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 2011-1
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 2011-2
INRODUCION N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB 2011-3
INRODUCION N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB 2011-4
CASE SUDY N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB 2011-5
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 2011-6
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 2011-7
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 2011-8
CASE SUDY buldng elemens N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB 2011-9
CASE SUDY oudoor emperaure N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB 2011-10
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 2011-11
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 2011-12
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 3 2 2 z 1 3 3 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 2011-13
SIMULAION Março 2011-14
SIMULAION Resuls N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB 2011-15
SIMULAION Resuls hckness (cm) 0 1 2 3 4 5 6 7 8 9 mn 0.4 1.6 2.3 2.9 3.3 3.7 4.0 4.2 4.4 4.6 máx 30.7 33.1 34.6 35.5 36.3 36.8 37.3 37.6 37.9 38.1 5% 7.5 8.8 9.7 10.2 10.6 10.9 11.2 11.4 11.6 11.7 Year méd 15.8 17.5 18.5 19.2 19.7 20.1 20.4 20.6 20.8 21.0 Days wh surface condensaon on walls Days wh surface condensaon on celng 95% 23.6 26.0 27.4 28.3 29.0 29.5 29.9 30.3 30.6 30.8 33 12 4 2 1 1 1 1 1 0 29 Dec 126 22 4 4 1 1 1 1 1 0 N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB 2011-16
SIMULAION Average ar emperaure n January N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB 2011-17
OPIMIZAION PROGRAMME Mnmze Resrcons NSB 2011-18 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 0.17 1 2 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 1 3 2 nf 1 1 6 11 3 1 2 3 3 x x x x C con s con ns con ns con con con ns con con p con 2 dp s
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 2011-19
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 2011-20
OPIMIZAION CASE SUDY JANUARY SELECED DAYS N.M.M. Ramos / I.M. Rbero /J.M.P.Q. Delgado / V.P. de Freas /. Eseves NSB 2011-21
RESULS Indoor emperaure January 4 emperaure (ºC) 18 15 12 9 6 3 1:00 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 2011-22
RESULS Surface condensaon January 4 emperaure (ºC) 18 15 12 9 6 3 1:00 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 2011-23
RESULS Smulaon January 25 emperaure (ºC) 25 20 15 10 5 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 2011-24
RESULS Smulaon December 29 15 12 emperaure (ºC) 9 6 3 0 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 2011-25
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 2011-26