Index exceeds the number of array elements in ODE using anonymous function

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jf on 15 Oct 2021

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Commented: Star Strider on 15 Oct 2021

I dont't understand what is wrong with this scirpt. For different set of equations I was able to use anonymous functions inside ODE handle and everuthing was just perfect, but now, in much larger system, I am constantly getting this error

Index exceeds the number of array elements (34).

Error in full_DAO>@(t,x)[1/L1*(.............

Error in odearguments (line 90) f0 = feval(ode,t0,y0,args{:}); % ODE15I sets args{1} to yp0.

Error in ode15s (line 150) odearguments(FcnHandlesUsed, solver_name, ode, tspan, y0, options, varargin);

Error in full_DAO (line 118) [t,sol] = ode15s(deq,[0 100e-6],zeros(1,34));

Do you have idea what can be wrong? Clearly, number of equations is 34 and nowhere I am calling higher index so I don't get it. How to avoid this error?

clear
close all
clc
format shorteng
m = 0.6;
L1 = 40e-6;
L2 = 40e-6;
L3 = 125e-9;
L4 = 125e-9;
L5 = 125e-9;
L6 = 40e-6;
L7 = 40e-6;
L8 = 125e-9;
L9 = 125e-9;
L10 = 40e-6;
L11 = 40e-6;
L12 = (1/2 + m/2)*125e-9;
L13 = (1/2 + m/2)*125e-9;
L14 = 40e-6;
L15 = 40e-6;
L16 = 125e-9*(1 - m^2)/(2*m);
L17 = 125e-9*(1 - m^2)/(2*m);
U1 = -2;
U2 = 3;
U3 = 7;
Udd = 11;
Ru1 = 100;
Ru2 = 60;
Ru3 = 20;
Rudd = 7;
R1 = 50;
R2 = 50;
%RF loss modelling
Rc3 = 1e9;
Rc4 = 5e3;
Rc7 = 200e3;
Rc8 = 500e3;
Rc11 = 15e3;
Rc12 = 700e3;
RL3 = 5;
RL4 = 2;
RL5 = 7;
RL8 = 3;
RL9 = 5;
RL13 = 5;
RL12 = 4;
C1 = 10e-9;
C2 = 10e-9;
C3 = 50e-12;
C4 = 50e-12;
C5 = 10e-9;
C6 = 10e-9;
C7 = 50e-12;
C8 = 50e-12;
C9 = 10e-9;
C10 = 10e-9;
C11 = 50e-12;
C12 = 50e-12;
C13 = 10e-9;
C14 = m/2*50e-12;
C15 = 10e-9;
C16 = m/2*50e-12;
C17 = 10e-9;
%%% Shockley diode equation
Is = 1e-14;
k = 1.38e-23;
q = 1.602e-19;
T = 300;
Vt = k*T/q;
id = @(x) 0*Is*(exp(x/Vt) - 1);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
deq = @(t,x) [...
   1/L1*(U1 - x(1)*Ru1 - x(2));
   1/C1*(x(1) - x(3));
   1/L2*(x(2) - (x(4)/C2 + x(6)));
   x(3) - id(x(4)/C2 + x(6));
   1/L3*(x(8) - x(5)*RL3 - x(6));
   1/C3*(x(5) - x(7) + (x(3) - id(x(4)/C2 + x(6))) - x(6)/Rc3);
   1/L4*(x(6) - x(14) - x(7)*RL4);
   1/C4*(x(9) - x(5) - x(8)/Rc4);
   1/L5*(x(16) - x(9)*RL5 - x(8));
   1/C5*(x(11) - x(13));
   1/L6*(U2 - x(11)*Ru2 - x(10));
   x(13) - id(x(12)/C6 + x(14));
   1/L7*(x(10) - (x(12)/C6 + x(14)));
   1/C7*(x(7) - x(15) + (x(13) - id(x(12)/C6 + x(14))) - x(14)/Rc7);
   1/L8*(x(14) - x(22) - x(15)*RL8);
   1/C8*(x(17) - x(16)/Rc8 - x(9));
   1/L9*(x(24) - x(17)*RL9 - x(16));
   1/C9*(x(19) - x(21));
   1/L10*(U3 - x(19)*Ru3 - x(18));
   x(21) - id(x(20)/C10 + x(22));
   1/L11*(x(18) - (x(20)/C10 + x(22)));
   1/C11*(x(15) - x(23) - x(22)/Rc11 + (x(21) - id(x(20)/C10 + x(22))));
   1/L12*(x(22) - (x(34)/C17 + (x(23) - x(33))*R2) - x(23)*RL12);
   1/C12*(-x(29) - x(25) - x(17) - x(24)/Rc12);
   1/L13*(x(24) - (x(30)/C15 + (x(25) - x(31))*R1) - x(25*RL13));
   x(29) - x(27);
   1/L14*(x(26)/C13 - x(27)*Rudd - Udd);
   x(31);
   1/L15*(x(24) - x(26)/C13);
   x(25) - x(31);
   1/L16*(x(30)/C15 + (x(25) - x(31))*R2 - x(28)/C14);
   x(33);
   1/L17*(x(34)/C17 + (x(23) - x(33))*R2 - x(32)/C16);
   x(23) - x(33);
];
[t,sol] = ode15s(deq,[0 100e-6],zeros(1,34));
figure(1)
plot(t,sol)

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Answer 1

Star Strider on 15 Oct 2021

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https://uk.mathworks.com/matlabcentral/answers/1564596-index-exceeds-the-number-of-array-elements-in-ode-using-anonymous-function#answer_809421

Open in MATLAB Online

There’s a typo:

1/L13*(x(24) - (x(30)/C15 + (x(25) - x(31))*R1) - x(25*RL13));

↑ ← HERE

Correct that:

1/L13*(x(24) - (x(30)/C15 + (x(25) - x(31))*R1) - x(25)*RL13);

and it works!

format shorteng

m = 0.6;

L1 = 40e-6;

L2 = 40e-6;

L3 = 125e-9;

L4 = 125e-9;

L5 = 125e-9;

L6 = 40e-6;

L7 = 40e-6;

L8 = 125e-9;

L9 = 125e-9;

L10 = 40e-6;

L11 = 40e-6;

L12 = (1/2 + m/2)*125e-9;

L13 = (1/2 + m/2)*125e-9;

L14 = 40e-6;

L15 = 40e-6;

L16 = 125e-9*(1 - m^2)/(2*m);

L17 = 125e-9*(1 - m^2)/(2*m);

U1 = -2;

U2 = 3;

U3 = 7;

Udd = 11;

Ru1 = 100;

Ru2 = 60;

Ru3 = 20;

Rudd = 7;

R1 = 50;

R2 = 50;

%RF loss modelling

Rc3 = 1e9;

Rc4 = 5e3;

Rc7 = 200e3;

Rc8 = 500e3;

Rc11 = 15e3;

Rc12 = 700e3;

RL3 = 5;

RL4 = 2;

RL5 = 7;

RL8 = 3;

RL9 = 5;

RL13 = 5;

RL12 = 4;

C1 = 10e-9;

C2 = 10e-9;

C3 = 50e-12;

C4 = 50e-12;

C5 = 10e-9;

C6 = 10e-9;

C7 = 50e-12;

C8 = 50e-12;

C9 = 10e-9;

C10 = 10e-9;

C11 = 50e-12;

C12 = 50e-12;

C13 = 10e-9;

C14 = m/2*50e-12;

C15 = 10e-9;

C16 = m/2*50e-12;

C17 = 10e-9;

%%% Shockley diode equation

Is = 1e-14;

k = 1.38e-23;

q = 1.602e-19;

T = 300;

Vt = k*T/q;

id = @(x) 0*Is*(exp(x/Vt) - 1);

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

deq = @(t,x) [...

1/L1*(U1 - x(1)*Ru1 - x(2));

1/C1*(x(1) - x(3));

1/L2*(x(2) - (x(4)/C2 + x(6)));

x(3) - id(x(4)/C2 + x(6));

1/L3*(x(8) - x(5)*RL3 - x(6));

1/C3*(x(5) - x(7) + (x(3) - id(x(4)/C2 + x(6))) - x(6)/Rc3);

1/L4*(x(6) - x(14) - x(7)*RL4);

1/C4*(x(9) - x(5) - x(8)/Rc4);

1/L5*(x(16) - x(9)*RL5 - x(8));

1/C5*(x(11) - x(13));

1/L6*(U2 - x(11)*Ru2 - x(10));

x(13) - id(x(12)/C6 + x(14));

1/L7*(x(10) - (x(12)/C6 + x(14)));

1/C7*(x(7) - x(15) + (x(13) - id(x(12)/C6 + x(14))) - x(14)/Rc7);

1/L8*(x(14) - x(22) - x(15)*RL8);

1/C8*(x(17) - x(16)/Rc8 - x(9));

1/L9*(x(24) - x(17)*RL9 - x(16));

1/C9*(x(19) - x(21));

1/L10*(U3 - x(19)*Ru3 - x(18));

x(21) - id(x(20)/C10 + x(22));

1/L11*(x(18) - (x(20)/C10 + x(22)));

1/C11*(x(15) - x(23) - x(22)/Rc11 + (x(21) - id(x(20)/C10 + x(22))));

1/L12*(x(22) - (x(34)/C17 + (x(23) - x(33))*R2) - x(23)*RL12);

1/C12*(-x(29) - x(25) - x(17) - x(24)/Rc12);

% 1/L13*(x(24) - (x(30)/C15 + (x(25) - x(31))*R1) - x(25*RL13));

1/L13*(x(24) - (x(30)/C15 + (x(25) - x(31))*R1) - x(25)*RL13);

x(29) - x(27);

1/L14*(x(26)/C13 - x(27)*Rudd - Udd);

x(31);

1/L15*(x(24) - x(26)/C13);

x(25) - x(31);

1/L16*(x(30)/C15 + (x(25) - x(31))*R2 - x(28)/C14);

x(33);

1/L17*(x(34)/C17 + (x(23) - x(33))*R2 - x(32)/C16);

x(23) - x(33);

];

[t,sol] = ode15s(deq,[0 100e-6],zeros(1,34));

figure(1)

plot(t,sol)

.

3 Comments
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jf on 15 Oct 2021

Also just in case that I encounter it again, how did you spot it? By stepping into ode solver?

Star Strider on 15 Oct 2021

‘Oh god. You sir are genius...as always :)’

Thank you!

‘Also just in case that I encounter it again, how did you spot it? By stepping into ode solver?’

No. I just looked for subscript references that didn’t look right, and since I wasn’t concerned with anything else (syntax and other problems), it was relatively easy to detect.

I did it here in the online Run feature, however doing it offline on my computer could have thrown a line-specific error that would have made it easier to detect. Had I kept getting errors of various types, I might have done that. Fortunately, that wasn’t nbecessary.

.

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Index exceeds the number of array elements in ODE using anonymous function

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Index exceeds the number of array elements in ODE using anonymous function

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