Simulation of Nonlinear Multiport Systems Using Bond Graphs

[+] Author and Article Information
H. R. Martens

State University of New York at Buffalo, Buffalo, N. Y.

J. Dyn. Sys., Meas., Control 95(1), 49-54 (Mar 01, 1973) (6 pages) doi:10.1115/1.3426649 History: Received December 19, 1972; Online July 13, 2010


An approach for the computer simulation of nonlinear multiport systems is presented. Bond graph techniques are utilized in the development. The objective of the formulation is to derive a system of mixed first-order differential/algebraic equations, whose solution is facilitated by approximating the derivatives by a linear combination of the present and several previous solution points. Thus the original system of equations is converted to a system of implicit nonlinear algebraic equations which are solved by a Newton iteration procedure. The formulation procedure lends itself to mechanization similar to ENPORT. Computational results from an illustrative example show the method to be excellent in speed and accuracy relative to other simulation approaches.

Copyright © 1973 by ASME
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