AN3400 datasheet(31/78 Pages) STMICROELECTRONICS

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AN3400

Driving network modeling

Doc ID 018840 Rev 1

31/78

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

VDD

ICnpn

IEnpn

VRs

IRs

VCn

VCp

ICn

ICp

IRb

VRb

IBnpn-on

VBEn-on

()

( )

()

BEn

⋅

−

⋅

−

⋅

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