1989
DOI: 10.1109/41.20340
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Adaptive matrix integration for real-time simulation

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Cited by 13 publications
(6 citation statements)
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“…An option to solve the non-linear equations is to linearise the model and then use a technique which solves linear differential equations (Rahrooh, 1989). However using a linearised model does not give the accurate results for transient conditions, thus a technique which can solve non-linear DE's is sought.…”
Section: State Dependent Changesmentioning
confidence: 99%
“…An option to solve the non-linear equations is to linearise the model and then use a technique which solves linear differential equations (Rahrooh, 1989). However using a linearised model does not give the accurate results for transient conditions, thus a technique which can solve non-linear DE's is sought.…”
Section: State Dependent Changesmentioning
confidence: 99%
“…When the largest magnitude of the spurious roots is less than the magnitude of the principal root, the method is said to be relatively stable. Thus, the magnitude of the spurious roots must be less than the magnitude of the principal root for stable and accurate simulation (Rahrooh, 1990).…”
Section: Stability and Convergencementioning
confidence: 99%
“…Thus, it is possible to plot a root locus for varying values of A T. It is useful to observe that the root that is closest to ezT is the principal root as it is the exact mapping of the continuous time pole into discrete time. All the remaining roots are spurious roots as they are adding noise to the integration process (Rahrooh and Hartley, 1989).…”
Section: Stability and Convergencementioning
confidence: 99%
“…For the accurate and stable simulation, the value of h must be chosen so the product of λ m h lies within the relatively stable region of numerical integration, where λ m h is the magnitude of the largest pole of the transfer function 3,4 . The stable region of Euler's numerical integration routine is a unit circle that is centered at (-1 + j0) on the s-plane.…”
Section: Assemexe Accesses Thementioning
confidence: 99%