AN3400 datasheet(32/78 Pages) STMICROELECTRONICS

32 / 78 page

Driving network modeling

AN3400

32/78

Doc ID 018840 Rev 1

in which:

System of equations 11

Two different conditions at the initial instant t2, respectively, one for the VCn voltage signal

and the other for its function derivative, are needed to impose in order to obtain one, and

only one, solution of the Equation 2, therefore solving the following Cauchy problem:

System of equations 12

As a consequence of the LC filtering action on the voltage signal at the output of the

secondary windings, Vs signal can be expressed, with a good approximation, as a

sinusoidal voltage generator having the below reported mathematical expression valid in the

entire time interval (t0, t12):

Equation 3

Then, imposing VBEn=VBEsat=constant for the NPN device base-emitter junction during its

conduction phase (that is

), it is possible to change the System of equations 12

into the form with

ω=2πf:

⋅

with

()

⋅

BEn

−

()

( )t

filter

−

()

( )

()

BEn

⋅

−

⋅

−

⋅

()

⎥⎦

⎤

⎢⎣

⎡

Cn t

S t

()

Asen 2

πft

()

⋅

with t

()

() 0

BEn

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