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Solving state space equation by ode45

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Basetsana Sebolao
Basetsana Sebolao 2021년 5월 12일
댓글: Star Strider 2021년 5월 17일 12:01
Helo everyone
I am trying to solve a state space matrix using ode45. My A matrix is a 4 x 4, my B matrix is a 4 x 4 and my input matrix, v is a 4 x 1. I am expecting a matrix of 4 x 1 however when I run my code Matlab indicates that my t and y arrays have 185853 rows in my workspace, which is befuddling because I do not understand why my matrix has a lot of rows.I have attached a picture of my code. Pease kindly assist, thank you in advance.
  댓글 수: 2
Basetsana Sebolao
Basetsana Sebolao 2021년 5월 12일
Noted, thank you. I have copied and pasted my code below:
function di = sys(t, i)
Rs=1.115;Rr=1.0830; Wr=1150; Lm= 76.79; Ls=79.04; Lr=79.04; Ws=376;
R=[Rs 0 0 0; 0 Rs 0 0; 0 0 Rr 0; 0 0 0 Rr];
G=[ 0 0 0 0; 0 0 0 0; 0 -Lm 0 -Lr; Lm 0 Lr 0];
L=[Ls 0 Lm 0; 0 Ls 0 Lm; Lm 0 Lr 0; 0 0 0 Rr];
k=1/(Ls*Lr-Lm*Lm);
%A is a 4x4 matrix
A=-L*(R+(Wr*G));
%B is a 4x4 matrix
B= k*[Lr 0 -Lm 0; 0 Lr 0 -Lm; -Lm 0 Rs 0; 0 -Lm 0 Ls];
%V is a 4x1 matrix
v = [t; 0; 0; 0];
%state equation
di = A*i + B*v;
end

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Star Strider
Star Strider 2021년 5월 12일
The MATLAB ODE solvers are adaptive, and so will solve with as narrow a difference in the time steps as necessary to produce a stable solution. In your differential equation solution, there are very rapid oscillations with increasing amplitudes beginning at about time units.
tspan = [0 0.005];
iniCon = [0 0 0 0];
[t,y] = ode45(@sys, tspan, iniCon);
getSizes = [size(t); size(y)]
getSizes = 2×2
185853 1 185853 4
figure
plot(t, y)
grid
figure
cols = size(y,2);
for k = 1:cols
subplot(cols,1,k)
plot(t, y(:,k))
grid
xlim([0 1.5E-4])
title(sprintf('y_{%d}',k))
end
xlabel('t')
function di = sys(t, i)
Rs=1.115;Rr=1.0830; Wr=1150; Lm= 76.79; Ls=79.04; Lr=79.04; Ws=376;
R=[Rs 0 0 0; 0 Rs 0 0; 0 0 Rr 0; 0 0 0 Rr];
G=[ 0 0 0 0; 0 0 0 0; 0 -Lm 0 -Lr; Lm 0 Lr 0];
L=[Ls 0 Lm 0; 0 Ls 0 Lm; Lm 0 Lr 0; 0 0 0 Rr];
k=1/(Ls*Lr-Lm*Lm);
%A is a 4x4 matrix
A=-L*(R+(Wr*G));
%B is a 4x4 matrix
B= k*[Lr 0 -Lm 0; 0 Lr 0 -Lm; -Lm 0 Rs 0; 0 -Lm 0 Ls];
%V is a 4x1 matrix
v = [t; 0; 0; 0];
%state equation
di = A*i + B*v;
end
.
  댓글 수: 2
Star Strider
Star Strider 2021년 5월 17일 12:01
As always, my pleasure!

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