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an investigation of dual stator winding induction machines

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een discussed in [10.31-10.32] using Routh-Hurwitz criterion while a design strategy <strong>of</strong><br />

both observer gains <strong>an</strong>d speed estimator parameters has been proposed <strong>an</strong>d discussed. It<br />

has been shown that the instability region c<strong>an</strong> be reduced by properly designing the<br />

observer gains <strong>an</strong>d speed estimator parameters. In [10.39], the Butterworth method was<br />

used to select the observer gains <strong>an</strong>d the D-decomposition method [10.66, 10.67] defines<br />

the boundary <strong>of</strong> stability area <strong>an</strong>d instability area. However, the effectivities <strong>of</strong> the<br />

observer gains <strong>an</strong>d speed estimator parameters within the whole speed r<strong>an</strong>ge have not<br />

been ensured <strong>an</strong>d checked by author.<br />

Since the effect <strong>of</strong> <strong>stator</strong> resist<strong>an</strong>ce is so signific<strong>an</strong>t at low speed while temperature<br />

affects the <strong>stator</strong> resist<strong>an</strong>ce value so much, the machine parameter adaptive scheme<br />

becomes one <strong>of</strong> the ways to improve the MRAS adaptive algorithm at low speed r<strong>an</strong>ge.<br />

The MRAS scheme has also been used to estimate the <strong>stator</strong> resist<strong>an</strong>ce. This estimation<br />

method was firstly presented in [10.21] <strong>an</strong>d then adopted in [10.34, 10.36, 10.37]. The<br />

design methods for observer gains <strong>an</strong>d estimator parameters c<strong>an</strong> only ensure the stability<br />

<strong>of</strong> two estimators indivi<strong>dual</strong>ly, however the overall estimation algorithm may be<br />

unstable. To solve this problem, in [10.33, 10.36], the speed <strong>an</strong>d <strong>stator</strong> resist<strong>an</strong>ce<br />

estimators are combined to be a multi-input, multi-output system (MIMO) so that the<br />

observer gains <strong>an</strong>d the parameters <strong>of</strong> estimators c<strong>an</strong> be designed properly to ensure the<br />

stability <strong>of</strong> the whole system. A comparison study <strong>of</strong> three different MRAS schemes has<br />

been presented in [10.35].<br />

The speed identification problem at low speed r<strong>an</strong>ge has received considerable<br />

attention <strong>an</strong>d some new approaches c<strong>an</strong> be found in the recent publications. In [10.40], a<br />

different speed adaptive scheme has been proposed, in which the current difference, its<br />

38

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