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Implicit Implementation of the Weighted Backward Euler Formula

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1 Author(s)
El-Sherif, H. H. ; IBM Components Division Laboratory in Poughkeepsie, New York, USA

This communication describes how the weighted backward Euler formula, as applied to analyze electromechanical systems, can be implicitly implemented by replacing capacitors and inductors by resistors and voltage or current sources, respectively, and by replacing the driving functions by their first differences. This replaces the set of differential equations, which describes the capacitive voltages and the inductive currents, by a set of algebraic first difference equations.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

Published in:

IBM Journal of Research and Development  (Volume:12 ,  Issue: 4 )