R S % - 有機朗肯循環在工業程序廢熱回收之應用

' % Î > x {

tik ^R i ^F ^] M b k ^? ^] tjk ^k ^R j ^F ^] M b k ^? ^]

thijk ^{~ $} ^, ^~ (ij)^F ^F k ^? ^, ^R ^L ^] tcijk ^{~ $} ^, ^~ (ij)^F ^F k ^? ^, ^k ^R ^L ^] thimk ^{~ $} ^, ^~ (im)^F ^F k ^? ^, ^R ^L ^] tcmjk ^{~ $} ^, ^~ (mj) ^F ^F k ^? ^, ^k ^R ^L ^] rhijk ^B ^k ^R j ^, ^~ ^F ^F k ^R i ^{? b} ^R ^u

rcijk ^B ^R i ^, ^~ ^F ^F k ^k ^R j ^{? b} ^R ^u rhimk ^{B )} ^* ^R ^{^} m ^, ^~ ^F ^F k ^R i ^{? b} ^R ^u rcmjk ^{B )} ^* ^R ^{^} m ^, ^~ ^F ^F k ^k ^R j ^{? b} ^R ^u

dtijk,in ^" ^R i^B ^" ^k ^R j ^, ^~ ^, ^E ^F ^R ^L ^?

] }

dtijk,out ^" ^R i^B ^" ^k ^R j ^, ^~ ^, ^E ^F ^R ^L ^?

] }

dtimk,in ^" ^R i^{B )} ^* ^R ^{^} m ^, ^~ ^, ^E ^F ^R ^L ^?

] }

dtimk,out ^" ^R i^{B )} ^* ^R ^{^} m ^, ^~ ^, ^E ^F ^R ^L ^?

] }

dtmjk,in ^{) *} ^R ^{^} m ^B ^" ^k ^R j ^, ^~ ^, ^E ^F ^k ^R ^L ^?

] }

dtmjk,out ^{) *} ^R ^{^} m ^B ^" ^k ^R j ^, ^~ ^, ^E ^F ^k ^R ^L ^?

] }

dti,cu,in ^" ^R i^{B "} ^O ^? ^] ^h ^D cu^, ^~ ^, ^E ^F ^" ^O ^?

] h D L ? ] }

dti,cu,out ^" ^R i^{B "} ^O ^? ^] ^h ^D cu^, ^~ ^, ^E ^F ^" ^O ^?

] h D L ? ] }

dthu,j,in ^" ^k ^R j ^{B "} ^O ^? ^v ^] ^h ^D hu ^, ^~ ^, ^E ^F ^" ^O ^?

v ] h D L ? ] }

dthu,j,out ^" ^k ^R j ^{B "} ^O ^? ^v ^] ^h ^D hu ^, ^~ ^, ^E ^F ^" ^O ^?

v ] h D L ? ] }

* 3.4 R S %

' % Î > x {

dtm,cu,in ^{) *} ^R ^{^} m ^{B "} ^O ^? ^] ^h ^D cu^, ^~ ^, ^E ^F ^" ^O ^?

] h D L ? ] }

dtm,cu,out ^{) *} ^R ^{^} m ^{B "} ^O ^? ^] ^h ^D cu^, ^~ ^, ^E ^F ^" ^O ^?

] h D L ? ] }

dthu,m,in ^{) *} ^R ^{^} m ^{B "} ^O ^? ^v ^] ^h ^D hu ^, ^~ ^, ^E ^F ^" ^O ^?

v ] h D L ? ] }

dthu,m,out ^{) *} ^R ^{^} m ^{B "} ^O ^? ^v ^] ^h ^D hu ^, ^~ ^, ^E ^F ^" ^O ^?

v ] h D L ? ] }

qijk ^" ^R i^B ^" ^k ^R j ^, ^~ ^, ^E ^F ^F k ^? ^>

qimk ^" ^R i^{B )} ^* ^R ^{^} m ^, ^~ ^, ^E ^F ^F k ^? ^>

qmjk ^{) *} ^R ^{^} m ^B ^" ^k ^R j ^, ^~ ^, ^E ^F ^F k ^? ^>

qi,cu ^" ^R i^{B "} ^O ^? ^] ^h ^D cu^, ^~ ^, ^? ^>

qhu,j ^" ^k ^R j ^{B "} ^O ^? ^v ^] ^h ^D hu ^, ^~ ^, ^? ^>

qm,cu ^{) *} ^R ^{^} m ^{B "} ^O ^? ^] ^h ^D cu^, ^~ ^, ^? ^>

qhu,m ^{) *} ^R ^{^} m ^{B "} ^O ^? ^v ^] ^h ^D hu ^, ^~ ^, ^? ^>

fm ^{) *} ^R ^{^} m ^? ^¿ ^´ ^> ^R ^u

fimk ^{~ $} ^, ^~ (im)^F ^F k ^{? )} ^* ^R ^{^} m ^´ ^> ^R ^u fmjk ^{~ $} ^, ^~ (mj)^F ^F k ^{? )} ^* ^R ^{^} m ^´ ^> ^R ^u fm,cu ^{~ $} ^, ^~ (m, cu)^{? )} ^* ^R ^{^} m ^´ ^> ^R ^u

fhu,m ^{~ $} ^, ^~ (hu, m)^{? )} ^* ^R ^{^} m^´ ^> ^R ^u W_m^p ^{~ $} ⁾ ^* ^R ^{^} m^E ³ ^# ⁴ ⁵ ^? ⁵

W_m^t ^{~ $} ⁾ ^* ^R ^{^} m^E ^# ? 5

0,1% Q | $ 1 S ? Î > x { Î > x {

zijk ^" ^R i^B ^" ^k ^R j ^, ^~ ^, ^S ^F

zimk ^" ^R i^{B )} ^* ^R ^{^} m ^, ^~ ^, ^S ^F

zmjk ^{) *} ^R ^{^} m ^B ^" ^k ^R j ^, ^~ ^, ^S ^F

zi,cu ^" ^R i^{B "} ^O ^? ^] ^h ^D cu^, ^~ ^, ^S ^F

zhu,j ^" ^k ^R j ^{B "} ^O ^? ^v ^] ^h ^D hu ^, ^~ ^, ^S ^F

zm,cu ^{) *} ^R ^{^} m ^{B "} ^O ^? ^] ^h ^D cu^, ^~ ^, ^S ^F

zhu,m ^{) *} ^R ^{^} m ^{B "} ^O ^? ^v ^] ^h ^D hu ^, ^~ ^, ^S ^F

3.5

/ 0 l 1 2

(Objective Function and Contraints)

F _ O ^ E $ · ~ # U $ % & k \ | E D t u ? v

w ( B 0 1 2 y

3.5.1

3 4 5

(Constraints)

1. " R ^ ? ¿ h > q y

À Q " R ^ # 4 # G ~ Q k ¦ ? ¿ > ¯ ° | $ # R ?

, ? ¿ h > y

j∈J

k∈K

qijk+

m∈M

k∈K

qimk +

cu∈C

qi,cu = F Ci(Ti,in− Ti,out) ∀i ∈ I (3.1)

i∈I

k∈K

qijk+

m∈M

k∈K

qmjk+

hu∈H

qhu,j = F Cj(Tj,in− Tj,out) ∀j ∈ J (3.2)

2. " R ^ F À ^F ? h > q y

F $ % & ^ E À ^F ? " R ^ h > q ^O > e ¥ À ]

M b ? ] y

j∈J

qijk+

m∈M

qimk = F Ci(tik− ti,k+1) ∀i ∈ I, ∀k ∈ K (3.3)

i∈I

qijk+

m∈M

qmjk = F Cj(tjk− tj,k+1) ∀j ∈ J , ∀k ∈ K (3.4)

3. " O h D ? h > q y

$ E " R ^ R $ % & ¤ ? ] ` 0 1 ] E ° Y ' = ?

h > < = ~ $ s " R ^ E N D H I L 0 1 ] y

cu∈C

qi,cu = F C_i(t_i,K+1− T_i,out) ∀i ∈ I (3.5)

hu∈H

qhu,j = F Cj(Tj,out− tj1) ∀j ∈ J (3.6)

4. À , ? h > q y

À , ? > $ # % E s S 8 ¸ ~ ) b R B ? %

µ ) ] % y

qijk = rhijkF Ci(tik− thijk) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (3.7) qijk = rc_ijkF Cj(tc_ijk− t_j,k+1) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (3.8) qimk = rh_imkF Ci(t_ik− th_imk) ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (3.9) qmjk = rc_mjkF Cj(tc_mjk− t_j,k+1) ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (3.10)

5. À ^F b R , ^ ? ´ > q

F À ^F ? b R , (splitter) ^ E À Q " R ^ ? R > ¯ ° | $

À Q " R ^ b R R > ? ¿ µ y

j∈J

rhijk+

m∈M

rhimk = 1 ∀i ∈ I, ∀k ∈ K (3.11)

i∈I

rcijk+

m∈M

rcmjk = 1 ∀j ∈ J , ∀k ∈ K (3.12)

6. ) * R ^ ? ¿ h > q y

1 + , # · ¿ > Q k - , # ^} ¿ > ¯ ° | $ # R ?

, ? ¿ h > y

i∈I

k∈K

qimk+

hu∈H

qhu,m = f_mΔH_m^e ∀m ∈ M (3.13)

j∈J

k∈K

qmjk+

cu∈C

qm,cu = f_mΔH_m^c ∀m ∈ M (3.14)

3.5 ¯ 6 7 u ° 8 9 & (Objective Function and Contraints) 35

7. 1 + , ? h > q B ´ > q y

À 1 + , ? > ¯ ° | $ b R ? ^U } Q E 5 ) * R ^ ?

R > ¯ ° | $ ) * R ^ b R R > ? ¿ µ y

qimk = fimkΔH_m^e ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (3.15) qhu,m = f_hu,mΔH_m^e ∀hu ∈ H, ∀m ∈ M (3.16)

fm =

i∈I

k∈K

fimk+

hu∈H

fhu,m ∀m ∈ M (3.17)

8. k - , ? h > q B ´ > q y

À k - , ? > ¯ ° | $ b R ? ^U } Q E 5 ) * R ^ ?

R > ¯ ° | $ ) * R ^ b R R > ? ¿ µ y

qmjk = fmjkΔH_m^c ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (3.18) qm,cu = fm,cuΔH_m^c ∀m ∈ M, ∀cu ∈ C (3.19)

fm =

j∈J

k∈K

fmjk+

cu∈C

fm,cu ∀m ∈ M (3.20)

9. µ ³ ? h > q y

# ? 5 ¯ ° | $ D L ^U } Q E ³ # 5 ¯ ° |

$ L ^U } Q y

W_m^p = f_mΔH_m^p ∀m ∈ M (3.21)

W_m^t = f_mΔH_m^t ∀m ∈ M (3.22)

10. @ ¥ $ % & L ] y

, $ L ] J H = ? Q E E À Q " R ^ ? L ] # J $ %

& L ] y

ti1 = Ti,in ∀i ∈ I (3.23)

tj,K+1 = T_j,in ∀j ∈ J (3.24)

11. " (k ) R ] 0 ® (X )v w y

_ v w ( 6 ] F À ] M b ? ) > , E $ " R ] !

! P 0 ® E " k R ] ! ! P 0 X y

tik ≥ t_i,k+1 ∀i ∈ I, ∀k ∈ K (3.25)

ti,K+1 ≥ Ti,out ∀i ∈ I (3.26)

tjk ≥ tj,k+1 ∀j ∈ J , ∀k ∈ K (3.27)

Tj,out ≥ tj1 ∀j ∈ J (3.28)

3.5 ¯ 6 7 u ° 8 9 & (Objective Function and Contraints) 37

12. v w ( y

O v w ( µ 0-1 % > e ¥ , ? S F B " E ] 0-1 %

| $ 1 S E ~ s D t ~ X , S F E ³ E ] 0-1 % |

$ 0 S E s % t ~ X , @ S F E D ^ Q^U ^J ^> ^?

K v Q E Q^L ^J ^> ^? ⁴ ^v ^Q ^y

Q^Lzijk ≤ qijk ≤ Q^Uzijk ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (3.29) Q^Lzimk ≤ qimk ≤ Q^Uzimk ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (3.30) Q^Lzmjk ≤ qmjk ≤ Q^Uzmjk ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (3.31) Q^Lzi,cu ≤ qi,cu ≤ Q^Uzi,cu ∀i ∈ I, ∀cu ∈ C (3.32) Q^Lzhu,j ≤ q_hu,j ≤ Q^Uzhu,j ∀hu ∈ H, ∀j ∈ J (3.33) Q^Lzm,cu ≤ q_m,cu ≤ Q^Uzm,cu ∀m ∈ M, ∀cu ∈ C (3.34) Q^Lzhu,m ≤ qhu,m ≤ Q^Uzhu,m ∀hu ∈ H, ∀m ∈ M (3.35)

13. , < ] } v w y

s v w ( O k ± ² # Y * h ? , ? # ^ i J ' Q y ] 0-1%

| $ 1S E ~ s D t ~ X , S F E ³ E ] 0-1 %

| $ 0 S E s % t ~ X , @ S F E s S ? # ^ i * J

Ã $ Ï ! E D ^ Γ ^J ^] ^} ^? ^K ^v ^y

dtijk,in ≤ tik− tcijk+ Γ (1 − zijk) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (3.36) dtijk,out ≤ thijk− tj,k+1+ Γ (1 − zijk) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (3.37) dtimk,in ≤ tik− T_m,out^e + Γ (1 − zimk) ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (3.38) dtimk,out ≤ th_imk− T_m,in^e + Γ (1 − z_imk) ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (3.39) dtmjk,in ≤ T_m,out^c − t_j,k+1+ Γ (1 − z_mjk) ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (3.40) dtmjk,out ≤ T_m,in^c − tc_mjk+ Γ (1 − z_mjk) ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (3.41) dti,cu,in ≤ Ti,out− Tcu,in+ Γ (1 − zi,cu) ∀i ∈ I, ∀cu ∈ C (3.42) dti,cu,out ≤ ti,K+1− Tcu,out+ Γ (1 − zi,cu) ∀i ∈ I, ∀cu ∈ C (3.43) dthu,j,in ≤ Thu,in− Tj,out+ Γ (1 − zhu,j) ∀hu ∈ H, ∀j ∈ J (3.44) dthu,j,out ≤ T_hu,out− t_j1+ Γ (1 − z_hu,j) ∀hu ∈ H, ∀j ∈ J (3.45) dtm,cu,in ≤ T_m,out^c − T_cu,in+ Γ (1 − z_m,cu) ∀m ∈ M, ∀cu ∈ C (3.46) dtm,cu,out ≤ T_m,in^c − Tcu,out+ Γ (1 − zm,cu) ∀m ∈ M, ∀cu ∈ C (3.47) dthu,m,in ≤ Thu,in− T_m,out^e + Γ (1 − zhu,m) ∀hu ∈ H, ∀m ∈ M (3.48) dthu,m,out ≤ Thu,out− T_m,in^e + Γ (1 − zhu,m) ∀hu ∈ H, ∀m ∈ M (3.49)

3.5 ¯ 6 7 u ° 8 9 & (Objective Function and Contraints) 39

14. ] } 4 v Q y

] } ¯ ° $ | $ ΔTmin^{E s} ^v ^w ⁽ ^# ^O ^> ^% ^& ^?

, ½ y

dtijk,in, dtijk,out ≥ ΔTmin ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (3.50) dtimk,in, dtimk,out ≥ ΔT_min ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (3.51) dtmjk,in, dtmjk,out ≥ ΔT_min ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (3.52) dti,cu,in, dti,cu,out ≥ ΔT_min ∀i ∈ I, ∀cu ∈ C (3.53) dthu,j,in, dthu,j,out ≥ ΔTmin ∀hu ∈ H, ∀j ∈ J (3.54) dtm,cu,in, dtm,cu,out ≥ ΔTmin ∀m ∈ M, ∀cu ∈ C (3.55) dthu,m,in, dthu,m,out ≥ ΔTmin ∀hu ∈ H, ∀m ∈ M (3.56)

15. ) * R ^ ? v w ( y

) * R ^ # 4 # ? > ¶ Æ ^s (Sensible Heat)k \ (Latent Heat)E

5 " R K # U + > * J ) * R ^ ? E D ] B 1 +

, \ * ] ? ] } ¯ ° v $ u 8 ] } E # k ] R F 1 + ,

U + u S E D ] } ^V | $ u 8 ] } E $ Ó 3.3 y

fimkL^e_m ≤ rhimkF Ci

tik− (T_m,out^e + ΔTmin)

∀i ∈ I, ∀m ∈ M, ∀k ∈ K (3.57)

) 3.3 v w ( % x X (a) ` u E (b)u

tik

Tm,out Tm,in

ΔT

e e

(a) (b)

16. % ? ! v y

Ð % ) > ? ! E $ * k ( ' ( ) # 4 S / y

Ti,in ≥ t_ik ≥ T_i,out ∀i ∈ I, ∀k ∈ K (3.58)

Tj,out ≥ tjk ≥ Tj,in ∀j ∈ J , ∀k ∈ K (3.59)

qijk ≤ F Ci(Ti,in− Ti,out) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (3.60) qijk ≤ F Cj(Tj,out− Tj,in) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (3.61) qimk ≤ F C_i(T_i,in− T_i,out) ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (3.62) qmjk ≤ F C_j(T_j,out− T_j,in) ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (3.63) qi,cu ≤ F Ci(Ti,in− Ti,out) ∀i ∈ I, ∀cu ∈ C (3.64) qhu,j ≤ F Cj(Tj,out− Tj,in) ∀hu ∈ H, ∀j ∈ J (3.65)

3.5 ¯ 6 7 u ° 8 9 & (Objective Function and Contraints) 41

3.5.2

: y ; <

(Objective Function)

p 9 ( 0 1 2 O > 5 E D 0 ? J u v ? $ "

J * O ^W 5 E D s % ( $ 4 @

J2 =

m∈M

W_m^t (3.66)

3.5.3

- / 0 ^$ 1 2 3 5 4 =

$ 3.5 # c q ? v w ( B 0 1 2 ) o ( ) * + ,

f g E E $ ( # % y D ^ x₃ ^J ^e ^± ^% ^E Ω₃^J ⁹ ⁽ ^{^} ^# ^Y ^v ^w ⁽

. ) o ? * d d y

xmax3∈Ω3

x₃ ≡

⎧⎪

⎪⎪

⎨

⎪⎪

⎪⎩

tik, tjk, thijk, thimk, tcijk, tcmjk, rhijk, rhimk, rcijk, rcimk, dtijk,in, dtijk,out, dtimk,in, dtimk,out, dtmjk,in, dtmjk,out, dti,cu,in, dti,cu,out, dthu,j,in, dthu,j,out, dthu,m,in, dthu,m,out, dtm,cu,in, dtm,cu,out, qijk, qi,cu, qhu,j, qimk, qmjk, qm,cu, qhu,m, fm, fimk, fmjk, fhu,m, fm,cu, zijk, zi,cu, zhu,j, zimk, zmjk, zm,cu, zhu,m

∀i ∈ I, j ∈ J , m ∈ M, k ∈ K, cu ∈ C, hu ∈ H

⎫⎪

⎪⎪

⎬

⎪⎪

⎪⎭

Ω₃ = { x₃ | Equations (3.1)-(3.66)}

3.6

^& ^?

p I J ? 5 d " * k b J < > : E 1 > : ) o N O Y

+ , m n 4 ? , ! " % & E D 0 ? F $ O 7 ) N O Y

+ , ? / E Õ m A (Pinch Point)k 4 ? / E : J K \ *

$ m A k K ? / E $ 8 o 1 ¢ ? N O > X ~ E $ s > E # ^ Y

+ , ? ~ N 9 : h D 5 @ " E _ s § ` K

B ? 0 ? y 1 N > : $ Y + , b $ m A k 4 ? M b E R

B " R ^ ) E U o 9 ? , ! " % & y

F G E M Ø $ N O r Ð K ? ? ^ > 9 ( ? 9 y _ ? ^ ,

Colberg and Morari(1990)U > ? E g 0 ¶ Æ a 7 Q " R 5 ) Q "

k R k \ v ' 1 ¢ µ k ¦ Ì E " R . 4 ? L ] µ P R u ?

k v ^h j $ Í 3.5 E 5 » u 8 ] } ? ¥ J 20 y F 9 ( 5 d P

m O v ^F 9 ( R S I ^ (General Algebraic Modeling SystemE GAMs) E

# N O ? d ¿ P ( J SBBµ BARON < / P ( ) N O y

k 4 J ? ^ ` X O $ 5 d R " 6 y

> : @ N O ORC » ! " ) o

1 2 E k 1 N O U \ ? * ] ( µ , ! " 9 ( 5 d E D

0 1 2 J u 8 8 h D N O > y ] ^F 0 (K) ¥ J 3S E D

, ! " % E $ Ó 3.4 # % y % & ^ ¶ Æ 9 , 5 1 k ¦ , k \

2 1 ¢ ~ , y ¤ E " R ^ 4 # N O v ' 1 ¢ 244.1

kWE k \ k ¦ Ì 172.6 kWE * N # Y " R ^ ` K 0 1 m Z y D ^

3.6 ^' ^{^} 43

E " k R 1(C1) 4 # v ' 1 ¢ 141.0 kWE " k R 4(C4) 4 # v ' 1 ¢

103.1 kWk \ " R 3(H3) 4 # N O k ¦ Ì 172.6 kWy

, % E * k j = " R 3(H3) ~ 4 # N O k ¦ Ì E 5 _ s % a

Y ? S F E # k F 4 > : $ c q Y + , ) $ " ^ E

B " ^ p ~ m O ? y

> : N @ N O ORC » ! " ) o

, > : ? % E * k j = E % & ^ < ^F ? M b M $ m A k

K ? / E # k F > : N ? S W 8 $ < ^F ? % & U ¥ R ⁽ O K

> : N y - k 1 7 O U \ ? R = ) ' , ! " 9 ( 5 d E

F 0 (K) ¥ J 4y Y + , ? ) * R ^ _ < N O ' ⁾ ^* E F

G M Ø N O < * @ A ? Y + , J , ! " E D

a v ^h ^Y O * S A@

1. 1 + , L ] J 186.5 ^◦CE k - , L ] J 80 ^◦C

D , ! " % E $ Ó 3.5 # % E % & ^ ¶ Æ a 9 , 5

2 1 ¢ ~ , 5 1 1 + , k \ 3 k - , y F 1 + , ? Ñ b E

) * R ^ ] " R 3(H3) · > 354.3 kW F k - , ? Ñ b E

) * R ^ ^} " k R 3(C3) 63.4 kW5 " k R 4(C4) 118.3 kW

k \ k ¦ Ì 128.9 kWy 7 , N O Y + , E " R 3(H3) ? k ¦ Ì 4 5 * k ] 172.60 kWÒ Ò Y E 5 Y + , m O ·

K ? " ¸ ~ a h > 45.9 kWy

2. 1 + , L ] J 186.5 ^◦CE k - , L ] J 50 ^◦C

* 3.5 " R t u v ^h

" R ^ P R u L ] L ]

F Cp(kW/K) Tin(^◦C) Tout(^◦C)

" R 1(H1) 9.802 353 313

" R 2(H2) 2.931 347 246

" R 3(H3) 6.161 255 80

" k R 1(C1) 7.179 224 340

" k R 2(C2) 0.641 116 303

" k R 3(C3) 7.627 53 113

" k R 4(C4) 1.690 40 293

v ' 1 ¢ - 377 377

k ¦ Ì - 20 30

ΔTmin = 20(^◦C)

] k - , L ] J 50^◦CS E D , ! " % E $ Ó 3.6# % E

% & ^ ¶ Æ a 9 , 5 2 1 ¢ ~ , 5 1 1 + , k \ 1

k - , y F 1 + , ? Ñ b E ) * R ^ ] " R 3(H3)· >

172.6 kW F k - , ? Ñ b E ) * R ^ ^} k ¦ Ì 145.4 kWy

} ~ E " R 3(H3) s @ 4 # N O k ¦ Ì Y + , ¸

~ ? h > ¦ Ò J 28.1 kWy

< * @ A \ * m n 4 ? % E $ Í 3.6 # % E B C < « ? % E * k +

E ] k - , L ] J 80^◦CS E 1 + , # · ? > B C v ? E

× G # h ¸ ~ ? h > Y ? } E _ : J ) * R ^ B "

k R ? , ~ S F E # k ] k u 8 5 k \ @ X ~

1 ¢ N O > J 0 1 S E " R 8 _ < > U + > ) * R ^ E 5

3.6 ^' ^{^} 45

* 3.6 1 7 O ? ^ % E B C

Without With ORC ORC Case1 Case 2

(Evaporator) 186.5 °C 81.0 °C

80 °C

3.6 ^' ^{^} 47

(Evaporator) 186.5 °C 50.9 °C

50 °C

4

[ M N O ´ & ' ( ^#

) µ ¶ ·

4.1

! " # $

F O ? R = ) ' , ! " 9 ( & ^ E Y + ,

? , k R = P ( E , O ? ? ^ * k + ^K E 1

+ , B k - , ? \ * ] K v w ? y : J F 1 + , Q k - , ^ @

8 Y t % 8 + ~ E 5 ) * R ^ + ~ t % 8 S 8 ¶ Æ ^s ^C (Sensible Heat Zone)µ ^C (Latent Heat Zone)E K k R = P ( F E ] " R @ I

k U + Q · ^s ^C B ^C ? > ¿ µ E D , ~ ? * h

, Õ 8 G K ^¾ y K 1 + , Q k - , k > = P ( F E * k N )

* R ^ F ) 7 ? ] / B " R ^ E 5 @ 8 ^R R = 9 (

s K v w E # k F s O 6 > = ) ' , ! " 9 ( $ $

x & y

) 4.1 > = ) ' , ! " $ % & % x X

… Stage k Temp. Location

Temp. Location

… Stagek Temp. Location

Temp. Location

HE_ijiik_jj E_im_{ii k} tt _ijiik_jj rh

rr _ijiik_jj

tc_ijiik_jj rcrr _ijiik_jj

2. " R -) * R ^

3. " R -" O ] h D

4. ) * R ^ -" k R

5. " O v ] h D -" k R

6. ) * R ^ -" O ] h D

7. " O v ] h D -) * R ^

< = E ] $ % & ? % x X ^* k Y + , ^ ? 1 + , ? F

P ( Y < / E b 2 > = B R = E ) * R ^ * k R j ? 1 + ,

E u ^B ` K 0 1 m Z E 5 k - , t A ? P ( y

4.3

§ e f g h « g i j k l m l

(Indices, Sets,

Pa-rameter, and Variables)

, ! " 9 ( ^ ? 4 5 (indices)5 . ⁾ (sets)5 R S (parameter)

k \ R S % (¶ + ¬ % B 0-1 % )(variables)E F _ Ñ b j g B

1 7 O @ A ? Ñ b E p r $ b 2 j $ Í 4.1 Ò Í 4.2y

* 4.1 R S

R S Î > x {

δ ^z ⁸ ^? ^Q

U ^z ^? ^Q

* 4.2 R S %

' % Î > x {

t^e_mk ^{F 1} ⁺ ^, ^Ñ ^b ^E ⁾ ^* ^R ^{^} m ^F ^] M b k ^? ^] t^c_mk ^F ^k ^- ^, ^Ñ ^b ^E ⁾ ^* ^R ^{^} m ^F ^] M b k ^? ^]

t^e,n_mk ^{F 1} ⁺ ^, ^Ñ ^b ^E ⁾ ^* ^R ^{^} m ^X ^O ^$ disjunction ? ] %

t^c,n_mk ^F ^k ^- ^, ^Ñ ^b ^E ⁾ ^* ^R ^{^} m ^X ^O ^$ disjunction ? ] %

λ^e_mk ^{) *} ^R ^{^} m ^F ^] ^M ^b k ^{S ?} ⁵ ⁸ λ^c_mk ^{) *} ^R ^{^} m ^F ^] ^M ^b k ^{S ?} ^- ^%

λ^e_hu,m ^{) *} ^R ^{^} m ^{B "} ^O ^v ^] ^h ^D hu ^S ^? ⁵ ⁸

λ^c_m,cu ^{) *} ^R ^{^} m ^{B "} ^O ^] ^h ^D cu ^S ^? ^- ^%

Λ^e_m ^{) *} ^R ^{^} m ^? ^¿ ⁵ ⁸ Λ^c_m ^{) *} ^R ^{^} m ^? ^¿ ^- ^% f c^e_m ^{) *} ^R ^{^} m ^? ^P ^R ^u f c^c_m ^{) *} ^R ^{^} m ^? ^P ^R ^u

0,1% Q | $ 1 S ? Î > x { Î > x {

y^e,n_mk ^{F 1} ⁺ ^, ^Y ^t ^% ⁸ ⁺ ^~ y^c,n_mk ^F ^k ^- ^, ^Y ^t ^% ⁸ ⁺ ^~

4.4

/ 0 l 1 2

(Objective Function and Contraints)

F _ O ^ E $ · ~ # U $ % & k \ | E D t u ? v

w ( B 0 1 2 y

4.4.1

3 4 5

(Constraints)

1. " R ^ ? ¿ h > q y

À Q " R ^ # 4 # G ~ Q k ¦ ? ¿ > ¯ ° | $ # R ?

, ? ¿ h > y

j∈J

k∈K

qijk+

m∈M

k∈K

qimk +

cu∈C

qi,cu = F Ci(Ti,in− Ti,out) ∀i ∈ I (4.1)

i∈I

k∈K

qijk+

m∈M

k∈K

qmjk+

hu∈H

qhu,j = F Cj(Tj,in− Tj,out) ∀j ∈ J (4.2)

2. " R ^ F À ^F ? h > q y

F $ % & ^ E À ^F ? " R ^ h > q ^O > e ¥ À ]

M b ? ] y

j∈J

qijk+

m∈M

qimk = F Ci(tik− ti,k+1) ∀i ∈ I, ∀k ∈ K (4.3)

i∈I

qijk+

m∈M

qmjk = F Cj(tjk− tj,k+1) ∀j ∈ J , ∀k ∈ K (4.4)

3. " O h D ? h > q y

$ E " R ^ R $ % & ¤ ? ] ` 0 1 ] E ° Y ' = ?

h > < = ~ $ s " R ^ E N D H I L 0 1 ] y

cu∈C

qi,cu = F C_i(t_i,K+1− T_i,out) ∀i ∈ I (4.5)

hu∈H

qhu,j = F Cj(Tj,out− tj1) ∀j ∈ J (4.6)

4. À , ? h > q y

À , ? > $ # % E s S 8 ¸ ~ ) b R B ? %

µ ) ] % y

qijk = rhijkF Ci(tik− thijk) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (4.7) qijk = rc_ijkF Cj(tc_ijk− t_j,k+1) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (4.8) qimk = rh_imkF Ci(t_ik− th_imk) ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (4.9) qmjk = rc_mjkF Cj(tc_mjk− t_j,k+1) ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (4.10)

5. À ^F b R , ^ ? ´ > q

F À ^F ? b R , (splitter) ^ E À Q " R ^ ? R > ¯ ° | $

À Q " R ^ b R R > ? ¿ µ y

j∈J

rhijk+

m∈M

rhimk = 1 ∀i ∈ I, ∀k ∈ K (4.11)

i∈I

rcijk+

m∈M

rcmjk = 1 ∀j ∈ J , ∀k ∈ K (4.12)

6. ) * R ^ ? ¿ h > q y

1 + , # · ¿ > Q k - , # ^} ¿ > ¯ ° | $ # R ?

, ? ¿ h > y

i∈I

k∈K

qimk+

hu∈H

qhu,m = fc^e_m(T_m,out^e − T_m,in^e ) + Λ^e_m ∀m ∈ M (4.13)

j∈J

k∈K

qmjk+

cu∈C

qm,cu = fc^c_m(T_m,in^c − T_m,out^c ) + Λ^c_m ∀m ∈ M (4.14)

4.4 ¯ 6 7 u ° 8 9 & (Objective Function and Contraints) 55

7. 1 + , ? h > q y

F $ % & ^ E À ^F ? 1 + , h > q ^O > e ¥ À ] M

b ? ] y

i∈I

qimk = fc^e_m(t^e_mk− t^e_m,k+1) + λ^e_mk ∀m ∈ M, ∀k ∈ K (4.15)

hu∈H

qhu,m = fc^e_m(T_m,out^e − t^e_m1) +

hu∈H

λ^e_hu,m ∀m ∈ M (4.16)

8. k - , ? h > q y

F $ % & ^ E À ^F ? k - , h > q ^O > e ¥ À ] M

b ? ] y

j∈J

qmjk = f c^c_m(t^c_mk− t^c_m,k+1) + λ^c_mk ∀m ∈ M, ∀k ∈ K(4.17)

cu∈C

qm,cu = fc^c_m(t^c_m,K+1− T_m,out^c ) +

cu∈C

λ^c_m,cu ∀m ∈ M (4.18)

9. ) * R ^ ? h > q y

) * R ^ ? ¿ µ ¯ ° | $ # R ? , ? ¿ >

E ¯ ° | $ ´ > R u ^{^} $ ® M ^´ ^> ? y

Λ^e_m =

k∈K

λ^e_mk+

hu∈H

λ^e_hu,m = fmL^e_m ∀m ∈ M (4.19) Λ^c_m =

k∈K

λ^c_mk+

cu∈C

λ^c_m,cu = f_mL^c_m ∀m ∈ M (4.20)

10. ) * R ^ ? P R u y

s v w ( J a s % ) * R ^ F ^s ^C ? P R u y

f c^e_m = fm ΔH_m^e − L^e_m

T_m,out^e − T_m,in^e ∀m ∈ M (4.21)

f c^c_m = fm ΔH_m^c − L^c_m

T_m,in^c − T_m,out^c ∀m ∈ M (4.22)

11. ? * , y

1 + , @

] ) * R ^ F 1 + , ? L ] | $ ⁵ 8 ] S E s % ) * R

^ F s 1 + , ^ Y + ~ t % 8 E ³ C Y y disjunction * s % $ 4 (Ó 4.2 )@

⎧⎪

⎪⎪

⎪⎨

⎪⎪

⎩

y_mk^e,1 t^e_mk = T_m,out^e

λ^e_mk ≥ 0 m ∈ M, k ∈ K

⎫⎪

⎪⎪

⎪⎬

⎪⎪

⎭

∨

⎧⎪

⎪⎪

⎪⎨

⎪⎪

⎩

¬y_mk^e,1 t^e_mk≤ T_m,out^e − δ

λ^e_mk = 0 m ∈ M, k ∈ K

⎫⎪

⎪⎪

⎪⎬

⎪⎪

⎭

disjunction* O 4 j ? v w ( ~ [11]@

t^e_mk = t^e,1_mk+ t^e,2_mk ∀m ∈ M, ∀k ∈ K (4.23) t^e,1_mk = (T_m,out^e )y_mk^e,1 ∀m ∈ M, ∀k ∈ K (4.24) t^e,2_mk ≤ (T_m,out^e − δ)(1 − y_mk^e,1) ∀m ∈ M, ∀k ∈ K (4.25) λ^e_mk ≤ (Λ^e_m)y^e,1_mk ∀m ∈ M, ∀k ∈ K (4.26)

) 4.2 1 + , ] disjunction % x X

e ≧

mk^e,1

mk^e,1 k

Tm,out^e

4.4 ¯ 6 7 u ° 8 9 & (Objective Function and Contraints) 57

k - , @

] ) * R ^ F k - , ? L ] | $ k - ] S E s % ) * R

^ F s k - , ^ Y + ~ t % 8 E ³ C Y y disjunction * s % $ 4 (Ó 4.3 )@

⎧⎪

⎪⎪

⎪⎨

⎪⎪

⎩

y_mk^c,1 t^c_m,k+1 = T_m,out^c

λ^c_mk ≥ 0 m ∈ M, k ∈ K

⎫⎪

⎪⎪

⎪⎬

⎪⎪

⎭

∨

⎧⎪

⎪⎪

⎪⎨

⎪⎪

⎩

¬y_mk^c,1

t^c_m,k+1 ≥ T_m,out^c + δ λ^c_mk = 0 m ∈ M, k ∈ K

⎫⎪

⎪⎪

⎪⎬

⎪⎪

⎭

disjunction* O 4 j ? v w ( ~ [11]@

t^c_m,k+1 = t^c,1_m,k+1+ t^c,2_m,k+1 ∀m ∈ M, ∀k ∈ K (4.27) t^c,1_m,k+1 = (T_m,out^c )y_mk^c,1 ∀m ∈ M, ∀k ∈ K (4.28) t^c,2_m,k+1 ≥ (T_m,out^c + δ)(1 − y_mk^c,1) ∀m ∈ M, ∀k ∈ K (4.29) t^c,2_m,k+1 ≤ T_m,in^c (1 − y^c,1_mk) ∀m ∈ M, ∀k ∈ K (4.30) λ^c_mk ≤ (Λ^c_m)y^c,1_mk ∀m ∈ M, ∀k ∈ K (4.31)

) 4.3 k - , ] disjunction % x X

c ≧

mk^c,1 mk^c,1

k+1

Tm,out^c

12. , Ñ ] } ? * , y

] ) * R ^ F , ? > ¶ Æ S E ^¯ ^° O > s

v w ( E ± ² # N F , Ñ ] } @ 8 8 $ u 8 ] } y

1 + , @

t^e_m,k+1 ≤ T_m,out^e − rhimkF Ci

f c^e_m

T_m,out^e + ΔT_min− th_imk

+ U(1 − y_mk³ ) ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (4.32)

λ^e_mk ≤ (Λ^e_m)y^e,2_mk ∀m ∈ M, ∀k ∈ K (4.33)

k - , @

t^c_mk ≤ rcmjkF Cj

f c^c_m

T_m,out^c − ΔT_min− tc_mjk

− T_m,out^c

+ U(1 − y_mk⁴ ) ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (4.34) λ^c_mk ≤ (Λ^c_m)y^c,2_mk ∀m ∈ M, ∀k ∈ K (4.35)

13. µ ³ ? h > q y

# ? 5 ¯ ° | $ D L ^U } Q E ³ # 5 ¯ ° |

$ L ^U } Q y

W_m^p = f_mΔH_m^p ∀m ∈ M (4.36)

W_m^t = f_mΔH_m^t ∀m ∈ M (4.37)

4.4 ¯ 6 7 u ° 8 9 & (Objective Function and Contraints) 59

14. @ ¥ $ % & L ] y

, $ L ] J H = ? Q E E À Q " R ^ k \ ) * R ^ ? L

] # J $ % & L ] y

ti1 = Ti,in ∀i ∈ I (4.38)

tj,K+1 = T_j,in ∀j ∈ J (4.39)

t^c_m1 = T_m,in^c ∀m ∈ M (4.40)

t^e_m,K+1 = T_m,in^e ∀m ∈ M (4.41)

15. ] ? ) > , y

_ v w ( 6 ] F À ] M b ? ) > , E G ^F ? X ~ ]

¯ ° ^a ® 0 ® y

tik ≥ ti,k+1 ∀i ∈ I, ∀k ∈ K (4.42)

ti,K+1 ≥ Ti,out ∀i ∈ I (4.43)

tjk ≥ t_j,k+1 ∀j ∈ J , ∀k ∈ K (4.44)

Tj,out ≥ t_j1 ∀j ∈ J (4.45)

t^e_mk ≥ t^e_m,k+1 ∀m ∈ M, ∀k ∈ K (4.46)

T_m,out^e ≥ t^e_m1 ∀m ∈ M (4.47)

t^c_mk ≥ t^c_m,k+1 ∀m ∈ M, ∀k ∈ K (4.48)

t^c_m,K+1 ≥ T_m,out^c ∀m ∈ M (4.49)

16. v w ( y

O v w ( µ 0-1 % > e ¥ , ? S F B " E ] 0-1 %

| $ 1 S E ~ s D t ~ X , S F E ³ E ] 0-1 % |

$ 0 S E s % t ~ X , @ S F E D ^ Q^U ^J ^> ^?

K v Q E Q^L ^J ^> ^? ⁴ ^v ^Q ^y

Q^Lzijk ≤ qijk ≤ Q^Uzijk ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (4.50) Q^Lzimk ≤ qimk ≤ Q^Uzimk ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (4.51) Q^Lzmjk ≤ qmjk ≤ Q^Uzmjk ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (4.52) Q^Lzi,cu ≤ qi,cu ≤ Q^Uzi,cu ∀i ∈ I, ∀cu ∈ C (4.53) Q^Lzhu,j ≤ q_hu,j ≤ Q^Uzhu,j ∀hu ∈ H, ∀j ∈ J (4.54) Q^Lzm,cu ≤ q_m,cu ≤ Q^Uzm,cu ∀m ∈ M, ∀cu ∈ C (4.55) Q^Lzhu,m ≤ qhu,m ≤ Q^Uzhu,m ∀hu ∈ H, ∀m ∈ M (4.56)

4.4 ¯ 6 7 u ° 8 9 & (Objective Function and Contraints) 61

17. , < ] } v w y

s v w ( O k ± ² # Y * h ? , ? # ^ i J ' Q y ] 0-1%

| $ 1S E ~ s D t ~ X , S F E ³ E ] 0-1 %

| $ 0 S E s % t ~ X , @ S F E s S ? # ^ i * J

Ã $ Ï ! E D ^ Γ ^J ^] ^} ^? ^K ^v ^y

dtijk,in ≤ tik− tcijk+ Γ (1 − zijk) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (4.57) dtijk,out ≤ thijk− tj,k+1+ Γ (1 − zijk) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (4.58) dtimk,in ≤ tik− t^e_mk+ Γ (1 − zimk) ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (4.59) dtimk,out ≤ th_imk− t^e_m,k+1+ Γ (1 − z_imk) ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (4.60) dtmjk,in ≤ t^c_m,k+1− t_j,k+1+ Γ (1 − z_mjk) ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (4.61) dtmjk,out ≤ t^c_mk− tc_mjk+ Γ (1 − z_mjk) ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (4.62) dti,cu,in ≤ Ti,out− Tcu,in+ Γ (1 − zi,cu) ∀i ∈ I, ∀cu ∈ C (4.63) dti,cu,out ≤ ti,K+1− Tcu,out+ Γ (1 − zi,cu) ∀i ∈ I, ∀cu ∈ C (4.64) dthu,j,in ≤ Thu,in− Tj,out+ Γ (1 − zhu,j) ∀hu ∈ H, ∀j ∈ J (4.65) dthu,j,out ≤ T_hu,out− t_j1+ Γ (1 − z_hu,j) ∀hu ∈ H, ∀j ∈ J (4.66) dtm,cu,in ≤ T_m,out^c − T_cu,in+ Γ (1 − z_m,cu) ∀m ∈ M, ∀cu ∈ C (4.67) dtm,cu,out ≤ t^c_m,K+1− Tcu,out+ Γ (1 − zm,cu) ∀m ∈ M, ∀cu ∈ C (4.68) dthu,m,in ≤ Thu,in− T_m,out^e + Γ (1 − zhu,m) ∀hu ∈ H, ∀m ∈ M (4.69) dthu,m,out ≤ Thu,out− t^e_m1+ Γ (1 − zhu,m) ∀hu ∈ H, ∀m ∈ M (4.70)

18. ] } 4 v Q y

] } ¯ ° $ | $ ΔTmin^{E s} ^v ^w ⁽ ^# ^O ^> ^% ^& ^?

, ½ y

dtijk,in, dtijk,out ≥ ΔTmin ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (4.71) dtimk,in, dtimk,out ≥ ΔT_min ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (4.72) dtmjk,in, dtmjk,out ≥ ΔT_min ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (4.73) dti,cu,in, dti,cu,out ≥ ΔT_min ∀i ∈ I, ∀cu ∈ C (4.74) dthu,j,in, dthu,j,out ≥ ΔTmin ∀hu ∈ H, ∀j ∈ J (4.75) dtm,cu,in, dtm,cu,out ≥ ΔTmin ∀m ∈ M, ∀cu ∈ C (4.76) dthu,m,in, dthu,m,out ≥ ΔTmin ∀hu ∈ H, ∀m ∈ M (4.77)

19. ) * R ^ ? v w ( y

) * R ^ # 4 # ? > ¶ Æ ^s (Sensible Heat)k \ (Latent Heat)E

5 " R K # U + > * J ) * R ^ ? E D ] B 1 +

, \ * ] ? ] } ¯ ° v $ u 8 ] } E # k ] R F 1 + ,

U + u S E D ] } ^V | $ u 8 ] } E $ Ó 4.4 y

fimkL^e_m ≤ rhimkF Ci

tik− (T_m,out^e + ΔTmin)

∀i ∈ I, ∀m ∈ M, ∀k ∈ K (4.78)

4.4 ¯ 6 7 u ° 8 9 & (Objective Function and Contraints) 63

) 4.4 v w ( % x X (a) ` u E (b)u

tik

Tm,out Tm,in

ΔT

e e

(a) (b)

20. % ? ! v y

Ð % ) > ? ! E $ * k ( ' ( ) # 4 S / y

Ti,in ≥ t_ik ≥ T_i,out ∀i ∈ I, ∀k ∈ K (4.79)

Tj,out ≥ tjk ≥ Tj,in ∀j ∈ J , ∀k ∈ K (4.80)

qijk ≤ F Ci(Ti,in− Ti,out) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (4.81) qijk ≤ F Cj(Tj,out− Tj,in) ∀i ∈ I, ∀j ∈ J , ∀k ∈ K (4.82) qimk ≤ F C_i(T_i,in− T_i,out) ∀i ∈ I, ∀m ∈ M, ∀k ∈ K (4.83) qmjk ≤ F C_j(T_j,out− T_j,in) ∀m ∈ M, ∀j ∈ J , ∀k ∈ K (4.84) qi,cu ≤ F Ci(Ti,in− Ti,out) ∀i ∈ I, ∀cu ∈ C (4.85) qhu,j ≤ F Cj(Tj,out− Tj,in) ∀hu ∈ H, ∀j ∈ J (4.86)

4.4.2

: y ; <

(Objective Function)

p 9 ( 0 1 2 O > 5 E D 0 ? J u v ? $ "

J * O ^W 5 E D s % ( $ 4 @

J2 =

m∈M

W_m^t (4.87)

4.4.3

- / 0 ^$ 1 2 3 5 4 =

$ 4.4 # c q ? v w ( B 0 1 2 ) o ( ) * + ,

f g E $ ( # % y D ^ x₄^J ^e ^± ^% ^E Ω₄ ^J ⁹ ⁽ ^{^} ^# ^Y ^v ^w ⁽ .

) o ? * d d y

xmax4∈Ω4

x₄ ≡

⎧⎪

⎪⎪

⎪⎨

⎪⎪

⎩

t^e_mk, t^c_mk, t^e,n_mk, t^c,n_mk, λ^e_mk, λ^c_mk, λ^e_hu,m, λ^c_m,cu, Λ^e_m, Λ^c_m, f c^e_m, f c^c_m, y_mk^e,n, y_mk^c,n

∀i ∈ I, j ∈ J , m ∈ M, k ∈ K, cu ∈ C, hu ∈ H

⎫⎪

⎪⎪

⎪⎬

⎪⎪

⎭

Ω₄ = { x₄ | Equations (4.1)-(4.87)}

4.5

^& ^?

4.5.1

^, ^- 3 5 [ ^. ^- 3 5 \ ^/ ⁰ ¹ ²

4 # g ? ? ^ B K O ? ? ^ t A E 5 s O N O > = 9 (

5 d E R B K O j K ? % E B C y M Ø $ 5 d " b J

< > : E > : · ~ N O Y + , , ! " ) o E D

, % & $ Ó 3.4 y > : N N O 1 ) O U \ ? > = ) '

, ! " 9 ( 5 d E ^F 0 (K) ¥ J 4E R ^ > : # j K ?

< ^F ? % & U ¥ R ⁽ O K > : N y

1. 1 + , L ] J 186.5 ^◦CE k - , L ] J 80 ^◦C

D , ! " % E $ Ó 4.5 # % E % & ^ ¶ Æ a 9 , 5

2 1 ¢ ~ , 5 1 1 + , k \ 3 k - , y F 1 + , ? Ñ b E

) * R ^ ] " R 3(H3) · > 354.3 kW F k - , ? Ñ b E

) * R ^ ^} " k R 3(C3) 62.8 kW5 " k R 4(C4) 118.9 kW

k \ k ¦ Ì 128.9 kWy , Ó 3.5 5 Ó 4.5* k E } ~ % & B F R

= 9 ( 4 5 j ? % E @ A E " R Ð Y + , ? ¿

> t A ? E # k < / 9 ( F k - , L ] J 80 ^◦C4 # h j

K ? u ^W 5 t | ? y

2. 1 + , L ] J 186.5 ^◦CE k - , L ] J 50 ^◦C

] k - , L ] J 50 S E D , % & $ Ó 4.6 # % E % &

^ ¶ Æ a 9 , 5 2 1 ¢ ~ , 5 1 1 + , k \ 2 k

- , y F 1 + , ? Ñ b E ) * R ^ ] " R 3(H3)· > 220.4

kW F k - , ? Ñ b E ) * R ^ ^} " k R 4(C4) 47.8 kW

k \ k ¦ Ì 145.4 kWy 5 Y + , * ¸ ~ h > 35.9 kWy

Í 4.3 > a < / \ * m Z 4 R = 9 ( B > = 9 ( ? . 2 % E y *

k + F k - , L ] J 80^◦CS E % E t A ? E F k - ,

L ] J 50^◦CS E > = 9 ( j K ? % E ¦ B R = 9 ( > j Â y B C

X B X ? } * k + E F > = 9 ( 4 E ) * R ^ h Á ^} > "

k R ? E R = 9 ( 8 K & ? v w E t ) * R ^ B "

k R ? , ~ @ S F y _ 6 a > = 9 ( h O | n J 4 ? 3 n y

4.5 ^' ^{^} 67

(Evaporator) 186.5 °C 81.0 °C

80 °C

在文檔中有機朗肯循環在工業程序廢熱回收之應用 (頁 47-83)