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Book Analytical and Numerical Procedures for Fast Periodic Steady State and Transient Analyses of Nonlinear Circuits

Download or read book Analytical and Numerical Procedures for Fast Periodic Steady State and Transient Analyses of Nonlinear Circuits written by Haotian Liu and published by Open Dissertation Press. This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Analytical and Numerical Procedures for Fast Periodic Steady-state and Transient Analyses of Nonlinear Circuits" by Haotian, Liu, 劉昊天, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Effective and efficient simulation and verification techniques are always highly demanded in the electronic design automation (EDA) community. However, existing modeling and simulation approaches could no longer fulfill this growing demand due to the presence of large-scale distributed components and strongly nonlinear devices. In this thesis, two novel techniques are presented for fast simulation and verification of analog and radio-frequency (RF) circuits. Emphasis is placed on developing an analytical approach for periodic steady-state (PSS) analysis and an effective model order reduction (MOR) technique for nonlinear, especially highly nonlinear, systems arising in analog/RF circuit applications. The first approach, named autonomous Volterra (AV), achieves efficient PSS analysis of nonlinear circuits. With elegant analytic forms and availability of efficient solvers, AV constitutes a competitive steady-state algorithm besides the two mainstream PSS algorithms, namely, shooting Newton (SN) and harmonic balance (HB). Nonlinear systems are first captured in nonlinear differential algebraic equations (DAEs), followed by expansion into linear Volterra subsystems. A key step of steady-state analysis lies in modeling each Volterra subsystem with autonomous nonlinear inputs. The PSS solution of these subsystems then proceeds with a series of Sylvester equation solves, completely avoiding the guesses of initial condition and time stepping as in SN, as well as the uncertain length of Fourier series as in HB. Error control in AV is also straightforward by monitoring the norms of the Sylvester equation solutions. It is further demonstrated that AV is readily parallelizable with superior scalability towards large-scale problems. Besides PSS analysis, another important step in analog/RF design is transient as well as general time simulation. To this end, the second part of this thesis features a tensorbased nonlinear model order reduction (TNMOR) algorithm that allows efficient simulation of nonlinear circuits via the emerging techniques utilizing tensors, namely, a multidimensional generalization of matrices. Unlike existing nonlinear model order reduction (NMOR) methods, high-order nonlinearities are captured using tensors in TNMOR, followed by decomposition and reduction to a compact tensor-based reduced-order model (ROM). Consequently, TNMOR completely avoids the dense reduced-order system matrices, which in turn permits faster simulation and less memory requirement. Numerical experiments on transient and PSS analyses confirm the superior accuracy and efficiency of TNMOR, particularly in highly nonlinear scenarios. DOI: 10.5353/th_b5312316 Subjects: Radio circuits - Design and construction

Book Fast Periodic Steady State Analysis of Large Signal Electronic Circuits

Download or read book Fast Periodic Steady State Analysis of Large Signal Electronic Circuits written by Francis Robert Colon and published by . This book was released on 1972 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computer program has been developed to analyze the static, transient and steady state response of nonlinear circuits. The static or d.c. response of the circuit is obtained by using a nodal based Newton-Raphson iterative technique which has been modified to eliminate the usual instability and which gives fast reliable answers. The transient response is determined by using an A-stable variable step size integration formula applied directly to the nodal equations. With the mechanism for transient analysis established it is then possible to perform periodic analysis of nonlinear circuits through the use of a Newton iterative technique that will handle autonomous and non-autonomous systems and which has been found to be more reliable than harmonic balance techniques and which is much faster than simply integrating the equations until the transients become negligible. This technique then is especially valuable for analyzing high Q circuits and for design purposes where fast analysis is essential. (Author).

Book Steady State Analysis of Nonlinear Circuits That Have a Periodic Response

Download or read book Steady State Analysis of Nonlinear Circuits That Have a Periodic Response written by T. J Aprille (Jr) and published by . This book was released on 1971 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: A very important problem is the computer-aided design of nonlinear circuits is the steady state analysis of lightly damped nonlinear circuits such as harmonic multipliers and oscillators. Presently one searches for the periodic response by simply integrating the system equations from a given initial state until the response becomes periodic. In lightly damped systems this integration could extend over many periods making the computation costly. In this paper a Newton algorithm is defined which converges rapidly to the steady state response. The algorithm is applied to several nonlinear circuits. The results show a considerable reduction in the amount of time necessary to compute the steady state response. In addition, the initial iterates give information on the transient response of the system. (Author) mation on the transient response of the system. (Author).

Book Numerical Techniques for Fast and Accurate Transient Analysis of Nonlinear Circuits

Download or read book Numerical Techniques for Fast and Accurate Transient Analysis of Nonlinear Circuits written by Donald A. Calahan and published by . This book was released on 1970 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of nonlinear circuit simulation has from the beginning been plagued by numerical problems arising from the use of numerical methods not matched to the problems which simulation programs were intended to solve. These programs have, however, provided the stimulus for research in this area by electrical engineers or by engineer-mathematician teams. The result has been an enormous increase in the efficiency and reliability of experimental simulation programs. In this paper, it is shown how recent work in sparse matrix methods and numerical integration techniques have made possible analysis of gate-sized switching circuits in seconds with a medium-speed computer and in fractions of a second with high-speed models. Further, it is shown how choice of proper variables affects both the reliability and speed of solution. (Author).

Book New Topics in Simulation and Modeling of RF Circuits

Download or read book New Topics in Simulation and Modeling of RF Circuits written by Alexandru Gabriel Gheorghe and published by CRC Press. This book was released on 2022-09-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Topics in Simulation and Modeling of RF Circuits addresses two main topics: simulation of RF circuits and new models of nonlinear power BAW resonators and filters.Since RF circuits have several unique features, and all analysis methods are based on the circuit essential properties, the book begins by describing the properties of RF circuits, characterization of circuits with customary and uncustomary behavior and some theorems of solutions existence and uniqueness for dynamic nonlinear circuits. Thereafter, the main time domain and frequency domain analysis methods for RF circuits are presented. The advantages and disadvantages of each method have been highlighted, and an algorithm for the time step choice in transient analysis based on energy balance errors is also presented. Lastly, the final part contains some nonlinear circuit models of power BAW resonators. The behavioral models for the time domain analysis are simple circuits containing weakly nonlinear elements. The behavioral models for frequency domain analysis are based on the measured values of the frequency dependent S parameters for a set of incident powers. S parameters corresponding to certain intermodulation products of practical interest are also considered. The physical models contain artificial transmission lines with nonlinear circuit elements corresponding to mechanical and electrical nonlinearities.

Book Scientific and Technical Aerospace Reports

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Meshfree Methods for Partial Differential Equations V

Download or read book Meshfree Methods for Partial Differential Equations V written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2010-11-04 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly mainstream in various applications. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Fifth International Workshop on Meshfree Methods, held in Bonn in August 2009. The articles address the different meshfree methods and their use in applied mathematics, physics and engineering. The volume is intended to foster this highly active and exciting area of interdisciplinary research and to present recent advances and findings in this field.

Book Computer Methods for Analysis of Mixed Mode Switching Circuits

Download or read book Computer Methods for Analysis of Mixed Mode Switching Circuits written by Fei Yuan and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Methods for Analysis of Mixed-Mode Switching Circuits provides an in-depth treatment of the principles and implementation details of computer methods and numerical algorithms for analysis of mixed-mode switching circuits. Major topics include: -Computer-oriented formulation of mixed-mode switching circuits, -Network functions of linear and nonlinear time-varying systems, -Numerical Laplace inversion based integration algorithms and inconsistent initial conditions, -Time domain analysis of periodically switched linear and nonlinear circuits including response, sensitivity, noise, clock jitter, and statistical quantities, -Time domain analysis of circuits with internally controlled switches and over-sampled sigma-delta modulators, -Tellegen's theorem, frequency reversal theorem, and transfer function theorem of periodically switched linear circuits and their applications, -Frequency domain analysis of periodically switched linear and nonlinear circuits including response, sensitivity, group delay, noise, and statistical quantities.

Book Analysis and Design of Autonomous Microwave Circuits

Download or read book Analysis and Design of Autonomous Microwave Circuits written by Almudena Suarez and published by John Wiley & Sons. This book was released on 2009-02-17 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents simulation techniques that substantially increase designers' control over the oscillationin autonomous circuits This book facilitates a sound understanding of the free-running oscillation mechanism, the start-up from the noise level, and the establishment of the steady-state oscillation. It deals with the operation principles and main characteristics of free-running and injection-locked oscillators, coupled oscillators, and parametric frequency dividers. Analysis and Design of Autonomous Microwave Circuits provides: An exploration of the main nonlinear-analysis methods, with emphasis on harmonic balance and envelope transient methods Techniques for the efficient simulation of the most common autonomous regimes A presentation and comparison of the main stability-analysis methods in the frequency domain A detailed examination of the instabilization mechanisms that delimit the operation bands of autonomous circuits Coverage of techniques used to eliminate common types of undesired behavior, such as spurious oscillations, hysteresis, and chaos A thorough presentation of the oscillator phase noise A comparison of the main methodologies of phase-noise analysis Techniques for autonomous circuit optimization, based on harmonic balance A consideration of different design objectives: presetting the oscillation frequency and output power, increasing efficiency, modifying the transient duration, and imposing operation bands Analysis and Design of Autonomous Microwave Circuits is a valuable resource for microwave designers, oscillator designers, and graduate students in RF microwave design.

Book Sspicehom

Download or read book Sspicehom written by Wanliang Ma and published by . This book was released on 2001 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Microwave Electronics

Download or read book Microwave Electronics written by Giovanni Ghione and published by Cambridge University Press. This book was released on 2018 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained guide to microwave electronics, covering passive and active components, linear, low-noise and power amplifiers, microwave measurements, and CAD techniques. It is the ideal text for graduate and senior undergraduate students taking courses in microwave and radio-frequency electronics, as well as professional microwave engineers.

Book Steady State Methods for Simulating Analog Circuits

Download or read book Steady State Methods for Simulating Analog Circuits written by Kenneth Scott Kundert and published by . This book was released on 1989 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Novel Mathematics Inspired by Industrial Challenges

Download or read book Novel Mathematics Inspired by Industrial Challenges written by Michael Günther and published by Springer Nature. This book was released on 2022-03-30 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume convenes a rich selection of works with a focus on innovative mathematical methods with applications in real-world, industrial problems. Studies included in this book are all motivated by a relevant industrial challenge, and demonstrate that mathematics for industry can be extremely rewarding, leading to new mathematical methods and sometimes even to entirely new fields within mathematics. The book is organized into two parts: Computational Sciences and Engineering, and Data Analysis and Finance. In every chapter, readers will find a brief description of why such work fits into this volume; an explanation on which industrial challenges have been instrumental for their inspiration; and which methods have been developed as a result. All these contribute to a greater unity of the text, benefiting not only practitioners and professionals seeking information on novel techniques but also graduate students in applied mathematics, engineering, and related fields.

Book Nonlinear Circuit Simulation and Modeling

Download or read book Nonlinear Circuit Simulation and Modeling written by José Carlos Pedro and published by Cambridge University Press. This book was released on 2018-06-14 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical, tutorial guide to the nonlinear methods and techniques needed to design real-world microwave circuits.

Book An Incremental Charge Method for the Analysis on Nonlinear Circuits

Download or read book An Incremental Charge Method for the Analysis on Nonlinear Circuits written by Stephen John Nuspl and published by . This book was released on 1964 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conventional numerical methods for nonlinear transient circuit analysis apply standard numerical procedures to the equations obtained from Kirchhoff's laws. In this thesis is developed a method of analysis in which only one of Kirchhoff's laws is forced to hold and the other is used to make numerical corrections. The method developed assumes that the current law holds and the voltage law may be violated. To obtain sufficiently simple numerical formulas, a circuit with a tree-type topology is assumed. Relying on this the basic charge distribution and node voltage calculation formulas are derived for the general branch which may consist of a resistance, a capacitance, an inductance, a voltage source or any series combination of these. Since this method favors current controlled nonlinear elements, an analogous but more restricted method for conveniently including votage-controlled devices is developed. A brief discussion of errors and their compensation and of stability is included. Because of the importance of diodes and transistors, the technique by which they can be efficiently analyzed by the method is developed. The advantages are that the method provides for the models the means for making numerical corrections. A technique by which transmission lines can be handled is also described. A program based on this method is presented through a brief description.