DC-DC變換器論文：DC-DC變換器中的混沌及其控制研究

1、DC-DC 變換器論文：DC-DC 變換器中的混沌及其控制研究【中文摘要】DC-DC 變換器是功率電子學(xué)中的一個重要組成部分，屬于強(qiáng)非線性時變系統(tǒng)。在其傳統(tǒng)研究歷程中，人們很少涉及到其中 的非線性現(xiàn)象的研究。但在實際的變換器設(shè)計過程中，有時會發(fā)現(xiàn)一些非正?，F(xiàn)象，例如輸出電壓的周期和幅度不固定；發(fā)出刺耳的噪聲 等，這些現(xiàn)象都預(yù)示著可能會有混沌存在其中。由于混沌態(tài)是一種不 穩(wěn)定狀態(tài),其不確定性將導(dǎo)致系統(tǒng)的運行出現(xiàn)類隨機(jī)的現(xiàn)象，影響變 換器的控制性能，甚至導(dǎo)致變換器完全不能工作，所以研究變換器中 的混沌及其控制方法有助于我們在設(shè)計中避開或者消除這種現(xiàn)象，使變換器工作于穩(wěn)定的周期，這對于正確設(shè)計和調(diào)試

2、開關(guān)電源都具有重 要的指導(dǎo)意義。本文首先回顧了混沌及其控制研究的發(fā)展歷史和國內(nèi) 外有關(guān)電子電路中非線性現(xiàn)象研究的發(fā)展現(xiàn)狀，研究了關(guān)于變換器的 分岔和混沌理論，針對應(yīng)用較廣泛的 Buck、Boost 電路的混沌現(xiàn)象進(jìn) 行了深入研究，分別建立了離散迭代映射數(shù)學(xué)模型，構(gòu)建了其連續(xù)模 式下的狀態(tài)空間方程。通過 Matlab 仿真,分別得出了其狀態(tài)變量時域 波形圖、相軌跡圖等，并以頻閃映射方法進(jìn)行編程，得到了其龐加萊截 面圖、分岔圖，揭示了 DC-DC 變換器隨著參數(shù)的變化由穩(wěn)態(tài)到分岔再 到混沌的過程，并指出了共存吸引子的區(qū)域。此外,通過精確的數(shù)值仿 真,對 Boost 電路中的周期三窗口、切分岔、陣發(fā)

3、混沌現(xiàn)象也進(jìn)行了 比較詳細(xì)的描述。本文對混沌狀態(tài)下的 DC-DC 變換器的控制進(jìn)行了分 析仿真,Buck 電路采用了DC-DC 變換器論文：DC-DC 變換器中的混沌及其控制研究微分電流負(fù)反饋控制的方法，成功地將電路的工作狀態(tài)穩(wěn)定在單周期、倍周期、4 周期軌道上：Boost 電路通過 利用對混沌動力系統(tǒng)增加一個具有分段二次函數(shù) x|x|形式的非線性 反饋控制器，很好地將周期軌道固定在 8 周期和 4 周期上。并分別給 出了這兩種方法在一定條件下的能控范圍。【英文摘要】DC-DCSwitching converter is an important part ofpower electr oni

4、 cs, bel onging to strong non li near time-varying systems.In the course of their traditional research, which rarely invo Ives the studyof non li near phenomena. However, in the actual design process of theswitchi ng conv erter, sometimes we would find a nu mber of non-normalphenomena, such as that

5、output voltage and magnitude is not fixed; bringabout harsh noise and so on, all these phenomenaindicates that theexistenee of chaos. Because chaos is a state as a result of in stability,the un certa inty will leadthe operati on of the system to phe nomena like Ran dom, which affectthe con trol perf

6、orma nee of conv erter, eve n lead to not working, thestudy of chaos in the switching converter and its control methods whichhave important guiding significance in the correct desig ning and debugging switchi ng conv erter will help us to avoid or elim in ate this phenomenon in the desig n, so that

7、the converter works in a stable cycle.Thispaper firstly reviews the history of the developme nt on the study of chaosand its con trol, and the releva nt non-li near phe nomena in electr oniccircuits, the n research on bifurcati on and chaos theory of the conv erters,and make a lot of in-depth study

8、of the chaos phe nomenon in the Buckand Boost circuit, the iterative discrete mapp ing model and state-spaceequati on on their continuous modeare builded up. Through simulation,their time-domain waveforms and phase trajectory mapare got, throughprogramming, their Poincare sections,bifurcationdiagram

9、 aregot respectively, the n the mutative process are revealed from stability tobifurcation to chaos in DC-DCconverters with the cha nge of parameters,and point out the regi on of coexist ing attractors. In additi on, throughaccurate simulatio n of the Boost circuit, we detail period-3 win dow,tangen

10、 tial bifurcati on and in termitte ncy chaos .In this paper, we analyzechaos con trol of DC-DC conv erters un der the chaotic state, usingdifferential current negative feedback control for Buck circuit, wesuccessfully fix the orbits on period-1, period-2, period-4 state; for Boostcircuit through adding a nonlinear feedback controller of piecewisequadratic function x|x| forms,t