BUCK DC/DC变换器分岔和混沌的精确离散模型及实验研究

用数学模型精确地描述以及用实验验证DC／DC变换器的分岔和混沌现象一直具有较大的难度，从而导致以往理论研究结果的真实性受到质疑。为此该文以Buck DC／DC变换器为具体研究对象，提出其分岔和混沌分析精确离散建模方法，建立了它的精确离散数学模型。基于此模型进一步分析Buck DC／DC变换器分岔稳定性和混沌特性，改进了现有近似的模型的研究结果。同时文中还进行了丰富的实验研究，证实了该文精确数学模型的正确性，并实际展现了Buck DC／DC变换器从分岔至混沌演化的全过程。该文的研究方法也为其它DC／DC变换器的分岔和混沌现象提供了理论和实验基础，具有一般性意义。

STUDY ON THE EXPERIMENT AND THE PRECISE DISCRETE MODEL OF BIFURCATION AND CHAOS FOR BUCK DC/DC CONVERTER

It has been difficult to describe and verify precisely the bifurcation and chaotic phenomena of DC/DC converters by the mathematic models and experiments, which results in the existed theoretical research to be distrusted. Therefore, this paper develops a method for establishing the precise discrete model of bifurcation and chaos in Buck DC/DC converter , and obtains its precise discrete mathematic model. Based on the model, Chaotic characteristics and bifurcation stability of Buck DC/DC converter are analyzed further, which improves the research results of the existed approximate model. On the other hand, this paper carries out rich experimental researches, which verify the precise discrete model to be accurate, and show the process from bifurcation to chaos of Buck DC/DC converter. Otherwise the research methods obtained in the paper provide the theoretical and experimental basics for analyzing the bifurcation and chaos in other DC/DC converters, this will process general significance.