This comprehensive volume reveals how, using basic principles of elementary circuit analysis along with familiar numerical methods, readers can build up sophisticated electronic simulation tools capable of analyzing large, complicated circuits. The book describes in clear language an especially broad range of uses to which circuit simulation principles may be put-from running general applications, to understand why SPICE works in some cases and not in others.
Circuit Simulation Methods and Algorithms provides a step-by-step theoretical consideration of methods, techniques, and algorithms in an easy-to-understand format. Many illustrations explain more difficult problems and present instructive circuits. The book works on three levels: The simulator-user level for practitioners and students who want to better understand circuit simulators. The basic theoretical level, with examples, dedicated to students and beginning researchers. The thorough level for deep insight into circuit simulation based on computer experiments using PSPICE and OPTIMA. Only basic mathematical knowledge, such as matrix algebra, derivatives, and integrals, is presumed.
Simulation based on mathematical models plays a major role in computer aided design of integrated circuits (ICs). Decreasing structure sizes, increasing packing densities and driving frequencies require the use of refined mathematical models, and to take into account secondary, parasitic effects. This leads to very high dimensional problems which nowadays require simulation times too large for the short time-to-market demands in industry. Modern Model Order Reduction (MOR) techniques present a way out of this dilemma in providing surrogate models which keep the main characteristics of the device while requiring a significantly lower simulation time than the full model. With Model Reduction for Circuit Simulation we survey the state of the art in the challenging research field of MOR for ICs, and also address its future research directions. Special emphasis is taken on aspects stemming from miniturisations to the nano scale. Contributions cover complexity reduction using e.g., balanced truncation, Krylov-techniques or POD approaches. For semiconductor applications a focus is on generalising current techniques to differential-algebraic equations, on including design parameters, on preserving stability, and on including nonlinearity by means of piecewise linearisations along solution trajectories (TPWL) and interpolation techniques for nonlinear parts. Furthermore the influence of interconnects and power grids on the physical properties of the device is considered, and also top-down system design approaches in which detailed block descriptions are combined with behavioral models. Further topics consider MOR and the combination of approaches from optimisation and statistics, and the inclusion of PDE models with emphasis on MOR for the resulting partial differential algebraic systems. The methods which currently are being developed have also relevance in other application areas such as mechanical multibody systems, and systems arising in chemistry and to biology. The current number of books in the area of MOR for ICs is very limited, so that this volume helps to fill a gap in providing the state of the art material, and to stimulate further research in this area of MOR. Model Reduction for Circuit Simulation also reflects and documents the vivid interaction between three active research projects in this area, namely the EU-Marie Curie Action ToK project O-MOORE-NICE (members in Belgium, The Netherlands and Germany), the EU-Marie Curie Action RTN-project COMSON (members in The Netherlands, Italy, Germany, and Romania), and the German federal project System reduction in nano-electronics (SyreNe).
A DEFINITIVE TEXT ON DEVELOPING CIRCUIT SIMULATORS Circuit Simulation gives a clear description of the numerical techniques and algorithms that are part of modern circuit simulators, with a focus on the most commonly used simulation modes: DC analysis and transient analysis. Tested in a graduate course on circuit simulation at the University of Toronto, this unique text provides the reader with sufficient detail and mathematical rigor to write his/her own basic circuit simulator. There is detailed coverage throughout of the mathematical and numerical techniques that are the basis for the various simulation topics, which facilitates a complete understanding of practical simulation techniques. In addition, Circuit Simulation: Explores a number of modern techniques from numerical analysis that are not synthesized anywhere else Covers network equation formulation in detail, with an emphasis on modified nodal analysis Gives a comprehensive treatment of the most relevant aspects of linear and nonlinear system solution techniques States all theorems without proof in order to maintain the focus on the end-goal of providing coverage of practical simulation methods Provides ample references for further study Enables newcomers to circuit simulation to understand the material in a concrete and holistic manner With problem sets and computer projects at the end of every chapter, Circuit Simulation is ideally suited for a graduate course on this topic. It is also a practical reference for design engineers and computer-aided design practitioners, as well as researchers and developers in both industry and academia.
Numerical simulation and modelling have been growing in importance and seeing steadily increasing practical application. The proliferation of applications and physical domains for which simulation technologies are now needed, compounded by generally increased complexity, has expanded the scope of numerical simulation and modelling within CAD and spurred new research directions. Numerical Simulation and Modelling of Electronic and Biochemical Systems provides an introduction to the fundamentals of numerical simulation, and to the basics of modelling electronic circuits and biochemical reactions. The emphasis is on capturing a minimal set of important concepts succinctly, but concretely enough that the reader will be left with an adequate foundation for further independent exploration. Starting from mathematical models of basic electronic elements, circuits are modelled as nonlinear differential-algebraic equation (DAE) systems. Two basic techniques - quiescent steady state and transient - for solving these differential equations systems are then developed. It is then shown how biochemical reactions can also be modelled deterministically as DAEs. Following this, frequency domain techniques for finding sinusoidal steady states of linear DAEs are developed, as are direct and adjoint techniques for computing parameter sensitivities and the effects of stationary random noise. For readers interested in a glimpse of topics beyond these basics, an introduction to nonlinear periodic steady state methods (harmonic balance and shooting) and the multitime partial differential equation formulation is provided. Also provided is an overview of model order reduction, an important topic of current research that has roots in numerical simulation algorithms. Finally, sample applications of nonlinear oscillator macromodels - in circuits (PLLs), biochemical reaction-diffusion systems and nanoelectronics - are presented.
Simulation of Power Electronic Circuits covers a wide spectrum of topics from fundamentals of circuit simulation to a variety of power electronics applications. It enables the readers to appreciate what goes into simulation tools, how equations are assembled, how they are solved, what are the factors affecting accuracy of numerical methods, why only certain methods are useful for circuit simulation, etc. Detailed treatment of fundamentals of circuit simulation is combined with theoretical treatment of several power electronics circuits and systems, which makes the book a valuable resource for students of power electronics. The book also enables teachers of power electronics to assign meaningful simulation problems as home work assignments, something that will help the student to significantly enhance his/her understanding of the subject.
Circuit simulation has become an essential tool in circuit design and without it's aid, analogue and mixed-signal IC design would be impossible. However the applicability and limitations of circuit simulators have not been generally well understood and this book now provides a clear and easy to follow explanation of their function. The material covered includes the algorithms used in circuit simulation and the numerical techniques needed for linear and non-linear DC analysis, transient analysis and AC analysis. The book goes on to explain the numeric methods to include sensitivity and tolerance analysis and optimisation of component values for circuit design. The final part deals with logic simulation and mixed-signal simulation algorithms. There are comprehensive and detailed descriptions of the numerical methods and the material is presented in a way that provides for the needs of both experienced engineers who wish to extend their knowledge of current tools and techniques, and of advanced students and researchers who wish to develop new simulators.
Learn how analog circuit simulators work with these easy to use numerical recipes implemented in the popular Python programming environment. This book covers the fundamental aspects of common simulation analysis techniques and algorithms used in professional simulators today in a pedagogical way through simple examples. The book covers not just linear analyses but also nonlinear ones like steady state simulations. It is rich with examples and exercises and many figures to help illustrate the points. For the interested reader, the fundamental mathematical theorems governing the simulation implementations are covered in the appendices. Demonstrates circuit simulation algorithms through actual working code, enabling readers to build an intuitive understanding of what are the strengths and weaknesses with various methods Provides details of all common, modern circuit simulation methods in one source Provides Python code for simulations via download Includes transistor numerical modeling techniques, based on simplified transistor physics Provides detailed mathematics and ample references in appendices
This Book On A Very Topical Subject Is Aimed At Engineers Who Either Use Or Develop Cad Tools For Circuit Design, Be It At The Discrete Device Level Or At The Lsi/Vlsi Level. The Book Is Unique In The Sense That It Covers Analog Circuit Simulation, Device Models, Logic Simulation And Fault Simulation. These Topics Traditionally Belong To Different Areas Of Electrical Engineering And Are Therefore Not Covered In One Book. However, A Person Doing Circuit Design On A Computer Today Needs To Know All Aspects Of The Simulation. This Book Attempts To Satisfy This Need. Many Examples Of Programs As Well As Applications Are Given. Every Chapter Contains Solved As Well As Unsolved Problems. In Addition, Programming Assignments Are Included. Mathematics Has Been Kept To A Minimum And An Intuitive Approach Has Been Taken.The Background Required Is That Of Final Year Undergraduate In Electrical Engineering. It Is Expected That Much Of This Material Would Percolate Down To More Basic Courses In Future Years.
This textbook teaches in one, coherent presentation the three distinct topics of analysis of electronic circuits, mathematical numerical algorithms and coding in a software such as MATLAB®. By combining the capabilities of circuit simulators and mathematical software, the author teaches key concepts of circuit analysis and algorithms, using a modern approach. The DC, Transient, AC, Noise and behavioral analyses are implemented in MATLAB to study the complete characteristics of a variety of electronic circuits, such as amplifiers, rectifiers, hysteresis circuits, harmonic traps and passes, polyphaser filters, directional couplers, electro-static discharge and piezoelectric crystals. This book teaches basic and advanced circuit analysis, by incorporating algorithms and simulations that teach readers how to develop their own simulators and fully characterize and design electronic circuits. Teaches students and practitioners DC, AC, Transient, Noise and Behavioral analyses using MATLAB; Shows readers how to create their own complete simulator in MATLAB by adding materials learned in all 6 chapters of the book; Balances theory, math and analysis; Introduces many examples such as noise minimization, parameter optimization, power splitters, harmonic traps and passes, directional couplers, polyphase filters and electro-static discharge that are hardly referenced in other textbooks; Teaches how to create the fundamental analysis functions such as linear and nonlinear equation solvers, determinant calculation, random number generation and Fast Fourier transformation rather than using the built-in native MATLAB codes.
