Nonsmooth Modeling and Simulation for Switched Circuits

Complete with examples and simulation results, this volume explores the nonsmooth dynamical systems (NSDS) modeling approach, using piecewise-linear and multivalued models of electronic devices. Readers will find a comparison of SPICE and hybrid methods, which demonstrates the power of the NSDS approach.

Nonsmooth Modeling and Simulation for Switched Circuits concerns the modeling and the numerical simulation of switched circuits with the nonsmooth dynamical systems (NSDS) approach, using piecewise-linear and multivalued models of electronic devices like diodes, transistors, switches. Numerous examples (ranging from introductory academic circuits to various types of power converters) are analyzed and many simulation results obtained with the INRIA open-source SICONOS software package are presented. Comparisons with SPICE and hybrid methods demonstrate the power of the NSDS approach. Nonsmooth Modeling and Simulation for Switched Circuits is intended to researchers and engineers in the field of circuits simulation and design, but may also attract applied mathematicians interested by the numerical analysis for nonsmooth dynamical systems, as well as researchers from Systems and Control.

Shows that using piecewise linear and multivalued models of electronic components with a suitable numerical method may be of interest for the virtual prototyping of circuits Essentially dedicated to the numerical implementation, with a lot of numerical results obtained with the open-source simulation platform SICONOS developed at the INRIA Files for the simulation will be available on the SICONOS website so that anyone can use them to make his/her further simulations and comparisons Includes supplementary material: sn.pub/extras

Klappentext
Nonsmooth Modeling and Simulation for Switched Circuits concerns the modeling and the numerical simulation of switched circuits with the nonsmooth dynamical systems (NSDS) approach, using piecewise-linear and multivalued models of electronic devices like diodes, transistors, switches. Numerous examples (ranging from introductory academic circuits to various types of power converters) are analyzed and many simulation results obtained with the INRIA open-source SICONOS software package are presented. Comparisons with SPICE and hybrid methods demonstrate the power of the NSDS approach. Nonsmooth Modeling and Simulation for Switched Circuits is intended to researchers and engineers in the field of circuits simulation and design, but may also attract applied mathematicians interested by the numerical analysis for nonsmooth dynamical systems, as well as researchers from Systems and Control.

Inhalt
Part I Theoretical Framework.- 1 Switched Circuits. 2 Mathematical Background.- Part II Dynamics Generation and Numerical Algorithms.- 3 Conventional Circuit Equation Formulation and Simulation. 4 Nonsmooth Modeling of Electrical Components. 5 Timestepping Schemes and One Step Solvers.- Part III Numerical Simulations.- 6 The ACEF module and the software. 7 Simple Circuits. 8 Buck and Delta-Sigma Converters.- A Some Facts in Real Analysis. References. Index.