Scientific Computing in Electrical Engineering (Mathematics in Industry 9 – The European Consortium for Mathematics in Industry)

Jun 29

Computer Application, Computer Engineering, Electrical

Ebook Free Download | Scientific Computing in Electrical Engineering (Mathematics in Industry 9 – The European Consortium for Mathematics in Industry) | Transmission line (TL) theory is a classic topic of Electromagnetics and several well-assessed analysis techniques are available to study through TL models the effects of propagation in a very wide class of problems, e.g.,. Many of such techniques are only suitable for linear problems or for steady-state solutions. However, there are applications such as high-speed electronic circuits where the presence of nonlinear devices and the interest on fast transients require time-domain analysis of systems made by distributed and lumped elements. Due to the high operating frequencies and small sizes of such circuits, a reliable design must account for the signal distortion due to the propagation along the electrical interconnects, present at various hierarchical levels, e.g..
Under suitable hypotheses, the interconnects may be described by means of TL models. The TLs of practical interest have losses, parameters depending on the frequency and may be spatially non-uniform. In many cases the physical parameters of the lines are uncertain and a description of statistical type is required. Lumped circuits may contain dynamic elements (e.g., inductors, capacitors, transformers), resistive elements that may be nonlinear and time-varying {e.g., diodes, transistors, operational amplifiers, logic gates, inverters) and integrated circuits. The interactions between these devices and the TLs, and between the TLs themselves, are described by continuity conditions for voltages and currents at the ‘boundaries’ between the TLs and the lumped circuit elements, and between the TLs themselves.

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