Relationship of Fast- and Slow-Scale Instabilities in Switching Circuit with Multiple Inputs
Relationship of Fast- and Slow-Scale Instabilities in Switching Circuit with Multiple Inputs
复制标题
多输入开关电路中快、慢尺度不稳定性的关系
DOI：
10.1002/cta.2297
复制
发表时间：
2016
影响因子：
2.3
通讯作者：
T. Kousaka
中科院分区：
文献类型：
--
作者：
H. Asahara;S. Banerjee;T. Kousaka
功率转换器电路，例如电流控制或电压控制转换器和逆变器，通常在控制器中具有多个输入。多个输入导致高频和低频振荡。在早期的研究中，已经研究了快尺度和慢尺度动力学中的电路特性。然而，在许多情况下，具有多个输入的电路具有三维或多维拓扑结构，这使得详细分析变得困难。在本文中，我们分析了一个简单的中断电路，以了解快尺度和慢尺度动力学的基本特征。这种简单的中断电路的优点是可以导出一维映射，这有利于严格的研究。基于返回映射和特征乘子的结构，我们解释了系统的特性。我们报告的干草叉，倍周期，边界碰撞分岔在慢尺度和倍周期分岔在快尺度的发生。我们发现，在快尺度动力学中出现的局部分叉不会显著影响系统的全局行为，而在慢尺度动力学中的不稳定性强烈影响系统的行为。版权所有© 2016约翰威利父子有限公司.
Power converter circuits, such as current‐controlled or voltage‐controlled converters and inverters often have multiple inputs in the controller. The multiple inputs cause high‐frequency and low‐frequency oscillations. In earlier studies, the characteristics of circuits in fast‐scale and slow‐scale dynamics have been investigated. However, in many cases, circuits with multiple inputs have three or more dimensional topology which makes detailed analysis difficult. In this paper, we analyze a simple interrupted electric circuit in order to understand essential characteristics of fast‐scale and slow‐scale dynamics. The advantage of this simple interrupted circuit is that it is possible to derive a 1‐dimensional map, which facilitates rigorous studies. Based on the structure of the return map and the characteristic multiplier, we explain the characteristics of the system. We report the occurrence of pitchfork, period doubling, and border collision bifurcations in slow scale, and period doubling bifurcation in fast scale. We found that local bifurcation, which appears in fast‐scale dynamics, does not significantly affect the global behavior of the system while instabilities in the slow‐scale dynamics strongly affect the system behavior. Copyright © 2016 John Wiley & Sons, Ltd.