Stroboscopic Mapping Model Of Boost Converter And Its Nonlinear Behavior Analysis And Control

Power electronic system, which falls within the typical nonlinear system, contains a great deal of switching devices. In some conditions, a series of nonlinear dynamics behaviors, such as chaos and bifurcation, will appear in the system, which will seriously affect its security and stability. Therefore, research of its chaotic phenomena has important realistic significance. All kinds of power converter are the core of a power electronic system, thus its stability directly determines the overall performance of the system. In this paper, the Boost DC/DC converter is researched, it uses the stroboscopic map discrete model to analysis of its nonlinear behavior, and keeps control and anti control of Boost converter. The main contents of the thesis are as follows:(1) Combined with the existing methods of the discrete model, the paper put forward the general steps of building power converter discrete model, established the stroboscopic map discrete model of the current mode and voltage mode Boost converter for CCM and DCM. And it has done some improvements in the process of modeling as follows: 1) Put the calculations, generally in the time domain, into the frequency domain, which greatly simplifies the computation. 2) Adding some constraints for the stroboscopic traditional mapping model, so as to solve the possible skip cycle problems which the stroboscopic traditional mapping model cannot correctly reflect.(2) It has done an in-depth study of chaotic phenomena for the Boost converter. The nonlinear behavior of voltage mode Boost converter on DCM and current mode Boost converter on CCM are mainly researched. Determined the system stability domain under different parameters by theoretical analysis. Verified by simulation of accurate piecewise smooth model and stroboscopic map discrete model. Detailed display of the system state changes near the bifurcation point, and this profoundly reveals the route to chaos for converter.(3) It have made a chaotic control and anti-control for chaotic phenomena of current Mode Boost Converter on CCM. Controlled the contemporary mode Boost Converter by the method of improved resonant parametric perturbation, and this minimized the disturbance signal to the system. Finally, put the resonant parametric perturbation into the anti-control, let system quick guide from the steady to the chaos, and through simulation to confirm the effectiveness of the proposed method.