How could I have these two erros when I did everything right (otherwise)?

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Cody Crouse
Cody Crouse 2024-3-14
评论： Torsten 2024-3-15
Ran in:
My Code:
clear all
clc
%Initial Given Values
q = 6500; %in kW (kilowatts)
c_p = 1.03; %in kJ/(kg*K)
T_1 = 25; %Temperature of Inlet Air in Celcius
%Initial Guesses
X1 = 1200; %p in kPa
X2 = 400; %w in kg/s
X3 = 75; %E_c in kW
X4 = 100; %t_3 in Celcius
X5 = 50; %E_t in kW
X6 = 125; %t_2 in Celcius
X7 = 100; %E_s in kW
%Solution Vector
X = [X1; X2; X3; X4; X5; X6; X7];
%Jacobian Matrix Initialization
J = zeros(7,7);
%RHS Vector Initialization
F = zeros(7,1);
%First Iteration in the Iteration Process
J = JMat(J,X1,X2,X3,X4,X5,X6,X7);
Unrecognized function or variable 'c_p'.

Error in solution>JMat (line 99)
J(5,2) = c_p*T_1 - c_p*X6;
F = RHS(F,X1,X2,X3,X4,X5,X6,X7);
%Tolerance counter of Initial
I = 0;
%Tolerance
T = 10^(-8); %Larger to Save Time on Processing of Program.
%Error
E = 10^4; %Smaller to decrease time to get final iteration result.
%Additional Iterations
while (E > T)
X_Prev = X;
%Computation of Equation
X = X - Ja\Fa;
%Incremental Increase of Interations
I = I + 1;
%Solutions Get Updated with Each Iteration
X1 = X(1); X2 = X(2); X3 = X(3); X4 = X(4); X5 = X(5); X6 = X(6); X7 = X(7);
%New Jacobian Matrix with each Iteration
J = JMat(Ja,X1,X2,X3,X4,X5,X6,X7);
%New RHS Vector with each Iteration
F = RHS(Fa,X1,X2,X3,X4,X5,X6,X7);
X_New = X;
%Determination of Error
E=find_E(X_Prev, X_New);
end
%Jacobian Matrix Computation
function J = JMat(J,X1,X2,X3,X4,X5,X6,X7)
%First Equation & Differentiations
J(1,1) = 1;
J(1,2) = -20.5 + 5.6*X2;
J(1,3) = 0;
J(1,4) = 0;
J(1,5) = 0;
J(1,6) = 0;
J(1,7) = 0;
J(2,1) = .2 - .004*X1 + 103*exp(-abs(103*X1));
J(2,2) = 0;
J(2,3) = 1;
J(2,4) = 0;
J(2,5) = 0;
J(2,6) = 0;
J(2,7) = 0;
J(3,1) = -.02332 - .96e-4*X1 -.000121*X4 + .5472e-5*X1*X4 + .1137e-6*X2^(2) - .4248*1.995e-08*X1*X4^(2);
J(3,2) = 1;
J(3,3) = .02644 - .3698e-4 -.000121 + .2736e-4*X1^(2) + .2274*X1*X4 - 4248*1.995e-08*X1^(2)*X4;
J(3,4) = 0;
J(3,5) = 0;
J(3,6) = 0;
J(3,7) = 0;
J(4,1) = 10.06 - .066066*X1 -.050921*X4 + 1.705e-4*X1*X4 + .2356e-4*X4^(2) - .8946*3.162e-06*X1*X4^(2);
J(4,2) = 0;
J(4,3) = 0;
J(4,4) = -7.4709 -.0078388*X4 - 0.050921*X1 + .8525E-4*X1^(2) + .4712e-4*X1*X4 - .8946*3.162e-06*X1*X4^(2);
J(4,5) = 1;
J(4,6) = 0;
J(4,7) = 0;
J(5,1) = 0;
J(5,2) = c_p*T_1 - c_p*X6;
J(5,3) = 1;
J(5,4) = 0;
J(5,5) = 0;
J(5,6) = - X2*c_p;
J(5,7) = 0;
J(6,1) = 0;
J(6,2) = -X6*c_p;
J(6,3) = 0;
J(6,4) = X6*c_p;
J(6,5) = 0;
J(6,1) = X4*c_p - X2*c_p;
J(6,7) = 0;
J(7,1) = 0;
J(7,2) = 0;
J(7,3) = -1;
J(7,4) = 0;
J(7,5) = 1;
J(7,6) = 0;
J(7,7) = -1;
end
%Computation of RHS Vector
function F = RHS(Fa,X1,X2,X3,X4,X5,X6,X7)
F1 = X1 - 279 - 20.5*X2 + 2.8*X2^(2);
F2 = X3 - 999 + .2*X1 - .002*X1^(2) - 1.5e-8 - exp(-abs(103*X1));
F3 = X2 - 9.22 - .2342*X1 - .48e-4*X1^(2) + .02644*X4 - .1849e-4*X4^(2) - .000121*X1*X4 + .2736e-4*X1(2)*X4 + .1137e-6*X1*X4^(2) - .2124*1.995e-08*X1^(2)*X4^(2);
F4 = X5 - 1693.2 + 10.06*X1 - .033033*X1^(2) - 7.4709*X4 - .003919*X4^(2) - .050921*X1*X4 + .8525e-4*X1^(2)*X4 + .2356e-4*X1*X4^(2) - .4473*3.162e-06*X1^(2)*X4^(2);
F5 = X3 - X2*c_p + X2*c_p*T_1;
F6 = q -X6*X2*c_p + X6*c_p*X4;
F7 = X5 - X3 - X7;
end
%Error Computations
function E = find_E(X_Prev, X_New)
termA = (X_New - X_Prev)^2;
termA = sum(termA(:))^0.5;
termB = X_New.^2;
termB = sum(termB(:))^0.5;
E = termA/termB;
end

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回答（1 个）

Torsten
Torsten 2024-3-14
编辑：Torsten 2024-3-14
Ran in:
c_p defined in your script does not mean that it is also visible in your functions.
Either define the functions as nested functions or pass c_p to the functions in which it is needed.
It would work, but you should avoid redefining c_p in the functions or declaring it as a global variable.
This would work, e.g.:
%Initial Given Values
q = 6500; %in kW (kilowatts)
c_p = 1.03; %in kJ/(kg*K)
T_1 = 25; %Temperature of Inlet Air in Celcius
%Initial Guesses
X1 = 1200; %p in kPa
X2 = 400; %w in kg/s
X3 = 75; %E_c in kW
X4 = 100; %t_3 in Celcius
X5 = 50; %E_t in kW
X6 = 125; %t_2 in Celcius
X7 = 100; %E_s in kW
%Solution Vector
X = [X1; X2; X3; X4; X5; X6; X7];
%Jacobian Matrix Initialization
J = zeros(7,7);
%RHS Vector Initialization
F = zeros(7,1);
%First Iteration in the Iteration Process
syms X1s X2s X3s X4s X5s X6s X7s
Fs = RHS(X1s,X2s,X3s,X4s,X5s,X6s,X7s,q,c_p,T_1);
Js = jacobian(Fs);
J = double(subs(Js,[X1s,X2s,X3s,X4s,X5s,X6s,X7s],[X1,X2,X3,X4,X5,X6,X7]));
F = double(subs(Fs,[X1s,X2s,X3s,X4s,X5s,X6s,X7s],[X1,X2,X3,X4,X5,X6,X7]));
%Tolerance counter of Initial
I = 0;
%Tolerance
T = 10^(-8); %Larger to Save Time on Processing of Program.
%Error
E = 10^4; %Smaller to decrease time to get final iteration result.
%Additional Iterations
while (E > T)
X_Prev = X;
%Computation of Equation
X = X - J\F;
%Incremental Increase of Interations
I = I + 1;
%Solutions Get Updated with Each Iteration
X1 = X(1); X2 = X(2); X3 = X(3); X4 = X(4); X5 = X(5); X6 = X(6); X7 = X(7);
J = double(subs(Js,[X1s,X2s,X3s,X4s,X5s,X6s,X7s],[X1,X2,X3,X4,X5,X6,X7]));
F = double(subs(Fs,[X1s,X2s,X3s,X4s,X5s,X6s,X7s],[X1,X2,X3,X4,X5,X6,X7]));
X_New = X;
%Determination of Error
E=norm(X_Prev- X_New)
end
E = 5.5839e+04
E = 3.0211e+05
E = 8.7865e+06
E = 6.1549e+07
E = 1.3673e+08
E = 5.9649e+07
E = 3.6005e+07
E = 7.3927e+08
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.431061e-18.
E = 2.2792e+11
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.544429e-18.
E = 7.7676e+10
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.182247e-19.
E = 8.1774e+10
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.806065e-20.
E = 5.4020e+11
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.847536e-23.
E = 2.0017e+13
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.720376e-23.
E = 5.0481e+13
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.294477e-26.
E = 5.5802e+14
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.940552e-28.
E = 1.8164e+17
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.598853e-38.
E = 2.2978e+22
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.555966e-38.
E = 1.1434e+22
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.470660e-38.
E = 5.7133e+21
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.294937e-38.
E = 2.8492e+21
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.920384e-38.
E = 1.4083e+21
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.088944e-38.
E = 6.6359e+20
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.239809e-38.
E = 1.8630e+20
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.187302e-38.
E = 2.3970e+21
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.179707e-42.
E = 3.3394e+22
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.697763e-41.
E = 4.8627e+22
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.671214e-46.
E = 1.4115e+25
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.835269e-46.
E = 2.9497e+24
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.963784e-47.
E = 3.8068e+25
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.781978e-50.
E = 5.1348e+26
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.096671e-49.
E = 3.4007e+26
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.376846e-52.
E = 1.2181e+28
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.914956e-55.
E = 1.9491e+29
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.616954e-56.
E = 7.4789e+29
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.130135e-59.
E = 1.0344e+32
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.357275e-59.
E = 5.5066e+31
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.774137e-59.
E = 2.4973e+31
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.415812e-59.
E = 1.0218e+31
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.457198e-59.
E = 2.2785e+31
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.501679e-62.
E = 6.5706e+32
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.886917e-62.
E = 8.0761e+33
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.576697e-66.
E = 1.8503e+35
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.391174e-66.
E = 7.7823e+34
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.977270e-67.
E = 7.2164e+33
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.628185e-68.
E = 5.0077e+36
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.161257e-74.
E = 6.1571e+39
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.169031e-74.
E = 3.1235e+39
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.151258e-74.
E = 1.5338e+39
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.474162e-75.
E = 7.0051e+38
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.317012e-73.
E = 8.0794e+38
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.545251e-77.
E = 1.8376e+40
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.030906e-77.
E = 3.4323e+40
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.790643e-80.
E = 8.2254e+41
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.695891e-82.
E = 3.0143e+42
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.967298e-83.
E = 4.2969e+43
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.442082e-87.
E = 2.4048e+45
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.290130e-87.
E = 2.8786e+44
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.606036e-88.
E = 3.1886e+46
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.938609e-93.
E = 3.0157e+48
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.320260e-93.
E = 1.4657e+48
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.036079e-93.
E = 7.9529e+47
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.038850e-94.
E = 1.3676e+50
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.819399e-102.
E = 2.4851e+53
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.906590e-102.
E = 1.2626e+53
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.799938e-102.
E = 6.2831e+52
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.162908e-101.
E = 2.7468e+52
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.061407e-101.
E = 2.4802e+52
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.649146e-102.
E = 1.6591e+53
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.759971e-106.
E = 7.0046e+54
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.332608e-106.
E = 2.9323e+54
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.705075e-107.
E = 4.1606e+54
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.021210e-110.
E = 5.7848e+56
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.747159e-111.
E = 3.1067e+58
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.179495e-118.
E = 5.2097e+61
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.194996e-118.
E = 2.6411e+61
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.183973e-118.
E = 1.3023e+61
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.334433e-119.
E = 6.3484e+60
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.522893e-118.
E = 3.1439e+60
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.244477e-120.
E = 1.5580e+62
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.950448e-123.
E = 1.9287e+63
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.512263e-123.
E = 1.3181e+63
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.155273e-124.
E = 1.8566e+64
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.513057e-128.
E = 1.1768e+66
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.015090e-128.
E = 1.6576e+65
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.319853e-129.
E = 1.1419e+67
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.514972e-134.
E = 6.2067e+68
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.151440e-134.
E = 2.6277e+68
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.069216e-134.
E = 8.6527e+68
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.007056e-140.
E = 4.6591e+72
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.162254e-140.
E = 2.4221e+72
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.446514e-140.
E = 1.1684e+72
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.897992e-140.
E = 5.2848e+71
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.792728e-140.
E = 2.3004e+71
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.361396e-142.
E = 9.0672e+73
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.116978e-149.
E = 3.4701e+77
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.124087e-149.
E = 1.7541e+77
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.130328e-149.
E = 8.7118e+76
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.094715e-149.
E = 4.2528e+76
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.440639e-150.
E = 1.9977e+76
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.016232e-150.
E = 5.8855e+76
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.669404e-153.
E = 1.4704e+78
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.796721e-154.
E = 2.7828e+79
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.763588e-159.
E = 4.1794e+81
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.567560e-159.
E = 2.0805e+81
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.181587e-159.
E = 9.8632e+80
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.271121e-160.
E = 1.1303e+82
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.124632e-164.
E = 4.3767e+83
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.580343e-164.
E = 1.5425e+83
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.707398e-165.
E = 7.7058e+83
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.173460e-168.
E = 4.9295e+85
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.064793e-169.
E = 2.6561e+86
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.573746e-172.
E = 4.1174e+87
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.112815e-171.
E = 1.9477e+87
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.176210e-173.
E = 1.2011e+89
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.231731e-177.
E = 4.2114e+90
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.948677e-178.
E = 1.9894e+90
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.700731e-177.
E = 3.8152e+90
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.170355e-180.
E = 9.5428e+91
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.206915e-180.
E = 1.1454e+93
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.544471e-184.
E = 1.5774e+94
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.291836e-184.
E = 7.1462e+93
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.614030e-184.
E = 1.7376e+93
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.966558e-185.
E = 4.7307e+94
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.503660e-188.
E = 8.5246e+95
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.636065e-188.
E = 3.8645e+95
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.532458e-190.
E = 6.9100e+97
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.530641e-197.
E = 5.8003e+100
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.579861e-197.
E = 2.9420e+100
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.267733e-197.
E = 1.4332e+100
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.897639e-197.
E = 7.0471e+99
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 7.019706e-197.
E = 1.8895e+100
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.931673e-200.
E = 5.1120e+101
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.684639e-201.
E = 6.8386e+102
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.448591e-205.
E = 5.0858e+104
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.194462e-205.
E = 2.3930e+104
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.235823e-205.
E = 1.8269e+104
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.098497e-206.
E = 9.7183e+105
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.260755e-213.
E = 7.1905e+108
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.336068e-213.
E = 3.4457e+108
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.021478e-213.
E = 1.7041e+108
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.772241e-213.
E = 6.0268e+107
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.615242e-215.
E = 3.1799e+109
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.498180e-216.
E = 6.1406e+109
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.531624e-221.
E = 4.2308e+112
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.550899e-221.
E = 1.4126e+112
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.627405e-221.
E = 1.3941e+112
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.544063e-222.
E = 9.0305e+112
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.496678e-225.
E = 3.0036e+114
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.803039e-226.
E = 1.1673e+115
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.799799e-229.
E = 1.9885e+116
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.943884e-229.
E = 3.1144e+115
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.513144e-233.
E = 1.9466e+118
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.985853e-233.
E = 7.2644e+117
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.451995e-233.
E = 4.3472e+118
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.390362e-237.
E = 2.2890e+120
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.457350e-237.
E = 4.2809e+120
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.033121e-240.
E = 4.2643e+121
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.658780e-241.
E = 6.3021e+122
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.602869e-244.
E = 9.0352e+123
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.829382e-245.
E = 7.0596e+123
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.474979e-243.
E = 7.8439e+122
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.211423e-246.
E = 1.0556e+125
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.918033e-248.
E = 6.9930e+125
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.229815e-249.
E = 2.1242e+126
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.497957e-252.
E = 4.5818e+127
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.333534e-253.
E = 8.0118e+128
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.149850e-258.
E = 1.0079e+131
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.015579e-258.
E = 5.5535e+130
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.725191e-258.
E = 1.9286e+130
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.843690e-258.
E = 1.5561e+131
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.162949e-262.
E = 5.3384e+132
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.562557e-262.
E = 5.7938e+132
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.454548e-263.
E = 2.2506e+133
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.747605e-265.
E = 6.0168e+134
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.170896e-269.
E = 5.5651e+135
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.129117e-267.
E = 4.9411e+135
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.391932e-269.
E = 2.3545e+136
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.415243e-272.
E = 9.3789e+137
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.218941e-273.
E = 6.2065e+137
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.045415e-272.
E = 1.4410e+138
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.164427e-276.
E = 5.8337e+139
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.070482e-276.
E = 1.1588e+139
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.508462e-279.
E = 2.6835e+141
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.098619e-280.
E = 3.7031e+142
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.733076e-285.
E = 2.5348e+144
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.724959e-285.
E = 7.6970e+143
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.412553e-285.
E = 1.9385e+144
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.169844e-286.
E = 7.5065e+144
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.485842e-288.
E = 1.9413e+146
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.147096e-291.
E = 1.4517e+147
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.380332e-289.
E = 1.2519e+147
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.509324e-293.
E = 3.1566e+148
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.507741e-293.
E = 2.1199e+148
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.223807e-297.
E = 1.2336e+150
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 2.017981e-297.
E = 2.2510e+150
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.751215e-301.
E = 1.2433e+152
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.730818e-301.
E = 3.6719e+152
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 8.062876e-304.
E = 2.7815e+153
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.994664e-304.
E = 6.3869e+153
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 3.979664e-307.
E = 1.5900e+155
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.436190e-308.
E = 2.5854e+156
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.276408e-313.
E = 2.8204e+158
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 5.609554e-313.
E = 1.3904e+158
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.219755e-313.
E = 6.7007e+157
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.079611e-313.
E = 9.3461e+158
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.118120e-319.
E = 1.5802e+162
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.077458e-319.
E = 7.4689e+161
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 9.700979e-320.
E = 3.5007e+161
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 6.843303e-320.
E = 8.6699e+160
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.283583e-320.
E = 2.2007e+162
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 4.940656e-324.
E = 3.7219e+163
Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.482197e-323.
E = 1.7215e+163
Warning: Matrix is singular to working precision.
E = 1.6768e+165
Warning: Matrix is singular to working precision.
E = 2.5047e+167
Warning: Matrix is singular to working precision.
E = 1.2499e+167
Warning: Matrix is singular to working precision.
E = 5.8426e+166
Warning: Matrix is singular to working precision.
E = 5.0648e+167
Warning: Matrix is singular to working precision.
E = 1.6850e+169
Warning: Matrix is singular to working precision.
E = 1.4114e+169
Warning: Matrix is singular to working precision.
E = 4.4847e+169
Warning: Matrix is singular to working precision.
E = 1.1642e+171
Warning: Matrix is singular to working precision.
E = 2.6482e+171
Warning: Matrix is singular to working precision.
E = 8.6890e+172
Warning: Matrix is singular to working precision.
E = 1.7883e+174
Warning: Matrix is singular to working precision.
E = 8.0359e+173
Warning: Matrix is singular to working precision.
E = 2.8613e+175
Warning: Matrix is singular to working precision.
E = 1.7611e+177
Warning: Matrix is singular to working precision.
E = 5.0858e+176
Warning: Matrix is singular to working precision.
E = 1.7270e+177
Warning: Matrix is singular to working precision.
E = 7.5918e+177
Warning: Matrix is singular to working precision.
E = 3.4275e+179
Warning: Matrix is singular to working precision.
E = 2.0838e+181
Warning: Matrix is singular to working precision.
E = 1.0025e+181
Warning: Matrix is singular to working precision.
E = 6.3216e+180
Warning: Matrix is singular to working precision.
E = 2.1948e+182
Warning: Matrix is singular to working precision.
E = 1.1707e+183
Warning: Matrix is singular to working precision.
E = 3.1266e+183
Warning: Matrix is singular to working precision.
E = 7.9970e+184
Warning: Matrix is singular to working precision.
E = 6.4774e+185
Warning: Matrix is singular to working precision.
E = 1.8962e+187
Warning: Matrix is singular to working precision.
E = 8.5936e+186
Warning: Matrix is singular to working precision.
E = 8.3661e+187
Warning: Matrix is singular to working precision.
E = 2.9099e+189
Warning: Matrix is singular to working precision.
E = 1.8578e+189
Warning: Matrix is singular to working precision.
E = 3.9026e+189
Warning: Matrix is singular to working precision.
E = 1.8316e+191
Warning: Matrix is singular to working precision.
E = 1.0121e+191
Warning: Matrix is singular to working precision.
E = 1.1350e+193
Warning: Matrix is singular to working precision.
E = 2.6482e+194
Warning: Matrix is singular to working precision.
E = 6.2852e+196
Warning: Matrix is singular to working precision.
E = 3.1630e+196
Warning: Matrix is singular to working precision.
E = 1.4865e+196
Warning: Matrix is singular to working precision.
E = 1.9913e+196
Warning: Matrix is singular to working precision.
E = 4.8230e+197
Warning: Matrix is singular to working precision.
E = 7.6732e+197
Warning: Matrix is singular to working precision.
E = 4.4701e+199
Warning: Matrix is singular to working precision.
E = 1.6655e+200
Warning: Matrix is singular to working precision.
E = 1.6112e+201
Warning: Matrix is singular to working precision.
E = 1.4065e+201
Warning: Matrix is singular to working precision.
E = 3.5364e+202
Warning: Matrix is singular to working precision.
E = 2.0462e+202
Warning: Matrix is singular to working precision.
E = 1.4203e+204
Warning: Matrix is singular to working precision.
E = 4.4043e+204
Warning: Matrix is singular to working precision.
E = 2.1673e+206
Warning: Matrix is singular to working precision.
E = 2.4687e+206
Warning: Matrix is singular to working precision.
E = 9.7405e+206
Warning: Matrix is singular to working precision.
E = 2.6213e+208
Warning: Matrix is singular to working precision.
E = 2.4046e+209
Warning: Matrix is singular to working precision.
E = 1.4601e+209
Warning: Matrix is singular to working precision.
E = 4.3979e+210
Warning: Matrix is singular to working precision.
E = 1.3821e+211
Warning: Matrix is singular to working precision.
E = 1.8479e+212
Warning: Matrix is singular to working precision.
E = 2.8345e+215
Warning: Matrix is singular to working precision.
E = 1.3459e+215
Warning: Matrix is singular to working precision.
E = 6.3684e+214
Warning: Matrix is singular to working precision.
E = 1.8937e+214
Warning: Matrix is singular to working precision.
E = 2.0789e+215
Warning: Matrix is singular to working precision.
E = 1.7255e+216
Warning: Matrix is singular to working precision.
E = 2.5509e+216
Warning: Matrix is singular to working precision.
E = 6.0886e+217
Warning: Matrix is singular to working precision.
E = 8.9740e+218
Warning: Matrix is singular to working precision.
E = 6.0463e+220
Warning: Matrix is singular to working precision.
E = 2.0380e+220
Warning: Matrix is singular to working precision.
E = 2.4105e+220
Warning: Matrix is singular to working precision.
E = 4.2742e+220
Warning: Matrix is singular to working precision.
E = 2.5586e+222
Warning: Matrix is singular to working precision.
E = 5.1653e+222
Warning: Matrix is singular to working precision.
E = 2.7593e+224
Warning: Matrix is singular to working precision.
E = 6.8517e+224
Warning: Matrix is singular to working precision.
E = 4.4404e+225
Warning: Matrix is singular to working precision.
E = 2.8924e+226
Warning: Matrix is singular to working precision.
E = 9.9166e+227
Warning: Matrix is singular to working precision.
E = 6.9556e+227
Warning: Matrix is singular to working precision.
E = 1.7729e+228
Warning: Matrix is singular to working precision.
E = 6.2334e+229
Warning: Matrix is singular to working precision.
E = 4.9073e+229
Warning: Matrix is singular to working precision.
E = 2.3644e+231
Warning: Matrix is singular to working precision.
E = 1.6319e+231
Warning: Matrix is singular to working precision.
E = 1.5490e+233
Warning: Matrix is singular to working precision.
E = 2.3988e+234
Warning: Matrix is singular to working precision.
E = 2.3668e+236
Warning: Matrix is singular to working precision.
E = 1.1620e+236
Warning: Matrix is singular to working precision.
E = 5.7289e+235
Warning: Matrix is singular to working precision.
E = 1.4998e+238
Warning: Matrix is singular to working precision.
E = 3.7624e+241
Warning: Matrix is singular to working precision.
E = 1.9046e+241
Warning: Matrix is singular to working precision.
E = 9.4306e+240
Warning: Matrix is singular to working precision.
E = 4.5583e+240
Warning: Matrix is singular to working precision.
E = 2.1656e+240
Warning: Matrix is singular to working precision.
E = 9.8554e+241
Warning: Matrix is singular to working precision.
E = 4.6173e+243
Warning: Matrix is singular to working precision.
E = 1.8363e+243
Warning: Matrix is singular to working precision.
E = 6.7390e+241
Warning: Matrix is singular to working precision.
E = 2.9048e+244
Warning: Matrix is singular to working precision.
E = 2.7492e+244
Warning: Matrix is singular to working precision.
E = 1.9863e+243
Warning: Matrix is singular to working precision.
E = 7.2568e+242
Warning: Matrix is singular to working precision.
E = 2.2604e+243
Warning: Matrix is singular to working precision.
E = 9.5876e+243
Warning: Matrix is singular to working precision.
E = 3.4096e+245
Warning: Matrix is singular to working precision.
E = 9.3537e+246
Warning: Matrix is singular to working precision.
E = 4.2625e+246
Warning: Matrix is singular to working precision.
E = 2.7887e+247
Warning: Matrix is singular to working precision.
E = 8.3780e+248
Warning: Matrix is singular to working precision.
E = 1.3326e+249
Warning: Matrix is singular to working precision.
E = 6.3316e+249
Warning: Matrix is singular to working precision.
E = 8.9531e+251
Warning: Matrix is singular to working precision.
E = 1.5645e+255
Warning: Matrix is singular to working precision.
E = 7.9288e+254
Warning: Matrix is singular to working precision.
E = 3.9117e+254
Warning: Matrix is singular to working precision.
E = 1.8700e+254
Warning: Matrix is singular to working precision.
E = 1.0114e+254
Warning: Matrix is singular to working precision.
E = 5.4158e+255
Warning: Matrix is singular to working precision.
E = 1.2365e+257
Warning: Matrix is singular to working precision.
E = 5.5760e+256
Warning: Matrix is singular to working precision.
E = 1.0643e+258
Warning: Matrix is singular to working precision.
E = 5.0560e+259
Warning: Matrix is singular to working precision.
E = 9.3774e+257
Warning: Matrix is singular to working precision.
E = 1.5658e+261
Warning: Matrix is singular to working precision.
E = 4.1838e+264
Warning: Matrix is singular to working precision.
E = 2.0380e+264
Warning: Matrix is singular to working precision.
E = 1.0025e+264
Warning: Matrix is singular to working precision.
E = 4.5748e+263
Warning: Matrix is singular to working precision.
E = 3.7949e+262
Warning: Matrix is singular to working precision.
E = 4.3348e+265
Warning: Matrix is singular to working precision.
E = 1.2741e+269
Warning: Matrix is singular to working precision.
E = 6.4470e+268
Warning: Matrix is singular to working precision.
E = 3.1958e+268
Warning: Matrix is singular to working precision.
E = 1.5504e+268
Warning: Matrix is singular to working precision.
E = 7.2752e+267
Warning: Matrix is singular to working precision.
E = 1.4234e+269
Warning: Matrix is singular to working precision.
E = 6.8426e+270
Warning: Matrix is singular to working precision.
E = 2.2368e+269
Warning: Matrix is singular to working precision.
E = 9.6570e+272
Warning: Matrix is singular to working precision.
E = 2.4503e+277
Warning: Matrix is singular to working precision.
E = 1.2170e+277
Warning: Matrix is singular to working precision.
E = 6.0767e+276
Warning: Matrix is singular to working precision.
E = 3.0205e+276
Warning: Matrix is singular to working precision.
E = 1.4685e+276
Warning: Matrix is singular to working precision.
E = 6.1077e+275
Warning: Matrix is singular to working precision.
E = 4.8914e+275
Warning: Matrix is singular to working precision.
E = 6.5645e+275
Warning: Matrix is singular to working precision.
E = 9.5434e+277
Warning: Matrix is singular to working precision.
E = 4.5622e+279
Warning: Matrix is singular to working precision.
E = 5.7207e+282
Warning: Matrix is singular to working precision.
E = 2.9016e+282
Warning: Matrix is singular to working precision.
E = 1.4247e+282
Warning: Matrix is singular to working precision.
E = 6.7271e+281
Warning: Matrix is singular to working precision.
E = 6.0973e+281
Warning: Matrix is singular to working precision.
E = 1.6123e+283
Warning: Matrix is singular to working precision.
E = 2.5604e+283
Warning: Matrix is singular to working precision.
E = 6.2663e+284
Warning: Matrix is singular to working precision.
E = 1.9163e+285
Warning: Matrix is singular to working precision.
E = 1.5529e+287
Warning: Matrix is singular to working precision.
E = 5.3758e+290
Warning: Matrix is singular to working precision.
E = 2.6282e+290
Warning: Matrix is singular to working precision.
E = 1.2978e+290
Warning: Matrix is singular to working precision.
E = 6.0734e+289
Warning: Matrix is singular to working precision.
E = 1.4523e+289
Warning: Matrix is singular to working precision.
E = 4.2607e+290
Warning: Matrix is singular to working precision.
E = 8.3155e+291
Warning: Matrix is singular to working precision.
E = 3.7573e+291
Warning: Matrix is singular to working precision.
E = 7.6334e+293
Warning: Matrix is singular to working precision.
E = 4.5380e+297
Warning: Matrix is singular to working precision.
E = 2.2335e+297
Warning: Matrix is singular to working precision.
E = 1.1093e+297
Warning: Matrix is singular to working precision.
E = 5.3715e+296
Warning: Matrix is singular to working precision.
E = 2.1514e+296
Warning: Matrix is singular to working precision.
E = 2.8519e+296
Warning: Matrix is singular to working precision.
E = 6.5118e+296
Warning: Matrix is singular to working precision.
E = 2.7010e+298
Warning: Matrix is singular to working precision.
E = 1.7218e+297
Warning: Matrix is singular to working precision.
E = 1.3060e+300
Warning: Matrix is singular to working precision.
E = 1.9556e+301
Warning: Matrix is singular to working precision.
E = 8.4673e+302
Warning: Matrix is singular to working precision.
E = 3.4786e+302
Warning: Matrix is singular to working precision.
E = 2.9727e+301
Warning: Matrix is singular to working precision.
E = 3.0105e+304
Warning: Matrix is singular to working precision.
E = NaN
%Computation of RHS Vector
function F = RHS(X1,X2,X3,X4,X5,X6,X7,q,c_p,T_1)
F1 = X1 - 279 - 20.5*X2 + 2.8*X2^(2);
F2 = X3 - 999 + .2*X1 - .002*X1^(2) - 1.5e-8 - exp(-abs(103*X1));
F3 = X2 - 9.22 - .2342*X1 - .48e-4*X1^(2) + .02644*X4 - .1849e-4*X4^(2) - .000121*X1*X4 + .2736e-4*X1^(2)*X4 + .1137e-6*X1*X4^(2) - .2124*1.995e-08*X1^(2)*X4^(2);
F4 = X5 - 1693.2 + 10.06*X1 - .033033*X1^(2) - 7.4709*X4 - .003919*X4^(2) - .050921*X1*X4 + .8525e-4*X1^(2)*X4 + .2356e-4*X1*X4^(2) - .4473*3.162e-06*X1^(2)*X4^(2);
F5 = X3 - X2*c_p + X2*c_p*T_1;
F6 = q -X6*X2*c_p + X6*c_p*X4;
F7 = X5 - X3 - X7;
F = [F1;F2;F3;F4;F5;F6;F7];
end
  1 个评论
Torsten
Torsten 2024-3-15
Ran in:
The professional MATLAB solver doesn't succeed, either, with your set of equations:
%Initial Given Values
q = 6500; %in kW (kilowatts)
c_p = 1.03; %in kJ/(kg*K)
T_1 = 25; %Temperature of Inlet Air in Celcius
%Initial Guesses
X0 = zeros(7,1);
X0(1) = 1200; %p in kPa
X0(2) = 400; %w in kg/s
X0(3) = 75; %E_c in kW
X0(4) = 100; %t_3 in Celcius
X0(5) = 50; %E_t in kW
X0(6) = 125; %t_2 in Celcius
X0(7) = 100; %E_s in kW
norm(RHS(X0(1),X0(2),X0(3),X0(4),X0(5),X0(6),X0(7),q,c_p,T_1))
ans = 4.4506e+05
options = optimset('MaxFunEvals',5000000,'MaxIter',5000000);
sol_X = fsolve(@(x)RHS(x(1),x(2),x(3),x(4),x(5),x(6),x(7),q,c_p,T_1),X0,options)
Solver stopped prematurely. fsolve stopped because it exceeded the function evaluation limit, options.MaxFunctionEvaluations = 5.000000e+06.
sol_X = 7×1
1.0e+03 * -0.0343 -0.0094 0.6204 -0.9298 2.3711 0.0069 1.7513
norm(RHS(sol_X(1),sol_X(2),sol_X(3),sol_X(4),sol_X(5),sol_X(6),sol_X(7),q,c_p,T_1))
ans = 570.6358
%Computation of RHS Vector
function F = RHS(X1,X2,X3,X4,X5,X6,X7,q,c_p,T_1)
F1 = X1 - 279 - 20.5*X2 + 2.8*X2^(2);
F2 = X3 - 999 + .2*X1 - .002*X1^(2) - 1.5e-8 - exp(-abs(103*X1));
F3 = X2 - 9.22 - .2342*X1 - .48e-4*X1^(2) + .02644*X4 - .1849e-4*X4^(2) - .000121*X1*X4 + .2736e-4*X1^(2)*X4 + .1137e-6*X1*X4^(2) - .2124*1.995e-08*X1^(2)*X4^(2);
F4 = X5 - 1693.2 + 10.06*X1 - .033033*X1^(2) - 7.4709*X4 - .003919*X4^(2) - .050921*X1*X4 + .8525e-4*X1^(2)*X4 + .2356e-4*X1*X4^(2) - .4473*3.162e-06*X1^(2)*X4^(2);
F5 = X3 - X2*c_p + X2*c_p*T_1;
F6 = q -X6*X2*c_p + X6*c_p*X4;
F7 = X5 - X3 - X7;
F = [F1;F2;F3;F4;F5;F6;F7];
end

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