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[其他行业算法] Help!Help!!一个关于求解安托尼方程参数的程序

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发表于 2016-3-5 13:02:14 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
小白是化学系研究生,现跟着老板做计算,老板让学fortran,然后就甩了这么个程序给我。小白折腾了很久这个程序也只看懂了皮毛,有好多问题希望各路大神能帮忙解答,小白在此先行谢过!!
这个程序是用fortran77编的,语法比较古老,还望海涵!
Q1:求出AntA,AntB,AntC的算法是什么?
Q2:那个求逆的算法是什么?小白感觉和一般的高斯消元不一样
Q3:下面那个计算最优参数的那个子程序,我就觉得跟天书一样,taila
[Fortran] 纯文本查看 复制代码
C      This programme is used to correlate the Antoine constants       C
C       for vapor pressure of pure components                           C
C                                                                       C
C       The Antoine equation of vapor pressure is                       C
C                                                                       C
C       lg(p)=AntA-AntB/(t+AntC)                                        C
C       where                                                           C
C       p in kPa and t in C  
PROGRAM LIU53
        CHARACTER DATFILE*12,RESFILE*12,SYSNAME*30,SYSFORM*10
        DIMENSION A(7,7),B(7),X(7),PC(60),DP(60)
        COMMON /TP/ TE(60),PE(60)
        WRITE(*,'(1X////1X)')
        WRITE(*,*) 'Input the file name of data file'
        READ(*,'(A12)') DATFILE
        OPEN(4,FILE=DatFile,STATUS='OLD')
        READ(4,*) SYSNAME,SYSFORM
        READ(4,*) ND,IPUNIT,ITUNIT
C
C       ITUNIT  indicating the unit of temperature
C               =0      for K           =1      for C
C
C       IPUNIT  indicating the unit of pressure
C               =0      for  kPa
C               =1      for  mmHg
C               =2      for  atm
C               =3      for  bar
C               =4      for  MPa
C
        READ(4,*) (TE(I),PE(I),I=1,ND)
        CLOSE(4)
        TMIN=TE(1)
        TMAX=TE(ND)
        DO 10 I=1,ND
        IF (ITUNIT.EQ.0) TE(I)=TE(I)-273.15
        IF (IPUNIT.EQ.1) PE(I)=PE(I)/760.*101.325
        IF (IPUNIT.EQ.2) PE(I)=PE(I)*101.325
        IF (IPUNIT.EQ.3) PE(I)=PE(I)*100.0
        IF (IPUNIT.EQ.4) PE(I)=PE(I)*1000.0
10      CONTINUE
        DO 180 I=1,7
        DO 190 J=1,7
        A(I,J)=0.0
190     CONTINUE
        B(I)=0.0
180     CONTINUE
        DO 200 I=1,ND
        PLG=ALOG(PE(I))/2.302585
        T=TE(I)
        B(1)=B(1)+T*T*PLG
        B(2)=B(2)+T*PLG*PLG
        B(3)=B(3)+T*PLG
        A(1,1)=A(1,1)+T*T
        A(1,3)=A(1,3)+T
        A(2,2)=A(2,2)+PLG*PLG
        A(2,3)=A(2,3)+PLG
200     CONTINUE
        A(1,2)=B(3)
        A(2,1)=A(1,2)
        A(3,1)=A(1,3)
        A(3,2)=A(2,3)
        A(3,3)=FLOAT(ND)
        N=3
        CALL INVB(N,A)
        DO 210 I=1,N
        X(I)=0.0
        DO 220 J=1,N
        X(I)=X(I)+A(I,J)*B(J)
220     CONTINUE
210     CONTINUE
        ANTA=X(1)
        ANTC=-X(2)
        ANTB=ANTA*ANTC-X(3)
        N=3
        X(1)=ANTA
        X(2)=ANTB
        X(3)=ANTC
        M=ND
        CALL SM(N,M,X)
        ANTA=X(1)
        ANTB=X(2)
        ANTC=X(3)
        RDP=0.0
        DO 230 I=1,ND
        PC(I)=EXP((ANTA-ANTB/(TE(I)+ANTC))*2.302585)
        DP(I)=PE(I)-PC(I)
        RDP=RDP+ABS(DP(I))/PE(I)
230     CONTINUE
        RDP=RDP*100.0/FLOAT(ND)
        WRITE(*,'(1X////1X)')
        WRITE(*,*) 'Input the file name of result file'
        READ(*,'(A12)') RESFILE
        OPEN(4,FILE=ResFile,STATUS='NEW')
        WRITE(4,240)
240     FORMAT(5X,'Correlation of vapor pressure for component')
        WRITE(4,250) SYSNAME,SYSFORM
250     FORMAT(/5X,A30,3X,A10)
        WRITE(4,260) ANTA,ANTB,ANTC,TMIN,TMAX
260     FORMAT(/5X,'ANTA=',F7.5,2X,'ANTB=',F9.3,2X,'ANTC=',F7.3,
     1          2X,'TMIN=',F6.2,2X,'TMAX=',F6.2)
        WRITE(4,270)
270     FORMAT(/7X,'T/K',5X,'Pe/kPa',3X,'Pc/kPa',2X,'DP/kPa')
        WRITE(4,280) (I,TE(I),PE(I),PC(I),DP(I),I=1,ND)
280     FORMAT(2X,I2,2X,F6.2,2X,F7.3,2X,F7.3,2X,F6.3)
        WRITE(4,290) RDP
290     FORMAT(/5X,'RDP=',F6.2,'%')
        CLOSE(4)
        STOP
        END

        SUBROUTINE VFRE(X,N,M,Y)
        DIMENSION X(5),Y(60)
        COMMON /TP/ TE(60),PE(60)
        ANTA=X(1)
        ANTB=X(2)
        ANTC=X(3)
        DO 10 I=1,M
        PC=EXP((ANTA-ANTB/(TE(I)+ANTC))*2.302585)
        Y(I)=1.0-PC/PE(I)
10      CONTINUE
        RETURN
        END


C***********************************************************************C
C                                                                       C
C       SUBROUTINE INVB(N,A)                                            C
C                                                                       C
C       PURPOSE                                                         C
C                                                                       C
C       calculate the inverse matrix of matrix A                        C
C                                                                       C
C                       A ( N , N )                                     C
C                                                                       C
C       The result is also put in A(N,N)                                C
C                                                                       C
C                                 C
C***********************************************************************C
C
        SUBROUTINE INVB(N,A)
C
        DIMENSION A(7,7)
        IF (N-2) 11,11,22
  11    AI=A(1,1)*A(2,2)-A(1,2)*A(2,1)
        AI=1.0/AI
        AJ=A(1,1)
        A(1,1)=A(2,2)*AI
        A(2,2)=AI*AJ
        A(2,1)=-A(2,1)*AI
        A(1,2)=-A(1,2)*AI
        RETURN
  22    DO 20 K=1,N
        P=1.0/A(K,K)
        A(K,K)=P
        DO 30 I=1,N
        IF (I.NE.K) A(I,K)=-P*A(I,K)
  30    CONTINUE
        DO 40 I=1,N
        IF (I.EQ.K) GOTO 60
        DO 50 J=1,N
        IF (J.NE.K) A(I,J)=A(I,J)+A(I,K)*A(K,J)
  50    CONTINUE
  60    CONTINUE
  40    CONTINUE
        DO 70 J=1,N
        IF (J.NE.K) A(K,J)=P*A(K,J)
  70    CONTINUE
  20    CONTINUE
        RETURN
        END

C***********************************************************************C
C                                                                       C
C       SUBROUTINE SM(N,M,X)                                            C
C                                                                       C
C       PURPOSE                                                         C
C                                                                       C
C       calculating the optimum parameter values                        C
C                                                C
C                                                                       C
C        N : the number of the paramrters required estimation           C
C        M : the number of the equation                                 C
C        X(N) : the parameters required estimation                      C
C               put the start value at the first                        C
C               put the optimum values in the last                      C
C       SIGAMY : external function procedure for calculating the        C
C                 objective function value                              C
C                                                                       C
C***********************************************************************C
C
        SUBROUTINE SM(N,M,X)
C
        INTEGER T,A2,B2,C2,N,M,K,TT
        DIMENSION X(5),R1(5),R2(5),R3(5),Q(6),P(6,5)
        V=.01
        MAXP=220
        TT=0
        AN=N
 10     DO 20 T=1,N+1
        DO 30 K=1,N
        IF ((T-1).NE.K) THEN
        R1(K)=X(K)
        P(T,K)=X(K)
        ELSE IF (ABS(X(K)).LT.1.E-6) THEN
        R1(K)=1.E-6
        P(T,K)=1.E-6
        ELSE
        R1(K)=(1.0+V)*X(K)
        P(T,K)=(1.0+V)*X(K)
        ENDIF
 30     CONTINUE
        Q(T)=SIGAMY(N,M,R1)
 20     CONTINUE
 40     A1=0.
        B1=0.
        C1=1.E18
        DO 50 T=1,N+1
        IF (A1.GT.Q(T)) GO TO 60
        A1=Q(T)
        A2=T
  60    IF (C1.LT.Q(T)) GO TO 50
        C1=Q(T)
        C2=T
 50     CONTINUE
        DO 70 T=1,N+1
        IF (T.NE.A2.AND.B1.LT.Q(T)) THEN
        B1=Q(T)
        B2=T
        ENDIF
 70     CONTINUE
        DO 80 K=1,N
        X(K)=P(C2,K)
 80     R1(K)=0.
        TT=TT+1
        SMN=0.
        DO 85 K=1,N+1
 85     SMN=SMN+Q(K)/(AN+1.)
        SD=0.
        ANTA=0.
        DO 87 K=1,N+1
        SD=SD+(Q(K)/SMN-1.)**2
 87     ANTA=ANTA+(Q(K)-SMN)**2
        ANTA=SQRT(ANTA/(AN+1.))
        SD=SQRT(SD/(AN+1.0))
C        WRITE(*,88)ANTA,SD,TT
        IF (SD.LE.1.E-7.OR.ANTA.LE.1.E-7) GO TO 170
        IF (TT.GE.MAXP.OR.V.LT.0.0001) GO TO 170
 88     FORMAT(1X,5HANTA=,E10.2,2X,3HSD=,E10.2,2X,3HTT=,I3)
        IF (C1.LE.1.E-7.OR.ABS(1.-A1/C1).LE.1.E-7) GO TO 170
        DO 100 T=1,N+1
        DO 90 K=1,N
        IF (T.NE.A2) R1(K)=R1(K)+P(T,K)/AN
 90     CONTINUE
 100    CONTINUE
        DO 110 K=1,N
 110    R2(K)=2.*R1(K)-P(A2,K)
        S=SIGAMY(N,M,R2)
        IF (S.GE.A1) GO TO 150
        DO 120 K=1,N
        R3(K)=3.*R1(K)-2.*P(A2,K)
 120    P(A2,K)=R2(K)
        Q(A2)=S
        U=SIGAMY(N,M,R3)
        IF (U.GE.S) GO TO 40
 130    DO 140 K=1,N
 140    P(A2,K)=R3(K)
        Q(A2)=U
        GO TO 40
 150    DO 160 K=1,N
 160    R3(K)=R1(K)/2.+P(A2,K)/2.
        U=SIGAMY(N,M,R3)
        IF (U.LT.B1) GO TO 130
        V=V/2.0
        GOTO 10
 170    CONTINUE
        RETURN
        END

        FUNCTION SIGAMY(N,M,X)
        DIMENSION X(5),Y(60)
        CALL VFRE(X,N,M,Y)
        A=0.0
        DO 10 I=1,M
 10     A=A+Y(I)*Y(I)
        A=SQRT(A/FLOAT(M))
C        WRITE(*,5) A,(X(J),J=1,N)
  5     FORMAT(2X,'S9=',E12.6,2X,'X(1)=',E12.6,2X,'X(2)=',E12.6,2X,
     *  'X(3)=',E12.6)
        SIGAMY=A
        RETURN
        END


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