利用弱结构扰动理论确定非线性电路唯一稳态

该文利用弱结构扰动理论得到了确定电路的唯一稳态的新条件,扩展了已有的结果。该文对电路元件的约束,仅要求其成份关系的斜率有界即可,放松了已有的经典结果中要求电路元件斜率为正的限制。     

三阶非自治铁磁混沌电路的分析及控制

本文对一个LC串并联三阶非自治铁磁混沌电路的混沌动力学行为进行了理论研究和计算机仿真分析。得出几点重要结论：(1)此电路仅含一个由磁通链控制的非线性电感元件，可以作为一个四阶自治扭扩系统来分析。(2)通过计算机仿真验证，证实了该电路确实存在混沌动力学行为。(3)凡是能用本文提出三阶非线性非自治微分方程描述的工程物理系统都具有混沌性质。(4)提出了调整线性参数控制混沌法。     

非线性电路稳态分析中非线性函数的谱计算

谐波平衡法是非线性电路中稳态分析的一种有效的方法。作为这种方法的重要组成部分，时域和频域之间的变换与反变换需要反复地进行．因此，其算法的好坏，直接关系到谐波平衡法的效率，本文针对这一问题，提出一种新的计算非线性元件频谱的方法，根据非线性函数本身的性质，充分利用稳态响应中各频率分量已知等信息，直接获得非线性元件的响应，从而达到了快速、准确的目的。     

三阶非自治电路中的混沌振荡

本文研究在正弦电源激励下的三阶电路中的非线性动力性质。在该电路中，唯一的非线性元件是分段线性的负电阻元件。计算机模拟和电路实验表明，该电路在电源电压的有效值改变时，振荡制式会有如下之演变：周期—拟周期—混沌—亚超混沌—混沌—周期。此处所谓的亚超混沌振荡，是指相空间轨线的吸引子具有( ，0，0，-)类型的李雅普诺夫指数谱的振荡制式而言的。这种亚超混沌振荡制式在现有的非线性电路与系统的文献中尚不曾有过报道。本文的计算机模拟结果与电路实验结果之间有较好的吻合。     

基于Picard迭代原理的非线性离散系统多频输入稳态响应的计算与分析

本文应用picard迭代原理和矩阵论中范数的理论提出了一种计算非线性离散系统多频输入稳态响应的方法,并给出了非线性离散系统多频输入稳态响应的通解.这种方法将一个非线性离散系统多频输入稳态响应计算问题化成计算同一个线性离散系统在不同输入下稳态响应的问题.文章用数学推导证明给出了多频输入的非线性离散系统存在唯一稳态响应的李普希次条件,并给出了判断一个非线性离散系统是否满足规定的李普希次条件的判定方法.基于所构建的求解方法,运用MATLAB语言编制了算法程序,对典型实例进行了仿真计算.大量仿真结果表明,本文提出的方法是正确的,且收敛速度较快.     

关于含有非线性元件的迴路的振荡条件

作为非保守的二阶自治系统的一般情形,对同时含有非线性电阻、电感、电容的迴路中的过程作了一些定性研究。在元件特性为单调的、可用多项式迫近的情形下,利用Poincaré的一次奇点定理得到了电路的振荡条件。在附录中,利用近似Z变换及Taylor-Cauchy变换,对这种迴路中的过程作了近似的定量计算并验证了所得的定性结果。     

用元件参数解法的模拟电路故障诊断

本文首先阐明:在模拟电路故障诊断的元件参数求解法中,引进适当的辅助变量有利于降低诊断方程的非线性。注意到文中所导出的这类仅二阶的非线性诊断方程,其Jacobi矩阵具有规则结构,从而给出一个基于QR分解的分块求解算法。最后以文献[5]中的一个视频放大器为例进行比较,结果表明本文的诊断方程及算法效果优异。     

基本电子电路

TN701 02030622电网络基本元件群论确定/熊元新,刘涤尘(武汉大学)11电路与系统学报,一2001,6(4)一1一6文中研究了二端口电网络元件体系中各元件集合之间、多端口电网络元件体系中各元件集合之间的群关系,结果表明,二端口电网络元件集合之间、Zn端口电网络元件集合之间存在子群与陪集关系,荃于这种元件集合之间的群关系,最后确定并用群论证明了二端口电网络基本元件是二端口有源回转器和二端口反照器,多端口电网络基本元件是(p+q)端口回转器和Zn端口反照器.图1参s(金)含有非线性电阻的动态电路唯一稳态研究/冯平,刘元涛(解放军后勤工程学院…     

基本电子电路

’1’到711,6 2002060607潜在电路分析中的拓扑模式图形生成算法研究/李学锋,(21邹蓉(北京航天自动控制所)tI航天控制.一2001,19(2)一49一55在电路网络树拓扑模式被识别出来的基础上,推导出网络树的基本拓扑模式图形生成算法,以便于分析设计人员使用拓扑模式图形的方式对电路系统进行具体的潜在电路分析.图5参《刚)无理想方法.文中采用一种新型冻结系数法,得到了确定电路的唯一稳态新条件,即仅要求电路元件的成分关系斜率有限即可.这便大大放松了目前已有的经典结果中对电路元件的限制,扩展了已有的成果及运用范围.图1参7(木)TN711 200206…     

非线性电阻电路解的存在性及唯一性定理的一种证明

本文重新证明了非线性电阻电路存在唯一解的两个定理。由于应用了着色边定理,可以方便地检验Palais定理中范数应满足的条件。     

Synchronization and Small-Signal Analysis of Nonlinear Periodic Circuits

Common approaches to simulate the steady-state behavior of nonlinear periodic circuits forced by a periodic signal of small amplitude assume that the forcing signal effects are additive to the steady-state solution of the unperturbed circuit. This assumption leads to the adoption of the variational model of the nonlinear unperturbed circuit. The variational model does not pose any particular problem when dealing with nonautonomous circuits, but must be suitably formulated when autonomous circuits are considered and the frequency of the forcing signal is close to the working frequency of the unperturbed nonlinear circuit. We show that, in this case, synchronization effects must be accounted for, and, as synchronization phenomena are intrinsically nonlinear, it is impossible to take them into account using a variational model. In fact, conventional variational models are derived from the unperturbed nonlinear circuit working at steady state and with a fixed relative phase between perturbation and system, i.e., without any possibility of phase shifts (that is, of any dynamics leading to possible synchronization). In general, this yields inaccurate or even wrong results. In this paper, we investigate this limitation of the approaches based on the variational model. Some simulation results are reported that show the transition between the nonsynchronization region to the synchronization one of well-known simple oscillators, such as the Van der Pol one when the parameters of the small-signal perturbation are varied.     

用改进的非线性电流源法分析微波振荡器的稳态响应

本文提出用改进的非线性电流源法和振荡器的振荡条件相结合,进行微波FET振荡器非线性分析的方法.非线性电流源法已经被证明为分析微波振荡器的一种行之有效的方法.但是,当电路中含有多维非线性元件时(例如FET中的I_(d5)(V_(g5),V_(d5)),以往的非线性电流源法就显得无能为力.在此,我们将对非线性电流源法进行改进,并将它运用到微波FET振荡器的非线性分析中.改进的非线性电流源法能够有效地处理含有多维非线性元件电路的分析问题,从而大大提高了非线性电流源法的分析能力和实用性,扩大了其应用范围.     

应用频域谐波平衡法分析谐波功率合成器的特性

在这篇文章中,用非线性网络分析中的频域谐波功率合成器的稳态特性。分析结果表明:在振荡电路及功率合成电路中,这种分析方法较之其它的非线性分析方法更加简单,实用,而且适用于各种复杂的振荡电路结构,是一种理想的分析方法。     

Nonlinear circuit theory: Resistive networks

The impact of computers on circuit analysis and design and the advent of new electronic devices and integrated circuits have generated much interest in nonlinear circuit theory. Recent successes in the analysis of large-scale systems using network models have further enhanced the importance of the subject. A key to the understanding and analysis of nonlinear circuits is the study of nonlinear resistive networks both in theory and in computation. In the study of nonlinear resistive networks it is necessary to know the global properties of nonlinear functions. Thus Palais' global inverse function theorem is of paramount importance. In addition, a global implicit function theorem is often needed. The latter is given in this paper. We apply the global theorems to derive results on nonlinear networks with unique solutions and with multiple solutions. The theory obtained for networks with multiple solutions can be used to analyze and design bistable circuits. In computation, we extend Katzenelson's piecewise-linear analysis to general nonlinear resistive networks. For networks which have a unique solution under all possible inputs, the method converges in a finite number of steps. In addition, we present an efficient method of computing input-output characteristics of networks with single or multiple solutions.     

On the realization of circuit-independent nonautonomous pulse-excited chaotic oscillator circuits

The aim of this paper is to present a simple circuit design method for realizing a nonautonomous chaotic oscillator given a second-order sinusoidal oscillator with two capacitors. The proposed method relies on applying a periodic pulse train, as an exciting source, and the addition of a signum-type nonlinear transconductor to the given sinusoidal oscillator. Experimental results of designed circuits are shown.     

Electronic simulation and microcontroller real implementation of an autonomous chaotic and hyperchaotic system made of a Colpitts-Josephson junction like circuit

Most of the simple Josephson junction (JJ) based circuits with chaotic behavior found in the literature are nonautonomous. Hyperchaotic JJ-based circuits are often either driven by an external force or result from coupling chaotic circuits. An autonomous simple circuit based on Josephson junction active element (JJ), with exactly three physical energy storage tanks, is proposed and analyzed in this paper. This Colpitts-like CLC circuit, though operating at low frequencies, can generate hyperchaotic signals when its nonlinear element is a resistive–capacitive–inductance shunted junction (LRCLSJ) model. Two equilibrium points are found, and their stability analysis is investigated. The proposed circuit displays Hopf bifurcation, periodic oscillations, chaotic and hyperchaotic attractors. The electronic implementation of the proposed circuit using OrCAD-PSpice software is presented to confront the numerical simulations results. A good qualitative agreement is revealed by comparing the analog and numerical simulations results. At last, the microcontroller real implementation is presented using Arduino UNO board. The results obtained are in good agreement with the numerical simulation results.

     

基于MOSFET PDE模型的射频自治电路周期稳态算法研究

本文研究了基于MOSFET PDE模型的射频自治电路周期稳态求解算法.采用该算法仿真典型的Colpitts振荡器电路,得到电压波形和工业界公认标准器件仿真器MEDICI瞬态模拟得到电压波形具有很好的一致性.     

Geometric modeling of nonlinear RLC circuits

In this paper, the dynamics of nonlinear RLC circuits including independent and controlled voltage or current sources is described using the Brayton-Moser equations. The underlying geometric structure is highlighted and it is shown that the Brayton-Moser equations can be written as a dynamical system with respect to a noncanonical Dirac structure. The state variables are inductor currents and capacitor voltages. The formalism can be extended to include circuits with elements in excess, as well as general noncomplete circuits. Relations with the Hamiltonian formulation of nonlinear electrical circuits are clearly pointed out.