For a continuous nonvanishing complex-valued function g on the real line, several notions of a mean winding number are introduced. We give necessary conditions for a Toeplitz operator with matrix-valued symbol G to be semi-Fredholm in terms of mean winding numbers of det G. The matrix function G is assumed to be continuous on the real line, and no other apriori assumptions on it are made.

For a continuous nonvanishing complex-valued function g on the real line, several notions of a mean winding number are introduced. We give necessary conditions for a Toeplitz operator with matrixvalued symbol G to be semi-Fredholm in terms of mean winding numbers of detG. The matrix function G is assumed to be continuous on the real line, and no other apriori assumptions on it are made. AMS Sub...

This paper presents the application of neural networks for the non-differential protection of salient-pole synchronous generator against internal faults in any winding of the stator. The direct phase quantities and modified winding function approach has been used to simulate different types of internal and external faults using electrical parameters of generators installed by utilities. The cas...

Overvoltage distribution along the transformer winding must be uniform to certify the safety of the operation of the power transformer. Influence of the parameters variation on the impulse voltage distribution (IVD) in disk winding transformer is going to be analyzed which hasn’t been analyzed on this type of winding in the previous papers. In this research, a transformer with disk winding and ...

This paper discusses the application of MultiLayer Feed Forward Neural Network (MFNN) for the differential protection of the turbogenerator based on pattern classification. The cases of all the possible internal faults in the stator of the generator with lap winding have been simulated using Modified Winding function Approach. The simulated fault currents in the phases and their parallel paths ...

Power system overvoltages due to switching, lightning and other disturbances are the main problem for designers of the power transformers. Once some frequencies of the incoming surges match with some of the natural frequencies of transformer winding, the resonance phenomenon is expected in transformer winding. The resonant overvoltages may destroy the insulation between turns and cause to insul...

We study the thermal partition function of superstring on the pp-wave background with the circle compactification along a transverse direction. We calculate it in the two ways: the operator formalism and the path-integral calculation. The former gives the finite result with no subtlety of the Wick rotation, which only contains the contributions of physical states. On the other hand, the latter ...

Abstract—This paper proposed an estimation approach of temperature rise in stator winding and rotor magnet of a surfaced-mounted permanent magnet (PM) AC motor. By using the 3rd-order extended Kalman filter (EKF) algorithm in rotating reference frame, stator winding resistance and rotor PM flux-linkage can be estimated independently. After comparing the estimation results of resistance and flux...

General closed-form analytical expressions for airgap inductance of surface-mounted PM and induction machines are derived without the assumption of sinusoidally wound windings. The expressions are suitable for all singleor doublelayer, concentrated or distributed windings, and demonstrated to be identical with the winding function approach and share the same advantage that all the harmonics are...

Filament winding is gaining increasing importance due to the widespread availability of modern automation techniques. This requires high designing efforts in order to exploit such a potentiality. For the achievement of high level of accuracy, numeric controlled industrial robots are used to carry special designed delivery eye. Moreover, the necessity to process complex shape objects leads to co...