Application of Random and Chaotic Phenomena to Power Electronics

本研究的目的是建立一种随机开关控制方法，从而扩展开关噪声频谱并降低其电平。在该方法中，利用随机信号使切换周期变得不规则。这导致噪声频谱的峰值电平降低。以混沌信号作为随机信号，得到了如下几个结果：1.对随机开关控制DC-DC转换器的噪声频谱进行了分析和实验验证。该方法有效地降低了开关噪声的高次谐波峰值。该控制方法应用于荧光灯用逆变器和开关模式整流器。并通过实验观察了它们的降噪效果。2.研究了随机信号发生器的设计。通过分段线性马尔可夫映射显示混沌信号作为随机信号的有效性。该噪声发生器很容易由开关电容电路实现。3.当高频扰动渗透到谐振开关变流器中时，观察到该变流器中出现了不稳定的混沌振荡。对这一现象进行了分析和实验验证。

The aim of this research is to establish the method of random switching control by which the switching noise spectrum is spread and its level is reduced. In this method, random signals are used to make switching period irregular. This results in the reduction of the peak level of the noise spectrum. A chaotic signal is used as a random signal.Several results are obtained as follows :1.The noise spectrum of the DC-to-DC converter with random switching control is analyzed and confirmed experimentally. The peak levels of higher-ordered harmonics of switching noise are reduced effectively by this method. The control method is applied to a inverter for a fluorescent lamp and a switched mode rectifier. The noise reduction of them are also observed experimentally.2.Design of a random signal generator is investigated. Effectiveness of a chaotic signal as a random signal shown through piecewise-linear Markov maps. The noise generator is easily realized by a switched-capacitor circuit.3.Unstable chaotic oscillation is abserved in a resonant switching converter when high-frequency disturbances penetrate into the converter. The phenomenon is analyzed and confirmed experimentally.