直流降压变换器滑模控制系统非线性动力学行为研究
发布时间：2018-09-12 10:47
【摘要】：随着绿色用电、环保用电、能源之星认证等节能降耗政策的陆续出台,电能变换质量将是电源产业面临和亟待解决的问题,也是目前控制界和工程界科研工作者关注的焦点。据电力电子行业深度调查报告:目前电能的耗用占所有能源耗用的百分之五十五,其中约百分之七十的电能是通过电力电子设备的转换后使用。本文以直流降压变换器(又称为DC-DC Buck变换器)作为控制对象,旨在研究滑模控制方法应用于Buck变换器时诱发的非线性动力学行为,在时域和频域内对其稳定性、高频抖振问题、分岔现象、未建模动态等展开具体分析,并最终通过多相滑模控制方法实现Buck变换器非线性行为的定量抑制。Buck变换器是一类典型的具有开关特性的变结构系统,非常多的文献已经证明滑模控制(Sliding Mode Control)的继电控制特性与Buck变换器具有强适应性。本文首先阐述滑模控制的基本原理,基于建立的Buck变换器在开关管开通/截止情况下的一致微分方程模型,详细给出目前常用的线性滑模、终端滑模和非奇异终端滑模控制方法的设计过程,在时域内推导出保证Buck变换器滑模控制系统稳定的条件,研究控制器设计参数的整定,并在一个开关周期内推导出功率开关管的开关频率。Buck变换器是一类典型的时变非线性系统,储能元件电容和电感的非线性、滞环调制边界层的非线性等直接影响着系统的瞬态响应和输出电压品质。本文以稳定性作为控制指标,建立Buck变换器的采样数据模型,利用Filippov方法对Buck变换器的非线性进行分析和研究。以电源电压作为分岔参数,以锯齿波一个周期内的电容电压采样值作为变量,判断和分析Buck电路的分岔情况;根据特征根选取电路参数,并分析了不同非线性电路参数对系统性能的影响,从而抑制电路振荡现象发生,保证Buck变换器系统的稳定性。未建模动态是影响Buck变换器滑模控制系统非线性动力学行为的重要因素,尤其是滑模控制无法避免的高频抖振问题,会诱发系统的高频段谐波,消耗更多的能量,使得系统产生振荡甚至趋于不稳定。本文首先建立传感器和执行器的未建模动态模型,推导出未建模动态模型的小时间常数对Buck变换器滑模控制系统不连续控制的系统的数学影响关系,并基于描述函数法对未建模动态诱发的高频输出电压谐波在频域内进行定量分析,在频域内推导出幅值和频率与未建模动态、Buck变换器滞环调制等的数学影响关系。滞环调制的非线性已揭示为影响Buck变换器滑模控制系统非线性动力学行为的关键因素,而在实际系统则是通过功率开关管实现,进而诱发复杂的输出电流谐波。本文基于多滑模控制方法,首先阐述其设计过程,进而将其应用于Buck变换器。分析输出电流谐波在稳态滑模面附近的运动轨迹,推导出滞环调制宽度与每一个功率开关管的振荡幅值和频率的数学关系式,并通过调整多相滑模间的相位关系,使得各相中的谐波非线性相互抵消,进而提高Buck变换器输出电压品质。以上研究成果均围绕滑模控制方法展开,且通过仿真实验进行验证和对比,仿真结果表明本文所提控制方法的是有效的,并且可以实施执行。
[Abstract]:With the introduction of energy-saving and consumption-reducing policies such as green power, environmental protection and energy star certification, the quality of power conversion will be a problem that the power industry faces and needs to be solved urgently. It is also the focus of the current control and engineering researchers. Fifty-five percent of the energy used is converted from power electronic devices to power electronic devices. In this paper, DC buck converter (also known as DC-DC Buck converter) is used as the control object to study the nonlinear dynamic behavior induced by sliding mode control applied to Buck converter in time domain and frequency domain. Stability, high frequency buffeting, bifurcation and unmodeled dynamics are analyzed in detail, and the nonlinear behavior of Buck converter is quantitatively suppressed by multiphase sliding mode control method. Buck converter is a typical variable structure system with switching characteristics. Sliding mode control has been proved in many literatures. The basic principle of sliding mode control is described in this paper. Based on the established uniform differential equation model of Buck converter under switching on/off condition, the design process of linear sliding mode, terminal sliding mode and non-singular terminal sliding mode control method is given in detail. The stability conditions of the sliding mode control system of Buck converter are deduced in the time domain. The design parameters of the controller are studied and the switching frequency of the power switch is deduced in a switching period. Linearity and other factors directly affect the transient response and output voltage quality of the system.In this paper,the stability is taken as the control index,the sampling data model of Buck converter is established,and the non-linearity of Buck converter is analyzed and studied by Filippov method.The power supply voltage is taken as the bifurcation parameter,and the capacitor voltage is sampled in a period of sawtooth wave. The bifurcation of Buck converter is judged and analyzed by using the value as a variable, the circuit parameters are selected according to the characteristic root, and the influence of different nonlinear circuit parameters on the performance of the system is analyzed, so as to suppress the circuit oscillation and ensure the stability of the Buck converter system. The important factors of mechanical behavior, especially the high frequency chattering problem which is unavoidable by sliding mode control, will induce the high frequency harmonics of the system, consume more energy, and make the system oscillate or even tend to be unstable. The mathematic influence relation of discontinuous control system of Buck converter sliding mode control system is analyzed quantitatively in frequency domain based on descriptive function method. The mathematic influence relation of amplitude and frequency with unmodeled dynamics and hysteresis modulation of Buck converter is deduced in frequency domain. Modulation nonlinearity has been revealed to be the key factor affecting the nonlinear dynamic behavior of Buck converter sliding mode control system. In practical systems, complex output current harmonics are induced by power switching transistors. The motion trajectory of the output current harmonics near the steady-state sliding surface is analyzed. The mathematical relationship between the width of hysteresis modulation and the oscillation amplitude and frequency of each power switch is derived. By adjusting the phase relationship between the multi-phase sliding modes, the harmonic nonlinearities in each phase are cancelled out and the output voltage quality of the Buck converter is improved. The above research results are all around the sliding mode control method, and the simulation experiments are carried out to verify and compare. The simulation results show that the proposed control method is effective and can be implemented.
【学位授予单位】：哈尔滨工业大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TP273;TM46
本文编号：2238761
[Abstract]:With the introduction of energy-saving and consumption-reducing policies such as green power, environmental protection and energy star certification, the quality of power conversion will be a problem that the power industry faces and needs to be solved urgently. It is also the focus of the current control and engineering researchers. Fifty-five percent of the energy used is converted from power electronic devices to power electronic devices. In this paper, DC buck converter (also known as DC-DC Buck converter) is used as the control object to study the nonlinear dynamic behavior induced by sliding mode control applied to Buck converter in time domain and frequency domain. Stability, high frequency buffeting, bifurcation and unmodeled dynamics are analyzed in detail, and the nonlinear behavior of Buck converter is quantitatively suppressed by multiphase sliding mode control method. Buck converter is a typical variable structure system with switching characteristics. Sliding mode control has been proved in many literatures. The basic principle of sliding mode control is described in this paper. Based on the established uniform differential equation model of Buck converter under switching on/off condition, the design process of linear sliding mode, terminal sliding mode and non-singular terminal sliding mode control method is given in detail. The stability conditions of the sliding mode control system of Buck converter are deduced in the time domain. The design parameters of the controller are studied and the switching frequency of the power switch is deduced in a switching period. Linearity and other factors directly affect the transient response and output voltage quality of the system.In this paper,the stability is taken as the control index,the sampling data model of Buck converter is established,and the non-linearity of Buck converter is analyzed and studied by Filippov method.The power supply voltage is taken as the bifurcation parameter,and the capacitor voltage is sampled in a period of sawtooth wave. The bifurcation of Buck converter is judged and analyzed by using the value as a variable, the circuit parameters are selected according to the characteristic root, and the influence of different nonlinear circuit parameters on the performance of the system is analyzed, so as to suppress the circuit oscillation and ensure the stability of the Buck converter system. The important factors of mechanical behavior, especially the high frequency chattering problem which is unavoidable by sliding mode control, will induce the high frequency harmonics of the system, consume more energy, and make the system oscillate or even tend to be unstable. The mathematic influence relation of discontinuous control system of Buck converter sliding mode control system is analyzed quantitatively in frequency domain based on descriptive function method. The mathematic influence relation of amplitude and frequency with unmodeled dynamics and hysteresis modulation of Buck converter is deduced in frequency domain. Modulation nonlinearity has been revealed to be the key factor affecting the nonlinear dynamic behavior of Buck converter sliding mode control system. In practical systems, complex output current harmonics are induced by power switching transistors. The motion trajectory of the output current harmonics near the steady-state sliding surface is analyzed. The mathematical relationship between the width of hysteresis modulation and the oscillation amplitude and frequency of each power switch is derived. By adjusting the phase relationship between the multi-phase sliding modes, the harmonic nonlinearities in each phase are cancelled out and the output voltage quality of the Buck converter is improved. The above research results are all around the sliding mode control method, and the simulation experiments are carried out to verify and compare. The simulation results show that the proposed control method is effective and can be implemented.
【学位授予单位】：哈尔滨工业大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TP273;TM46
【参考文献】
相关期刊论文 前9条
1 李哲;李颖晖;吴辰;陈柄任;;电流反馈型Buck变换器分岔动力学分析及稳定性控制[J];电力系统保护与控制;2016年18期
2 贾美美;张国山;;电压控制型Buck变换器的混沌控制[J];电子科技大学学报;2016年02期
3 马莉;王常青;丁世宏;赵德安;;Buck型功率变换器无抖振滑模控制器设计[J];农业机械学报;2016年05期
4 张黎明;董戈;汝晓鹏;;Buck开关变换器混沌和分岔现象研究[J];计算机与数字工程;2015年08期
5 李永恒;梁青阳;孙超;孙哲;;Buck变换器的幂次函数指数趋近律滑模算法研究[J];电光与控制;2015年02期
6 毕闯;向勇;张千;王京梅;;Buck ZCS PWM变换器非线性动力学研究[J];系统仿真学报;2014年03期
7 穆朝絮;余星火;孙长银;;非奇异终端滑模控制系统相轨迹和暂态分析[J];自动化学报;2013年06期
8 王明渝;马伟;;单周期控制DC/DC变换器稳定性分析[J];电力电子技术;2011年07期
9 孙红章;毛爱霞;苏向英;刘磊;魏荣慧;刘钢;;Henon系统动力学行为的MATLAB仿真研究[J];商丘师范学院学报;2011年03期
相关博士学位论文 前3条
1 申宇;滑模变结构控制中抖振的特性研究与抑制[D];西安电子科技大学;2012年
2 马伟;单周期控制功率变换器复杂动力学行为研究[D];重庆大学;2011年
3 王艳敏;柔性机械手非奇异终端滑模控制方法的研究[D];哈尔滨工业大学;2009年
相关硕士学位论文 前6条
1 尚佳宁;直流开关变换器的精确建模和稳定性分析方法研究[D];北京交通大学;2016年
2 杨代利;全鲁棒滑模控制理论的研究与应用[D];新疆大学;2014年
3 肖发福;DC/DC变换器混沌现象及其控制研究[D];重庆大学;2014年
4 韩向伟;交流永磁同步电动机的高阶滑模控制[D];哈尔滨工业大学;2007年
5 张柯;DC/DC变换器混沌建模与控制的研究[D];重庆大学;2006年
6 邹艳丽;非线性电路系统中的混沌及其控制研究[D];广西师范大学;2003年
，本文编号：2238761
本文链接：https://www.wllwen.com/kejilunwen/zidonghuakongzhilunwen/2238761.html
