Global Optimization of Thermal Power System Based on Structure Theory of Thermoeconomics

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1 27 26 Vol.27 No.26 Sep Proceedngs of the CSEE 2007 Chn.Soc.for Elec.Eng (2007) TK23 A ( ) Global Optmzaton of Thermal Power System Based on Structure Theory of Thermoeconomcs XIONG Je, HANG Chao, HAO Ha-bo, HENG Chu-guang (State Key Laboratory of Coal Combuston, Huazhong Unversty of Scence and Technology, Wuhan , Hube Provnce, Chna) ABSTRACT: Based on the structure theory of thermoeconomcs, the thermoeconomc cost model and the global optmzaton model were establshed to globally optmze a 300MW pulverzed coal fred power plant. The Sequental Quadratc Programmng (SQP) mathematcal arthmetc was used to solve the optmzaton models of complex energy systems, n whch the global optmal solutons was obtaned by balancng the thermal effcency of system and the nvestment cost of each devce. The results show that the thermoeconomc optmzaton wll decrease 4 percent of the total nvestment cost of the energy system. And, the effect of the varaton of the external envronment parameters and the ndependent varables of system on the optmal solutons of the system was evaluated by usng the senstvty analyss methodology. The results ndcate that the external economc parameters nfluence the objectve functon and the optmal solutons more effectvely than the external thermal parameters. And then, the results of the senstvty analyss of the ndependent varables near the optmal solutons show that the optmal solutons obtaned nsure the energy system exhbts the globally mnmum total annual cost. KEY WORDS: thermoeconomcs; structure theory; thermal power system; exergetc cost; sequental quadratc programmng; global optmzaton 300MW (SQP) 4 (2006CB705807) Project Supported by Specal Fund of the Natonal Prorty Basc Research of Chna (2006CB705807). 0 () 2 [] El-Sayed Evans [2] ( [3] [4] [5] ) El-Sayed Evans

2 66 27 Uche [6] Lozano [7] [8-2] [3] [4-5] [-3,5] 300MW (SQP) N /537/537 [2] [5] (F) (P) [6] [2] (B ) x l (B j ) [6] B =g (B,,B j, x l ) ([2,5-6] ) n P = ω + kjpj j= () kj = g / Bj = Bj / Pj P ω k j ( ) j B j j 2 () ( L ) (Levelzed cost$/s) [7] ϕ f L = = ξ (2) 3600H ϕh ξ(/s)f [7-8] L n F n j L c = p cf cf k j j j k P + P = + (3) j= j= c p c F ( B S W 3 ) ($/kj)k = L /P ($/kj) [,6-7,5,7] BOI SH RH FWH Turbne HP()IP() LP()Pump CWP()FWP( ) CP()CND GEN kb ks [2] kw c F k CND =ξ( CND + P CWP )/ P CND k =ξ /P ( )()P MPaT Kη B kwf RH ( 0.2)Q kwt TTD P t P s MPa a=6 a=4 W kwη T η Tr=0.95η Tr=0.85η P B kwt 0 KV w m/sη

3 26 67 Tab. Thermoeconomc cost equatons and the related nvestment equatons of the major devces n the system B-SH 0 c P,0 =kb 0 c F +ks 0 c FS,0 +k 0 RH 3 c P,3 =kb 3 c F +ks 3 c FS,3 +k 3 FWH -4,7-9 c P, =kb c FB, +ks c FS, +k Turbne,2,4-20 c P, =kb c FB, +ks c FS, +k BOI =740exp((0P 28)/50)[+5exp((T 866) /0.42)] [+(( )/(0.45 η)) 7 ]B 0.8 B-SH =( f RH ) BOI, RH =f RH BOI H = Q(/(T TTD +a)) 0. (0 P t ) 0.08 (0 P s ) T j = 3000[+5exp((T 866)/0.42)][+(( η T r )/ ( η T )) 3 ]W 0.7 P Pump 6,23 c P, =kb c FB, +ks c FS, +k = 378[+(( 0.808)/( η P )) 3 ]B 0.7 CND 22 c P,22 =kb 22 c FB,22 +kw 22 c FW,22 +k 22 CND =(/T 0 ε){27[0.247+(/(3.24 V 0.8 w ))] In(/( ε))+38}(/( η))s GEN 24 c P,24 =kb 24 c P,26 +k 24 GEN =60W 0.95 T 0 (S n S out )/(h n h out )ε (T wo T w )/(T n T w )T wo T w T n S kww kw 2 () x () 2 x=(η BOI, η HP, η, η IP, η, η LP, η LP2, η, η, η LP5, η FWP, η BFPT, η CP, T TTDFWH-FWH7,T SH ) BFPT η BOI η η=(h n h out )/(h n h out )h n h out h out T SH () 2 2 () () x(y ) F Γ($/s) 2 Tab. 2 The value ranges of the major varables / / 2.8 T TTD 2.8 0T SH <η < 0<η BOI< Fg. mn x F F e (x, y) r m P s Schematc dagram of global optmzaton Γ = Γ + Γ = cf F + ξ F e m r (4) = r= x = (x, x 2,, x n ) hj ( x, y) = 0, j =,..., J (5) gk ( x, y) 0, k =,..., K y=(y, y 2,,y l )() 2 F = F( x, y), =,..., e (6) r = r( x, y), r =,..., m F (x, y) 2 (F 0 F 3 )F (x, y) r (x, y) ( )(x, y) h j (x, y)( ) [5] g k (x, y) 2 ( ) x x* y 3 SQP Rodrguez-Toral [9] SQP

68 27 SQP SQP f(x) λ µ L(x, λ, µ) Spellucc [20] SQP SQP 4 4. 3 [7,7-8] 4 5 c P 2 4 ( 4 ) 23 /% 3 3 5 7 2 4 6 8 0 2 4 6 8 20 22 24 2 Fg.

4 68 27 SQP SQP f(x) λ µ L(x, λ, µ) Spellucc [20] SQP SQP [7,7-8] 4 5 c P 2 4 ( 4 ) 23 /% Fg. 2 Varaton of the unt thermoeconomcs cost of the product n each component due to the optmzaton 70 /% Fg. 3 Varaton of the nvestment cost of each component due to the optmzaton 3 Tab. 3 The values of the external envronment parameters n the system optmzaton W net =300MW 20 c F =2 0 6 $/kj ϕ =.06 H=8000h f=8.2% Tab. 4 4 Results of the global optmzaton x 0 x * η BOI η HP η η IP η η LP η LP η η η LP η FWP η BFPT η CP T TTDFWH / T TTDFWH2 / T TTDFWH3 / T TTDFWH4 / T TTDFWH5 / T TTDFWH6 / T TTDFWH7 / T SH / /($/s) /(0 8 $) Tab. 5 Results of thermoeconomcs cost analyss under the optmal condtons /$ /$ c P /(0 6 $/kj) c P (0 6 $/kj) FWH FWH FWH FWH DTR FWP FWH FWH FWH B-SH HP RH IP LP LP LP BFPT CND CP GEN

5 ( ) Γ Γ 3 /($/s) /($/s) /% (a) /% (b) /$ /$ /($/s) /h (d) 4 Fg. 4 Senstvty analyss of the external envronment parameters on the annual cost and the total nvestment cost Γ /H ((2))Γ 5 4 BOIIP /% /% LP IP /% (a) IP LP /% (b) /$ /($/s) /MW (c) /$ /% LP IP /MW (c)

6 70 27 /% LP IP /h (d) 5 Fg. 5 Senstvty analyss of the external envronment parameters on the optmzed varables LP 3 4 [5] 2 ( ) 6 /($/s) /($/s) η BO η HP η LP5 η FWP η LP /% (a)±0% FWH5 FWH2 FWH /% (b)±50% /($/s) T= / (c)±5 6 Fg. 6 Senstvty analyss of the ndependent varables on the objectve functon 5 300MW ( ) () SQP 4% [] Frangopoulos C AThermoeconomc functonal analyssa method for optmal desgn or mprovement of complex thermal systems

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