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The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括:(1)对于对偶树二进制系数复数小波,利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法,作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法;(2)对于广义离散傅立叶变换与正弦变换对角化系统,提出了高效、快速的多重网格算法,理论上证明了算法的收敛性;(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构,验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质,从而建立基于小波变换求解Toeplitz系统的快速求解方法,运算量级控制在O,其中N为系统的阶。

The so-call'exportable equation'is found by nonlinear geometry method for general non-autonomous chaotic control systems which coefficient matrix of control term is functional matrix contained system variables. The homeomorphic transformation of coordinate is found under specified conditions, the coefficient matrix of control term can be transformed as constant matrix, the synchronization among chaotic systems can be realized by common control methods.

针对一般的非自治混沌控制系统中控制项系数矩阵是含有系统变量的函数矩阵,利用非线性几何线性化的方法找出所谓的"输出方程",在一定的条件下求出坐标的同胚变换,将控制项系数矩阵变换为常矩阵,然后利用常规的控制方法进行混沌系统之间的同步化。

A novel phase-shifted zero-voltage and zero-current switching PWM DC/DC full-bridge converter is presented in this thesis, which is based on the groundwork of summarization of the development of Power Electronics in recent years and lucubration in theoretical basis of modern high frequency soft switching power convert technique and analysis of operation principle, characteristic of the circuit and inherent drawbacks of the traditional phase-shifted zero-voltage switching PWM DC/DC full-bridge con...

本文在对近年来电力电子学科的发展高度综述和对现代高频软开关功率变换技术理论基础深入研究的基础上,对传统的移相控制ZVS PWM DC/DC全桥变换器的工作原理、电路特性、存在的缺点进行了分析,在此基础上提出了一种改进型的移相控制ZVZCS PWM DC/DC全桥变换器。

An input phase voltage is divided into a main range and a transition range in which new P, M, N conditions and PM, NP, MN transition conditions are defined, some null vector is selected and the condition combination sequence of bidirectional power switches are adjusted in each modulation period to realize the safe, reliable and rapid commutation and the stable operation of the matrix converter.

本发明属于矩阵变换器控制技术,为一种用于矩阵变换器的控制方法,通过把输入相电压划分为主区间和过渡区间、在过渡区间定义新的P、M、N状态和PM、NP、MN暂态以及在每个调制周期内选择特定的零矢量并调整双向功率开关状态组合顺序,实现矩阵变换器安全、可靠、快速换流和稳定运行。

The analysis of the optical signal transmission characteristics and the physical parameters provides the theoretical foundation for optimizing the design and improving the performance of AWG; and the optimizing design numerical value calculation method solves the complex problem of the optimizing design of the AWG, it can also provide a way for AWG computer aided design system; the AWG optical signal processing analysis provide a way for optical signal Fourier transform, serial and parallel transmission, circle shift, matrix transform and differential processing; the optical signal processing characteristics of AWG develop AWG to use for new field, and the optical signal processing will play an important role on all-optical networks in the future; by the definition of the wavelength transform matrix of the AWG, the signal output positions that come from these input signals of the different wavelength or the same wavelength but the different input ports and carrying different signals can be accurately determined, and the wavelength transmission matrix plays an important role for analyzing the routing of the complex optical network, or designing the network nodes such as the optical path add/drop multiplexer and optical cross connect device; the wavelength transmission matrix also provides a method for monitoring and managing the wavelength transmission of the optical network nodes; e analysis of the AWG' OXC node structure and wavelength routing provides a way for realizing the OXC, especially for multi-path/multi-wavelength OXC and the intelligence node of the optical networks; by the studying of the control plain characteristics, router, traffic engineering, program and the improved arithmetic of the wavelength routing, the method for realizing the GMPLS' OXC optical transport network is provided, and it play an important role for the study of the automatic switched optical network; the time-frequency analysis can provide more information about the dispersion and energy changes of .the pulsed light transmission in the singlemode fiber, it also provides more useful parameters for analyzing the dispersive accumulating and dispersive compensating.

AWG光信号传输特性与相关参数的分析,为进一步优化设计AWG及提高其性能提供了理论依据,而优化设计计算数值方法解决了AWG优化设计计算的复杂问题,为进一步建立AWG的计算机设计系统提供了基础;AWG光信号处理的特性分析,提出了AWG应用的新领域,为光信号的傅立叶变换、串并传输、循环移位、矩阵变换、微分处理等提供了一条途径;波长传输矩阵变换关系的建立,不仅得到了确定多路AWG每路信号从输入端口到输出端口的准确输出位置的方法,而且在分析应用AWG实现复杂的光通信网络路由的连接、特别在设计分插复用器和交叉连接器等网络节点时有重要的作用,能有效而准确地确定波长的路由关系,为实现节点波长传输路由的监控和管理提供有效手段;基于AWG的OXC结构和波长路由的确定为实现OXC技术、特别是多路多波长的OXC和光网络的智能节点技术提供了有效的方法;控制平面的特征、路由器、流量工程、程序及改进的波长路由算法的研究实现了基于GMPLS的OXC光传送网络的控制平面,为建立自动交换光网路提供了一定的基础;时频分析可以更直观和更清晰地描述脉冲信号在单模光纤中传输色散和能量的变化,为色散积累和色散补偿提供有效的分析参数。

Combined with the nonlinear characteristics of wind turbines and the control strategy of generator-side converter and grid-side converter, used the design method for digital PI regulator, the back-to-back PWM converter on the wind-power system with direct-driven permanent magnet synchronous generator was built in the simulink of the MATLAB.

结合风力机的非线性特性和机侧变换器与网侧变换器的控制策略,应用数字PI调节器参数设计方法,在MATLAB/simulink仿真环境下构建了基于背靠背变换器的永磁直驱风力发电系统,系统包括风力机、永磁同步发电机、变频器、电网及其电气控制部分的数学模型,仿真结果表明风电系统的PI调节器参数设计合理且系统具有良好的运行特性。

Double-frequency three-phase bridge converter in three phase power factor correction, three-phase active power filter are studied theoretically and experimentally.

本部分研究内容提出的双频变换器理论,申请人和导师合作分别于2006、2005年申请成功国家自然科学基金项目&高效率高性能双频变换器理论及其控制&(50677071)、教育部博士点基金项目&双频变换器理论及其应用&(200611012)和重庆市自然科学重点基金项目&新型高效电能变换技术理论及控制研究&(2005BA6017),发表相关论文9篇。

The control signals of the PWM rectifier are obtained by comparing the current of AC side with triangular wave (or saw-tooth wave) directly, which can implement the steadiness of the voltage of DC side and unit capacity factor of the system. At the same time, harmonic component of the system is abstracted through Instant Reactive Power Method, which can be smoothed by Integrated Learning Boost Converter Control.

本文采用重复学习Boost变换技术,利用滑模变结构控制技术对单相PWM整流器恒频Boost变换进行了分析,提出将交流侧电流直接与三角波相比较得到开关控制信号的方法,实现直流电压恒定不变及系统单位功率因数;同时,利用瞬时无功功率法分析系统谐波,并在谐波域内使用重复学习的控制方法,结合Boost变换技术,有效滤除系统谐波有功电流。

Based on one-cycle control having such merits as anti-perturbation of source, fast dynamic response, robustness, constant frequency, but when converter works in light load its power factor becomes very poor. The modified OCC was proposed, adopting feed-forward compensation control improves influence of power factor at light load, further study adopting independence saw tooth wave completely eliminate influence of power factor at light load.

基于单周期控制有源前端变换器具有抗电源扰动能力强、动态响应快、鲁棒性强、恒频控制等优点,但在轻载时变换器的功率因数变差,提出了改进OCC策略,采用前馈补偿控制改善轻载时对功率因数的影响,进一步研究采用独立的锯齿波电路完全消除轻载时对功率因数的影响,建立改进OCCAFE变换器的数学模型。

Dynamic large-signal, DC, and small-signal circuit models including parasitic resistances and current ripples of nonideal synchronous rectifier buck converter operating in CCM are established. Closed-loop modeling of nonideal synchronous rectifier buck converter for voltage-mode control is studied. Transfer functions are obtained. Effects of parasitic components on control loop design of the converter are explored. Systematic simulation analysis is performed. All the results show that it is necessary to include parasitic components of converters into equivalent models.

首次建立了考虑寄生电阻和电流纹波的同步整流 Buck 变换器在连续工作模式下的大信号平均模型、DC 和小信号电路模型,研究了电压控制的闭环建模,导出了传递函数,剖析了变换器的寄生参数对其控制电路设计的影响,进行了小信号特性的仿真研究,进一步阐明了考虑变换器的寄生参数建模的必要性。

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