An operational matrix-based algorithm for simulating linear and fractional differential circuits
Abstract
We present a new time-domain simulation algorithm (named OPM) based on operational matrices, which naturally handles system models cast in ordinary differential equations (ODEs), differential algebraic equations (DAEs), high-order differential equations and fractional differential equations (FDEs). When applied to simulating linear systems (represented by ODEs or DAEs), OPM has similar performance to advanced transient analysis methods such as trapezoidal or Gear's method in terms of complexity and accuracy. On the other hand, OPM naturally handles FDEs without much extra effort, which can not be efficiently solved using existing time-domain methods. High-order differential systems, being special cases of FDEs, can also be simulated using OPM. Moreover, adaptive time step can be utilized in OPM to provide a more flexible simulation with low CPU time. Numerical results then validate OPM's wide applicability and superiority.
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Index Terms
- An operational matrix-based algorithm for simulating linear and fractional differential circuits
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Sponsors
- EDAA: European Design Automation Association
- ECSI
- EDAC: Electronic Design Automation Consortium
- SIGDA: ACM Special Interest Group on Design Automation
- IEEE CEDA
- The Russian Academy of Sciences: The Russian Academy of Sciences
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EDA Consortium
San Jose, CA, United States
Publication History
Published: 12 March 2012
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DATE '12
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- EDAC
- SIGDA
- The Russian Academy of Sciences
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