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AN3400 Datasheet(PDF) 31 Page - STMicroelectronics

Part # AN3400
Description  Analysis and simulation of a BJT complementary pair in a self-oscillating CFL solution
PDF  78 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN3400 Datasheet(HTML) 31 Page - STMicroelectronics

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AN3400
Driving network modeling
Doc ID 018840 Rev 1
31/78
6
Driving network modeling
In order to simulate, in Matlab environment, the self-oscillating resonant network driving the
bases of the complementary pair of bipolars in the eight different steady-state working
operation phases, a possible method may be to combine, with each other, the circuital
equations describing the working conditions of the devices in each stage so as to obtain
only one (differential) equation in the specific state variable VCn or VCp. For example, the
following circuital scheme can be taken as a reference to give a model of the NPN bipolar
during the conduction time in which the filter capacitor voltage is represented by an
independent voltage generator Vs.
Figure 20.
Driving network modeling for the NPN bipolar conduction phase simulation
By combining, with each other, the circuital equations of the previous
System of equations 3
, which describes the working conditions of the NPN bipolar during
the conduction time phase, it is possible to obtain the following second order linear
differential equation with constant coefficients on the state variable VCn valid on the (t2,t4)
time interval:
Equation 2
AM09811v1
VRs
IRs
VCn
VCp
ICn
ICp
IRb
VRb
IBnpn
ILP
Lp
VDD
Q1
Vs
Rs
Cn
Rb
Cp
ICnpn
IEnpn
VRs
IRs
VCn
VCp
ICn
ICp
IRb
VRb
IBnpn-on
Vs
Rs
Cn
Rb
Cp
VBEn-on
 
()
()
()
()
( )
()
()
()
()
t
V
dt
d
t
V
dt
d
V
V
t
V
k
t
V
dt
d
h
t
V
dt
d
m
BEn
B
S
B
BEn
S
Cn
Cn
Cn
2
2
⋅
τ
−
⋅
τ
+
−
=
⋅
+
⋅
+
⋅



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