基于节点法示解线性网络灵敏度的系统方法

把矩阵的张量运算引入到电路的灵敏度计算中,并通过电路分析的节点法的增量方程,导出了计算电路灵敏度矩阵一般公式,提出了求解线性网络灵敏度的一种系统方法。该方法用于电路灵敏度计算,只需要进行一系列矩阵变换与运算,即可得到电路中节点电压和支路电压对电路参数的灵敏度矩阵,基运算过程规则便于用计算机编程实现,有较大的实用价值。     

基于回路法求解线性网络灵敏度的系统方法

本文从网络的回路分析和网络灵敏度分析的增量法出发，将矩阵的张量运算应用于电路的灵敏度分析中，导出了计算电路支路电流和支路电压灵敏度的一般公式，该方法用于电路灵敏度计算，只需要进行一次电路分析和一些矩阵变换与运算，即可得到电路中支路电流和支路电压对电路参数的灵敏度矩阵。该方法是文献[1]的对偶形式，与文献[1]所提出的方法互补形成较为完备线性网络灵敏度分析方法。     

基于电压灵敏度矩阵的分布式配电网电压控制

随着我国分布式光伏的大规模发展,配电网电压的控制变得越来越重要。为了提高配电网中分布式光伏发电的负载能力,文中提出了一种基于电压灵敏度矩阵的配电网电压控制方法。该方法首先通过分析节点注入功率变化对节点电压的影响,构建关联各主节点有功功率和无功功率的电压灵敏度矩阵。然后依据电压灵敏度矩阵,充分利用分布式光伏逆变器的无功调节能力,将配电网的节点电压快速控制在工作范围之内。仿真结果表明,该方法可以有效降低分布式配电网在各种工作场景下的电压偏差,提高电压质量。     

基于Matlab的电路节点分析法

在用计算机求解大规模电路时，多采用节点法分析。Matlab具有强大的矩阵运算功能，在电子技术中应用广泛。对用Matlab分析大规模电路时的模型建立方法进行了研究，并编写了相应的程序用于求解大规模电路中的电流和电压。结合一个实例，说明用Matlab分析大规模电路的方法。     

电路分析的观察法和矩阵法的等效证明

回路电流法与节点电压法是电路分析的有效方法,而节点导纳矩阵Y_n,回路阻抗矩阵Z_l,节点源电流向量I_Sn,回路源电压向量U_Sl是在使用这两种方法时定义的矩阵与向量。然而,教材后文在引入两种方法的矩阵形式时,再次对上述矩阵与向量进行了定义。本文利用矩阵展开法,证明了两种定义的等价性,并给出含有耦合电感及受控源时,上述矩阵与向量的计算方法。     

大变化灵敏度的计算及其性质

本文给出了大变化灵敏度计算的一种新方法混合矩阵法。该方法是以含有受控源的线性m端口网络的混合矩阵方程为依据的,它能分析包括VCVS和CCVS器件的电路。本文还证明了大变化灵敏度计算的8个性质,应用它们,可使运算更加方便灵活。     

微波电路计算机辅助分析

本文评述在频域内分析微波电路特性方面已应用或将要应用的有关技术。简要地讨论微波工程师的特殊需要。介绍根据电压和电流以及波变量构成电路方程的问题,阐明用稀疏矩阵技术解电路方程组的方法。还评论了以多端对连接为基础的方法。阐述一阶和二阶灵敏度的计算技术。在直接法和转置矩阵法之间作了比较,在某些情况下转置矩阵法与以伴随电路为基础的方法相类似。     

线性有源网络的导纳矩阵分析

本文用节点法分析了含理想电压源的网络,从网络的不含源导纳矩阵获得了含源网络的约束导纳矩阵以及节点短路电流源向量的公式。对于运算放大器,借助逆传输表示,统一了运算放大器网络的约束导纳矩阵规则。     

任意维矩阵求逆的FPGA设计与实现

矩阵运算广泛应用于各类电路计算中,矩阵运算的硬件实现能够充分发挥硬件的速度和并行性。其中矩阵求逆是矩阵运算中重要的运算,针对目前多维矩阵难以设计的情况,本文提出了一种任意维矩阵求逆的硬件实现方法,实验达到了预期目标。任意维矩阵求逆的硬件实现在数字信号处理领域将具有广泛的应用前景。     

Matlab应用于大规模电网络的节点分析法

Matlab软件的优点之一是采用的计算表达式几乎与数学表达式相同,它可以使复杂的矩阵运算和复数运算变得非常简单.给出基于大规模电网络的节点方程矩阵形式,并通过具体示例演示,将Matlab软件与电路分析法结舍起来可以解决只能列出方程而无法手工求解的复杂电路问题,这表明将Matlab软件与电路理论分析教学相结合是电路分析课程教改的方向之一.     

Calculation of Symbolic Sensitivities for Large-Scale Circuits in the Sequence of Expressions Form via the Transimpedance Method

In this paper we describe a new method for obtaining, in symbolic form, the network functions and their small- and large-change sensitivities. Our method is based on the two-port transimpedance concept and the sequence of expressions approach to calculation of matrix determinant. We show that the network functions as well as their sensitivities can be expressed by appropriate transimpedances. Each transimpedance is given by an algebraic sum of at most four elements of the inverse of the circuit's reduced node admittance matrix. In our method the complexity of the sequence of expressions grows linearly with the circuit size. The extra effort required to obtain sensitivities is minimal and, more importantly, independent of the circuit size.     

AN ANALYSIS METHOD FOR HIGH-SPEED CIRCUIT SYSTEMS

A new method for analyzing high-speed circuit systems is presented. The method adds transmission line end currents to the circuit variables of the classical modified nodal approach. Then the matrix equation describing high-speed circuit system can be formulated directly and analyzed conveniently for its normative form. A time-domain analysis method for transmission lines is also introduced. The two methods are combined together to efficiently analyze high-speed circuit systems having general transmission lines. Numerical experiment is presented and the results are compared with that calculated by Hspice.     

Treatment of constraint equations in nodal analysis

A method is illustrated by which a singular nodal-impedance matrix may be derived from a conceptual infinite nodal-admittance matrix representing constraint equations for circuit elements such as ideal operational amplifiers. This can greatly increase the possible range of application of nodal analysis.     

节点电压法和修改节点电压法的探讨

本文对"电路分析"课程中的节点电压法和修改节点电压法进行了讨论,通过例子说明修改节点电压法比节点电压法更容易形成电路方程.同时,对如何形成修改节点电压法中的电路方程进行了阐述,该方法也适合于计算机辅助电路分析.本文的介绍和分析对讲授"电路分析"中的节点电压法有一定价值,可供教学参考.     

A Method of Transformation from Symbolic Transfer Function to Active-RC Circuit by Admittance Matrix Expansion

Active-RC circuits containing 2-terminal linear passive elements and ideal transistors or operational amplifiers are derived from symbolic voltage or current transfer functions by admittance matrix transformations without any prior assumption concerning circuit architecture or topology. Since the method is a reversal of symbolic circuit analysis by Gaussian elimination applied to a circuit nodal admittance matrix, it can generate all circuits using the specified elements that possess a given symbolic transfer function. The method is useful for synthesis of low-order circuits, such as those used for cascade implementation, for deriving alternative circuits with the same transfer function as an existing circuit or for realizing unusual transfer functions, as may arise, for example, where a transfer function is required that contains specific tuning parameters     

Method for efficient computation of performance contours

An efficient method for the computation of performance contours is presented. It is based on the simulation of large changes in the element values of a linear nonreciprocal circuit. One inversion per frequency of the nodal admittance matrix represents the major computational effort involved.     

General Purpose Programs for the Frequency Domain Analysis of Microwave Circuits

This paper describes microwave circuit analysis programs techniques for general purpose which perform frequency domain analyses. Differing techniques used in two programs are described. The first uses transfer matrix analysis and is limited to networks having tree structured topologies and two-port devices such as transmission lines, stubs and lumped elements. It runs on a time-shared computer and is used for interactive design. The second program can analyze any linear network including those with multiport elements such as coupled transmission lines. This uses a nodal representation for the circuit and relies on inverting an admittance matrix to perform the analysis. In the first program the user describes his circuit in terms of topology as well as circuit elements. By this technique, a considerable reduction in computer size needed to run this program is effected. A 60 element circuit can be run on a commercial time-sharing service with less than 6K words of available core. The second program requires a large computer; for example, 32K words or core storage are required to analyze a 50 node circuit.     

Selecting measurements to test the functional behavior of analog circuits

This paper presents a method for functional testing of analog circuits, on the basis of circuit sensitivities. The approach selects the minimum number of measurements that allows a precise prediction of a circuit's functional behavior. A criterion is applied to this predicted behavior to determine if the circuit functions according to specifications. The presented method combines a matrix decomposition technique (the singular value decomposition) with an iterative algorithm to select measurements. The number of measurements is determined on the basis of the desired precision of the response prediction and the influence of random measurement errors. Examples demonstrate that the resulting method tests the functional circuit behavior with a high precision, even in the presence of large measurement errors.     

Efficient estimation of sensitivities in TLM with dielectric discontinuities

We present two novel approaches for efficient estimation of objective function sensitivities related to dielectric discontinuities with time-domain transmission line modelling. Using only two simulations, of the original and adjoint structures, the sensitivities with respect to all parameters are obtained. The first approach utilizes an approximation of the adjoint problem. It adapts a recent approach that handles perfectly conducting discontinuities. The second approach exploits the analytic dependence of the nodal scattering matrix on the material properties. The adjoint problem is exact for this case. Our approaches are illustrated through examples involving waveguide dielectric discontinuities.     

Trans-Impedance Filter Synthesis Based on Nodal Admittance Matrix Expansion

This paper demonstrates a method of synthesis of trans-impedance filters using the theory of nodal admittance matrix expansion. Two examples of the Bach Second-Order Lowpass trans-impedance filter and the Multiple Feedback (MFB) Second-Order Lowpass II trans-impedance filter are synthesized, which verifies the feasibility of the proposed method of circuit generation.