highly insulated slabs and short time-step simulations ... net-zero energy buildings and for better power ... modeling phase change materials (PCM) embedded.
Proceedings of BS2013: 13th Conference of International Building Performance Simulation Association, ChambΓ©ry, France, August 26-28
πΜ
πΜ
πΜ
,
= Β
π
π
,
Β
β
π
Β π
π
Β πΜ
,
Β
β
,
Β
πΜ
,
=
π
Β π
β
,
π
π
π
Β πΜ
,
Β
β
β
Β
β
Β
- 2667 -
π π
= Β
β
Β
β
Β
π π
= Β
,
β
Β
π
β
Β
π
=π
Proceedings of BS2013: 13th Conference of International Building Performance Simulation Association, ChambΓ©ry, France, August 26-28
βπ₯ = Β
πΌ Β π₯π‘π Β Β Β Β Β (π€βπππ Β πΉπ = 200) πΉπ
πΜ
πΜ
π π β¦ π π π = [π΄] β¦ + [π΅] π ππ‘ π πΜ πΜ
πΆ πΉπ =
πΌ=
πΌ Β π₯π‘π πΏ
π π = [πΆ] β¦ + [π·] π π
ππ = π (π ππ‘
β π ) + π (π
πΜ = π(π β π )
π π Β πΆ
- 2668 -
βπ)
Proceedings of BS2013: 13th Conference of International Building Performance Simulation Association, ChambΓ©ry, France, August 26-28
π΄(ππ₯, ππ₯) π΅(ππ₯, ππ’) π§ππππ (ππ₯, ππ’) β‘ β€ πΌ(ππ’) β₯ π = Β β’π§ππππ (ππ’, ππ₯) π§ππππ (ππ’, ππ’) π₯π‘π β’ β₯ β£π§ππππ (ππ’, ππ₯) π§ππππ (ππ’, ππ’) π§ππππ (ππ’, ππ’)β¦
π·=π
π₯π‘π
πΉ1 = Β π·(1: ππ₯, ππ₯ + 1: ππ₯ + ππ’) πΉ2 = Β π·(1: ππ₯, ππ₯ + ππ’ + 1: ππ₯ + 2 Β ππ’) π΄ = Β π·(1: ππ₯, 1: ππ₯) πΆ = π Γ πΆ Γ πΏ = 2200 Γ 840 Γ 0.3 π½ = 554400 πΒ²πΎ
π΅ = πΉ1 + π΄ β πΉ2 β πΉ2 πΆ =πΆ
554400 π½ = 138600 Β 4 π πΎ 554400 π½ πΆ2 = = 277200 2 π πΎ 1 π π1 = = β = 8.3 π
1 π πΎ 1 π 1.7 π π2 = π3 = = = = 11.33 π
2 πΏ 0.15 π πΎ 2 1 π π4 = = β = 34.5 π
4 π πΎ
π· = π· + πΆ β πΉ2
πΆ1 = πΆ3 =
ππ π1 π2 = Γ (π β π ) + Γ (π β π ) ππ‘ πΆ1 πΆ1 8.3 = Γ (π β π ) 138600 11.33 + Γ (π β π ) 138600
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Proceedings of BS2013: 13th Conference of International Building Performance Simulation Association, ChambΓ©ry, France, August 26-28
ππ π2 π3 = Γ (π β π ) + Γ (π β π ) ππ‘ πΆ2 πΆ2 11.33 = Γ (π β π ) 277200 11.33 + Γ (π β π ) 277200
π· = Β
7.537 β0.009171
β0.009171 23.68
ππ π3 π4 = Γ (π β π ) + Γ (π β π ) ππ‘ πΆ3 πΆ3 11.33 = Γ (π β π ) 138600 34.5 + Γ (π β π ) 138600
π π π ππ‘ π 11.33 138600 22.66 β 277200 11.33 138600
19.63 β‘β 138600 β’ 11.33 =β’ 277200 β’ β’ 0 β£ 8.3 β‘ 0 β€ β’138600 β₯ π +β’ 0 0 β₯ Β π 34.5 β₯ β’ 0 β£ 138600β¦
β€ β₯ π 11.33 β₯ Β π 277200 β₯ π 45.83 β₯ β 138600β¦ 0
πΜ = β (π β π ) = 8.3 Β (π β π ) πΜ
= β (π β π ) = 34.5 Β (π β π ) Β Β
qΜ qΜ
=
β8.3 Β 0 +
0 0
8.3 0
If TIMEB < 0 then useSsCtfMethod = .TRUE. TIMEB = -TIMEB Else useSsCtfMethod = .FALSE.
T 0 T β34.5 T T 0 34.5 T
Subroutine WALLS If useSsCtfMethod = .TRUE. Subroutine NodesDetermination + Subroutine CtfCoeffGen
0.6147 0.1999 0.01142 π΄ = Β 0.09994 0.7725 0.07353 0.01142 0.1471 0.3133 0.1355 0.01029 π΅ = 0.02049 0.06137 0.002475 0.3142 β8.3 0 0 πΆ = 0 0 β34.5
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If useSsCtfMethod = .FALSE.
Subroutine TRANS
Proceedings of BS2013: 13th Conference of International Building Performance Simulation Association, ChambΓ©ry, France, August 26-28
23
22
Original - 1 h Modified - 12 min Reference
Temperature [Β°C]
21
20
19
18
17
16 4000
19 18.8
4005
4010
4015 Time [h]
4020
4025
4030
4019.5 Time [h]
4020
4020.5
4021
Original - 1 h Modified - 12 min Reference
18.6
Temperature [Β°C]
18.4 18.2 18 17.8 17.6 17.4 17.2 17 4018
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4018.5
4019
Proceedings of BS2013: 13th Conference of International Building Performance Simulation Association, ChambΓ©ry, France, August 26-28
21
Original - 3 h Modified - 1 h Reference
20.5
Temperature [Β°C]
20
19.5
19
18.5
18
17.5 4000
4005
4010
4015 Time [h]
4020
4025
4030
18.1
18
Temperature [Β°C]
17.9
17.8
17.7
17.6
17.5 4015.5
ICF DST SIPS Concrete Insulation Wood
Original - 3 h Modified - 1 h Reference 4016
4016.5 4017 Time [h]
4017.5
4018
Original timebase New timebase Number of nodes Calculation time (DRF method) (SS method) (SS method) (SS method) [h] [h] [-] [s] 1 0.2 255 2 0.25 0.1 323 3.4 0.15 0.05 350 3.7 0.25 0.2 268 2.2 0.5 0.1 333 3.4 3 1 347 3.5
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Proceedings of BS2013: 13th Conference of International Building Performance Simulation Association, ChambΓ©ry, France, August 26-28
22 21.5
πΜ
DRF method (Timebase = 5h) SS method (Timebase = 1.5h)
21
Temperature [Β°C]
20.5 20 19.5
π₯π‘
19 18.5 18 17.5 17 4000
4005
4010
4015 Time [h]
4020
4025
4030
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Proceedings of BS2013: 13th Conference of International Building Performance Simulation Association, ChambΓ©ry, France, August 26-28
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