[article]
Titre : |
Conditions of parametric resonance in periodically time-variant systems with distributed parameters |
Type de document : |
texte imprimé |
Auteurs : |
Yong-Kwan Lee, Auteur ; Leonid S. Chechurin, Auteur |
Année de publication : |
2009 |
Article en page(s) : |
11 p. |
Note générale : |
dynamic systems |
Langues : |
Anglais (eng) |
Mots-clés : |
stability problem control systems frequency response function method of stationarization robot-manipulator arm electromechanical transformer |
Résumé : |
Theoretical analysis of the stability problem for the control systems with distributed parameters shall be given. The approach to the analysis of such systems can be composed of two parts. First, the distributed parameter element is modeled by a frequency response function. Second, approximate conditions of parametric resonance are derived by a method of stationarization (describing functions of time-variant elements). The approach is illustrated by two examples. One is a robot-manipulator arm (distributed mechanical parameter system) controlled by a controller with a modulator/demodulator cascade (time-varying element). Another is an electromechanical transformer that consists of a constant current motor and a synchronous generator. Inductance between stator windings and the rotor of the synchronous generator serves as a periodical time-varying parameter, and a long electrical line plays the role of an element with distributed parameters. In both examples, dangerous (in terms of the first parametric resonance) regions for time-varying parameter are obtained theoretically and compared with simulation experiment. |
DEWEY : |
629.8 |
ISSN : |
0022-0434 |
En ligne : |
http://dynamicsystems.asmedigitalcollection.asme.org/issue.aspx?journalid=117&is [...] |
in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 131 N° 3 (Mai 2009) . - 11 p.
[article] Conditions of parametric resonance in periodically time-variant systems with distributed parameters [texte imprimé] / Yong-Kwan Lee, Auteur ; Leonid S. Chechurin, Auteur . - 2009 . - 11 p. dynamic systems Langues : Anglais ( eng) in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 131 N° 3 (Mai 2009) . - 11 p.
Mots-clés : |
stability problem control systems frequency response function method of stationarization robot-manipulator arm electromechanical transformer |
Résumé : |
Theoretical analysis of the stability problem for the control systems with distributed parameters shall be given. The approach to the analysis of such systems can be composed of two parts. First, the distributed parameter element is modeled by a frequency response function. Second, approximate conditions of parametric resonance are derived by a method of stationarization (describing functions of time-variant elements). The approach is illustrated by two examples. One is a robot-manipulator arm (distributed mechanical parameter system) controlled by a controller with a modulator/demodulator cascade (time-varying element). Another is an electromechanical transformer that consists of a constant current motor and a synchronous generator. Inductance between stator windings and the rotor of the synchronous generator serves as a periodical time-varying parameter, and a long electrical line plays the role of an element with distributed parameters. In both examples, dangerous (in terms of the first parametric resonance) regions for time-varying parameter are obtained theoretically and compared with simulation experiment. |
DEWEY : |
629.8 |
ISSN : |
0022-0434 |
En ligne : |
http://dynamicsystems.asmedigitalcollection.asme.org/issue.aspx?journalid=117&is [...] |
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