Metodo de Calculo Punto Por Punto para Interiores

 

Ibstituth \`ebhdõoieh l` Eiuljl Kjl`rh Uist`kjs l` idukibjeiõb K@\HLH WPB\H WH] WPB\H Jdukbh1 Ejst`ddjbhs Ojreëj ^ëethr @lujrlh  Bh. L` Ehbtrhd1 :37?7:0: Ejrr`rj1 Ibo. @déetriej Kj`strh1 Ibo. Nrjbeiseh Ajvi`r Jouirr` C`rbêbl`z Chrj1 73177-79177 N`ecj l` `btr`oj1 7=-aubih-=7==

 

IB^@U\IOJEIÕ IB^@U\IOJEIÕB B UHM]@ @D K@\HLH L@ EJDEPDH WPB\H WH] WPB\H WJ]J IB\@]IH]@U @xpdiejr dh qu` siobiniej1 •

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  Eh`niei`bt` l` rjlijeiõb r`nd`ajlj   Njethr l` ehbs`rvjeiõb   EDW; Eh`niei`bt` l` dukibjbeij l` dj pjr`l.

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  ED\ ; Eh`niei`bt` l` dukibjbeij l` dj ejviljl l`d t`ech.

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  KW ; Kudtipdiejlhr l` phsieiõb l`d dhejd.

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  ]KW ; ]`nd`etjbeij k`lij l` dj pjr`l

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  E]LW; Eh`niei`bt` l` rjlijeiõb lir`etj l` dj pjr`l

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  ]ED ; ]`djeiõb l` dj ejviljl l`d dhejd

@SWDIEJ] DJU NH]KPDJU Y L@UJ]]HDDJ] = @A@KWDHU W]JE\IEHU Eh`niei`bt` l` rjlijeiõb r`nd`ajlj

Dj rjlijeiõb r`nd`ajlj `s jqu`ddj qu` prhvi`b` —r`mhtjlj‛ l` dj sup`rniei` t`rr`str`. Dj ejbtiljl l` `st` tiph l` rjlijeiõb l`p`bl` l`d d djkjlh eh`niei`bt` l` r`nd`xiõb l` dj sup`rniei` h —jdm`lh‛. Uhb ñbiejk`bt` djs sup`rniei`s v`rtiejd`s (p`rp`blieudjr`s j dj sup`rniei` t`rr`str`) djs qu` r`eim`b `stj rjlijeiõb.

 

 Njethr l` ehbs`rvjeiõb ehbs`rvjeiõb

Njethr qu` s` `kpd`j `b `d eêdeudh l` dj idukibjeiõb `n`etivj prhphreihbjlj phr ub sist`kj l`spués l` ub p`rëhlh l` ti`kph y `b ehblieihb`s l`t`rkibjljs ehkh pu`l`b s`r dhs `n`eths l` dj t`kp`rjturj, `d vhdtja`, dj suei`ljl shmr` dj sup`rniei` l` dj dukibjrij, `te. \jkmiéb ddjkjlh njethr l` kjbt`biki`bth. @d njethr l` ehbs`rvjeiõb `s kuy ikphrtjbt` t`b`rdh `b eu`btj pjrj hmt`b`r `d biv`d k`lih l` idukibjeiõb. Ui bh s` ti`b` `b eu`btj, `d eêdeudh s` r`jdizj ehkh si dj ibstjdjeiõb nu`s` bu`vj `b thlh khk`bth, sib t`b`r `b ehbsil`rjeiõb djs pérliljs qu` sunr` `d sist`kj. Jl`kês, l`t`rkibj dj  pdjbiniejeiõb l` dj prhorjkjeiõb l` djs tjr`js l` kjbt`biki`bth. kj bt`biki`bth. @d njethr l` kjbt`biki`bth `s nubeiõb nubljk`btjdk`bt` l`1   \iph l` dêkpjrj, l`pr`eijeiõb dukibhsj y sup`rviv`beij `b `d trjbseursh l`d ti`kph

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  @stjbqu`iljl l`d sist`kj õptieh l` dj dukibjrij

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  \iph l` ei`rr` l` dj dukibjrij

  Kjbt`biki`bth l`d sist`kj l` idukibjeiõb

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  Ehbtjkibjeiõb jkmi`btjd l`d `bthrbh

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U` ejdeudj ehkh1

Lhbl`1  

NLND `s `d njethr l` l`pr`eijeiõb l`d nduah dukibhsh l` dj dêkpjrj

 

NUD `s `d njethr l` sup`rviv`beij l` dj dêkpjrj

 

NLDP `s `d njethr l` l`pr`eijeiõb l` dj dukibjrij

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@d ]`odjk`bth prhphreihbj djs tjmdjs b`e`sjrijs b`e`sjr ijs pjrj ejdeudjr `d njethr l` kjbt`biki`bth, `b nubeiõb l`d tiph l` nu`bt` l` duz y dukibjrij1

 

 Njethr l` l`pr`eijeiõ l`pr`eijeiõb b l`d nduah dukibhsh dukibhsh l` dj dêkpjrj dêkpjrj

 Njethr l` sup`rviv`b sup`rviv`beij eij l` dj dêkpjrj

 Njethr l` l`pr`eijeiõ l`pr`eijeiõb b l` dj dukibjrij dukibjrij

Wjrj kjbt`b`r `d këbikh vjdhr p`rkitilh `stjmd`eilh pjrj `d qu` s` lis`új `d sist`kj, `s b`e`sjrih ub r`jdizjr ub kjbt`biki`bth jl`eujlh l`d sist`kj ehkpd`th1 dikpijr `d ehbaubth dêkpjrj-dukibjrij h ejkmijr djs dêkpjrjs qu` bh nubeihbjb ehb ubj ei`rtj nr`eu`beij, `te. Dhs p`rihlhs l` kjbt`biki`bth, s` jeu`rljb pr`vijk`bt` `b dj `tjpj l` lis`úh l`d prhy`eth. @b dj ikjo`b s` hms`rvj dj `vhdueiõb qu` sunr` `d sist`kj ehb `d ti`kph. Whr `a`kpdh, `d phre`btja` l` idukibjeiõb liskibuy` cjstj ub ?:% dhs prik`rhs s`is k`s`s, si `b `st` khk`bth s` dikpij `d ehbaubth,

 

jd ejmh l` ub júh, `d phre`btja` l` idukibjeiõb s`rê l`d ?7%. @b ejkmih, si dj dikpi`zj s` r`jdizj jd júh, `d phre`btja` mjaj cjstj `d >=%.

Eh`niei`bt` l` dukibjbeij l` dj pjr`l —ED W‛  

@d eh`niei`bt` l` utidizjeiõb musejlh pu`l` l`t`rkibjrs` `bthbe`s pjrj dj prhpij r`djeiõb l` dj ejviljl l`d dhejd y djs r`nd`etjbeijs jprhpijljs l` dj pjr`l y l` dj ejviljl l`d t`ech. Wjrj dukibjrijs khbtjljs h `kphtrjljs `b `d t`ech, dj r`nd`etjbeij l` dj ejviljl l`d t`ech `s dj kiskj qu` dj l`d t`ech r`jd. Wjrj dêkpjrjs susp`bliljs, `b ejkmih, `s b`e`sjrih l`t`rkibjr dj r`nd`etjbeij r`nd`etj beij `n`etivj l` dj ejviljl l`d t`ech. @d eh`niei`bt` l` dukibjbeij l` dj pjr`l y `d l` dj ejviljl l`d t`ech t`ech s` `dio`b, pjrj ubj jprhpijlj r`djeiõb l` dj ejviljl l`d dhejd y jl`eujljs r`nd`etjbeijs l` dj pjr`l y l` dj ejviljl l`d t`ech, j pjrtir l` djs tjmdjs l` eh`niei`bt`s l` dukibjbeijs, s` il`btiniej nhrkj j ehkh s` `dio` `d eh`niei`bt` l` utidizjeiõb `b su ehrr`sphbli`bt` tjmdj `b `d kéthlh l` dhs dñk`b`s.

@d Eh`niei`bt` l` Ptidizjeiõb l`d dhejd `s `d térkibh qu` l`nib` `d ehkphrtjki`bth qu` t`blrê ubj dukibjrij `b ub dhejd ljlh y su vjdhr `stjrê ëbtikjk`bt` r`djeihbjlh ehb `d ëblie` l`d Dhejd. \jkmiéb l`p`bl`rê `b orjb k`lilj l`d ehdhr y dj t`xturj l` djs pjr`l`s, shmr` thlh `b dhejd`s p`qu`úhs. @d

 

djmhrjthrih l` dukibht`ebij, ehkh pjrt` l`d prhthehdh l` `bsjyh, `btr`ojrê ubj tjmdj l` Eh`niei`bt`s l` Ptidizjeiõb l`d khl`dh `bsjyjlh. @sj tjmdj `stjrê ehbstruilj j pjrtir l` dj Eurvj l` Listrimueiõb Dukibhsj y phr ehbsioui`bt` l`d ]`bliki`bth l` dj dukibjrij. J ioujdljl l` nduah dukibhsh ibstjdjlh ` ioujd sup`rniei` l`d dhejd, ubj dukibjrij l` jdth r`bliki`bth t`blrê ub eh`niei`bt` l` utidizjeiõb kjyhr (kês e`rejbh j :) qu` ubj l` mjah r`bliki`bth. J - Dhejd orjbl` Whej jmshreiõb l` pjr`l`s, phr dh tjbth, `d r`bliki`bth l` dj dukibjrij `s mu`bh y `d eh`niei`bt` l` utidizjeiõb s`rê jdth.

M - Dhejd p`qu`úh Orjb jmshreiõb l` pjr`l`s1 `d r`bliki`bth l` dj dukibjrij `s k`bhr y `d eh`niei`bt` l` utidizjeiõb s`rê mjah.

@a`kpdh1 Wjrj cjddjr `d Eh`niei`bt` l` Ptidizjeiõb pjrj ub l`t`rkibjlh dhejd s` l`m`rê hmt`b`r `b prik`r duojr `d ëblie` l`d Dhejd (phr `a`kpdh1 F:; 5) ehb `d F:, s` `dio`b djs ]`nd`etjbeijs l` t`ech, pjr`l`s pjr` l`s y pish qu` t`blrê `d dhejd j idukibjr (phr `a`kpdh1 t`ech ?7%6 pjr`l`s 07%. Wjrj `d pish djs tjmdjs jsuk`b phr l`n`eth ubj r`nd`etjbeij l`d =7%) Musejblh F:; 5 `b dj ehdukbj l` dj izqui`rlj titudjlj Ëblie` l` Dhejd s` r`ehrr` `d r`bodõb cjstj `behbtrjr dj ehkmibjeiõb l` r`nd`etjbeijs `d`oilj y s` `behbtrjrê `d ehrr`sphbli`bt` Eh`niei`bt` l` Ptidizjeiõb6 `b `st` ejsh 7.)

Lhbl`1 c t 1 Jdturj l`d t`ech shmr` `d pdjbh l` trjmjah F ibl 1 Eh`niei`bt` l`d dhejd, pjrj sist`kjs iblir`eths Wjrj dhs sist`kjs lir`eths1

(?.:?)

Lhbl`1 c 1 Jdturj l` dj sup`rniei` l` dj dukibjrij F lir 1 Eh`niei`bt` l`d dhejd pjrj dhs sist`kjs lir`eths Wjrj dhs sist`kjs l` idukibjeiõb iblir`eths, `d t`ech `s `d kjbjbtijd kjb jbtijd dukibhsh l` dj sjdj y phr `sth `s phr dh qu` dj jdturj ehbsil`rj jd vjdhrjr `d eh`niei`bt` l`d dhejd `s dj l`d t`ech. @b dhs sist`kjs l` idukibjeiõb lir`etj `b dhs eujd`s `d nduah dukibhsh `s `kitilh phr `d `d`k`bth l` idukibjeiõb, dj jdturj l`d t`ech ti`b` ubj ikphrtjbeij r`djtivjk`bt` p`qu`új `b s`btilh v`rtiejd l`se`bl`bt` y dj jdturj l` khbtja`s `d erit`rih pjrj `vjdujr `d eh`niei`bt` l`d dhejd. Kuechs `d`k`bths l` idukibjeiõb bh shb ehkpd`tjk`bt` lir`eths h iblir`eths `b su nhrkj l` listrimueiõb l`d nduah. Uib `kmjroh, dhs ljths nhthkétriehs `sp`einiejb o`b`rjdk`bt` djs nrjeeihb`s l`d nduah phr `beikj y phr l`mjah l` dj chrizhbtjd nibjdk`bt` hmt`b`khs1

(?.:3) Lhbl`1 I D 1 Ëblie` l`d dhejd F : 1 Eujbtiniej `d nduah dukibhsh cjeij jrrimj F = 1 Eujbtiniej `d nduah dukibhsh cjeij jmjah

 

 @xpdiejeiõb l` eêdeudhs  Kéthlhs l` eêdeudh1 eêdeudh1

@b thlh prhy`eth l` idukibjeiõb, dhs eêdeudhs s` r`jdizjb phr k`lih l` lhs kéthlhs pribeipjd`s ddjkjlhs `d kéthlh l` dñk`b`s y `d pubth phr pubth. @b `d kéthlh pubth phr pubth, dhs eêdeudhs shb kês `xjeths, p`rh tjkmiéb `s kês djmhrihsh, yj qu` `b ejlj pubth l` k`lieiõb s` l`m` ehbsil`rjr dj ehbtrimueiõb l` ejlj dukibjrij l` nhrkj iblivilujd. Whr `stjs rjzhb`s, dj jpdiejeiõb kjbujd l` `st` kéthlh `s prêetiejk`bt` phsimd` sõdh si `d bñk`rh l`  pubths y dukibjrijs bh `s orjbl`. L` dh ehbtrjrih, s` l`m` r`eurrir j prhorjkjs `sp`eijdizjlhs phr ehkputjlhrj, yj qu` ésths utidizjb `st` kéthlh pjrj dhs eêdeudhs l` idukibjeiõb. @d kéthlh l` dñk`b`s sirv` pjrj l`t`rkibjr dj idukibjbeij k`lij shmr` ubj sup`rniei` (pdjbh l` trjmjah) y `stê mjsjlh pribeipjdk`bt` `b dj D`y Nubljk`btjd. J pjrtir l` dj l`nibieiõb l` Idukibjbeij y `b dj D`y Nubljk`btjd, s` l`t`rkibj dj `xpr`siõb mêsiej pjrj `st` kéthlh1

lhbl`1 @ ; Biv`d l` idukibjeiõb (dux). ώ\ ; \htjd l` dñk`b`s ibeil`bt`s shmr` ubj u bj sup`rniei` (dk). 

j ; Jbech l`d êr`j (k) d ; Dhboitul l`d êr`j (k) @st` vjdhr t`blrê khliniejeihb`s `b dh qu` s` r`ni`r` jd nduah dukibhsh thtjd (ώ\), yj qu` é st` s`rê jn`etjlh

 phr dhs njethr`s r`djeihbjlhs ehb dj `niei`beij l` dj dukibjrij, ehkh shb `d njethr l` utidizjeiõb (nu) y `d njethr l` kjbt`biki`bth (nk). Whr dh tjbth, dj `xpr`siõb mêsiej `b nubeiõb l` liechs njethr`s qu`lj l` dj sioui`bt` kjb`rj1

 

   Kéthlh l` pubth pubth phr pubth1

Dhs `d`k`bths mêsiehs qu` nhrkjb pjrt` l` ub sist`kj l` idukibjeiõb shb1 :.  Dj nu`bt` l` duz h tiph l` dêkpjrj utidizjlj1 ibejbl`se`bt`, nduhr`se`bt`, l`sejroj `b ojs... =.  Dj dukibjrij. Ehbtrhdj `d nduah dukibhsh `kitilh phr dj nu`bt` y, `b su ejsh, `vitj h kibikizj `d l`sdukmrjki`bth. 5.  Dhs sist`kjs l` ehbtrhd y r`oudjeiõb l` dj dukibjrij. Pbj v`z ehbheilhs `sths `d`k`bths s` pu`l` ehk`bzjr `d eêdeudh pjrj sjm`r si `d biv`d l` idukibjeiõb `s jl`eujlh h bh `b ub l`t`rkibjlh `spjeih. Wjrj r`jdizjr `d prhe`sh l` eêdeudh l` idukibjeiõb o`b`rjd `b ibstjdjeihb`s ibt`rihr`s, s` pu`l`b utidizjr lhs kéthlhs1

:.- Kéthlh l` dhs Dñk`b`s, tjkmiéb l`bhkibjlh, Uist`kj O`b`rjd h Kéthlh l`d Njethr l` utidizjeiõb1 @d kéthlh l` dhs dñk`b`s `s ubj nhrkj kuy prêetiej y s`beiddj l` ejdeudjr `d biv`d k`lih l` dj idukibjbeij `b ubj ibstjdjeiõb l` jdukmrjlh o`b`rjd. Wrhphreihbj ubj idukibjbeij k`lij ehb ub `rrhr l` 0 % y bhs lj ubj il`j kuy jprhxikjlj l` djs b`e`siljl`s l` idukibjeiõb. =.- Kéthlh l`d pubth phr pubth (h l` idukibjbeijs pubtujd`s)1 @st` kéthlh s` utidizj si dh qu` s` l`s`j `s ehbhe`r dhs vjdhr`s l` dj idukibjbeij `b pubths ehber`ths. @b `st` ejsh, s` vj j `xpdiejr eõkh jpdiejr `d Kéthlh l`d pubth phr pubth p ubth j trjvés l` ub `a`kpdh, t`bi`blh si`kpr` `b eu`btj qu` s` pu`l` utidizjr ehb nu`bt`s l` duz pubtujd`s ehkh djs dêkpjrjs ibejbl`se`bt`s y l` l`sejroj, p`rh bh ehb tumhs nduhr`se`bt`s. Dj nõrkudj j `kpd`jr `s dj sioui`bt`1

 

  Lhbl`1 @C ; biv`d l` idukibjeiõb `b ub pubth l` ubj sup`rniei` chrizhbtjd (`b DPS) @v ; biv`d l` idukibjeiõb `b ub pubth l` ubj sup`rniei` v`rtiejd (`b DPS) I ; ibt`bsiljl l` nduah dukibhsh s`oñb dj lir`eeiõb l`d pubth j dj nu`bt`. Wu`l` hmt`b`rs` l` dhs lijorjkjs phdjr`s l` dj dukibjrij h l` dj kjtriz l` ibt`bsiljl`s qu` o`b`rjdk`bt` prhphreihbj `d njmriejbt` l` dukibjrijs (`b ejbl`djs) κ ; êboudh nhrkjlh phr ph r `d rjyh dukibhsh y dj v`rtiejd qu` pjsj p phr hr dj dukibjrij  

C ; jdturj l`d pdjbh l` trjmjah j dj dêkpjrj (`b k). prhmd`kjs ehb shdueiõb kéthlh  @a`kpdhs l` prhmd`kjs kéthlh pubth phr pubth pubth  @a`kpdh :

U` ehdhej ubj dukibjrij ubj k`sj, l` khlh qu` dj jdturj `btr` `d nheh y dj sup`rniei` s`j l` :,=0 k. Ehkprhmjr qu` `d biv`d l` idukibjeiõb shmr` dj k`sj `s sup`rihr j dhs =77 dux qu` shb b`e`sjrihs pjrj ehk`r `b ehblieihb`s õptikjs. J dj chrj l` jpdiejrdh `s ikphrtjbt` t`b`r `b eu`btj dh qu` s` cj ehk`btjlh1 su utidizjeiõb s` dikitj j ehbhe`r dj idukibjbeij `b pubths ehber`ths.

J.  L`t`rkibjr κ (êboudh nhrkjlh phr `d rjyh dukibhsh y dj v`rtiejd qu` pjsj phr dj dukibjrij)

 

 

M. L`t`rkibjr I (ibt`bsiljl l` nduah dukibhsh s`oñb dj lir`eeiõb l`d pubth j dj nu`bt`) Wjrj `ddh, s` ti`b` qu` t`b`r `d`oilj tjbth `d tiph l` dêkpjrj ehkh `d tiph l` dukibjrij. Pbj v`z ehb `sths ljths, s` ehbsudtj ehb `d njmriejbt` l` dukibjrijs dj eurvj nhthkétriej h eurvj l` listrimueiõb dukibhsj. O`b`rjdk`bt`, liecj ibnhrkjeiõb s` pu`l` ehbsudtjr `b eujdqui`r ejtêdhoh hbdib` l` njmriejbt`s l` dukibjrijs téebiejs. @b `st` ejsh, s` `dio` ubj dukibjrij qu` ehbti`b` lhs dêkpjrjs nduhr`se`bt`s ehkpjetjs qu` `b thtjd ljb ub nduah dukibhsh ϐ ; =.777 duk. U` hms`rvj `b `d lijorjkj qu` si s` ibtrhlue` `d êboudh κ `b `d orênieh s` ti`b` ubj dëb`j qu` vj l`sl` `d  

e`btrh l`d kiskh y qu` ehrtj `b dj eurvj l` dj dukibjrij `b ub pubth.

Liech pubth, trjsdjljlh j dj dëb`j e`btrjd, bhs lj `d vjdhr l` dj ibt`bsiljl `b `d orênieh (Iorênieh) `xpr`sjlj `b el/fdk.

 

  U` sjm` qu`1 : fdk ; :.777 dñk`b`s y qu` `d nduah l` dj dêkpjrj qu` s` cj `d`oilh `s l` =.777 dk. Ehb `sths ljths, cjei`blh ubj r`odj l` tr`s, s` ejdeudj dj Ir`jd Ir`jd ; I orênieh • ϐ  / fdk ; 0=0 • =.777 / :.777 ; :.707 el.  

E. L`t`rkibjr @C h @^ (Biv`d l` idukibjeiõb `b ub pubth l` ubj sup`rniei` chrizhbtjd h v`rtiejd) (`xpr`sjlh `b DPS) @b `st` ejsh, jd `stjr ehkprhmjblh `d biv`d l` idukibjeiõb `b ub pubth situjlh `b dj k`sj, `s l`eir, ubj sup`rniei` chrizhbtjd, s` ehkpru`mj @C. L` `stj kjb`rj, y sustituy`blh `b dj `eujeiõb1

@C ; :.707 x ehsµ =0,>< / :,=0½ ; :.707 x 7,?5 / :,0> ; 0   `linieihs/k`thlh-pubth-phr-pubth-sist`kjs-l`-idukibjeihb/:00:>7>0 cttps1//riub`t.upv.`s/mitstr`jk/cjbld`/:7=0:/?00>/JLXejdeudhXk`thlhXpubthXphrXpubth.pln   cttps1//www.nrrh.utb.`lu.jr/r`phsithrih/ejt`lrjs/eivid/5Xjbih/jeustiej/Dukibht`ebij/7?%=7@A@]EIEI HU%=7]@UP@D\HU%=7v