本文關(guān)鍵詞： 雙緣調(diào)制 數(shù)字控制 離散迭代映射模型 動(dòng)力學(xué)行為 z域模型　出處：《西南交通大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

【摘要】：開關(guān)變換器的脈沖寬度調(diào)制(Pulse Width Modulation,PWM)可以分為單緣調(diào)制方式和雙緣調(diào)制方式�，F(xiàn)有文獻(xiàn)中多數(shù)采用的PWM方式為單緣調(diào)制,較少使用雙緣調(diào)制;雙緣調(diào)制方式不僅具有單緣調(diào)制的優(yōu)點(diǎn),而且避開了單緣調(diào)制的缺點(diǎn)。因此,研究不同的PWM方式對(duì)開關(guān)變換器性能的影響具有重要意義。以Buck變換器為例,將雙緣調(diào)制與數(shù)字電壓型控制結(jié)合,本論文研究了雙緣調(diào)制數(shù)字電壓型控制開關(guān)變換器的穩(wěn)定性,建立其相應(yīng)的離散映射模型,使用數(shù)值仿真,研究了系統(tǒng)的非線性動(dòng)力學(xué)行為。通過分岔圖,觀察到雙緣調(diào)制數(shù)字電壓型控制Buck變換器中存在兩種相似而不相同的Hopf分岔現(xiàn)象,并通過時(shí)域波形和龐加萊截面對(duì)這兩種現(xiàn)象進(jìn)行了詳細(xì)分析。推導(dǎo)了系統(tǒng)的雅克比矩陣,觀察其特征值穿過單位圓的位置和方向均不同,從理論上分析了兩種Hopf分岔的差異性。此外,還發(fā)現(xiàn)了雙緣調(diào)制數(shù)字電壓型控制Buck變換器存在從周期一跳變到周期三的奇數(shù)倍周期分岔現(xiàn)象;通過時(shí)域波形和相軌圖的仿真和實(shí)驗(yàn),驗(yàn)證了奇數(shù)倍周期分岔現(xiàn)象的存在性。將PWM技術(shù)進(jìn)行歸一化分析,研究了基于歸一化PWM技術(shù)的數(shù)字電壓型控制開關(guān)變換器的穩(wěn)定性。建立系統(tǒng)的離散映射模型,通過數(shù)值仿真和時(shí)域仿真,觀察到Hopf分岔和倍周期分岔現(xiàn)象,分析了調(diào)制方式對(duì)系統(tǒng)穩(wěn)定性的影響。建立了系統(tǒng)的閉環(huán)z域傳遞函數(shù),并通過求解特征方程,得到系統(tǒng)的特征值,從理論上證明了 Hopf分岔和倍周期分岔的存在性。推導(dǎo)了穩(wěn)定性邊界的數(shù)學(xué)解析式,根據(jù)數(shù)學(xué)解析式,繪制出變換器的狀態(tài)域分布圖。根據(jù)解析式和狀態(tài)域分布圖,從理論上分析了調(diào)制方式對(duì)變換器工作穩(wěn)定性的影響,并且得到了關(guān)于調(diào)制波參數(shù)以及PI參數(shù)的穩(wěn)定調(diào)節(jié)范圍。推導(dǎo)的理論解析式和繪制的狀態(tài)域分布圖,對(duì)于指導(dǎo)電路參數(shù)的選擇和設(shè)計(jì)具有重要指導(dǎo)意義。最后,將雙緣調(diào)制方式與雙環(huán)電壓型控制結(jié)合,研究了開關(guān)變換器的雙緣調(diào)制數(shù)字均值電壓控制技術(shù),分析其工作原理,推導(dǎo)了相應(yīng)的占空比算法。建立了系統(tǒng)的閉環(huán)z域傳遞函數(shù),通過求解傳遞函數(shù)的特征值,判斷特征值與單位圓的位置關(guān)系,進(jìn)而分析輸出電容等效串聯(lián)電阻對(duì)于系統(tǒng)穩(wěn)定性的影響。通過電路仿真,對(duì)比數(shù)字均值電壓、數(shù)字峰值電壓、數(shù)字均值電流和數(shù)字電壓型等四種控制方法,數(shù)字均值電壓控制具有更好的負(fù)載瞬態(tài)特性,以及良好的輸出電壓穩(wěn)態(tài)精度。在占空比D0.5時(shí),數(shù)字均值電壓控制不存在次諧波振蕩現(xiàn)象,具有更好的穩(wěn)定性。
[Abstract]:Pulse Width Modulation (PWM) of switching converter can be divided into single edge modulation and double edge modulation. Dual edge modulation not only has the advantages of single edge modulation, but also avoids the disadvantages of single edge modulation. Therefore, it is important to study the effect of different PWM modes on switching converter performance. Taking Buck converter as an example, Combining double edge modulation with digital voltage mode control, this paper studies the stability of double edge modulation digital voltage mode control switching converter, establishes its corresponding discrete mapping model, and uses numerical simulation. The nonlinear dynamic behavior of the system is studied. By means of bifurcation diagram, it is observed that there are two similar and different Hopf bifurcation phenomena in digital voltage-mode controlled Buck converters with double margin modulation. The two phenomena are analyzed in detail by time domain waveform and Poincare cross section. The Jacobian matrix of the system is derived, and the position and direction of the eigenvalues passing through the unit circle are observed to be different. The difference between the two Hopf bifurcations is analyzed theoretically. In addition, it is found that the double edge modulation digital voltage-mode controlled Buck converters have odd period doubling bifurcation from period one jump to period 3. The existence of odd periodic bifurcation is verified by the simulation and experiment of time domain waveform and phase rail diagram. The PWM technique is used to normalize the analysis. The stability of digital voltage-source controlled switching converter based on normalized PWM technology is studied. The discrete mapping model of the system is established. Through numerical simulation and time domain simulation, the phenomena of Hopf bifurcation and period doubling bifurcation are observed. The effect of modulation mode on the stability of the system is analyzed. The closed-loop Z domain transfer function of the system is established, and the eigenvalue of the system is obtained by solving the characteristic equation. The existence of Hopf bifurcation and period doubling bifurcation is proved theoretically, and the mathematical analytical formula of stability boundary is derived. According to the mathematical analytic formula, the state domain distribution diagram of the converter is drawn. The influence of modulation mode on the stability of the converter is analyzed theoretically, and the stable range of modulation wave parameters and Pi parameters are obtained. It is of great significance to guide the selection and design of circuit parameters. Finally, combining dual-edge modulation with double-loop voltage mode control, the digital mean voltage control technology of switching converter is studied, and its working principle is analyzed. The corresponding duty cycle algorithm is derived, and the closed loop z domain transfer function of the system is established. By solving the eigenvalue of the transfer function, the position relationship between the eigenvalue and the unit circle is determined. Then the effect of output capacitance equivalent series resistance on system stability is analyzed. Through circuit simulation, four control methods, digital mean voltage, digital peak voltage, digital mean current and digital voltage source, are compared. The digital mean voltage control has better load transient characteristics and better output voltage steady-state accuracy. When the duty cycle is D0.5, the digital mean voltage control has no sub-harmonic oscillation phenomenon and has better stability.
【學(xué)位授予單位】：西南交通大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TM46

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 HE Shengzhong;XU Jianping;ZHOU Guohua;BAO Bocheng;YAN Tiesheng;;Stability Control and Mode Shift of Ramp Compensation in V~2 Controlled Buck Converter[J];Chinese Journal of Electronics;2015年02期

2 周國華;許建平;;開關(guān)變換器調(diào)制與控制技術(shù)綜述[J];中國電機(jī)工程學(xué)報(bào);2014年06期

3 吳松榮;何圣仲;許建平;周國華;王金平;;電壓型雙頻率控制開關(guān)變換器的動(dòng)力學(xué)建模與多周期行為分析[J];物理學(xué)報(bào);2013年21期

4 包伯成;楊平;馬正華;張希;;電路參數(shù)寬范圍變化時(shí)電流控制開關(guān)變換器的動(dòng)力學(xué)研究[J];物理學(xué)報(bào);2012年22期

5 王發(fā)強(qiáng);張浩;馬西奎;;Period-doubling bifurcation in two-stage power factor correction converters using the method of incremental harmonic balance and Floquet theory[J];Chinese Physics B;2012年02期

6 周國華;包伯成;許建平;金艷艷;;Dynamical analysis and experimental verification of valley current controlled buck converter[J];Chinese Physics B;2010年05期

7 周國華;許建平;金艷艷;;非對(duì)稱三角后緣調(diào)制數(shù)字V~2控制Buck變換器分析[J];中國電機(jī)工程學(xué)報(bào);2009年33期

8 張笑天;馬西奎;張浩;;數(shù)字控制DC-DC Buck變換器中低頻振蕩現(xiàn)象分析[J];物理學(xué)報(bào);2008年10期

9 王學(xué)梅;張波;丘東元;;不連續(xù)導(dǎo)電模式DC-DC變換器的倍周期分岔機(jī)理研究[J];物理學(xué)報(bào);2008年05期

10 王發(fā)強(qiáng);張浩;馬西奎;;單周控制Buck變換器中的降頻現(xiàn)象分析[J];物理學(xué)報(bào);2008年05期

相關(guān)博士學(xué)位論文 前3條

1 周國華;基于紋波的開關(guān)功率變換器控制技術(shù)及其動(dòng)力學(xué)行為研究[D];西南交通大學(xué);2011年

2 賀明智;數(shù)字控制開關(guān)DC-DC變換器瞬態(tài)特性的研究[D];西南交通大學(xué);2008年

3 王鳳巖;快速瞬態(tài)響應(yīng)電壓調(diào)節(jié)器控制方法的研究[D];西南交通大學(xué);2005年

相關(guān)碩士學(xué)位論文 前2條

1 金艷艷;開關(guān)電源脈沖頻率調(diào)制數(shù)字V~2控制技術(shù)研究[D];西南交通大學(xué);2011年

2 周濤;高頻開關(guān)電源數(shù)字控制技術(shù)研究[D];西南交通大學(xué);2006年

，

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