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Adapted Morlet wavelet analysis for the rotation speed determination by series-wound motors

100%

Wostenkuhler G. W. , Liu S. , Tingying L.

Systems Science

2002

tom Vol. 28, nr 3

85-93

Series-wound motors are widely used and they are produced in large quantities. To guarantee the quality of the motors, each motor has to be tested. The test of such a motor needs information of the rotational speed of its rotor during the test sequence. An external rotational speed sensor increases the handling time and cannot be applied to all types of motors. The rotational speed can be determined with a frequency estimation method based on the easy to measure electrical current signal at the connector. This contribution describes the adapted Morlet wavelet analysis and its application for frequency estimation. In contrast to the Fourier transform, possible frequency values of this method are not dependent on the length of the time window.

Multiple solutions for nonlinear discontinuous elliptic problems near resonance

100%

Kourogenis N. C. , Papageorgiou N. S.

Colloquium Mathematicum

1999

tom 81

nr 1

89-99

We consider a quasilinear elliptic eigenvalue problem with a discontinuous right hand side. To be able to have an existence theory, we pass to a multivalued problem (elliptic inclusion). Using a variational approach based on the critical point theory for locally Lipschitz functions, we show that we have at least three nontrivial solutions when $λ → λ_1$ from the left, $λ_1$ being the principal eigenvalue of the p-Laplacian with the Dirichlet boundary conditions.