By G. Ciuprina, D. Ioan
This publication is a suite of chosen papers offered on the final clinical Computing in electric Engineering (SCEE) convention, held in Sinaia, Romania, in 2006. The sequence of SCEE meetings goals at addressing mathematical difficulties that have a relevance to undefined, with an emphasis on modeling and numerical simulation of digital circuits, electromagnetic fields but additionally coupled difficulties and common mathematical and computational equipment.
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Extra resources for Scientific Computing in Electrical Engineering (Mathematics in Industry The European Consortium for Mathematics in Industry)
No additional circuit equations are needed if the voltage drops along the massive conductors and the currents through the coils are known on beforehand [23, 33]. If this is not the case, the voltage drops along the massive conductors and the currents Transient Field-Circuit Coupled Models with Switching Elements 33 through the stranded conductors should appear as degrees of freedom in the circuit system. A systematic description of the circuit problem accounting for this consists of a division of the circuit into a tree and a co-tree while forcing the solid conductors (together with the voltage sources and the capacitors) and the stranded conductors (together with the current sources and the inductors) to be part of the tree and the co-tree respectively.
The error, measured in the norm y err = j yj |xn+1,j | + δabs 2 (23) where δabs is an absolute tolerance, is compared to a user-defined error tolerance tol multiplied by an acceleration factor µ, typically set slightly larger than 1. If y err > µ tol , the last time step is rejected, otherwise the time step is accepted. 9 . 3 Sinusoidal dynamics Many electrotechnical devices are excited by sinusoidal voltages and currents. For that case, a bad performance of the above described error-controlled adaptive timestepping scheme was observed .
13, 14 and 15. In particular, Fig. 13 shows that poles and spectral zeros resulting from BT are scattered, while in Fig. 14, the poles and spectral zeros from one gramian are clustered close to the jω axis. Spectral zeros resulting from PRBT are aligned along some of the spectral zeros of the original system, as seen in Fig. 15. 20 Roxana Ionutiu, Sanda Lefteriu, and Athanasios C. Antoulas However, comparing Figs. 16, 17, and 18, we identify a similarity between the distribution of spectral zeros and poles resulting from PRIMA, SZM, and optimal H2 respectively.
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