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Period-bubbling and mode-locking instabilities in a full-bridge DC-AC buck inverter

机译:全桥DC-AC降压逆变器中的周期起泡和锁模不稳定性

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In this study, the non-linear dynamics of a full bridge DC-AC inverter controlled by fixed frequency pulse-width modulation which is widely used in solar energy systems is investigated. The main results are illustrated with the aid of time domain simulations obtained from an accurate non-linear time varying model of the system derived without making any quasi-static approximation. Results reveal that for high filter time-constants, the system loses stability via Hopf bifurcation and exhibits mode-locked periodic motion and for low filter time-constants, via period-doubling bifurcation resulting in period-bubbling structures and intermittent chaos. The mode-locked instability is also theoretically verified using Jacobian matrix derived from an averaged model and that of period-bubbling instability is verified using monodromy matrix based on Filippov's method of differential inclusions. Furthermore, extensive analyses are performed to study the mechanism of the emergence of intermittency and remerging chaotic band attractors (or Feigenbaum sequences) for variation in filter parameters and to demarcate the bifurcation boundaries. Phase portraits and Poincaré sections before and after the bifurcations are shown. Experimental results are also provided to confirm the observed bifurcation scenario.
机译:在这项研究中,研究了在太阳能系统中广泛使用的由固定频率脉宽调制控制的全桥DC-AC逆变器的非线性动力学特性。借助于时域仿真来说明主要结果,该时域仿真是从系统的精确非线性时变模型获得的,而无需进行任何准静态逼近。结果表明,对于高滤波器时间常数,系统会因Hopf分叉而失去稳定性,并表现出锁模的周期性运动;对于低滤波器时间常数,系统会因倍增周期而产生周期性气泡结构和间歇性混乱。锁模不稳定性在理论上也使用平均模型得出的雅可比矩阵进行了验证,而周期冒泡的不稳定性使用基于Filippov微分包含方法的单峰矩阵进行了验证。此外,进行了广泛的分析,以研究出现间歇性和重新融合混沌带状吸引子(或Feigenbaum序列)的机制,以改变过滤器参数并划定分叉边界。显示了分叉前后的相像和Poincare截面。还提供实验结果以确认观察到的分叉情况。

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