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首页> 外文期刊>International journal of bifurcation and chaos in applied sciences and engineering >Modeling, Dynamics, Bifurcation Behavior and Stability Analysis of a DC-DC Boost Converter in Photovoltaic Systems
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Modeling, Dynamics, Bifurcation Behavior and Stability Analysis of a DC-DC Boost Converter in Photovoltaic Systems

机译：光伏系统中DC-DC Boost变换器的建模，动力学，分叉行为和稳定性分析

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摘要

A study of a DC-DC boost converter fed by a photovoltaic (PV) generator and supplying a constant voltage load is presented. The input port of the converter is controlled using fixed frequency pulse width modulation (PWM) based on the loss-free resistor (LFR) concept whose parameter is selected with the aim to force the PV generator to work at its maximum power point. Under this control strategy, it is shown that the system can exhibit complex nonlinear behaviors for certain ranges of parameter values. First, using the nonlinear models of the converter and the PV source, the dynamics of the system are explored in terms of some of its parameters such as the proportional gain of the controller and the output DC bus voltage. To present a comprehensive approach to the overall system behavior under parameter changes, a series of bifurcation diagrams are computed from the circuit-level switched model and from a simplified model both implemented in PSIM (c) software showing a remarkable agreement. These diagrams show that the first instability that takes place in the system period-1 orbit when a primary parameter is varied is a smooth period-doubling bifurcation and that the nonlinearity of the PV generator is irrelevant for predicting this phenomenon. Different bifurcation scenarios can take place for the resulting period-2 subharmonic regime depending on a secondary bifurcation parameter. The boundary between the desired period-1 orbit and subharmonic oscillation resulting from period-doubling in the parameter space is obtained by calculating the eigenvalues of the monodromy matrix of the simplified model. The results from this model have been validated with time-domain numerical simulation using the circuit-level switched model and also experimentally from a laboratory prototype. This study can help in selecting the parameter values of the circuit in order to delimit the region of period-1 operation of the converter which is of practical interest in PV systems.
机译：提出了对由光伏（PV）发电机供电并提供恒定电压负载的DC-DC升压转换器的研究。转换器的输入端口使用基于无损电阻（LFR）概念的固定频率脉冲宽度调制（PWM）控制，其选择参数的目的是强制PV发电机在其最大功率点工作。在这种控制策略下，表明对于某些参数值范围，系统可以表现出复杂的非线性行为。首先，使用转换器和PV电源的非线性模型，根据其某些参数（例如控制器的比例增益和输出直流母线电压）探索系统的动力学。为了提供一种针对参数变化下的整体系统行为的综合方法，从电路级开关模型和简化模型中计算出一系列分叉图，二者均在PSIM（c）软件中实现，显示出显着的一致性。这些图表明，当主要参数发生变化时，发生在系统周期1轨道上的第一个不稳定性是平滑的周期加倍分叉，并且PV发电机的非线性与预测此现象无关。取决于次级分叉参数，对于所得的周期2次谐波形式，可能发生不同的分叉情况。通过计算简化模型的单峰矩阵的特征值，可以获得所需的周期1轨道与参数空间中周期加倍导致的次谐波振荡之间的边界。该模型的结果已通过使用电路级开关模型的时域数值仿真进行了验证，并且已通过实验室原型进行了实验验证。这项研究可以帮助选择电路的参数值，以界定转换器的1期工作区域，这在PV系统中具有实际意义。

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