-sided polygon floor Building construction cost;
seasonal heating energy demand;
pollution emitted by heat sources
Ref. [14] Deformed Building energy consumption
Tab.1  Summary of objective functions for building shape optimization
Fig.1  Overview of four types of buildings
Design variable Value
Building area (S)/m2 100
Building height (h)/m 3.6
Building volume (V)/m3 360
Heating temperature setpoint/°C 18
Cooling temperature setpoint/°C 26
U-value of external wall/(W?(m2?K)–1) 0.395
U-value of roof/(W?(m2?K)–1) 0.363
Window-to-external surface area ratio/% 10
Tab.2  Initial values of building parameters
Items Components
External wall Wall 10: Face brick+ 10 mm XPS board+ 240 mm concrete block+ gypsum plaster
Wall 20: Face brick+ 20 mm XPS board+ 240 mm concrete block+ gypsum plaster
Wall 30: Face brick+ 30 mm XPS board+ 240 mm concrete block+ gypsum plaster
Wall 40: Face brick+ 40 mm XPS board+ 240 mm concrete block+ gypsum plaster
Wall 50: Face brick+ 50 mm XPS board+ 240 mm concrete block+ gypsum plaster
Wall 60: Face brick+ 60 mm XPS board+ 240 mm concrete block+ gypsum plaster
Wall 70: Face brick+ 70 mm XPS board+ 240 mm concrete block+ gypsum plaster
Wall 80: Face brick+ 80 mm XPS board+ 240 mm concrete block+ gypsum plaster
Wall 90: Face brick+ 90 mm XPS board+ 240 mm concrete block+ gypsum plaster
Wall 100: Face brick+ 100 mm XPS board+ 240 mm concrete block+ gypsum plaster
Wall 110: Face brick+ 110 mm XPS board+ 240 mm concrete block+ gypsum plaster
Wall 120: Face brick+ 120 mm XPS board+ 240 mm concrete block+ gypsum plaster
Roof Roof 10: protection layer+ water-proof layer+ 10 mm PU board+ 240 mm concrete block+ gypsum plaster
Roof 20: protection layer+ water-proof layer+ 20 mm PU board+ 240 mm concrete block+ gypsum plaster
Roof 30: protection layer+ water-proof layer+ 30 mm PU board+ 240 mm concrete block+ gypsum plaster
Roof 40: protection layer+ water-proof layer+ 40 mm PU board+ 240 mm concrete block+ gypsum plaster
Roof 50: protection layer+ water-proof layer+ 50 mm PU board+ 240 mm concrete block+ gypsum plaster
Roof 60: protection layer+ water-proof layer+ 60 mm PU board+ 240 mm concrete block+ gypsum plaster
Roof 70: protection layer+ water-proof layer+ 70 mm PU board+ 240 mm concrete block+ gypsum plaster
Roof 80: protection layer+ water-proof layer+ 80 mm PU board+ 240 mm concrete block+ gypsum plaster
Roof 90: protection layer+ water-proof layer+ 90 mm PU board+ 240 mm concrete block+ gypsum plaster
Roof 100: protection layer+ water-proof layer+ 100 mm PU board+ 240 mm concrete block+ gypsum plaster
Roof 110: protection layer+ water-proof layer+ 110 mm PU board+ 240 mm concrete block+ gypsum plaster
Roof 120: protection layer+ water-proof layer+ 120 mm PU board+ 240 mm concrete block+ gypsum plaster
Window Type 1: 6 mm single layer clear glazing
Type 2: 6 mm single layer low-E glazing
Type 3: double layer 6 mm clear glazing+ 13 mm air gap
Type 4: double layer 6 mm low-E glazing+ 13 mm air gap
Type 5: triple layer 3 mm clear glazing+ 13 mm air gap
Type 6: triple layer 3 mm low-E glazing+ 13 mm air gap
Tab.3  Variable types and value ranges for envelope design
City Latitude/(°) Longitude/(°) HDD18/(°C·d) CDD26/(°C·d) Average OAT/(°C) Climatic region
Harbin 45.75 126.77 5032 14 4.2 Severe cold region
Beijing 39.9 116.4 2699 94 12.3 Cold region
Wuhan 30.62 114.13 1501 283 16.7 Hot summer and cold winter region
Guangzhou 23.13 113.32 373 313 22.1 Hot summer and warm winter region
Kunming 25.02 102.68 1103 0 14.9 Mild region
Tab.4  Climatic information for 5 selected cities
Harbin Beijing Wuhan Guangzhou Kunming
Pyramid 16401 11104 11377 11740 3091
Rectangular 16058 10516 10537 10758 2716
Cylindrical 15596 10319 10202 10608 2689
Dome 14606 9796 9816 9952 2709
Tab.5  Base thermal load of selected cities/kWh
Fig.2  Optimization framework
Alpha Initial Eta High Eta Eta Decay Low Eta
0.9 0.3 0.1 30 0.01
Tab.6  ANN parameters
Method Simulation Prediction Relative error/%
Ndis/h Thermal load/kWh Ndis/h Thermal load/kWh Ndis/h Thermal load/kWh
Method one Max 7306 24596.3 7282.0 24472.9 0.42 7.96
Min 6573.5 6640.9 6589.5 7166.2 –0.33 –4.44
Method two Max 7219.5 24719.5 7204.7 24447.1 0.55 4.25
Min 6537.5 5750.2 6564.9 5929.8 –0.72 –4.73
Method three Max 7219.5 24719.5 7202.7 24444.7 0.47 4.34
Min 6537.5 5750.2 6568.1 5967.3 –0.52 –1.95
Tab.7  Ranges of relative errors using different methods for the city of Wuhan
Fig.3  Regression between ANN outputs and simulated targets
Fig.4  Variations of Ndis and thermal loads
Insulation thickness/mm WESR/% Window
type
Building
shape
Prediction Simulation Relative error/%
Ndis/h Thermal load /kWh Ranking Ndis/h Thermal load /kWh Ranking Thermal load Ndis
Method one 120 10 6 2 6608.0 7283.3 1 6168.9 6671.5 1 –18.06 0.95
120 15 6 4 6663.3 7192.4 2 6746.1 6670.5 10 –6.61 0.11
120 10 6 3 6676.5 7047.7 3 5911.4 6738.5 3 –19.22 0.92
110 10 6 2 6624.7 7335.6 4 6300.1 6698.5 5 –16.44 1.10
120 15 6 3 6655.1 7257.2 5 6863.0 6663.0 –5.74 0.12
120 10 6 4 6685.1 7028.5 6 5750.2 6735.0 2 –22.23 0.74
120 10 5 2 6657.3 7295.9 7 6993.6 6684.0 –4.32 0.40
110 15 6 4 6688.0 7232.1 8 6843.7 6686.5 –5.68 –0.02
110 10 6 3 6704.7 7070.4 9 6042.0 6754.5 6 –17.02 0.74
100 10 6 2 6646.5 7394.8 10 6459.4 6725.0 8 –14.48 1.17
Method two 120 10 6 2 6185.8 6653.2 1 6168.9 6671.5 1 –0.27 0.27
110 10 6 2 6188.1 6688.1 2 6300.1 6698.5 5 1.78 0.16
120 15 6 2 6426.3 6616.4 3 7149.7 6599.0 10.12 –0.26
100 10 6 2 6192.4 6721.5 4 6459.4 6725.0 8 4.13 0.05
120 10 6 3 6004.6 6740.4 5 5911.4 6738.5 3 –1.58 –0.03
110 15 6 2 6509.9 6648.0 6 7269.6 6622.0 10.45 –0.39
110 10 6 3 6042.6 6746.7 7 6042.0 6754.5 6 –0.01 0.12
120 10 6 4 5929.8 6751.5 8 5750.2 6735.0 2 –3.12 –0.24
110 10 6 4 5967.0 6757.8 9 5864.8 6753.0 4 –1.74 –0.07
120 10 4 2 6490.4 6677.6 10 6812.7 6684.0 4.73 0.10
Method three 120 10 6 2 6249.3 6663.9 1 6168.9 6671.5 1 –1.30 0.11
110 10 6 2 6346.8 6683.9 2 6300.1 6698.5 5 –0.74 0.22
120 10 6 4 5966.0 6733.7 3 5750.2 6735.0 2 –3.75 0.02
120 10 6 3 6162.3 6735.3 4 5911.4 6738.5 3 –4.2 0.05
110 10 6 4 6021.6 6746.3 5 5864.8 6753.0 4 –2.67 0.10
100 10 6 4 6096.2 6759.3 6 6027.8 6767.0 7 –1.14 0.11
110 10 6 3 6239.3 6749.1 7 6042.0 6754.5 6 –3.26 0.08
100 10 6 2 6466.7 6705.4 8 6459.4 6725.0 8 –0.11 0.29
120 15 6 4 6467.2 6709.1 9 6746.1 6670.5 10 4.13 –0.58
90 10 6 4 6197.6 6773.1 10 6182.1 6786.0 9 –0.25 0.19
Tab.8  List of optimal solutions using different methods
Fig.5  Comparison of optimal solutions using the AEL and ANNGA approaches
City Insulation thickness/mm WESR/% Window type Building shape Ndis/h Thermal load/kWh Ranking
Harbin 120 15 6 4 6224.5 9335.0 1
110 15 6 4 6250.5 9566.7 2
120 15 6 3 6217.5 9831.2 3
120 15 6 2 6171.5 9895.9 4
120 10 6 2 6303.5 9600.6 5
120 10 6 1 6228.0 9973.9 6
120 10 6 4 6339.0 9001.7 7
110 15 6 3 6252.0 10101.3 8
110 10 6 4 6372.0 9256.4 9
120 10 6 3 6380.5 9526.6 10
Beijing 120 10 6 3 5912.0 5779.6 1
120 10 6 4 5957.5 5530.6 2
120 10 6 2 5883.0 5879.4 3
110 10 6 4 5987.5 5669.3 4
110 10 6 3 5940.0 5939.0 5
110 10 6 2 5907.5 6050.9 6
120 15 6 4 6006.0 6168.2 7
120 15 6 3 5962.5 6382.8 8
120 15 6 2 5917.0 6480.1 9
110 15 6 4 6030.0 6291.5 10
Wuhan 120 10 6 2 6671.5 6168.9 1
120 10 6 4 6735.0 5750.2 2
120 10 6 3 6738.5 5911.4 3
110 10 6 4 6753.0 5864.8 4
110 10 6 2 6698.5 6300.1 5
110 10 6 3 6754.5 6042.0 6
100 10 6 4 6767.0 6027.8 7
100 10 6 2 6725.0 6459.4 8
90 10 6 4 6786.0 6182.1 9
120 15 6 4 6670.5 6746.1 10
Guangzhou 120 10 6 4 5927 6381.68 1
110 10 6 4 5946 6435.16 2
120 10 6 3 5902 6573.55 3
110 10 6 3 5922 6644.1 4
100 10 6 4 5976 6498.52 5
90 10 6 4 5984.5 6637.22 6
100 10 6 3 5947.5 6731.04 7
90 10 6 3 5978 6832.34 8
80 10 6 4 6036 6735.36 9
120 10 6 2 5887 7038.98 10
Kunming 120 10 6 2 4588 235.82 1
120 10 4 2 4553 357.68 2
110 10 6 2 4676.5 233.13 3
100 10 4 2 4713.5 349.72 4
100 10 6 2 4760.5 231.8 5
120 10 6 4 4763 232.86 6
120 10 4 4 4733 358.78 7
120 10 4 3 4861.5 273.87 8
90 10 6 2 4886.5 231.8 9
120 10 6 3 4923 179.93 10
Tab.9  List of top 10 optimal solutions for different cities
f1 Total building thermal load/kWh
f2 Total number of discomfort hours/h
h Building height/m
Li Lower bound of xi
m Number of the design variables
QC Accumulated hourly cooling load/kWh
QH Accumulated hourly heating load/kWh
r Radius of the base of the building/m
S Building area/m2
Ui Upper bound of xi
V Building volume/m3
WESR Window-to-external envelop surface area ratio, dimensionless
X Combination of the design-variables (x1, x2, ..., xm)
ALT Altitude
ANN Artificial neural network
ATT Annual air temperature
CDD Cooling degree days
HDD Heating degree days
LAT Latitude
LON Longitude
OAT Outside air temperature
  
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