Nonsmooth Modeling and Simulation for Switched Circuits [electronic resource] / by Vincent Acary, Olivier Bonnefon, Bernard Brogliato.

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.

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.