Proyecto Invernadero por PID

INSTITUTO TECNOLÓGICO DE LEÓN

Invernadero Automatizado Proyecto Final Interante!

Paloma "aleny #odr$uez Aria!% &ulio Ce!ar Ce!ar Cam'o! Cam'o! L('ez% Carlo A% Ortea Ca!!ano% &o!) "anuel "anuel "edina L('ez% L('ez%

Invernadero Automatizado

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Contenido

1.

INTRODUCCIÓN%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+

2.

JUSTIF TIFICACIÓN%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%% +

3.

OBJ OBJETIVO GE GENERAL%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+

4. ALCA ALCAN NCE DEL PRO ROYE YEC CTO%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+ 5. Desc Descr r!c !c" "# # $e% $e% ss& ss&e' e'(. (.%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%, Dse Dse*+ *+ , c+#s c+#s&r &r-c -cc c"# "# $e% !r+& !r+&+& +&! !+. +.%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%-

).

).1 ).1

C(r( C(r(c& c&er ers s&&c( c(ss $e% $e% '(&e '(&er r(% (% -&% -&%/ /($ ($+. +.%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%.

).2

Es&r-c&-r( $e% PID%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%/0

0. DISE DISE O DEL DEL PR PROTO OTOTIP TIPO%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%/1 .

CON CO NTROL TROL EN EL PROT PROTO OTIPO TIPO%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%/+

.

RESU RESUL LTADO DOS S DEL DEL ONI ONITO TORE REO O%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%/2

1 .

AJUSTES%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%/2

11.

CONCLUSIONES%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%/2

1 2.

BIBLIOGRAF6A%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%/2

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1. INTRODUCCIÓN L( e#se*(#/( $e ss&e'(s $e c+#&r+% re!rese#&( -# re&+ e# %+s !%(#es $e% es&-$+ $e %( c+#s&r-cc"# $e #-es&r+ !r+!+ ss&e'( $e c+#&r+%. De es&( '(#er( &e#$re'+s '7s s+%$es e# %+ (!re#$$+ , e# %+ 8-e es&('+s &r(9(:(#$+; e# es&e $+c-'e#&+ !rese#&('+s -# ss&e'( $e c+#&r+% $e &e'!er(&-r( $e -# #s $e c+#se=-r e% c+#&r+%($+r !(r( %%e<(r%+ (% 'erc($+ e#?+c($+ @(c( -# #
4. ALCANCE DEL PROYECTO Se c+#&(r( c+# e% !r+&+&!+ $e -# #
1


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5. Descr!c"# $e% ss&e'(. L( &e'!er(&-r( es -#( $e %(s <(r(9%es '7s -&%/($(s e# %( #$-s&r(; !+r e%%+ es #eces(r+ &e#er -# c+#+c'e#&+ $e %+s '>&+$+s !(r( c+#&r+%(r $c@( <(r(9%e. Es !+r es&( r(/"# 8-e s-r=e %( #eces$($ $e '!%e'e#&(r -# !r+&+&!+ !(r( e% c+#&r+% $e &e'!er(&-r(; 8-e !er'&( (!rec(r e# ?+r'( c%(r( -# '+$e%+ s'!%?c($+ $e -# '+$e%+ s'!%?c($+ $e %( #s&r-'e#&(c"# , %(s (cc+#es $e c+#&r+% 8-e &e#e %-=(r $e#&r+ $e %+s $s&#&+s !r+ces+s #$-s&r(%es. T(% es e% c(s+ $e %+s c+#&r+%es &!+ PID. T(#&+ c+#&#-+s c+'+ $scre&+s ,; $e es&( '(#er( $(r -#( <s"# c%(r( $e% s=#?c($+ $e -# ss&e'( $e c+#&r+% c+# re(%'e#&(c"# , s- ?+r'( $e ?-#c+#('e#&+. Es8-e'( $e% ss&e'( $e c+#&r+% $e &e'!er(&-r(.

F=. 1.1 es8-e'( $e% ss&e'( $e c+#&r+% $e &e'!er(&-r(. r Re?ere#c( e Err+r U C+#&r+% ' V(r(9%e '(#!-%($(. , S(%$( ,' <(r(9%e 'e$$(. +


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C($( -#+ $e %+s c+'!+#e#&es $e $e&(%%(# ( c+#&#-(c"#. P(r( %( =e#er(c"# $e% c(%+r se -&%/(r( -#( %7'!(r( #c(#$esce#&e; %( 's'( 8-e <(r( %( &e'!er(&-r( c-(#$+ c('9( e% <+%&(:e 8-e %%e=( ( s-s &er'#(%es. Se -&%/( %( %7'!(r( $e9$+ ( s- s'!%c$($ , ?7c% '(#e:+; ,( 8-e %(s c+#s&(#&es $e &e'!+ !(r( s- c(%e#&('e#&+ , e#?r('e#&+ s+# re%(&<('e#&e !e8-e*(s c+# res!ec&+ ( +&r+s ss&e'(s &>r'c+s. Se &+'( c+'+ <(r(9%e $e s(%$( , %( &e'!er(&-r( 8-e (%c(#/( %( %7'!(r(. E% (c&-($+r es&7 ?+r'(#$+ !+r -# crc-&+ $e !+&e#c( ( 9(se $e -# &r(c; e% 's'+ 8-e es e% e#c(r=($+ $e !r+$-cr &+$+s %+s c('9+s $e <+%&(:e 'e$(#&e %( <(r(c"# $e% 7#=-%+ $e $s!(r+ $e!e#$e#$+ $e %(s se*(%es !r+s $e% c-(% se '+$?c( %( #&e#s$($ %-'#+s( , !+r e#$e %( &e'!er(&-r(. E% c+#&r+% (#7%+=+ es&7 c+#?+r'($+ !+r ('!%?c($+res +!er(c+#(%es L'041 c+# %( res!ec&<( c+#?=-r(c"# !(r( 8-e (c&e c+'+ c+#&r+%($+r PID c+# %( !+s9%$($ $e <(r(r '>$(&e e% -s+ $e !+&e#c"'e&r+s e% <(%+r $e %(s c+#s&(#&es. P(r( cerr(r e% %(/+ $e c+#&r+% es #eces(r+ 8-e %+s <(%+res $e &e'!er(&-r( 'e$$+s ( %( s(%$( $e %( !%(#&( ,' se(# &r(#s?+r'($+s e# <+%&(:es; !(r( c+'!(r(r%+s c+# e% #
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). Dse*+ , c+#s&r-cc"# $e% !r+&+&!+. T+'(#$+ e# c-e#&( 8-e e% !r+!"s&+ $e es&e !r+&+&!+ es =e#er(% e% c+#&r+% $e %( &e'!er(&-r( e# -#( !%(#&(; , 8-e e% !r+&+&!+ <( ( ser -&%/($( !(r( %( (!rec(c"# $e% c('9+ $e &e'!er(&-r( , s- c+#&r+% c+# -# s $e -# se%ec&+r $e se#s+r; !(r( &e#er %( &e'!er(&-r( 'e$$(; %+s
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* E% c+#&r+% PID (#7%+=+ es&( 9(s($+ e# ('!%?c($+res +!er(c+#(%es; %( re?ere#c( , %+s <(%+res $e %(s c+#s&(#&es M!; M , M$ se #=res(# 'e$(#&e !+&e#c"'e&r+s -9c($+s e# e% !(#e% $e c+#&r+%.

).1C(r(c&ers&c(s $e% '(&er(% -&%/($+.

Se#s+r $e &e'!er(&-r( L35 U# L'35 !-e$e ?-#c+#(r (!(r&r $e %+s 5< e# c+rre#&e c+#&#-(H; se( !+r (%'e#&(c"# s'!%e + !+r $+9%e (%'e#&(c"# . S-s c(r(c&ers&c(s '7s '!+r&(#&es se $escr9e# ( c+#&#-(c"#.  • • • • • • • •

C+#?=-r($+ !(r( ser %e$+ e# =r($+s Ce%s-s F(c&+r $e esc(%( %#e(% $e 1 'VKC R(#=+ $e &r(9(:+ e#&re 55 KC @(s&( 15 KC A!r+!($+ !(r( (!%c(c+#es re'+&(s B(:+ c+s&+ F-#c+#( c+# &e#s+#es e#&re 4 < @(s&( 3 V e#+s $e ) -A $e c+#s-'+ B(:( '!e$(#c( $e s(%$(; .1 Q; !(r( c(r=(s $e 1 'A.

Se#s+r L35.

L7'!(r( #c(#$esce#&e. -


* C+'+ rece!&+r e%>c&rc+ se c+'!+r&(# c+'+ -#( ress&e#c( "@'c( &(#&+ e# c+rre#&e c+#&#-( c+'+ e# c+rre#&e (%&er#(; $e9$+ ( %( #erc( &>r'c( 8-e &e#e e# c+rre#&e (%&er#( #+ se !r+$-ce e% e?ec&+ es&r+9+sc"!c+. • • • •

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Te'!er(&-r( $e c(%+r TCH 3  F%-:+ %-'#+s+ e#&re 25 , 45 %'. E?c(c( %-'#+s( 25 %' V$( 'e$( (#-#c($( !+r e% ?(9rc(#&e e# c+#$c+#es $e %(9+r(&+r+H (!r+ 2 @+r(s. P+&e#c( $es$e 2 ( 2 

L7'!(r( @(%"=e#(

Ve#&%($+r Ss&e'( $e e#?r('e#&+. • • • • • • •

Te#s"# $e <+%&(:e 12V DC C+re#&e $e e#&r($( $e .25A '('+H. F%-:+ $e (re 1).32 c?' '('+H Ve%+c$($ $e
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Ve#&%($+r. F-e#&e $e (%'e#&(c"# F-e#&e $e !+$er S&(r& !+er s-!!%,

F-e#&e s&(r& !+er s-!!%,. A'!%?c($+r O!er(c+#(% L041 E% U( 041 es -# ('!%?c($+r +!er(c+#(% '(#+%&c+ $e (%&(s c(r(c&ers&c(s. Se @( $se*($+ !(r( -#( ('!%( =('( $e (!%c(c+#es (#(%"=c(s. • • • •

N+ re8-ere c+'!e#s(c"# e# ?rec-e#c(. Es&7 !r+&e=$+ c+#&r( c+r&+crc-&+s. Te#e c(!(c$($ !(r( (#-%(r e% <+%&(:e $e +??se&. P+see -# (%&+ r(#=+ $e &e#s"# e# '+$+ c+'# , <+%&(:e.

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Ress&e#c(s; c(!(c&+res , !+&e#c"'e&r+s. S+# c+'!+#e#&es e%ec&r"#c+s 8-e &e#e# %( !r+!e$($ $e +!+#erse (% !(s+ $e %( c+rre#&e e%>c&rc(. L+s c(!(c&+res + c+#$e#s($+res s+# e%e'e#&+s %#e(%es , !(s<+s 8-e !-e$e# (%'(ce#(r , %9er(r e#er=( 9(s7#$+se e# ?e#"'e#+s re%(c+#($+s c+# c('!+s e%>c&rc+s. L+s !+&e#c"'e&r+s %'&(# e% !(s+ $e %( c+rre#&e e%>c&rc( I#&e#s$($H !r+<+c(#$+ -#( c($( $e &e#s"# e# e%%+s (% =-(% 8-e e# -#( ress&e#c(; !er+ e# es&e c(s+ e% <(%+r $e %( c+rre#&e , %( &e#s"# e# e% !+&e#c"'e&r+ %(s !+$e'+s <(r(r s+%+ c+# c('9(r e% <(%+r $e s- ress&e#c(.

Ress&e#c(s

C(!(c&+res

P+&e#c"'e&r+.

).2Es&r-c&-r( $e% PID U# c+#&r+%($+r PID se c(r(c&er/( !+r c+'9#(r &res (cc+#es P; I , DH 'e$(#&e e% s=-e#&e (%=+r&'+ $e c+#&r+%

Es&e (%=+r&'+ es&7 c+#s$er($+ c+'+ e% PID es&7#$(r !+r %( ISA I#s&r-'e#& S+ce&, +? A'erc(H. •

 Acc"# !r+!+rc+#(% PH es %( (cc"# 8-e !r+$-ce -#( se*(% !r+!+rc+#(% ( %( $es<(c"# $e %( s(%$( $e% !r+ces+ res!ec&+ (% !-#&+ $e c+#s=#(. 4


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 Acc"# #&e=r(% IH es %( (cc"# 8-e !r+$-ce -#( se*(% $e c+#&r+% !r+!+rc+#(% (% &e'!+ 8-e %( s(%$( $e% !r+ces+ @( s$+ $?ere#&e $e% !-#&+ $e c+#s=#(.  Acc"# $er<(&<( DH es %( (cc"# 8-e !r+$-ce -#( se*(% $e c+#&r+% !r+!+rc+#(% ( %(
C($( (cc"# $e c+#&r+% &e#e -#( res!-es&( c(r(c&ers&c( •

•

•

 L( (cc"# !r+!+rc+#(% <(r( #s&(#&7#e('e#&e c+# e% err+r , (%c(#/( -# <(%+r es&(c+#(r+ c-(#$+ %+ (%c(#/( >s&e.  L( (cc"# #&e=r(% &e#e e# c-e#&( %( @s&+r( !(s($( $e% err+r , se (#-%( c-(#$+ se @(ce cer+.  L( (cc"# $er<(&<( !re$ce %+s c('9+s e# e% err+r , se (#-%( c-(#$+ (%c(#/( -# <(%+r es&(c+#(r+.

Crc-&+ PID c+# L041.

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0. DISEO DEL PROTOTIPO

Pr+&+&!+ I#
Pr+&+&!+ $'e#s+#es I#
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Ds&r9-c"# $e es!(c+. . CONTROL EN EL PROTOTIPO - . El controlador PID E% c+#&r+%($+r es -# e%e'e#&+ e# e% ss&e'( e# %(/+ cerr($+ 8-e &e#e c+'+ e#&r($( %( se*(% $e err+r , !r+$-ce -#( s(%$( 8-e se c+#<er&e e# %( e#&r($( $e% e%e'e#&+ c+rrec&<+. L( re%(c"# e#&re %( s(%$( , %( e#&r($( $e% c+#&r+%($+r c+# ?rec-e#c( se $e#+'#( %e, $e c+#&r+%. Es&e# &res ?+r'(s $e $c@( %e, !r+!+rc+#(%; #&e=r(% , $er<(&<+. C+# e% c+#&r+% !r+!+rc+#(% %( s(%$( $e% c+#&r+%($+r es $rec&('e#&e !r+!+rc+#(% ( s- e#&r($( %( e#&r($( es %( se*(% $e err+r; e; %( c-(% es -#( ?-#c"# % $e% &e'!+. De es&( '(#er( Salida = K p e

D+#$e ! es -#( c+#s&(#&e %%('($( =(#(#c( !r+!+rc+#(%. L( s(%$( $e% c+#&r+%($+r $e!e#$e s+%+ $e %( '(=#&-$ $e% err+r e# e% #s&(#&e e# e% 8-e se c+#s$er(. L( ?-#c"# $e &r(#s?ere#c(; G0 (s)!(r( e% c+#&r+%($+r es G0 ( s )= K p

E% c+#&r+%($+r es; e# e?ec&+; s+%+ -# ('!%?c($+r c+# -#( =(#(#c( c+#s&(#&e. E# cer&+ &e'!+; -# err+r =r(#$e !r+$-ce -#( s(%$( =r(#$e $e% c+#&r+%($+r. L( =(#(#c( c+#s&(#&e; s# e'9(r=+; &e#$e ( es&r s+%+ s+9re cer&+ r(#=+ $e err+res 8-e se c+#+ce c+'+ 9(#$( !r+!+rc+#(%. A#(%"=c('e#&e e% c+#&r+%($+r /1


* !r+!+rc+#(% se !-e$e re(%/(r c+# -# ('!%?c($+r +!er(c+#(% c+#ec&($+ c+'+ ('!%?c($+r #
R2 R1

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Proporcional

C+# e% c+#&r+% #&e=r(% %( s(%$( $e% c+#&r+%($+r es !r+!+rc+#(% ( %( #&e=r(% $e %( se*(% $e err+r c+# e% &e'!+; es $ecr;

D+#$e  es %( c+#s&(#&e $e#+'#($( =(#(#c( #&e=r(%. Y %( ?-#c"# $e &r(#s?ere#c( es&7 $($( !+r

-

Elaboración del controlador PID analógico

P(r( +9&e#er %( &e'!er(&-r( $ese($(; se #eces&( -#( se*(% $e re?ere#c(; %( c-(% se !-e$e +9&e#er $e -# !+&e#c"'e&r+ (%'e#&7#$+%+ c+# 5<. L( se*(% $e e#&r($( ser7 c+'!(r($( c+# %( se*(% $e re&r+(%'e#&(c"# !(r( !+$er +9&e#er !+s&er+r'e#&e +&r( se*(% $e s(%$(. Es&e !r+ces+ se %+=r( ( &r(<>s $e% ('!%?c($+r s-s&r(c&+r. C-(#$+ se (!%c( -# <+%&(:e $e e#&r($( ( %(s $+s &er'#(%es $e% s-s&r(c&+r; %( se*(% $e s(%$( ser7 %( $?ere#c( $e es&(s $+s se*(%es '-%&!%c($+ !+r -#( =(#(#c( , c+# e% s=#+ c+#&r(r+; $e9$+ ( %( c+#?=-r(c"# $e% ('!%?c($+r. L( ?=-r( 3 '-es&r( %( c+#?=-r(c"# $e es&( !r'er( e&(!( $+#$e e% <+%&(:e $e s(%$( es&7 $($+ !+r

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* V sal =

− R 4 R 2

(Señal de referencia− Señal deretroalientacion )

C+'+ %( =(#(#c( !(r( es&e crc-&+ es -#&(r( V sal =−( Señal de referencia −Señal de retroalientacion )

R1 1.0kΩ

U1 R3

Señal de reerencia

270kΩ

Señal de retroali!entacion

R2 270kΩ

741

R4 270kΩ

Figura 3

La 'arte 'ro'orcional5 6ue e! la !iuiente en el di!e7o del circuito5 con!ta de do! am'li8cadore! o'eracionale! en con8uraci(n de am'li8cador inver!or% La 8ura , mue!tra la cone9i(n de e!te circuito% Donde: V sal =−V ¿ ParaU 2 V

− R 3 R 1

(¿¿ ¿) Para U 3 V sal =¿

/,


* U3 U2 Señal del *+*tractor

R2

R1

741

741 1kΩ

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Figura 4

E% <+%&(:e se s(%$( $e U2 ser7 e% 's'+ 8-e e% $e% ('!%?c($+r s-s&r(c&+r $e9$+ ( %( =(#(#c( -#&(r( !er+ c+# !+%(r$($ #
/3


* U4 C1

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10Ω

R5 R3 10Ω 100kΩ (0 ) $e%&'

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10Ω 0)

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,ig+ra (

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dVin Parael derivador dt t

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Y e% crc-&+ c+'!%e&+ :-#&+ c+# %( e&(!( $e !+&e#c(

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* E% crc-&+ $e %( ?=-r( ) '-es&r( e% $(=r('( c+'!%e&+ $e% c+#&r+% PID. C+'+ se !-e$e +9ser<(r; %( se*(% $e re?ere#c( &e#e c+#ec&($+ -# =e#er($+r $e ?-#c+#es; %( r(/"# $e es&e es 8-e !(r( 8-e e% c+#&r+%($+r I Y D !-e$(# re(%/(r %( ?-#c"# se &e#e 8-e (!%c(r -# &re# $e !-%s+s; e# es&e c(s+ -#( +#$( c-($r($( c+# -#( ('!%&-$ '7'( $e 5< , (%re$e$+r $e %+s 1@/; %( c-(%; $es!->s $e !(s(r !+r e% #&e=r($+r; es&e (rr+:( -#( se*(% $e#&e $e serr( , e% $er<($+r -#+s !-%s+s e# ?+r'( $e s!Mes; $e %+ c+#&r(r+ s se s=-er( (!%c(#$+ -#( se*(% c+#s&(#&e c(s+ $e% !r+!+rc+#(%H; e% #&e=r($+r , e% $er<($+r #+ re(%/(r(# ##=-#( ?-#c"# , c(-s(r(# r-$+ (% ss&e'(. L(s &res se*(%es $e% c+#&r+% PID !(s(# %-e=+ ( ser s-'($(s !+r e% %&'+ +!er(c+#(%; e% c-(% e#<( %( se*(% ( %( e&(!( $e !+&e#c( 8-e es&7 e# c+#?=-r(c"# PUSPULL. C-(#$+ @(, -#( se*(% !+s&<(; #$e!e#$e#&e'e#&e $e %( '(=#&-$; e% %&'+ ('!%?c($+r @(ce -# cr-ce !+r cer+ , '(#$( -# <+%&(:e $e s(&-r(c"# !+s&<+ + #e=(&<+ $e!e#$e#$+ $e %( !+%(r$($ $e %( se*(% $e e#&r($(.

. RESULTADOS DEL ONITOREO

F(%%" %( (%'e#&(c"# $e9$+ ( es&+ %( res!-es&( $e% %' 35 8-e es e# '% <+%&s (% e#&r(r c+'+ se*(% !(r( c+'!(r(r e# e% c+'!(r($+r se s(&-r(9( $e9$+ ( -#( '(%( (%'e#&(c"# , es+ #+s (rr+:(9( -# <+%&(:e '-, e%e<($+ $e '%<+%&s @(s&( 24V ($e'7s $e 8-e %( se*(% #+ er(. De9$+ (% %+s ?(%%+s +9&e#$+s e# e% crc-&+ PID (#7%+=+ se +!&+ !+r @(cer%+ e# Ar$-#+ PID $=&(%H A% @(cer e% PID $=&(% +9&-<'+s +&r+ &!+ $e err+res e# %+s c-(%es %( se*(% #+ er( c%(r( , #+ res!e&(9( %(s =(#(#c(s !; $; H. As 8-e se $ec$" @(cer -# ss&e'( $e c+#&r+% O#O?? $=&(% &e#e#$+ e% '+#&+re+ c($( se=-#$+ $e %( &e'!er(&-r( , (% +9&e#er &e'!er(&-r(s '(,+res ( 20K se e#ce#$(#
1.AJUSTES U#(

* T('9># se @cer+# cer&+s c('9+s e# e% crc-&+ $e c('9+ $e es&($+ $e %+s re%e<($+res 8-e c('9(9(# $e
11. CONCLUSIONES N+ se +9&-<er+# %+s res-%&($+s es!er($+s $e9$+ ( 8-e %( se*(% er( '-, !e8-e*( $e% %'35 ($e'7s $e 8-e #+ se c+#&(9( c+# %(s ?-e#&es $e (%'e#&(c"# #eces(r(s !er+ (% $ec$r c('9(r !+r e% ss&e'( $e c+#&r+% O#+?? $e %(/+ cerr($+ se +9&-<er+# res-%&($+s '-, s(&s?(c&+r+s &(%es c+'+ -#( 9-e#(
/4


*

12.BIBLIOGRAF6A I#=e#er( $e C+#&r+% 2$( E$c+#; Q. 9+%&+# =tt'!:>>!eroalvarado%8le!%?ord're!!%com>1004>0/>!i!tema!>???%ud@%edu%!v>ud@>arc=ivo>uia>electronica!i!tema!10/+>i>uia<3%'d

10

Proyecto Invernadero por PID

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