@inproceedings{6da4ff211cf44c0b9324f8c23661c986,
title = "Invariant manifolds and start-up dynamics of induction machines",
abstract = "Time-scale properties are investigated for several induction machines with sizes ranging from 3 to 6000 hp. Whereas third-order models neglecting stator transients are relatively accurate, first-order models should not be used for machines of sizes greater than 250 hp unless higher-order corrections are used. Exact invariant manifolds are derived in the case of zero stator resistance and constant or ramping input voltages. Off-manifold variables are used to account properly for the neglected dynamics in studies where such effects can be preponderant. This was illustrated by simulating the dynamic startup of an induction machine with a negligible resistance and by showing the detrimental effects of the braking torque. Using a ramping input voltage effectively reduces this braking torque and allows a smooth acceleration towards rated speed. This shows the significance of starting as close as possible to the invariant manifold corresponding to the stator variables.",
author = "E. Drennan and S. Ahmed-Zaid and Sauer, {Peter W}",
year = "1989",
language = "English (US)",
isbn = "0818620056",
series = "Proceedings of the Annual North American Power Symposium",
publisher = "Publ by IEEE",
pages = "129--138",
editor = "Anon",
booktitle = "Proc Twenty First Ann North Am Power Symp",
note = "Proceedings of the Twenty First Annual North American Power Symposium ; Conference date: 09-10-1989 Through 10-10-1989",
}