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Mô hình điều phối sản xuất tối ưu trong tiêu thụ điện năng

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Y Ec:, K-d/ PJ[ +EL/, \9/, KI-/, Q9FN/ /-1/0 = ? /? Y ,C7/0 D,-.D Q7/ ,L/, = ? /? Y ( Y = ? /? " Y ,C7/0 D,-.D 09-;9 278 = ? /? L Y EIM/0 BIO ,-82 2JM: +9FUJ 10 ( ! $ H + '4 + $ / Z = −2 X + X − X + X + X + MX + MX → X1 − X + X + X = X1 + X − X + X = − X1 + X + X − X + X = X j ≥ 0, j = ÷ + / (* 05 * 5*/ k 0* sQ ? s? B B % % R+ R? RQ RA RM R^ RP RX B RM O ? s? Q ? B B B % RP M Q Q s? B B ? B % RX ? s? ? B s? B ? ^%`B %`Q ?J[K A%s? ? B s%`B B B B RM @ B B A ? s? B ? % RP Q B sA B Q ? sQ ? RQ ? MJ[K s? ? ? B s? B ? Q%`? M%` B sA%`Q B Q%s? B sA%`? ? s? B ? B ?ZQ ?ZM s?ZQ B RM @ B B sQ R? y ? B AJ[K sAZM ? RQ AZQ B ? z B s?ZQ ?ZM y y B B ??ZM B sAZQ s%s?ZM s s? RA A B B ? ?ZA s?ZA B ?ZA sQ R? ??ZM ? B B ?ZM ?ZM ?ZM s?ZM ? RQ { B ? B s?Z?Q s^Z?Q ?ZM ^Z?Q sA?ZM B B B s??Z?Q sXZQ s?ZM XZ?Q cd " - 0+ A, ∀∆ ≤ B, q4 j sA?ZM *+ ! " ! # ' + 0* + 05 C? j ??ZM W CQ j { W CA j A $ % $ & %/ '%/$ 7* C + $ + ( " ( *( $% ) " F ;3 = + 26 F[ ;[ 3: 0$ !! = q ;[ 3: G5 ;5 ! 5= " 0+ ; !4 ! = G5 ;5 QQB % ' 3= = F ; !4 ! !! = +Q 0* + ( " !*/ G5 $( " : $ " 0+ ( +, , / 0* $) + ! + ! : $ ( " 0+ !*/ G5 + : $ ( : 0* / ( : $ ) 0( ( ", /( + \ ' + !, G5 F > /4 ' + ' , *+ ( )( ( +, + + ) ( " ' F *; = ) + /4 0+ " 0+ + ' 6: , ! φ ;[3 9= (0* : ) ! *+ 50+ ( $ H / 0+ ( $ ( " : D ( ! " $ (0* (0* ' / > $4 F 0$ + ! 3*+ + : $ ! ' ! H ' * > 0* + ! 0$ * ( " 0$ !0*$ ( ( : " 1 ( + + , ( " ( " )( " 0+ A$ - " A$ - " # %* ,$ M %4 " NM $ % $ & ( - / ! H + ( " / ! ' ( " > (0* 0+ , ' )$ : D ( ,2 ( " ( ' $! ( )( / /,: $ ( ( '4 _ ( *, ( ( ( 50+ " 0+ " ( +, $ " ( 1: ) ! !*/ ( " " 0+ )( 1, )( 50 + ( *3 $ $ * +4 / (0* ( 40+ ( : ( ( 0+ ! : !*/ ( " 40+ / ( ! + : + $ 50/ : I * " 0+ / ( " ! ) " ( / )( * / + 50/ : & - R $ 4*$ ( - ~ se + !0 / 4*$ ( 0> + ! + / $ + + $) / G5 , "4 + !, 05 R = {Rs1 , Rs , Rs , , Rsn } ~ se & - I $ 4*$ ( - !0 ~a 0> + ! + + / F, "4 + !, 05 I = {I , I , I , , I m } ~a $ R ~ se R, $ + ( !*/ ( * & - N3 $ 4*$ ( - F + !, ! " *+ ' $ $: $ !0 ! !0 + 40+ ( ( ' (0* 50 ~ +3 ' ~a 4*$ ~ 4*$ I *$ ( +, + ( ' H ( " D ( ! - " + ! 4*$ ' $ 0> !*/ < : $ + ) ( + + ( 1( " 0+ + + / ( ( *, "4 05 ! # $ % $ & N = {N , N , N , , N v } ~ 0$ + ( 30* S3 ' 0> : $ ~ $ 4*$ ! ' , + + ' ( I ~a + + ! ( + 19 + ( $ ( ( * N * , !*/ + (0* $ ~ 4*$ + $ 4*$ ~ N 50 ' ( ( 4*$ * N $ + ~ + T: $ ~ + 05 R = R ×I ~ ~ se ~a S = N× I ~ ~ ~a T=R I ~ / $4 :0*+ + ! / " ! ( ! ;T= ~ !*/ ~ R ~ se $: $ ( " 0+ I (0* ~a 0.3 0.7 1.0 0.2 + + + 30 60 100 120 0.2 0.4 0.6 0.8 1.0 0.1 µI a (%a ) = + + + + + 20 40 60 80 100 120 µRse (% se ) = $ + ! $4 ' / N µN (rpm ) = 6 + ~ ! (* 0* ( 0.33 0.67 1.0 0.15 + + + 500 1000 1500 1800 R , S ,T ~ ~ ~ R ~ µ R (30,20) = (0.3,0.2) = 0.2 µ R(30,80) = (0.3,0.8) = 0.3 µ R (30,40) = (0.3,0.4) = 0.3 µ R(30,100) = (0.3,1.0) = 0.3 µ R (30,60) = (0.3,0.6) = 0.3 µ R(30,120) = (0.3,0.1) = 0.1 ~ ~ ~ ! " ! # ~ ~ ~ $ % $ & + 0* 0, +4 ! R ~ 20 05 40 60 80 100 120 [30] [0.2] [0.3] [0.3] [0.3] [0.3] [0.1] R = 60 ~ 100 0.2 0.2 0.4 0.4 0.6 0.6 0.7 0.8 0.7 1.0 0.1 0.1 120 0.2 0.2 0.2 0.2 0.2 0.1 S ~ µ S (20,500) = (0.2,0.33) = 0.2 ~ µ S (20,1000) = (0.2,0.67 ) = 0.2 ~ + 0* 0, +4 ! S ~ 20 40 S = 60 ~ 80 100 120 µ S (20,1500) = (0.2,1.0) = 0.2 ~ µ S (20,1800) = (0.2,0.15) = 0.15 ~ 05 [500] [0.2] [0.33] [0.33] [0.33] [0.33] [0.1] 1000 1500 1800 0.2 0.2 0.15 0.4 0.4 0.15 0.6 0.67 0.67 0.6 0.8 1.0 0.15 0.15 0.15 0.1 0.1 0.1 T ~ µ T (30,500) = max ~ (0.2,0.2)20 , (0.3,0.33)40 , (0.3,0.33)60 , (0.3,0.33)80 , (0.3,0.33)100 , (0.1,0.1)120 = max{0.2,0.3,0.3,0.3,0.3,0.1} = 0.3 µ T (60,1500) = max ~ (0.2,0.2 )20 , (0.4,0.4 )40 , (0.6,0.6 )60 , (0.7,0.8)80 , (0.7,1.0 )100 , (0.1,0.1)120 = max{0.2,0.4,0.6,0.7,0.7,0.1} = 0.7 ! " ! # $ % $ & + 0* 0, +4 ! 05 T ~ 500 1000 1500 1800 30 0.3 0.3 T = 60 0.33 0.67 ~ 100 0.33 0.67 ! H / + 50 /Q + ( " ;λs ! " (0* 4*$ )3 + ! 0.2 / $ ( ! ' $ = 120 # ' /( " 0.2 0.2 0.15 $F, + 1( - / *+ ( " / , u & ! / 3*$ + / + 50 ;αs 0.15 0.15 0.15 " G5 ! I 0.3 0.7 1.0 ( + ! 3)+ I ) ' / + ! ' + $ / ! ' , 4.: = $ % $ & %/ '%/$ / 4*$ $ 50 ( ) ( ! > + ! $ $ " 0+ " 0+ " * ) / Q 4*$ ( 4*$ 0$ Q ' * +* >! " & # ! >, / 4*$ + ! $4 ' + > 4*$ ; $4 >! 6: + $ / + $ 50 (0* ' = (0* ( +: C ~ > ! 4*$ (0* / $4 ' ! ' $ C =C +C ~ ~1 ~ µ C ~ C C ~ ~1 0.5 0.5 z ! 4*$ ( " $4 ' / ) ! ' + µ ! " # +: ~1 $ * " C + + ! ) # 0$ + 10 + " >! ' z $4 + 0*$ , " + + + " ( " ! + : ' 10 $ + 0+ + ( $ ,2 + ' I % $ & k C = ~ k ! ' + 0+ */ 0> C =C i =1 " + $4 ' ~ i ), ~ 0*$ ( " ( /) 0* / 4*$ ? % : D + / < 0* + (I ; := 0* + µ C (z ∗ ) ≥ µ C ( z ) ~ ∀z ∈ Z ~ : D ( " µ z* Q : D + 0* / + 0* z ! + '4 ; z∗ = ! :4 := µ C ( z ) ì z.dz ~ C ( z ).dz ~ : D ( " µ z* ! " ! # z $ % $ & A : D 0* + / + ! 0* ! ;Y : ! := + z∗ = () C (z ) àC z ìz ~ ~ : D ( " 6: µ 0.9 0.5 a b M z 0* z∗ = + 4 !5 ! 0.5 × a + 0.9 × b 0.5 + 0.9 $4 ' ;4 s4 = : D ( " 6: µ 0.9 0.5 a ! " ! b # z z∗ = a+b $ % $ & ^ : D + 0* / + '4 0* / ; ! [ 45= + n µ C ( z ) dz z ∗ n + µ C ( z ) dz ~ k k =1 Z 0* ~ k k =1 Z z = P + '4 / $ 3*+ ; ! [ ! ! = : D + / 0* + zìàC z = ~ m Z µC (z )dz ( ( " Z X 0* + ! (z )dz ~ m ' ; ) $ = ;[ !5 !3 [4 94 = ! " ! # $ % $ & %/ '%/$ !"/ + ) ' 0> + ( " ' 0*$ ;! = + 0$ ( + + ( , + / ! ) ' 0$ ( + ! 1( + ! #1 + $4 + ' $4 ' ! ,7 "2 %/$ ,4% ' ' $4 + 1( + ! ,7 50 / 0*/ ( ' (0 ! ( + + + H ! " 40+ ' ! 0> * ! + 40+ " ,2 ' ,K + $4 ! ' > (0* : + , K ,2 ' " , $4 ' $ ' *+ + ! $ , K, ' 0$ > ! $ $ " ,K ( " 0$ ( +, ( + (0* ! ! , ' " ! + G 0! / + / K )? G?? G?Q K K G? )Q GQ? GQQ K K GQ K K K K K K K K K K K K ) G K K G 9?, 9Q, K + )?, )Q, K ) 0> Gk 0+ k / " ) ' K Q " , ) ' 9Q G , ,K , ! 9? ? ! > ( "4 $ + ! ( + + 0$ ( " / + ( " ) ' I / "( 0*/ ( ! 0+ % $ *+ > 0+ b Rij = j =1 Rij ≥ ! " ! # $ & N j ;Y?, YQ, K, Y = $ * ! / N9 + ( 0$ $4 ) / 0> + + + ! 0* + ;)?, )Q, K ) = ) ' " "4 ! ' + $ ) ( ! " ) ( ' 0> + = _ $ 5 + Q 0+ ,k ; + *+ , $ + + * ! >! $ ! " ! " * k , ! g4 k j @i * k , ! g4 k j Oi g4 k j Xi * k , g4 k j Pi * k " , ! * k * k + , ! * k 07 g4 k j ^i " , g4 k j Mi g4 k j Ai + , 0k , g4 k j Qi g4 k j ?i " 30 )+ k j ? Z 4k & 19 + ( ' ! 07 ( + ! 0! >! $ * k , 7 " ! + ! 50 4*$ (0 ! ( + !0*$ *( + 0+ , ! ! $ 26 N j gY?, YQ, ) , : $ , Y i , *+ Y $ ! / - :0 ! ' )+ 0*/ / / % !2 , + 0*+ 0*+ ? jg: ki *+ : k j 0*+ Q " ! " 0/ ! H $ # (0* + 0> 54 k , 5jQ ) ' ) 5j?B $ / ! , $ % $ / + : j : k ` :k2 $ & 0*+ A + " 6: / + ! Nj + ! ! " ) ( 7 " ! " ) ( k " ) ( k! >! $ " k k k7 k ! * k * k + , ! * k ! ! * 07 " , # "4 @ ' E ) 0*+ g4 k j Oi g4 k j Mi g4 k j Ai + , , g4 k j Qi g4 k j ?Z@i , , ! * k * , g4 k j ?ZPi g4 k j ?Z^i " , + , * g4 k j ?ZOi g4 k j ?ZXi " , ! $ j k k2 g4 k j ^i * * k j 5:? k * k , g4 k j Pi * ! ,4 $ g4 k j ?i ! * ! g4 k j Xi ! ! 07 ! " * k , 0! >! $ ! " * k , " , + g4 k j @i 0k , k k + * k , * k ! $ ! 07 / r, *+ r j g?,?,?,K,?i / :? j :? k ` :?k2 + ! 07 ) ! 0! >! $ ! + + + ( " + ! ) ! >! $ H ? "( + ! " ! 0/ 0*+ M 0*+ ^ g4 k j ?ZMi g4 k j ?ZAi + , g4 k j ?ZQi $ % $ & ? Q A M ^ P X O @ ? ? y ?ZX ?ZO ?Z@ ?ZO ?ZX y ? Q Q ? y ?Z^ ?ZX ?Z^ y ? Q A X Q ? y ?Z^ y ? Q X M O ^ Q ? y ? Q ^ O ^ @ X ^ Q ? Q ^ X @ P O ^ Q ? y ? Q ^ O X X Q ? y ?Z^ y ? Q X O Q ? y ?Z^ ?ZX ?Z^ y ? Q @ ? y ?ZX ?ZO ?Z@ ?ZO ?ZX y ? _ / ! / 0$ $4 ' 05 Y? j B BQB^XQ YQ j B BMQQ?M YA j B B@P^PM YM j B ?OAX?A Y^ j B A?AOXM YP j B ?OAX?A YX j B B@P^PM YO j B BMQQ?M Y@ j B BQB^XQ ! " ! # $ % $ & ! " #$ ' (# ' ) * # ++/# 011% ? @ * * @ A B D " : @ ; < C ; E : %&# +,- .$ " # $ %+# "# ,%&.,%0# 011/ @ G N @ ;C P : Q G R0S011RT < ) < ; G

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