Multirate Partial Differential Algebraic Equations
In radio frequency (RF) applications, electric circuits produce signals exhibiting fast oscillations, whereas the amplitude and/or frequency change slowly in time. Thus, solving a system of differential algebraic equations (DAEs), which describes the circuit's transient behaviour, becomes inefficient, since the fast rate restricts the step sizes in time. A multivariate model is able to decouple the widely separated time scales of RF signals and provides an alternative approach. Consequently, a system of DAEs changes into a system of multirate partial differential algebraic equations (MPDAEs). The determination of multivariate solutions allows for the exact reconstruction of corresponding time-dependent signals. Hence, an efficient numerical simulation is obtained by exploiting the periodicities in fast time scales. On the one hand, the simulation of enveloppe-modulated signals requires the solution of initial-boundary value problems of the MPDAEs. On the other hand, the simulation of quasiperiodic signals implies multiperiodic boundary conditions only for the MPDAEs. In case of quasiperiodic signals, a method of characteristics solves the multirate model efficiently, since the system of partial differential algebraic equations exhibits a hyperbolic structure.
Publications
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McKeachie, J. Ryan; Veer, Wytze E.; Short, Luke Chandler; Garnica, R. M.; Appel, Matthew F.; Benter, Thorsten
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McKeachie, J. Ryan; van der Veer, Wytze E.; Short, Luke Chandler; Garnica, R. M.; Appel, Matthew F.; Benter, Thorsten
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Yurchenko, Sergey N.; Jensen, Per; Li, Yan; Buenker, Robert J.; Bunker, Philip R.
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Herausgeber: Taylor & Francis970.
A joint DAE/PDE model for interconnected electrical networks
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Garnica, R. M.; Appel, Matthew F.; Eagan, L.; McKeachie, J. Ryan; Benter, Thorsten
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Garnica, R. M.; Appel, Matthew F.; Eagan, L.; McKeachie, J. Ryan; Benter, Thorsten
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Garnica, R. M.; Appel, Matthew F.; Eagan, L.; McKeachie, J. Ryan; Benter, Thorsten
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2000966.
Gu, Jian-ping; Hirsch, Gerhard; Buenker, Robert J.; Brumm, Martin; Osmann, Gerald; Bunker, Philip R.; Jensen, Per
A theoretical study of the absorption spectrum of singlet CH\(_{2}\)
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2000965.
Gu, Jian-ping; Hirsch, Gerhard; Buenker, Robert J.; Brumm, Martin; Osmann, Gerald; Bunker, Philip R.; Jensen, Per
A theoretical study of the absorption spectrum of singlet CH\(_{2}\)
Journal of Molecular Structure, 517-518 :247-264
2000
