基于开关电感结构的混合升压变换器非线性现象研究

将开关电感结构嵌入到传统Boost变换器中可以显著提高Boost变换器的电压传输比, 同时减少开关器件的电流应力, 降低损耗, 提高效率, 具有广阔的应用前景. 本文首次研究了基于开关电感结构的混合升压变换器的分岔和混沌现象, 导出了连续电流模式下的离散迭代映射模型, 采用分岔图分析了电路参数对系统性能的影响, 发现此变换器不仅发生了倍周期分岔、边界碰撞分岔、切分岔和阵发混沌, 还存在一种特殊的现象: 随着电容C和电感L₂的减小, 电路的运行状态并非严格经历1倍周期、2倍周期和4倍周期, 而是在4倍周期期间发生了分岔轨迹相交的情况, 在相交的一点, 变换器工作于周期3. 最后通过典型的时域波形和相轨图验证了这种特殊现象的存在. 研究结果表明, 当电路参数变化时, 基于开关电感结构的混合升压变换器比传统低维Boost变换器具有更加复杂、多样化的非线性现象. 关键词： 开关电感 混合升压变换器 离散迭代映射 混沌     

峰值电流控制型功率因数校正Boost变换器的分岔行为

分析了电流控制型功率因数校正Boost变换器的分岔行为，包括了高频不稳定现象和低频分岔。电流连续导通模式下进行的功率因数校正变换器分析阻碍了对这种变换器全部动力学特性的认识。功率因数校正变换器可能会工作于电流断续导通模式，特别是在轻载的情况下这种现象更明显。因此，本文使用电流断续导通模型来分析可能工作在电流断续导通状态下功率因数校正变换器，得到了变换器的低频分岔图，使得变换器经历倍周期分岔通向混沌途径更加清楚。对于负载电阻和输出电容的分岔图也说明了变换器的稳定工作边界，这些对变换器的设计是十分有用的。     

基于共振参数微扰法的SEPIC变换器的混沌控制

本文以SEPIC变换器中前置电感电流为控制对象, 采用共振参数微扰法对电流模式控制SEPIC 变换器中的混沌现象进行控制. 该方法通过对电路参数的微小扰动实现了对SEPIC变换器中混沌现象的控制, 并通过时域波形、功率谱及分岔图等对结果进行了分析. 最后实验结果表明, 以前置电感电流为控制对象, 利用共振参数微扰法可以实现SEPIC变换器的混沌控制. 关键词： SEPIC变换器 混沌 混沌控制 共振参数微扰     

电压型双频率控制开关变换器的动力学建模与多周期行为分析

在断续导电模式下, 建立了电压型双频率控制开关变换器的动力学模型, 并推导了相应的特征值方程. 根据动力学模型, 采用分岔图研究了电路参数变化时变换器存在的边界碰撞分岔行为和周期2, 周期3,周期4等多周期行为, 结果表明: 变换器经历了周期1态、多周期态、周期1态的分岔路由; 周期态的转变均是由边界碰撞分岔引起的. 根据特征值方程, 采用Lyapunov指数研究了变换器的稳定性, 结果表明: 随着电路参数的变化, Lyapunov指数始终小于零, 变换器一直工作于稳定的周期态, 验证了电压型双频率控制开关变换器的周期3行为并不意味着变换器会必然发生混沌. 通过电路仿真, 分析了负载变化时变换器的时域波形、相轨图和频谱图, 验证了动力学模型的可行性和理论分析的正确性. 实验结果验证了文中的仿真结果. 关键词： 开关变换器 双频率控制 边界碰撞分岔 多周期行为     

峰值电流模式控制同步开关Z源变换器的动力学研究

Z源变换器由于Z源网络的嵌入,具有高电压传输比,降低开关器件损耗,提高系统效率等优点,在直流变换、逆变等许多领域具有广泛的应用.本文研究了基于峰值电流模式控制的同步开关Z源变换器的非线性动力学,建立了连续电流模式下同步开关Z源变换器的离散迭代映射模型;通过特征值的运动轨迹分析了参考电流对系统稳定性的影响,给出了系统稳定运行的参数域;基于分岔图和Lyapunov指数图发现了此变换器存在倍周期分岔、边界碰撞分岔、切分岔和阵发混沌,分析了边界碰撞分岔和混沌演化过程及其产生的机理;最后通过电路仿真和实验验证了理论分析的正确性.研究结果表明:随着参考电流的增加,峰值电流模式控制同步开关Z源变换器从周期1经历倍周期分岔进入周期2和周期4,然后由于边界碰撞分岔过渡到阵发混沌态,接着通过切分岔进入周期3,最后再次由于边界碰撞分岔进入混沌态.     

电流控制二次型Boost变换器的动力学研究

通过对二次型Boost变换器开关状态的完整描述, 推导了两个电感电流边界, 建立了电流控制二次型Boost变换器的分段光滑迭代映射模型. 对比分析了以输入电感电流或储能电感电流作为电流反馈量的非线性分岔行为. 通过稳定性和工作模式分析, 得到了电流控制二次型Boost变换器从稳定的周期1工作状态到次谐波振荡状 态转移以及从电感电流不连续导电模式到连续导电模式转移的条件, 并采用参数空间映射图, 对二次型Boost变换器的工作状态域进行了估计. 设计了实验电路, 由实验结果证明了不同的参数变化有着不同的分岔路由, 存在工作模式转移现象, 电流控制二次型Boost 变换器呈现复杂的动力学行为, 实验结果验证了理论分析的正确性. 关键词： 二次型Boost变换器 开关状态 模式转移 边界碰撞分岔     

V2控制Buck变换器等效建模与分岔分析

通过对V²控制Buck变换器电路进行降阶处理, 利用不同工作模式, 推导了两个边界电压, 建立了V²控制Buck变换器的等效一阶同步映射迭代模型, 研究了它的非线性分岔行为. 通过稳定性和工作模式分析, 推导了V²控制Buck变换器从稳定的周期1工作状态到次谐波振 荡状态转移以及从电感电流不连续导电模式 (DCM) 到连续导电模式 (CCM) 转移的条件. 研究结果表明, 当电路参数变化时, V²控制Buck 变换器发生了倍周期分岔和边界碰撞分岔, 不同的参数变化有着不同的分岔路由. 搭建了仿真和实验电路, 仿真和实验结果验证了等效迭代模型的有效性和理论分析的正确性. 关键词： 2控制')" href="#">V²控制 迭代模型 分岔 工作模式     

电感电流伪连续导电模式下Buck变换器的动力学建模与分析

以电感电流伪连续导电模式(pseudo-continuous conduction mode, PCCM)下Buck变换器为例, 通过对开关变换器的开关模态的完整描述, 建立了PCCM Buck变换器的精确离散时间模型. 基于该模型, 研究了PCCM Buck变换器在负载电阻、电感等效串联电阻、电感、电容、参考电流和输入电压等电路参数变化时的分岔行为, 并揭示了变换器存在的次谐波振荡、倍周期分岔和混沌等复杂动力学行为. 基于分段光滑开关模型的数值仿真, 得到变换器在不同负载电阻下的时域波形图和相轨图, 验证了离散时间模型的正确性. 理论分析和仿真结果表明: PCCM Buck变换器更适合工作在轻载条件, 加大负载会导致变换器工作状态的失稳以及工作模式的转移; 电感的等效串联电阻对变换器稳定性具有一定程度的影响, 且等效串联电阻越大, 变换器越稳定. 研究结果对于设计与控制PCCM Buck变换器具有重要意义.     

多频率控制开关变换器的自相似和混频现象分析

在多频率控制开关变换器的工作原理及状态方程的基础上,建立了多频率控制断续导电模式开关变换器的离散迭代映射模型,并推导了相应的特征值方程和Lyapunov指数.根据离散迭代映射模型,对多频率控制开关变换器进行了分岔分析.结果表明:在电路参数变化时,变换器存在边界碰撞分岔行为和多周期行为;当误差界限电压较大时,变换器表现出自相似现象,而当误差界限电压较小时,变换器则表现出混频现象.采用Lyapunov指数研究了变换器的稳定性,验证了分岔分析的正确性.经过电路仿真,进一步分析了负载变化时变换器的时域波形和相轨图,并验证了离散迭代映射模型的有效性和理论分析的正确性.最后通过实验结果验证了文中的仿真结果.     

不连续导电模式DC-DC变换器的倍周期分岔机理研究

根据一般迭代映射的倍周期分岔定理,从数学上论证了电压型不连续导电模式(DCM) Boost和Buck变换器中倍周期分岔现象产生条件,由此揭示了DC-DC变换器中倍周期分岔现象发生的机理,完善了该类变换器倍周期分岔分析的理论和方法. 关键词： 倍周期分岔 迭代映射 Lyapunov 指数 施瓦茨导数     

Intermittency and bifurcation in SEPICs under voltage-mode control

A stroboscopic map for voltage-controlled single ended primary inductor converter (SEPIC) with pulse width modulation (PWM) is presented, where low-frequency oscillating phenomena such as quasi-periodic and intermittent quasi-periodic bifurcations occurring in the system are captured by numerical and experimental methods. According to bifurcation diagrams and nonlinear dynamical theory, the characteristics of the low-frequency oscillation and the mechanism for the appearance of the low-frequency oscillation are investigated. It is shown that as the controller parameter varies, the change in the conduction mode takes place from the continuous conduction mode (CCM) under the originally stable period one and high periodic orbits to the intermittent changes between CCM and discontinuous conduction mode (DCM), which may be related to the losing stability of the system and brought the system to exhibiting low-frequency oscillating behaviour in the time domain. Moreover, the occurrence of the intermittent quasi-periodic oscillation reflects that the system undergoes a Neimark--Sacker bifurcation.     

Fast-scale border collision bifurcation in SEPIC power factor pre-regulators

In this paper we report a kind of fast-scale instability occurring in the single-ended primary inductance converter （SEPIC） power factor pre-regulator, which is designed to operate in discontinuous conduction mode. Main results are given by exact cycle-by-cycle computer simulations as well as theoretical analysis. It is found that the instability phenomenon manifests itself as a fast-scale bifurcation at the switching period, which implies the occurrence of border collision bifurcation, or is related to the transition of the regular operating mode of the SEPIC. According to the theoretical analysis and simulation results, the effects of parameters on system stability, and the locations of the bifurcation points are confirmed. Moreover, the effects of such an instability on power factor and switching stress are also discussed. Finally, the occurrence of the asymmetric bifurcation locations is investigated. The results show that this work provides a convenient means of predicting stability boundaries which can facilitate the selection of the practical parameters.     

Dynamics and stabilization of peak current-mode controlled buck converter with constant current load

The discrete iterative map model of peak current-mode controlled buck converter with constant current load(CCL),containing the output voltage feedback and ramp compensation, is established in this paper. Based on this model the complex dynamics of this converter is investigated by analyzing bifurcation diagrams and the Lyapunov exponent spectrum. The effects of ramp compensation and output voltage feedback on the stability of the converter are investigated. Experimental results verify the simulation and theoretical analysis. The stability boundary and chaos boundary are obtained under the theoretical conditions of period-doubling bifurcation and border collision. It is found that there are four operation regions in the peak current-mode controlled buck converter with CCL due to period-doubling bifurcation and border-collision bifurcation. Research results indicate that ramp compensation can extend the stable operation range and transfer the operating mode, and output voltage feedback can eventually eliminate the coexisting fast-slow scale instability.     

DC-DC变换器的信息熵分析

为确定不同反馈系数k下DC-DC变换器系统的行为,结合系统处于周期状态时的稳定性和系统处于混沌时不会重复经过每一点的特点,提出了一种采用极限思想和信息熵来估计DC-DC变换器非线性行为的方法.该方法能准确分析系统处于周期状态和混沌状态的熵值,量化了DC-DC变换器倍周期分叉和混沌行为.以一阶电压反馈DCM Boost变换器和DCM Buck变换器为例进行仿真.研究结果表明,所提出的信息熵可以准确反映分叉点、周期数及产生混沌的位置,完善了该类变换器非线性动力学分析的理论和方法.     

Bifurcation and chaos in high-frequency peak current mode Buck converter

Bifurcation and chaos in high-frequency peak current mode Buck converter working in continuous conduction mode(CCM) are studied in this paper. First of all, the two-dimensional discrete mapping model is established. Next, reference current at the period-doubling point and the border of inductor current are derived. Then, the bifurcation diagrams are drawn with the aid of MATLAB. Meanwhile, circuit simulations are executed with PSIM, and time domain waveforms as well as phase portraits in i_L–v_C plane are plotted with MATLAB on the basis of simulation data. After that, we construct the Jacobian matrix and analyze the stability of the system based on the roots of characteristic equations. Finally, the validity of theoretical analysis has been verified by circuit testing. The simulation and experimental results show that,with the increase of reference current I_(ref), the corresponding switching frequency f is approaching to low-frequency stage continuously when the period-doubling bifurcation happens, leading to the converter tending to be unstable. With the increase of f, the corresponding Irefdecreases when the period-doubling bifurcation occurs, indicating the stable working range of the system becomes smaller.