Analysis and Control of Chaos and Bifurcation in Power Electronic Control Systems

电力电子控制系统混沌与分岔的分析与控制

基本信息

批准号：
09650469
负责人：
KUROE Yasuaki
金额：
$ 2.05万
依托单位：
KYOTO INSTITUTE OF TECHNOLOGY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1997
资助国家：
日本
起止时间：
1997 至 1999
项目状态：
已结题

项目摘要

The purpose of this research project is to develop analysis and control methods of chaos and bifurcation phenomena in power electronic control systems. We developed several analytical and computer-aided methods for investigating the mechanisms of occurrence of chaos and bifurcation phenomena in power electronic systems.First a computer-aided method to determine stability of power electronic systems was developed. Second, we developed efficient computer algorithms to determine bifurcation values, that is, values of system parameters where bifurcations occur. The developed algorithms make it possible not only to check the stability of the systems but also to directly determine values of the system parameters which cause bifurcations or chaos in the systems. Third, the problem of operating mode analysis, which is a specific problem in power electronic circuits due to the switching behaviors of power semiconductor devices, was took up. We developed a general computer method for determining operating-mode boundaries on a parameter space of power electronic systems. In developing all the computer algorithms stated above, it becomes a key how to compute parameter sensitivities of the systems with reasonable accuracy and efficiency. For this purposed an efficient and accurate algorithm for computing those sensitivities was also developed. Furthermore we developed a simple and practical method to check stability of hybrid feedback systems with PFM (pulse frequency modulation) mechanisms.The methods and algorithms developed in this research project can be effective tools for investigating the causes of occurrence of chaos and bifurcation phenomena in power electronic systems and also can be utilized to determine control parameters that stabilize the systems.

该研究项目的目的是开发电力电子控制系统中混乱和分叉现象的分析和控制方法。我们开发了几种分析和计算机辅助方法，以研究电力电子系统中混乱和分叉现象的发生的机制。首先开发了一种计算机辅助方法来确定电力电子系统的稳定性。其次，我们开发了有效的计算机算法来确定分叉的分叉值，即发生分叉的系统参数的值。开发的算法不仅可以检查系统的稳定性，还可以直接确定系统参数的值，从而导致系统中的分叉或混乱。第三，由于功率半导体设备的开关行为而导致的电源电路中的操作模式分析问题已被占用。我们开发了一种通用计算机方法，用于确定电源电子系统参数空间上的操作模式边界。在开发上述所有计算机算法时，它成为如何以合理的准确性和效率来计算系统敏感性的关键。为此，还开发了一种用于计算这些敏感性的有效，准确的算法。此外，我们开发了一种简单且实用的方法，以检查使用PFM（脉冲频率调制）机制的混合反馈系统的稳定性。该研究项目中开发的方法和算法可以是研究混乱和分化现象的原因的有效工具电子系统，还可以用于确定稳定系统的控制参数。