Cascades of π circuits modeled by independent matrix equations for each infinitesimal unit
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2015-01-01
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A modified numeric procedure is applied to analyse the application of π circuits for representing distributed parameters. Numeric oscillations, which are associated usually with digital simulations associated with π circuits, are decreased. It is shown that these numeric oscillations, or Gibb's oscillations, are not related only to the mentioned associations. They are created by the application of the specific numeric integration methods for solving linear systems that describe the associations of π circuits. If the state equations are determined for each π circuit, then the proposed changes of the numeric routine for solving systems with π circuits lead to results with little influence on the numerical oscillations. This is confirmed using comparisons with results obtained from the Laplace transform and ATP software.
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Progress in Electromagnetics Research Symposium, v. 2015-January, p. 759-765.