This paper discusses a novel method for motor fault detection under varying load conditions. Winding Function Approach (WFA) is used to develop a mathematical model to provide indication references for parameters under different load levels and different fault situations. Broken bar defects reference indexes are developed to assess rotor fault severity based on stator current and rotor speed. S...

A simple method to demodulate the resolver signal is introduced in this article. The proposed method can provide the demodulated resolver quadrature signals, sine and cosine, without requiring the resolver excitation signal as the carrier signal. Therefore, the phase delay between the stator winding and the rotor winding is avoided. The configuration of this approach consists of commercial avar...

We investigate some classical aspects of fundamental strings via numerical experiments. In particular, we study the thermodynamics of a string network within a toroidal universe, as a function of string energy density and space dimensionality. We find that when the energy density of the system is low, the dominant part of the string is in the form of closed loops of the shortest allowed size, w...

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...

The generalized winding number function measures insideness for arbitrary oriented triangle meshes. Exploiting this, I similarly generalize binary boolean operations to act on such meshes. The resulting operations for union, intersection, difference, etc. avoid volumetric discretization or pre-processing. 1 Booleans & Classic Winding Numbers If A ⊂ R and B ⊂ R are open subregions of space, then...

We consider a smooth, rotationally invariant, centered gaussian process in the plane, with arbitrary correlation matrix Ctt′ . We study the winding angle φt around its center. We obtain a closed formula for the variance of the winding angle as a function of the matrix Ctt′ . For most stationary processes Ctt′ = C(t− t′) the winding angle exhibits diffusion at large time with diffusion coefficie...

Abstract The unwinding number of a complex was introduced to process automatic computations involving numbers and multi-valued functions, has been successfully applied branches the Lambert W function. In this partly expository note we discuss from purely topological perspective, link it classical winding curve in plane. We also use give representation $$W_k$$ <mml:math xmlns:mml="http://www.w3....

Partial discharge (PD) may occur in a transformer winding due to ageing processes, operational over stressing or defects introduced during manufacture. The presence of PD does not necessarily indicate imminent failure of the transformer but it will lead to serious degradation and ageing mechanisms which can be considered as a precursor of transformer failure. A necessary step is required in ord...