INTERIOR MOULD GROWTH RISK REDUCTION: APPLICATION OF NONLINEAR PROGRAMMING FOR ENVELOPE OPTIMIZATION

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1 INERIOR MOULD GROWH RISK REDUCION: APPLICAION OF NONLINEAR PROGRAMMING FOR ENVELOPE OPIMIZAION Nuno M. M. Ramos Isabel M. Rbero João M.P.Q. Delgado Vasco Pexoo de Freas eresa Eseves FACULY OF ENGINEERING UNIVERSIY OF PORO LABORAORY OF BUILDING PHYSICS N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

2 PRESENAION INRODUCION CASE SUDY SIMULAION OPIMIZAION PROGRAMME RESULS CONCLUSION N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

3 INRODUCION N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

4 INRODUCION N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

5 CASE SUDY N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

6 CASE SUDY 27 m 3.6 m 7.15 m N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

7 CASE SUDY 27 m 7.15 m N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

8 CASE SUDY Eas 2.6 (5.6x1.85) (1.1) (2.7x1.85) (6.3x1.85) (1.9x1.85)(0.9)(1.1) (5.6x1.85) N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

9 CASE SUDY buldng elemens N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

10 CASE SUDY oudoor emperaure N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

11 CASE SUDY venlaon 30 m 3 /h.person N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

12 CASE SUDY Objecves + s > dp Concree Concree + Insulaon Ex. In. Ex. In. N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

13 SIMULAION ENERGY PLUS hea balance z sl Q 1 N surperfíc es h A 1 s N zonas mc p 1 C 11 z 6 N z superfíces mnfcp h A N 1 1 msyscp zonas mc p sup mnfc p C z 3 msysc p z z z hea ransfer C p x, novo, ango 1, novo, ango 1, novo, novo x x N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

14 SIMULAION Março

15 SIMULAION Resuls N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

16 SIMULAION Resuls hckness (cm) mn máx % Year méd Days wh surface condensaon on walls Days wh surface condensaon on celng 95% Dec N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

17 SIMULAION Average ar emperaure n January N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

18 OPIMIZAION PROGRAMME Mnmze Resrcons NSB N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves Ns N j wn U j Np ns ns p C A C x A 1 1 A RD x x h x C Np íns s z íns s con ns s s ns ns p ns 1 2 h U x x C sj z j sj glass j sj sj glas j glas p glas C m A h C C C m A h p k Ns k k z z z z z p sk k Ns k k sl z Q nf nf x x x x C con s con ns con ns con con con ns con con p con 2 dp s

19 OPIMIZAION Mnmze subjec o: z = c x + d y f(x) + A 1 y b 1 A 2 x + A 3 y b 2 l1 x u1, l2 y u2 f.o. lnear K nonlnear feasble regon y Opmal soluon K x z = 0 decreasng drecon of z N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

20 OPIMIZAION CASE SUDY Problem wh Nonlnear Consrans Sofware GAMS/MINOS Projec Lagrangan Algorhm N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

21 OPIMIZAION CASE SUDY JANUARY SELECED DAYS N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

22 RESULS Indoor emperaure January 4 emperaure (ºC) :00 4:00 7:00 10:00 13:00 16:00 19:00 22:00 1:00 me (h) (a) e no nsulaon, U=6 (EP) nsulaon 4.5cm, U=6 (EP) nsulaon 4.5cm, U=6 (OP) N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

23 RESULS Surface condensaon January 4 emperaure (ºC) :00 4:00 7:00 10:00 13:00 16:00 19:00 22:00 1:00 me (h) (b) po s no nsulaon (EP) s wh 4.5cm (EP) s wh 4.5cm (OP) N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

24 RESULS Smulaon January 25 emperaure (ºC) no nsulaon, U=6 (EP) nsulaon 3cm U=6 (EP) nsulaon 3cm U=6 (OP) e (a) 0 1:00 4:00 7:00 10:00 13:00 16:00 19:00 22:00 1:00 me (h) N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

25 RESULS Smulaon December emperaure (ºC) dp s whou XPS (E.P.) s whou XPS (O.P.) 3:00 5:00 7:00 9:00 11:00 13:00 15:00 17:00 19:00 21:00 23:00 1:00 3:00 me (h) N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

26 CONCLUSIONS Smulaon Dealed npus Dealed resuls Opmzaon derved from full analyss repeon Opmzaon programme Smulaon merged n opmzaon process Smplfed model wh smpler npus Easy o use wh accepable resuls N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB

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