Design of sliding mode controller for single phase quasi impedance source inverter simulation model.

Design of sliding mode controller for single phase quasi impedance source inverter simulation model.

[Jon]

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Answer 1

[Sam Chak]

@shiv santosh kumar singh

Since you didn't provide or explain the mathematical model, then the premise of SMC probably looks something like this:

options = odeset('RelTol', 1e-4, 'AbsTol', 1e-6);
[t, x] = ode45(@odefcn, [0 20], [1 0 0], options);
C = [1e10 -4.8e6 1e6/9];
plot(t, C*x', 'linewidth', 1.5)
grid on, xlabel('t'), ylabel('y'), title('Output of Quasi-Z-Source Inverter')

function dxdt = odefcn(t, x)
    dxdt    = zeros(3, 1);
    A = [0 1 0; 0 0 1; -3e7 -4e5/3 -1e3/3];
    B = [0; 0; 1];
    u = - B'*A*x - sign(x(3) + x(2) + x(1));    % wikipedia says to use the signum function
    dxdt = A*x + B*u;
end

[Sam Chak]

Model of Single Phase Quasi-Z-Source Inverter

I don't know the labels, because I don;t know them, so I guess you shoud know,

s  = tf('s');
D  = 0.2;
L  = 4e-3;
C  = 1e-3;
Vi = 200;
M  = 0.5;
Lo = 3e-3;
Ro = 1;
Io = 18;
n1 = L*C*Vi;
n2 = 2*(1 - 2*D)*(1 - D)*L*M*Io;
n3 = Vi*(1 - 2*D)^2;
d1 = L*C*Lo;
d2 = L*C*Ro;
d3 = 2*(1 - D)*L*M^2;
d4 = Ro*(1 - 2*D)^2;
Gp = (n1*s^2 - n2*s + n3)/((1 - 2*D)*(d1*s^3 + d2*s^2 + d3*s + d4));
Gp = minreal(Gp)

Gp =
 
    1.111e05 s^2 - 4.8e06 s + 1e10
  -----------------------------------
  s^3 + 333.3 s^2 + 1.333e05 s + 3e07
 
Continuous-time transfer function.

sys = ss(Gp);
osys = canon(sys,'companion');
A = osys.A';
B = osys.C';
C = osys.B';
D = osys.D;
csys = ss(A, B, C, D)

csys =
 
  A = 
               x1          x2          x3
   x1           0           1           0
   x2           0           0           1
   x3      -3e+07  -1.333e+05      -333.3
 
  B = 
               u1
   x1   1.111e+05
   x2  -4.184e+07
   x3   9.131e+09
 
  C = 
       x1  x2  x3
   y1   1   0   0
 
  D = 
       u1
   y1   0
 
Continuous-time state-space model.

[shiv singh]

Thanks for your effort. But i want to simulate this model. I am attaching link here of paper.

https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7934299

[Sam Chak]

@shiv santosh kumar singh, you should have provided the document/model from the beginning if you are truly looking for help. I'm not good at reading things that confused me, especially when simple things are made complicated for the readers. I assume that Eq. (9) is the 2nd-order model, so please provide the following:

C    = ;
L    = ;
iL   = ;
idc  = ;
iref = ;
vc1  = ;
vc2  = ;
vin  = ;
vref = ;

The u is given in Eq. (6), which requires the so-called Sliding Surface S that can obtained from Eq. (8). Therefore, also provide the following:

alpha1 = ;
alpha2 = ;

Confusingly, the 4th-order model of the qZSI is given in Eq. (5).

[shiv singh]

@Sam Chak

hanks for your effort. But i want to simulate this model. I am attaching link here of paper. Kindly simulate for this model.

https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7934299