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minati54_v3.m
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minati54_v3.m
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clc; clear all; close all
% Step size
dt = 1e-7;
% duration
seconds = 30;
% iteration
steps = floor(seconds / dt);
% Component value
Vcc = 5;
R = 226;
L1 = 150;
L2 = 68;
L3 = 15;
C = 470e-6;
C1 = 30e-6;
C2 = 30e-6;
C3 = 1e-8;
% Initial condition
Vc = 0.76;
V1 = 50e-6;
V2 = 1e-8;
V3 = 10e-8;
Il1 = 2e-4;
Il2 = -2e-4;
Il3 = 2e-4;
Vbc1 = 0;
Vbc2 = -1e-4;
Vbe1 = 0;
Vbe2 = 0.76;
% Static Allocation
save_step = 10000; count = 0; i = 0;
x = NaN(floor(steps / save_step), 1);
y = NaN(floor(steps / save_step), 1);
z = NaN(floor(steps / save_step), 1);
xy = NaN(floor(steps / save_step), 1);
fprintf('[+] Start Simulation \n')
% Solve the system
for iteration = 1 : steps - 1
% Euler Method
Vc_new = Vc + C^(-1) * (((Vcc - V3 + V2 - Vc) / R) - f(Vbe2, Vbc2)) * dt;
V1_new = V1 + C1^(-1) * (h(Vbe1, Vbc1) - Il2 - Il3) * dt;
V2_new = V2 + C2^(-1) * (f(Vbe2, Vbc2) - f(Vbe1, Vbc1) - ((Vcc - V3 + V2 - Vc) / R) - Il1 + Il3) * dt;
V3_new = V3 + C3^(-1) * (((Vcc - V3 + V2 - Vc) / R) - g(Vbe2, Vbc2) - Il3) * dt;
Il1_new = Il1 + L1^(-1) * (V2) * dt;
Il2_new = Il2 + L2^(-1) * (V1) * dt;
Il3_new = Il3 + L3^(-1) * (V1 - V2 + V3 - 0.15) * dt;
% Store
if count == save_step
count = 0;
i = i + 1;
x(i) = Vbe2 - Vbc2;
y(i) = Vbe2;
z(i) = Vc;
xy(i) = Vbc1;
end
count = count + 1;
% Update state
Vc = Vc_new;
V1 = V1_new;
V2 = V2_new;
V3 = V3_new;
Il1 = Il1_new;
Il2 = Il2_new;
Il3 = Il3_new;
% NPN update
Vbe1 = V2 - V1;
Vbc1 = -V1;
Vbe2 = Vc - V2;
Vbc2 = -V3;
end
fprintf('[+] End Simulation \n');
% PLOT
figure(1);
t = (0 : floor(steps / save_step) - 1) * dt;
subplot(4, 1, 1); plot(t, x, 'k'); title('V_{dd} - V_R');
xlabel('Millisecond'); ylabel('Volt');
subplot(4, 1, 2); plot(t, y, 'k'); title('V_{BE2}');
xlabel('Millisecond'); ylabel('Volt');
subplot(4, 1, 3); plot(t, xy, 'k'); title('V_{BC1}');
xlabel('Millisecond'); ylabel('Volt');
subplot(4, 1, 4); plot(t, z, 'k'); title('V_{C}');
xlabel('Millisecond'); ylabel('Volt');
drawnow;
% figure(3)
% NFFT = 2^11; %NFFT-point DFT
% Z = fft(z, NFFT); %compute DFT using FFT
% nVals = 0 : 100 - 1; %DFT Sample points
% plot(nVals,abs(real(Z(1:100))), 'k');
% %plot(nVals,abs(real(Z(1:100))), 'k');
% grid on
% %axis([0 inf 0 400])
% title('FFT');
% xlabel('Sample points (N-point DFT)')
% ylabel('DFT Values');
for delay = 50 : 1 : 150
figure(2); plot(z(1:end-delay,1),z(delay+1:end,1), 'k'); grid on; ylabel('v(t + \theta) [V]'); xlabel('v(t) [V]'); title('Attractor V_{C}');
annotation('textbox',...
[0.17 0.2 0.15 0.05],...
'String',{['\theta = ' num2str(delay)]},...
'FontSize',12,...
'FontName','Arial',...
'BackgroundColor',[1 1 1],...
'Color',[0 0 0]);
pause(0.2);
end
for delay = 50 : 1 : 100
figure(4)
plot(xy(1:end-delay,1),xy(delay+1:end,1), 'k');
grid on; ylabel('v(t + \theta) [V]'); xlabel('v(t) [V]'); title('Attractor V_{BC1}'); annotation('textbox',...
[0.17 0.2 0.15 0.05],...
'String',{['\theta = ' num2str(delay)]},...
'FontSize',12,...
'FontName','Arial',...
'BackgroundColor',[1 1 1],...
'Color',[0 0 0]);
pause(0.2);
end
% Nonlinear Function
function Ie = f(Vbe, Vbc)
Is = 10e-15; Vt = 0.0259; DROP = 0.1; betaF = 145.76; betaR = 0.1001;
if Vbe > 0
Ie = (Is / betaF) * (exp((Vbe - DROP) / Vt)) + ...
Is * (exp((Vbe - DROP) / Vt) - exp((Vbc - DROP) / Vt));
elseif Vbe <= 0
Ie = Is * (exp((Vbe - DROP) / Vt) - exp((Vbc - DROP) / Vt));
else
fprintf('[!] Error\n');
end
end
function Ic = g(Vbe, Vbc)
Is = 10e-15; Vt = 0.0259; DROP = 0.1; betaF = 145.76; betaR = 0.1001;
if Vbc > 0
Ic = -(Is / betaR) * (exp((Vbc - DROP) / Vt)) + ...
Is * (exp((Vbe - DROP) / Vt) - exp((Vbc - DROP) / Vt));
elseif Vbc <= 0
Ic = Is * (exp((Vbe - DROP) / Vt) - exp((Vbc - DROP) / Vt));
else
fprintf('[!] Error\n')
end
end
function Ib = h(Vbe, Vbc)
Is = 10e-15; Vt = 0.0259; DROP = 0.1; betaF = 145.76; betaR = 0.1001;
if Vbe > 0 && Vbc > 0
Ib = (Is / betaF) * (exp((Vbe - DROP) / Vt)) + (Is / betaR) * (exp((Vbc - DROP) / Vt));
elseif Vbe > 0 && Vbc <= 0
Ib = (Is / betaF) * (exp((Vbe - DROP) / Vt));
elseif Vbe <= 0 && Vbc > 0
Ib = (Is / betaR) * (exp((Vbc - DROP) / Vt));
elseif Vbe <= 0 && Vbc <= 0
Ib = 0;
else
fprintf('[!] Error\n')
end
end
% function y = taylor_exp(x)
% y = 1 + (x^2 / factorial(2)) + (x^3 / factorial(3)) + (x^4 / factorial(4)) + (x^5 / factorial(5));
% end