Ocs package

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OCS : Octave Circuit Simulator

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Problem Formulation

Data Structure

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A CMOS AND GATE

Schematic for a CMOS AND gate

Here we show how to set up the simulation of the CMOS AND gate in the figure. The circuit has

  • 9 Elements
    • 6 MOSFETs (3 n-type + 3 p-type)
    • 3 Voltage sources

Below we show three methods for constructing the circuit data structure

Once the circuit data structure is loaded the simulation can be started by the following commands

Code: Run the AND gate simulation
x         = [.5 .5 .33 .66 .5 1 0 0 1 ]';
t         = linspace (0, .5, 100);
pltvars   = {"Va", "Vb", "Va_and_b"};
dmp       = .2;
tol       = 1e-15;
maxit     = 100;
out       = tst_backward_euler (outstruct, x, t, tol, maxit, pltvars);
Result of the CMOS AND gate switching simulation

Click on the figure to the right to see the simulation results


Build the AND GATE structure directly

Code: Build the AND GATE structure via an Octave script
## NLC

# n-type
outstruct.NLC(1).func = "Mnmosfet";
outstruct.NLC(1).section = "simple";
outstruct.NLC(1).nextvar = 4;
outstruct.NLC(1).npar = 3;
outstruct.NLC(1).nparnames = 3;
outstruct.NLC(1).parnames = { "k", "Vth", "rd"};

outstruct.NLC(1).pvmatrix = [1.0000e-04   1.0000e-01   1.0000e+07
                             1.0000e-04   1.0000e-01   1.0000e+07
                             1.0000e-04   1.0000e-01   1.0000e+07];

outstruct.NLC(1).vnmatrix = [1   3   4   0
                             2   0   3   0
                             4   0   5   0];

outstruct.NLC(1).nintvar = [0 0 0];
outstruct.NLC(1).osintvar = [0 0 0];


# p-type
outstruct.NLC(2).func = "Mpmosfet";
outstruct.NLC(2).section = "simple";
outstruct.NLC(2).nextvar = 4;
outstruct.NLC(2).npar = 3;
outstruct.NLC(2).nparnames = 3;
outstruct.NLC(2).parnames = { "k", "Vth", "rd"};
outstruct.NLC(2).pvmatrix = [-1.0000e-04  -1.0000e-01   1.0000e+07
                             -1.0000e-04  -1.0000e-01   1.0000e+07
                             -1.0000e-04  -1.0000e-01   1.0000e+07];
outstruct.NLC(2).vnmatrix =  [ 1   6   4   6
                               2   6   4   6
                               4   6   5   6];

outstruct.NLC(2).nintvar = [0 0 0];
outstruct.NLC(2).osintvar = [0 0 0];

# Va and Vb

outstruct.NLC(3).func = "Mvoltagesources";
outstruct.NLC(3).section = "sinwave";
outstruct.NLC(3).nextvar = 2;
outstruct.NLC(3).npar = 4;
outstruct.NLC(3).nparnames = 4;
outstruct.NLC(3).parnames = {"Ampl", "f", "delay", "shift"};
outstruct.NLC(3).pvmatrix = [0.50000   1.00000   0.00000   0.50000
                             0.50000   2.00000   0.25000   0.50000];
outstruct.NLC(3).vnmatrix = [ 1   0
                              2   0];
outstruct.NLC(3).nintvar = [1 1];
outstruct.NLC(3).osintvar = [0 0];

## LCR

# Vdd
outstruct.LCR(1).func = "Mvoltagesources";
outstruct.LCR(1).section = "DC";
outstruct.LCR(1).nextvar = 2;
outstruct.LCR(1).npar = 1;
outstruct.LCR(1).nparnames = 1;
outstruct.LCR(1).parnames = {"V"};
outstruct.LCR(1).pvmatrix = 1;
outstruct.LCR(1).vnmatrix = [6 0];
outstruct.LCR(1).nintvar = 1;
outstruct.LCR(1).osintvar = 2;

## 

outstruct.namesn = [1   2   5   6   7   8   9];
outstruct.namess = {"Va", "Vb", "Va_and_b", "Vdd", "I1", "I2", "I3"};
outstruct.totextvar =  6;
outstruct.totintvar =  3;


Build the AND gate circuit structure parsing an IFF netlist

To parse an IFF format netlist of the CMOS AND gate we can use the following command

Code: Load the AND circuit structure parsing an IFF netlist
outstruct = prs_iff ("and");

The IFF netlist consists of the .cir file named "and.cir" shown below

Code: IFF netlist for the AND gate (.cir file)
% 0.1b1
% A Simple CMOS AND GATE
%
% N-Mosfets
% There are 3 N-Mosfets
Mnmosfet simple 4 3
3 3
k          Vth		rd
1e-4       0.1		1e7
1e-4       0.1		1e7
1e-4       0.1		1e7
1 3 4 0 
2 0 3 0 
4 0 5 0 
%
% P-Mosfets
Mpmosfet simple 4 3
3 3
k           Vth		rd
-1e-4       -0.1	1e7
-1e-4       -0.1	1e7
-1e-4       -0.1	1e7
1 6 4 6 
2 6 4 6 
4 6 5 6
%
% Input voltage sources
Mvoltagesources sinwave 2 4
2 4
Ampl      f       delay     shift
0.5       1       0.0       0.5
0.5       2       0.25      0.5
1 0  
2 0  
END
%
% Power supply
Mvoltagesources DC  2 1
1 1
V
1
6 0  
END

and of the .nms file named "and.nms shown below

Code: IFF netlist for the AND gate (.nms file)
% 0.1b1
1 Va
2 Vb
5 Va_and_b
6 Vdd
7 I1
8 I2 
9 I3

Build the AND gate circuit structure parsing a .spc file

Code: Load the AND circuit structure parsing a .spc file
outstruct = prs_spice ("and");


Code: The .spc file for the CMOS AND gate
* AND (simple Algebraic MOS-FET model)

.MODEL mynmos NMOS(LEVEL=simple k=2.94e-05   Vth=0.08	rd=.957e7)
.MODEL mypmos PMOS( k=-2.94e-05   Vth=-0.08	rd=.957e7)

M1 Va 3  4        0 mynmos 
M2 Vb 0  3        0 mynmos 
* nside of the inverter
M3 4  0  Va_and_b 0 mynmos       

M4 Va Vdd 4        Vdd  mypmos
M5 Vb Vdd 4        Vdd  mypmos

* pside of the inverter
M6 4  Vdd Va_and_b Vdd  mypmos  

V1  Va 0 SIN(0.5 0.5 1 0 0)
V2  Vb 0 SIN(0.5 0.5 2 0.25 0)
V3  Vdd 0 1

.END