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云少爷

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[交流] 参数辨识代码一直在运行,不出结果,

这个是程序,

function KineticsEst1_Int    %用积分法进行SCR氨泄漏和氨覆盖度反应速率分析进行参数拟合
clear all;
clc
k0=[27.8 0.514 15.2 0.07 8.53e-13];        %参数初值
lb=[0 0 0 0 0];                  %参数下限
ub=[+inf +inf +inf +inf +inf];         %参数上限
x0=[0 0 298.15];             %氨泄漏,氨覆盖度,下游温度初始值
KineticsData;
yexp = ExpData(:,2:3);                  % yexp: 实验数据(氨泄漏x1  下游温度x2)


% 使用函数fmincon()进行参数估计
[k,fval,flag] = fmincon(@ObjFunc4Fmincon,k0,[],[],[],[],lb,ub,[],[],x0,yexp);
fprintf('\n使用函数fmincon()估计得到的参数值为:\n')
fprintf('\tk1 = %.4f\n',k(1))
fprintf('\tk2 = %.4f\n',k(2))
fprintf('\tk3 = %.4f\n',k(3))
fprintf('\tk4 = %.4f\n',k(4))
fprintf('\tk5 = %.4f\n',k(5))
fprintf('  The sum of the squares is: %.1e\n\n',fval)
k_fmincon = k;

% 使用函数lsqnonlin()进行参数估计
[k,resnorm,residual,exitflag,output,lambda,jacobian] = ...
    lsqnonlin(@ObjFunc4LNL,k0,lb,ub,[],x0,yexp);      
ci = nlparci(k,residual,jacobian);
fprintf('\n\n使用函数lsqnonlin()估计得到的参数值为:\n')
Output

% 以函数fmincon()估计得到的结果为初值,使用函数lsqnonlin()进行参数估计
k0 = k_fmincon;
[k,resnorm,residual,exitflag,output,lambda,jacobian] = ...
    lsqnonlin(@ObjFunc4LNL,k0,lb,ub,[],x0,yexp);      
ci = nlparci(k,residual,jacobian);
fprintf('\n\n以fmincon()的结果为初值,使用函数lsqnonlin()估计得到的参数值为:\n')
Output


% ------------------------------------------------------------------
function f = ObjFunc4Fmincon(k,x0,yexp)
tspan = [1 20 40 60 80 100 140 180 220 280 320 360 400 500 600];
[t x] = ode45(@KineticEqs,tspan,x0,[],k);   
y(:,1) = x(:,1);
y(:,2) = x(:,2);
f = sum((y(:,1)-yexp(:,1)).^2)+ sum((y(:,2)-yexp(:,2)).^2);

% ------------------------------------------------------------------
function f = ObjFunc4LNL(k,x0,yexp)
tspan = [1 20 40 60 80 100 140 180 220 280 320 360 400 500 600];
[t x] = ode45(@KineticEqs,tspan,x0,[],k);   
y(:,1) = x(:,1);
y(:,2) = x(:,2);
f1 = y(:,1) - yexp(:,1)+y(:,2) - yexp(:,2);
f = [f1;f2];

% ------------------------------------------------------------------
function dxdt = KineticEqs(t,x,k)
dxdt =  ...
[ ( 1/(0.81*0.0000386)*5.364/1000000-x(1)*((287/101325)*(1/(0.81*0.0000386)*(1.4/3600)*x(3)+7.3*k(1)*sqrt(x(2))*(1-x(3))))+7.3*k(2)*exp(-k(3)/x(2))*x(3) )
   (  k(4)*(1.4/3600)*(473.15-x(2))-k(5)*((x(2))^4-(298.15)^4) )
   ( (x(1)*k(1)*sqrt(x(2))*(1-x(3)))-k(2)*exp(-k(3)/x(2))*x(3) )
];


这个是数据:
%SCRKineticsData
% 动力学数据:
%   t_时间     x1_氨泄漏_mol/m3    x2_温度

ExpData = ...
[ 1        0        298.15
20        1.78231E-16        305.1437153
40        2.89597E-15        391.847062
60        6.1406E-13        458.2637625
80        7.83266E-13        472.3382312
100        1.68638E-12        473.6522317
140        1.79014E-11        473.7325518
180        2.18536E-10        473.7330945
220        2.50998E-09        473.7331684
280        9.70709E-08        473.7331458
320        1.11857E-06        473.7328618
360        1.27677E-05        473.7321413
400        0.000144696        473.7250369
500        0.009942007        473.1759208
600        0.010292012        473.149977
]

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