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AN3400 датащи(PDF) 31 Page - STMicroelectronics |
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AN3400 датащи(HTML) 31 Page - STMicroelectronics |
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31 / 78 page ![]() 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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