Projekt KOMPUTEROWA SYMULACJA UKŁADÓW DYNAMICZNYCH SYSTEM MatLab
NR ĆWICZENIA 1
DATA WYKONANIA ĆWICZENIA
26.9.2010

Przykład 1.

$$E = Ri\left( t \right) + L\frac{\text{di}(t)}{\text{dt}} + Uc$$

$$\frac{\text{du}}{\text{dt}} = \frac{1}{C}i\left( t \right)$$

$$\frac{\text{di}}{\text{dt}} = \frac{E}{L} - \frac{R}{L}i\left( t \right) - \frac{\text{Uc}}{L}$$

$$L\frac{\text{di}\left( t \right)}{\text{dt}} = E - R*i\left( t \right) - Uc$$

$$C\frac{\text{duc}}{\text{dt}} = i(t)$$

Program:

E=10;

R=5;

L=10e-3;

C=10e-6;

sim('RLCm')

figure(1);

plot(data(:,1),data(:,2));

hold on

figure(2)

plot(data(:,1),data(:,3));

hold on

E = uc + uL

$$E = uc + L\frac{\text{di}}{\text{dt}}$$

$$L\frac{\text{di}}{\text{dt}} = E - uc$$

i = ic + iR

$$i = C\frac{\text{duc}}{\text{dt}} + iR$$

$$C\frac{\text{duc}}{\text{dt}} = i - iR$$

Program:

E=3;

R=300;

L=1;

C=100e-6;

sim('zad2')

figure(1)

plot(data(:,4),data(:,1),'r',data(:,4),data(:,2),'g',data(:,4),data(:,3),'k')

legend('Ic','I','Ir')

grid

hold on;

figure(2)

R=[100 200 300];

k=['r' 'g' 'k'];

for a=1:3

r=R(a);

sim('test')

plot(data(:,1),data(:,3),k(a))

legend('Ul [R=100]','Ul [R=200]','Ul [R=300]')

grid

hold on

end

Przykład 3.

Program:

E=10;

R1=1000;

R2=1000;

L=10;

C1=100e-6;

C2=5e-6

sim('zad3')

figure(1)

subplot(2,1,1)

plot(data(:,1),data(:,2),'r',data(:,1),data(:,3),'g')

subplot(2,1,2)

plot(data(:,1),data(:,4),'r',data(:,1),data(:,5),'g')

hold on;

Przykład 4.

e = uc + uL + uR

$$L\frac{\text{diL}}{\text{dt}} = Usin\omega - uc - ic*R$$

ic = iL + iR0

$$C\frac{\text{duc}}{\text{dt}} = iL + \frac{\text{uL}}{R0}$$

R=1000

R0=100

L=10

C=10e-6

E=4

f=10

w=2*pi*f

sim('CW4')

figure(1)

subplot(2,1,1);

plot(Data1(:,1),Data1(:,2),Data1(:,1),Data1(:,3))

legend('Ic','Il')

title('I')

grid on

subplot(2,1,2)

plot(Data(:,1),Data(:,2),Data(:,1),Data(:,3))

legend('Ul','Uc')

title('U')

grid on