Today Nonlinear Analysis > Analytical method based on ml, m2, m3 > Graphical method > Introduction to incremental analysis... Method 1: Analytical Method Using the node method, rememb
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ELECTRONICS
Nonlinear Analysis
6.002 Fall 2000 Lecture 6
Trang 2
Review
m Discretize matter > LCA
mi ® KVL, KCL, i-v >
m2 ® Composition rules any
circuit
m3 ® Node method LS
m4 ® Superposition L linear
m5 » Thévenin, Norton circuits
6.002 Fall 2000 Lecture 6
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Review
mM Discretize value > Digital abstraction
> Subcircuits for given ‘switch"
setting are linear! So, all 5
methods (mi - m5) can be
applied
VẢ 4-1 V
SR MOSFET Model
6.002 Fall 2000 Lecture 6
Trang 4Today
Nonlinear Analysis
> Analytical method
based on ml, m2, m3
> Graphical method
> Introduction to incremental analysis
Trang 5How do we analyze nonlinear
circuits, for example:
W |i, | Hypothetical
(Expo Dweeb ©)
+ V, -
Ln 1, = q€ bVp
Lp
a
_
> V
0,0 °
(Curiously, the device supplies power when Vp is negative)
Trang 6Method 1: Analytical Method
Using the node method,
(remember the node method applies for linear or
nonlinear circuits)
Vy —V
R +i, =0 (1)
2 unknowns 2 equations
Solve the equation by
= trial and error
= numerical methods
6.002 Fall 2000 Lecture 6
Trang 7Method 2: Graphical Method
Notice: the solution satisfies equations
(1) and (2)
4 Ly
a
>Vn
V
r
bề >Vn
6.002 Fall 2000 Lecture 6
Trang 8Combine the two constraints
A;
ln
i
called “loadline’
for reasons you
will see later
l a=—
A
b=]
Trang 9Method 3: Incremental Analysis
Motivation: music over a light beam
Can we pull this of f?
ae
Lp % Tụ
light intensity /,
in photoreceiver
v,ữ)
intensity
ly % ly
vy, music signal
Emitting
expoDweep ©
v(t) — int) wwe light wwe i, (t) —> sound
problem! will result in distortion
6.002 Fall2000 Lecture 6 9
Trang 10Problem:
The LED is nonlinear — distortion
6.002 Fall 2000 Lecture 6
10
Trang 11If only it were linear
lp
it would ve been ok
What do we do?
Zen is the answer
next lecture!
6.002 Fall 2000 Lecture © 11